File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.33: download - view: text, annotated - select for diffs
Thu Nov 11 03:52:35 2010 UTC (13 years, 6 months ago) by www
Branches: MAIN
CVS tags: HEAD
* Implement tolerance on rule-level
* Template

    1: # LearningOnline Network with CAPA
    2: # option list style responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.33 2010/11/11 03:52:35 www Exp $
    5: #
    6: # Copyright Michigan State University Board of Trustees
    7: #
    8: # This file is part of the LearningOnline Network with CAPA (LON-CAPA).
    9: #
   10: # LON-CAPA is free software; you can redistribute it and/or modify
   11: # it under the terms of the GNU General Public License as published by
   12: # the Free Software Foundation; either version 2 of the License, or
   13: # (at your option) any later version.
   14: #
   15: # LON-CAPA is distributed in the hope that it will be useful,
   16: # but WITHOUT ANY WARRANTY; without even the implied warranty of
   17: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   18: # GNU General Public License for more details.
   19: #
   20: # You should have received a copy of the GNU General Public License
   21: # along with LON-CAPA; if not, write to the Free Software
   22: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
   23: #
   24: # /home/httpd/html/adm/gpl.txt
   25: #
   26: # http://www.lon-capa.org/
   27: #
   28: 
   29: package Apache::functionplotresponse;
   30: use strict;
   31: use Apache::response();
   32: use Apache::lonlocal;
   33: use Apache::lonnet;
   34: 
   35: BEGIN {
   36:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','functionplotrule'));
   37: }
   38: 
   39: #
   40: # There can be a number of applets on a page, each called ggbApplet_$id, 
   41: # where $id is the "_"-concatenated part and responseid
   42: #
   43: 
   44: sub geogebra_startcode {
   45:     my ($id)=@_;
   46:     return (<<ENDSTARTCODE);
   47: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   48:          codebase="/adm/geogebra/"  width="714" height="447" MAYSCRIPT>
   49:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   50: ENDSTARTCODE
   51: }
   52: 
   53: sub geogebra_endcode {
   54:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   55: }
   56: 
   57: #
   58: # This is the internal GeoGebra bytecode which defines the spline functions
   59: #
   60: sub geogebra_spline_program {
   61:     return (<<ENDSPLINEPROGRAM);
   62: <param name="ggbBase64" value="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"/>
   63: ENDSPLINEPROGRAM
   64: }
   65: 
   66: #
   67: # The standard set of parameters inside <applet>
   68: #
   69: sub geogebra_default_parameters {
   70:    my ($id)=@_;
   71:    return(<<ENDDEFAULTPARAMETERS);
   72:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   73:         <param name="boxborder" value="false"  />
   74:         <param name="centerimage" value="true"  />
   75:         <param name="java_arguments" value="-Xmx512m" />
   76:         <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_properties.jar" />
   77:         <param name="cache_version" value="3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0" />
   78:         <param name="framePossible" value="false" />
   79: 
   80:         <param name="showResetIcon" value="false" />
   81:         <param name="showAnimationButton" value="false" />
   82:         <param name="enableRightClick" value="false" />
   83:         <param name="errorDialogsActive" value="true" />
   84:         <param name="enableLabelDrags" value="false" />
   85:         <param name="showMenuBar" value="false" />
   86:         <param name="showToolBar" value="false" />
   87:         <param name="showToolBarHelp" value="false" />
   88:         <param name="showAlgebraInput" value="false" />
   89:         <param name="enableShiftDragZoom" value="false" />
   90:         <param name="allowRescaling" value="false" />
   91:         <param name="enableLabelDrags" value="false" />
   92:         <param name="ggbOnInitParam" value="applet_$id" />
   93: ENDDEFAULTPARAMETERS
   94: }
   95: 
   96: #
   97: # This subroutine is called by LON-CAPA at </problem>
   98: # Each applet on the page will call function ggbOnInit when it is done loading
   99: # This function in turn will call the respective function registered by start_init_script
  100: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  101: #
  102: 
  103: sub init_script {
  104:    if ($#Apache::functionplotresponse::callscripts>=0) {
  105:       my $script='';
  106:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  107:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  108:       }
  109:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  110:                ") { setTimeout('ggbInitAll()',20) }";
  111:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  112:       return (<<ENDGGBINIT);
  113: <script type="text/javascript">
  114: // <![CDATA[
  115: // Function that each applet will call when loaded
  116: // It will pass "its" parameter
  117: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  118: function ggbOnInit(param) {
  119: $script
  120: }
  121: function ggbInitAll() {
  122: $calls
  123: }
  124: // ]]>
  125: </script>
  126: ENDGGBINIT
  127:    }
  128: }
  129: 
  130: #
  131: # Each Geogebra applet is supposed to call this when parameters change
  132: # Changes the hidden fields on the web page
  133: #
  134: sub update_script {
  135:     my ($id)=@_;
  136:     return (<<ENDUPDATESCRIPT);
  137: <script type="text/javascript">
  138: // <![CDATA[
  139: function updatePointCoordinates_$id(coordinateName) {
  140:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  141:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  142:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  143:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  144:         }
  145: // ]]>
  146: </script>
  147: ENDUPDATESCRIPT
  148: }
  149: 
  150: #
  151: # Register the above update-handler for a variable
