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  • Challenging question find if there is an element repeating himself n/k times

    - by gleb-pendler
    here how it's goes: You have an array size n and a constant k (whatever) you can assume the the array of int type tho it kind be of whatever type but just for the clearane let assume it's an integer. Describe an algorithm that finds if there is an element/s that repeat itself at least n/k times... if there is return one - do it in linear time running O(n) Imortent: now the catch do this algorithm or even pseuo-code using a constant usage of memory and running over the array only TWICE!!!

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  • Where do you extend classes in your rails application?

    - by ro
    Just about to extend the Array class with the following extension: class Array def shuffle! size.downto(1) { |n| push delete_at(rand(n)) } self end end However, I was wondering where a good place to keep these sort of extensions. I was thinking environment.rb or putting in its own file in the initializers directory.

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  • Format form fields for bootstrap using rails+nokogiri

    - by user1116573
    I have the following in an initializer in a rails app that uses Twitter bootstrap so that it removes the div.field_with_errors that rails applies when validation fails on a field but also the initializer adds the help/validation text after the erroneous input field: require 'nokogiri' ActionView::Base.field_error_proc = Proc.new do |html_tag, instance| html = %(<div class="field_with_errors">#{html_tag}</div>).html_safe form_fields = [ 'textarea', 'input', 'select' ] elements = Nokogiri::HTML::DocumentFragment.parse(html_tag).css("label, " + form_fields.join(', ')) elements.each do |e| if e.node_name.eql? 'label' html = %(#{e}).html_safe elsif form_fields.include? e.node_name if instance.error_message.kind_of?(Array) html = %(#{e}<span class="help-inline">&nbsp;#{instance.error_message.join(',')}</span>).html_safe else html = %(#{e}<span class="help-inline">&nbsp;#{instance.error_message}</span>).html_safe end end end html end This works fine but I also need to apply the .error class to the surrounding div.control-group for each error. My initializer currently gives the following output: <div class="control-group"> <label class="control-label" for="post_message">Message</label> <div class="controls"> <input id="post_message" name="post[message]" required="required" size="30" type="text" value="" /><span class="help-inline">&nbsp;can't be blank</span> </div> </div> but I need something adding to my initializer so that it adds the .error class to the div.control-group like so: <div class="control-group error"> <label class="control-label" for="post_message">Message</label> <div class="controls"> <input id="post_message" name="post[message]" required="required" size="30" type="text" value="" /><span class="help-inline">&nbsp;can't be blank</span> </div> </div> The solution will probably need to allow for the fact that each validation error could have more than one label and input that are all within the same div.control-group (eg radio buttons / checkboxes / 2 text fields side by side). I assume it needs some sort of e.at_xpath() to find the div.control-group parent and add the .error class to it but I'm not sure how to do this. Can anyone help? PS This may all be possible using the formtastic or simple_form gems but I'd rather just use my own html if possible. EDIT If I put e['class'] = 'foo' in the if e.node_name.eql? 'label' section then it applies the class to the label so I think I just need to find the parent tag of e and then apply an .error class to it but I can't figure out what the xpath would be to get from label to its div.control-group parent; no combination of dots, slashes or whatever seems to work but xpath isn't my strong point.

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  • Convolve a column vector

    - by Geoff
    This is an OpenCV2 question. I have a matrix: cv::Mat_<Point3f> points; representing some space curve. I want to smooth it (using, for example a Gaussian kernel). I have tried using: cv::Mat_<Point3f> result; cv::GaussianBlur(points, result, cv::Size(4 * sigma, 1), sigma, sigma, cv::BORDER_WRAP); But I get the error: Assertion failed (columnBorderType != BORDER_WRAP)

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  • Jboss Seam Booking Example Extract Shared Libs From Ear

    - by michael lucas
    Example Booking Application, which JBoss Seam is shipped with, build into EAR file of about 7 MB. That's pretty much if you consider deploying this package to a remote Jboss server and possibly redeploying it package many times during your regular work. Lib files like richfaces and jsf-facelet make the lion's share of that EAR size. Why can't we just extract lib files into jboss-web.deployer directory on JBoss 4.2.0 GA server?