  152: #
  153: 
  154: sub update_register {
  155:    my ($id,$variable)=@_;
  156:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  157: }
  158: 
  159: #
  160: # Set a coordinate variable
  161: #
  162: sub set_coordinate {
  163:    my ($id,$variable,$x,$y)=@_;
  164:    return (<<ENDSETVARIABLE);
  165: document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
  166: ENDSETVARIABLE
  167: }
  168: 
  169: #
  170: # Input field name for a coordinate variable
  171: #
  172: 
  173: sub field_name {
  174:     my ($id,$variable,$name)=@_;
  175:     return "HWVAL_$id\_$variable\_$name";
  176: }
  177: 
  178: #
  179: # Generate an input field for a coordinate variable
  180: #
  181: 
  182: sub generate_input_field {
  183:     my ($id,$variable,$x,$y)=@_;
  184:     $Apache::functionplotresponse::inputfields.=
  185:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  186:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  187: }
  188: 
  189: #
  190: # Initialize a new coordinate variable at set a listener on it
  191: #
  192: sub new_coordinate {
  193:     my ($id,$variable,$x,$y)=@_;
  194:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  195:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  196:     }
  197:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  198:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  199:     }
  200:     &generate_input_field($id,$variable,$x,$y);
  201:     return &set_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
  202: }
  203: 
  204: #
  205: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  206: # It then starts the right headers
  207: #
  208: sub start_init_script {
  209:     my ($id)=@_;
  210: # Add id to the list of ggbInit_$id functions that need to be called
  211:     push(@Apache::functionplotresponse::callscripts,$id);
  212: # ... and open this function
  213:     return (<<ENDSTARTINIT);
  214: <script type="text/javascript">
  215: // <![CDATA[
  216: // variable that will eventually be passed back to the server
  217: var coordinateMap_$id = [];
  218: // flag for not loaded yet
  219: var loaded_$id=false;
  220: // Init-function for applet
  221: function ggbInit_$id() {
  222: ENDSTARTINIT
  223: }
  224: 
  225: #
  226: # This sets the axes inside ggbInit_$id
  227: #
  228: 
  229: sub axes_script {
  230:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  231:     return (<<ENDAXESSCRIPT);
  232:             // changes (xmin, xmax, ymin, ymax)
  233:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  234: 
  235:             // makes the (x,y) axis (in)visible
  236:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  237:             // makes the grid (in)visible
  238:             document.ggbApplet_$id.setGridVisible($gvisible);
  239: ENDAXESSCRIPT
  240: }
  241: 
  242: sub axes_label {
  243:     my ($id,$xlabel,$ylabel)=@_;
  244:     unless ($xlabel || $ylabel) { return ''; }
  245:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  246:     if ($xlabel) {
  247:        $return.=(<<ENDXAXISLABELSCRIPT);
  248: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  249: document.ggbApplet_$id.setVisible("Xlabel",false);
  250: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  251: ENDXAXISLABELSCRIPT
  252:     }
  253:     if ($ylabel) {
  254:        $return.=(<<ENDYAXISLABELSCRIPT);
  255: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  256: document.ggbApplet_$id.setVisible("Ylabel",false);
  257: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  258: ENDYAXISLABELSCRIPT
  259:     }
  260:     return $return;
  261: }
  262: 
  263: sub plot_script {
  264:    my ($id,$function,$fixed)=@_;
  265:    if ($fixed) {
  266: # Use stupid trick to nail this to a location
  267: # Oddly, it seems like only one plot cannot be nailed to a location
  268: # Non-nailed-down plots apparently get overwritten
  269:       return (<<ENDPLOTSCRIPT);
  270:             document.ggbApplet_$id.evalCommand("a=1");
  271:             document.ggbApplet_$id.setVisible("a",false);
  272:             // This MUST be a DEPENDENT OBJECT in order to be locked down:
  273:             document.ggbApplet_$id.evalCommand("y=a*($function)");
  274: ENDPLOTSCRIPT
  275:    } else {
  276:        return "document.ggbApplet_$id.evalCommand('y=$function')";
  277:    }
  278: }
  279: 
  280: #
  281: # Subroutine that generates code for spline $label based on stored information
  282: #
  283: 
  284: sub generate_spline {
  285:    my ($id,$label)=@_;
  286:    my $result='';
  287:    my $order=$Apache::functionplotresponse::splineorder{$label};
  288:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  289:    my $y=$Apache::functionplotresponse::splineinity{$label};
  290:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  291:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  292:    my @coords=();
  293:    foreach my $i (1..$order) {
  294:        $result.=&new_coordinate($id,$label.'P'.$i,$x,$y);
  295:        $x+=$sx/(2.*($order-1));
  296:        push(@coords,$label.'P'.$i);
  297:        $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy);
  298:        $x+=$sx/(2.*($order-1));
  299:        push(@coords,$label.'S'.$i);
  300:    }
  301:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  302:    return $result;
  303: }
  304: #
  305: # <backgroundplot function="..." fixed="yes/no" />
  306: #
  307: sub start_backgroundplot {
  308:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  309:    my $result='';
  310:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  311:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  312:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  313:  
  314:    unless ($function) { $function="0"; }
  315:    if ($target eq 'web') {
  316:       $result.=&plot_script($internalid,$function,$fixed);
  317:    } elsif ($target eq 'edit') {
  318:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  319:              &Apache::edit::text_arg('Function:','function',
  320:                                      $token,'16').