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  • Define Javascript slider hit/rollover area

    - by Rob
    Hey, Im having an issue defining the hit area for a javascript sliding element. See example: http://www.warface.co.uk/clients/warface.co.uk/ Please slide over the grey box on the right side to reveal the button, although this works I would only like for the slider to only be triggered by rolling over the red block. CSS .slidingtwitter { /* -- This is the hit area -- */ background: #ccc; width:255px; height:55px; overflow: hidden; top:50%; right: 0px; /* -- This is the sliding start point -- */ position: fixed; font-family: Gotham, Sans-Serif; z-index: 50; } .slidingtwitter.right { right:0px; } .slidingtwitter .caption { /* -- This is the sliding area -- */ background: #fff; position: absolute; width:260px; height:55px; right: -205px; /* -- This is the sliding start point -- */ } .slidingtwitter a { color: #484848; font-size: 20px; text-transform: uppercase; } .slidingtwitter a:hover { color: black; } .slidingtwitter .smaller { font-size: 12px; font-family: Gotham Medium; } .twitterblock { background: #f35555 url("styles/images/button_twitter.png") no-repeat 14px 15px ; width:35px; height:35px; padding:10px; float:left; display:block; } .slidingtwitter .followme { background: url("styles/images/button_arrowheadthin.jpg")no-repeat right 0; height:35px; display:block; float:left; line-height:14px; width:140px; margin:10px 0px 0px 14px; padding-top:6px; padding-right: 40px; } JS $('.slidingtwitter').hover(function(){ $(".slide", this).stop().animate({right:'0px'},{queue:false,duration:400}); //Position on rollover },function() { $(".slide", this).stop().animate({right:'-205px'},{queue:false,duration:400}); //Position on rollout }); Any suggestions would be much appreciated.

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  • Keeping some choices in the Table for the Field of Type Dropdown

    - by Mercy
    Hi, i am having a Table named Attributes which has id form_id label size sequence_no Type 1 1 Name 200 1 Text 2 1 Age 150 2 Number 3 1 Address 300 3 Textarea 4 1 Gender 200 4 Dropdown I am having the doubt how can i keep the Choices of the Field of type "Dropdown" in the Table Eg. For Gender the choices will Male , Female.. Please give me the suggestions...

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  • Numpy array dimensions

    - by cristian
    Hello, I'm currently trying to learn Numpy and Python. Given the following array: import numpy as N a = N.array([[1,2],[1,2]]) Is there a function that returns the dimensions of a (e.g.a is a 2 by 2 array). size() returns 4 and that doesn't help very much. Thanks.

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  • Image compatibility in iphone and android

    - by damodar
    I developed UI for iphone apps and now want to use the same UI in Android apps. I read that Android use dip for image resolution and i also read that 1 dip=1.5 pixel.I simply multiply the image size by 1.5px. Now the problem is that the image is blur and not as clear as in iphone apps.So will some body suggest me how should i make a design so that it could be used in iphone and android.

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  • Need Google Map InfoWindow Hyperlink to Open Content in Overlay (Fusion Table Usage)

    - by McKev
    I have the following code established to render the map in my site. When the map is clicked, the info window pops up with a bunch of content including a hyperlink to open up a website with a form in it. I would like to utilize a function like fancybox to open up this link "form" in an overlay. I have read that fancybox doesn't support calling the function from within an iframe, and was wondering if there was a way to pass the link data to the DOM and trigger the fancybox (or another overlay option) in another way? Maybe a callback trick - any tips would be much appreciated! <style> #map-canvas { width:850px; height:600px; } </style> <script type="text/javascript" src="http://maps.google.com/maps/api/js?sensor=true"></script> <script src="http://gmaps-utility-gis.googlecode.com/svn/trunk/fusiontips/src/fusiontips.js" type="text/javascript"></script> <script type="text/javascript"> var map; var tableid = "1nDFsxuYxr54viD_fuH7fGm1QRZRdcxFKbSwwRjk"; var layer; var initialLocation; var browserSupportFlag = new Boolean(); var uscenter = new google.maps.LatLng(37.6970, -91.8096); function initialize() { map = new google.maps.Map(document.getElementById('map-canvas'), { zoom: 4, mapTypeId: google.maps.MapTypeId.ROADMAP }); layer = new google.maps.FusionTablesLayer({ query: { select: "'Geometry'", from: tableid }, map: map }); //http://gmaps-utility-gis.googlecode.com/svn/trunk/fusiontips/docs/reference.html layer.enableMapTips({ select: "'Contact Name','Contact Title','Contact Location','Contact Phone'", from: tableid, geometryColumn: 'Geometry', suppressMapTips: false, delay: 500, tolerance: 8 }); ; // Try W3C Geolocation (Preferred) if(navigator.geolocation) { browserSupportFlag = true; navigator.geolocation.getCurrentPosition(function(position) { initialLocation = new google.maps.LatLng(position.coords.latitude,position.coords.longitude); map.setCenter(initialLocation); //Custom Marker var pinColor = "A83C0A"; var pinImage = new google.maps.MarkerImage("http://chart.apis.google.com/chart?chst=d_map_pin_letter&chld=%E2%80%A2|" + pinColor, new google.maps.Size(21, 34), new google.maps.Point(0,0), new google.maps.Point(10, 34)); var pinShadow = new google.maps.MarkerImage("http://chart.apis.google.com/chart?chst=d_map_pin_shadow", new google.maps.Size(40, 37), new google.maps.Point(0, 0), new google.maps.Point(12, 35)); new google.maps.Marker({ position: initialLocation, map: map, icon: pinImage, shadow: pinShadow }); }, function() { handleNoGeolocation(browserSupportFlag); }); } // Browser doesn't support Geolocation else { browserSupportFlag = false; handleNoGeolocation(browserSupportFlag); } function handleNoGeolocation(errorFlag) { if (errorFlag == true) { //Geolocation service failed initialLocation = uscenter; } else { //Browser doesn't support geolocation initialLocation = uscenter; } map.setCenter(initialLocation); } } google.maps.event.addDomListener(window, 'load', initialize); </script>

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  • C++: sizeof for array length

    - by Rosarch
    Let's say I have a macro called LengthOf(array): sizeof array / sizeof array[0] When I make a new array of size 23, shouldn't I get 23 back for LengthOf? WCHAR* str = new WCHAR[23]; str[22] = '\0'; size_t len = LengthOf(str); // len == 4 Why does len == 4? UPDATE: I made a typo, it's a WCHAR*, not a WCHAR**.

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  • vc++ - static member is showing error

    - by prabhakaran
    I am using vc++(2010). I am trying to create a class for server side socket. Here is the header file #include<winsock.h> #include<string> #include<iostream> using namespace std; class AcceptSocket { // static SOCKET s; protected: SOCKET acceptSocket; public: AcceptSocket(){}; void setSocket(SOCKET socket); static void EstablishConnection(int portNo,string&); static void closeConnection(); static void StartAccepting(); virtual void threadDeal(); static DWORD WINAPI MyThreadFunction(LPVOID lpParam); }; SOCKET AcceptSocket::s; and the corresponding source file #include<NetWorking.h> #include<string> void AcceptSocket::setSocket(SOCKET s) { acceptSocket=s; } void AcceptSocket::EstablishConnection(int portno,string &failure) { WSAData w; int error = WSAStartup(0x0202,&w); if(error) failure=failure+"\nWSAStartupFailure"; if(w.wVersion != 0x0202) { WSACleanup(); failure=failure+"\nVersion is different"; } SOCKADDR_IN addr; addr.sin_family=AF_INET; addr.sin_port=htons(portno); addr.sin_addr.s_addr=htonl(INADDR_ANY); AcceptSocket::s=socket(AF_INET,SOCK_STREAM,IPPROTO_TCP); if(AcceptSocket::s == INVALID_SOCKET) failure=failure+"\nsocket creating error"; if(bind(AcceptSocket::s,(LPSOCKADDR) &addr,sizeof(addr)) == SOCKET_ERROR) failure=failure+"\nbinding error"; listen(AcceptSocket::s,SOMAXCONN); } void AcceptSocket::closeConnection() { if(AcceptSocket::s) closesocket(AcceptSocket::s); WSACleanup(); } void AcceptSocket::StartAccepting() { sockaddr_in addrNew; int size=sizeof(addrNew); while(1) { SOCKET temp=accept(AcceptSocket::s,(sockaddr *)&addrNew,&size); AcceptSocket * tempAcceptSocket=new AcceptSocket(); tempAcceptSocket->setSocket(temp); DWORD threadId; HANDLE thread=CreateThread(NULL,0,MyThreadFunction,(LPVOID)tempAcceptSocket,0,&threadId); } } DWORD WINAPI AcceptSocket::MyThreadFunction(LPVOID lpParam) { AcceptSocket * acceptsocket=(AcceptSocket *) lpParam; acceptsocket->threadDeal(); return 1; } void AcceptSocket::threadDeal() { "You didn't define threadDeal in the derived class"; } Now the main.cpp is #include<Networking.h> int main() { } When I am compiling The error I got is Error 1 error LNK2005: "private: static unsigned int AcceptSocket::s" (?s@AcceptSocket@@0IA) already defined in NetWorking.obj C:\Documents and Settings\prabhakaran\Desktop\check\check\main.obj check Error 2 error LNK1169: one or more multiply defined symbols found C:\Documents and Settings\prabhakaran\Desktop\check\Debug\check.exe 1 1 check Now anybody please enlighten me about this issue

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  • Hadoop: Processing large serialized objects

    - by restrictedinfinity
    I am working on development of an application to process (and merge) several large java serialized objects (size of order GBs) using Hadoop framework. Hadoop stores distributes blocks of a file on different hosts. But as deserialization will require the all the blocks to be present on single host, its gonna hit the performance drastically. How can I deal this situation where different blocks have to cant be individually processed, unlike text files ?

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  • filesize of large files in c

    - by endeavormac
    How can I get the filesize of a file in C when the filesize is greater than 4gb? ftell returns a 4 byte signed long, limiting it to two bytes. stat has a variable of type off_t which is also 4 bytes (not sure of sign), so at most it can tell me the size of a 4gb file. What if the file is larger than 4 gb?

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  • Problem on creating font using a custom ant task, which extends LWUIT's FontTask.

    - by Smithy
    Hi. I am new to LWUIT and j2me, and I am building a j2me application for showing Japanese text vertically. The phonetic symbol part of the text should be shown in relatively small font size (about half the size of the text), small Kanas need to be shown as normal ones, and some 'vertical only' characters need to be put into the Private Use Area, etc. I tried to build this font into a bitmap font using the FontTask ant task LWUIT provided, but found that it does support the customizations mentioned above. So I decided to write my own task and add those. Below is what I have achieved: 1 An ant task extending the LWUITTask task to support a new nested element <verticalfont>. public class VerticalFontBuildTask extends LWUITTask { public void addVerticalfont(VerticalFontTask anVerticalFont) { super.addFont(anVerticalFont); } } 2 The VerticalFontTask task, which extends the original FontTask. Instead of inserting a EditorFont object, it inserts a VerticalEditorFont object(derived from EditorFont) into the resource. public class VerticalFontTask extends FontTask { // some constants are omitted public VerticalFontTask() { StringBuilder sb = new StringBuilder(); sb.append(UPPER_ALPHABET); sb.append(UPPER_ALPHABET.toLowerCase()); sb.append(HALFWIDTH); sb.append(HIRAGANA); sb.append(HIRAGANA_SMALL); sb.append(KATAKANA); sb.append(KATAKANA_SMALL); sb.append(WIDE); this.setCharset(sb.toString()); } @Override public void addToResources(EditableResources e) { log("Putting rigged font into resource..."); super.addToResources(e); //antialias settings Object aa = this.isAntiAliasing() ? RenderingHints.VALUE_TEXT_ANTIALIAS_ON :RenderingHints.VALUE_TEXT_ANTIALIAS_OFF; VerticalEditorFont ft = new VerticalEditorFont( Font.createSystemFont( this.systemFace, this.systemStyle, this.systemSize), null, getLogicalName(), isCreateBitmap(), aa, getCharset()); e.setFont(getName(), ft); } VerticalEditorFont is just a bunch of methods logging to output and call the super. I am still trying to figure out how to extend it. But things are not going well: none of the methods on the VerticalEditorFont object get called when executing this task. My questions are: 1 where did I do wrong? 2 I want to embed a truetype font to support larger screens. I only need a small part of the font inside my application and I don't want it to carry a font resource weighing 1~2MB. Is there a way to extract only the characters needed and pack them into LWUIT?

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  • OpenGL Coordinate system confusion

    - by user146780
    Maybe I set up GLUT wrong. Basically I want verticies to be reletive to their size in pixels. Ex:right now if I create a hexagon, it hakes up the whole screen even though the units are 6. #include <iostream> #include <stdlib.h> //Needed for "exit" function #include <cmath> //Include OpenGL header files, so that we can use OpenGL #ifdef __APPLE__ #include <OpenGL/OpenGL.h> #include <GLUT/glut.h> #else #include <GL/glut.h> #endif using namespace std; //Called when a key is pressed void handleKeypress(unsigned char key, //The key that was pressed int x, int y) { //The current mouse coordinates switch (key) { case 27: //Escape key exit(0); //Exit the program } } //Initializes 3D rendering void initRendering() { //Makes 3D drawing work when something is in front of something else glEnable(GL_DEPTH_TEST); } //Called when the window is resized void handleResize(int w, int h) { //Tell OpenGL how to convert from coordinates to pixel values glViewport(0, 0, w, h); glMatrixMode(GL_PROJECTION); //Switch to setting the camera perspective //Set the camera perspective glLoadIdentity(); //Reset the camera gluPerspective(45.0, //The camera angle (double)w / (double)h, //The width-to-height ratio 1.0, //The near z clipping coordinate 200.0); //The far z clipping coordinate } //Draws the 3D scene void drawScene() { //Clear information from last draw glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); glLoadIdentity(); //Reset the drawing perspective glPolygonMode(GL_FRONT_AND_BACK, GL_FILL); glBegin(GL_POLYGON); //Begin quadrilateral coordinates //Trapezoid glColor3f(255,0,0); for(int i = 0; i < 6; ++i) { glVertex2d(sin(i/6.0*2* 3.1415), cos(i/6.0*2* 3.1415)); } glEnd(); //End quadrilateral coordinates glutSwapBuffers(); //Send the 3D scene to the screen } int main(int argc, char** argv) { //Initialize GLUT glutInit(&argc, argv); glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGBA | GLUT_DEPTH); glutInitWindowSize(400, 400); //Set the window size //Create the window glutCreateWindow("Basic Shapes - videotutorialsrock.com"); initRendering(); //Initialize rendering //Set handler functions for drawing, keypresses, and window resizes glutDisplayFunc(drawScene); glutKeyboardFunc(handleKeypress); glutReshapeFunc(handleResize); glutMainLoop(); //Start the main loop. glutMainLoop doesn't return. return 0; //This line is never reached } How can I make it so that a polygon of 0,0 10,0 10,10 0,10 defines a polygon starting at the top left of the screen and is a width and height of 10 pixels? Thanks

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  • How to convert m4a file to aac adts file in Xcode?

    - by Bird Hsuie
    I have a mp4 file copied from iPod lib and saved to my Document for my next step, I need it to convert to .mp3 or .aac(ADTS type) I use this code and failed... -(IBAction)compressFile:(id)sender{ NSLog (@"handleConvertToPCMTapped"); // open an ExtAudioFile NSLog (@"opening %@", exportURL); ExtAudioFileRef inputFile; CheckResult (ExtAudioFileOpenURL((__bridge CFURLRef)exportURL, &inputFile), "ExtAudioFileOpenURL failed"); // prepare to convert to a plain ol' PCM format AudioStreamBasicDescription myPCMFormat; myPCMFormat.mSampleRate = 44100; // todo: or use source rate? myPCMFormat.mFormatID = kAudioFormatMPEGLayer3 ; myPCMFormat.mFormatFlags = kAudioFormatFlagsCanonical; myPCMFormat.mChannelsPerFrame = 2; myPCMFormat.mFramesPerPacket = 1; myPCMFormat.mBitsPerChannel = 16; myPCMFormat.mBytesPerPacket = 4; myPCMFormat.mBytesPerFrame = 4; CheckResult (ExtAudioFileSetProperty(inputFile, kExtAudioFileProperty_ClientDataFormat, sizeof (myPCMFormat), &myPCMFormat), "ExtAudioFileSetProperty failed"); // allocate a big buffer. size can be arbitrary for ExtAudioFile. // you have 64 KB to spare, right? UInt32 outputBufferSize = 0x10000; void* ioBuf = malloc (outputBufferSize); UInt32 sizePerPacket = myPCMFormat.mBytesPerPacket; UInt32 packetsPerBuffer = outputBufferSize / sizePerPacket; // set up output file NSString *outputPath = [myDocumentsDirectory() stringByAppendingPathComponent:@"m_export.mp3"]; NSURL *outputURL = [NSURL fileURLWithPath:outputPath]; NSLog (@"creating output file %@", outputURL); AudioFileID outputFile; CheckResult(AudioFileCreateWithURL((__bridge CFURLRef)outputURL, kAudioFileCAFType, &myPCMFormat, kAudioFileFlags_EraseFile, &outputFile), "AudioFileCreateWithURL failed"); // start convertin' UInt32 outputFilePacketPosition = 0; //in bytes while (true) { // wrap the destination buffer in an AudioBufferList AudioBufferList convertedData; convertedData.mNumberBuffers = 1; convertedData.mBuffers[0].mNumberChannels = myPCMFormat.mChannelsPerFrame; convertedData.mBuffers[0].mDataByteSize = outputBufferSize; convertedData.mBuffers[0].mData = ioBuf; UInt32 frameCount = packetsPerBuffer; // read from the extaudiofile CheckResult (ExtAudioFileRead(inputFile, &frameCount, &convertedData), "Couldn't read from input file"); if (frameCount == 0) { printf ("done reading from file"); break; } // write the converted data to the output file CheckResult (AudioFileWritePackets(outputFile, false, frameCount, NULL, outputFilePacketPosition / myPCMFormat.mBytesPerPacket, &frameCount, convertedData.mBuffers[0].mData), "Couldn't write packets to file"); NSLog (@"Converted %ld bytes", outputFilePacketPosition); // advance the output file write location outputFilePacketPosition += (frameCount * myPCMFormat.mBytesPerPacket); } // clean up ExtAudioFileDispose(inputFile); AudioFileClose(outputFile); // show size in label NSLog (@"checking file at %@", outputPath); [self transMitFile:outputPath]; if ([[NSFileManager defaultManager] fileExistsAtPath:outputPath]) { NSError *fileManagerError = nil; unsigned long long fileSize = [[[NSFileManager defaultManager] attributesOfItemAtPath:outputPath error:&fileManagerError] fileSize]; } any suggestion?.......thanks for your great help!

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  • How can I combine xsl:attribute and xsl:use-attribute-sets to conditionally use an attribute set?

    - by Peter
    We have an xml node "item" with an attribute "style", which is "Header1". This style can change however. We have an attribute set named Header1 which defines how this should look in a PDF, generated through xsl:fo. This works (the use-attribute-sets is mentioned inline, in the fo:table-cell node): <xsl:template match="item[@type='label']"> <fo:table-row> <fo:table-cell xsl:use-attribute-sets="Header1"> <fo:block> <fo:inline font-size="8pt" > <xsl:value-of select="." /> </fo:inline> </fo:block> </fo:table-cell> </fo:table-row> </xsl:template> But this doesn't (using xsl:attribute, because the attribute @style can also be Header2 for example). It doesn't generate an error, the PDF is created, but the attributes aren't applied. <xsl:template match="item[@type='label']"> <fo:table-row> <fo:table-cell> <xsl:attribute name="xsl:use-attribute-sets"> <xsl:value-of select="@style" /> </xsl:attribute> <fo:block> <fo:inline font-size="8pt" > <xsl:value-of select="." /> </fo:inline> </fo:block> </fo:table-cell> </fo:table-row> </xsl:template> Does anyone know why? And how we could achieve this, preferably without long xsl:if or xsl:when stuff?

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  • Monochrome BitMap Library

    - by Asad Jibran Ahmed
    I am trying to create a piece of software that can be used to create VERY large (10000x10000) sized bitmaps. All I need is something that can work in monochrome, since the required output is a matrix containing details of black and white pixels in the bitmap. The closest thing I can think of is a font editor, but the size is a problem. Is there any library out there that I can use to create the software, or will I have to write the whole thing from the start?

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  • JavaScript/HTML: How do I display an IMG with a set dimension and if the image is wider or taller th

    - by NickNick
    I have a bunch of images that are guaranteed to have: minimum width = 200px maximum width = 250px minimum height = 150px maximum height = 175px What I want to do is display a consist 200px by 150px rectangle of the image while maintaining scale (no stretching or shrinking). Which means, I might have some overflow. How can I display the image so that it keeps porpotions to the original image size, yet displayed inside a 200x150 px window and hiding any overflow?

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