  321:              &Apache::edit::select_arg('Fixed location:','fixed',
  322:                                   ['yes','no'],$token).
  323:              &Apache::edit::end_row();
  324:   } elsif ($target eq 'modified') {
  325:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  326:                                                  $safeeval,'function','fixed');
  327:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  328:   }
  329:   return $result;
  330: }
  331: 
  332: sub end_backgroundplot {
  333:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  334:    my $result='';
  335:    if ($target eq 'edit') {
  336:        $result=&Apache::edit::end_table();
  337:    }
  338:    return $result;
  339: }
  340: 
  341: #
  342: # <functionplotrule ... />
  343: #
  344: sub start_functionplotrule {
  345:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  346:    my $result='';
  347:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  348:    $Apache::functionplotresponse::counter++;
  349:    if ($label=~/\W/) {
  350:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  351:    }
  352:    $label=~s/\W//gs;
  353:    unless ($label) {
  354:       $label='R'.$Apache::functionplotresponse::counter;
  355:    } else {
  356:       $label='R'.$label;
  357:    }
  358:    if ($Apache::functionplotresponse::splineorder{$label}) {
  359:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
  360:    }
  361: 
  362: 
  363:    if ($target eq 'grade') {
  364: # Simply remember - in order - for later
  365:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  366:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  367:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  368:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  369:       }
  370:       $beginninglabel=~s/\W//gs;
  371:       $endinglabel=~s/\W//gs;
  372:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  373:       $relationship=~s/\W//gs;
  374:       $relationship=lc($relationship);
  375:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  376:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  377:           $relationship='eq';
  378:       }
  379:       my $derivative=&Apache::lonxml::get_param('derivative',$parstack,$safeeval);
  380:       unless (($derivative==0) || ($derivative==1) || ($derivative==2)) {
  381:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  382:          $derivative=0;
  383:       }
  384:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  385:            $label,
  386:            $derivative,
  387:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  388:            $beginninglabel,
  389:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  390:            $endinglabel,
  391:            $relationship,
  392:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  393:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  394:           )));
  395:    } elsif ($target eq 'edit') {
  396:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
  397:              &Apache::edit::text_arg('Index:','index',
  398:                                      $token,'4').'&nbsp;'.
  399:              &Apache::edit::select_arg(&mt('Function:'),'derivative',
  400:                                   [['0','Function itself'],
  401:                                    ['1','First derivative'],
  402:                                    ['2','Second derivative']],$token).'<br />'.
  403: 
  404:              &Apache::edit::text_arg('(Initial) x-value:','xinitial',
  405:                                       $token,'4').
  406:              &Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel',
  407:                                                [['start','Start of Plot']],$token,'8').'<br />'.
  408: 
  409:              &Apache::edit::text_arg('Optional final x-value for ranges:','xfinal',
  410:                                       $token,'4').
  411:              &Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel',
  412:                                                [['end','End of Plot']],$token,'8').'<br />'.
  413: 
  414:              &Apache::edit::select_arg(&mt('Relationship:'),'relationship',
  415:                                   [['eq','equal'],
  416:                                    ['ne','not equal'],
  417:                                    ['ge','greater than or equal'],
  418:                                    ['gt','greater than'],
  419:                                    ['lt','less than'],
  420:                                    ['le','less than or equal']],$token).
  421:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  422:                                                [['undef','not defined']],$token,'4').
  423:              &Apache::edit::text_arg('Percent error:','percenterror',
  424:                                      $token,'4').
  425:              &Apache::edit::end_row();
  426:   } elsif ($target eq 'modified') {
  427:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  428:                                                  $safeeval,'index','derivative','xinitial','xinitiallabel','xfinal','xfinallabel','relationship',
  429:                                                            'value','percenterror');
  430:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  431:    }
  432:    return $result;
  433: }
  434: 
  435: sub end_functionplotrule {
  436:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  437:    my $result='';
  438:    if ($target eq 'edit') {
  439:        $result=&Apache::edit::end_table();
  440:    }
  441:    return $result;
  442: }
  443: 
  444: 
  445: #
  446: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  447: #
  448: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  449: #
  450: sub start_spline {
  451:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  452:    my $result='';
  453:    if ($target eq 'web') {
  454:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  455:       $Apache::functionplotresponse::counter++;
  456:       if ($label=~/\W/) {
  457:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  458:       }
  459:       $label=~s/\W//gs;
  460:       unless ($label) { 
  461:          $label='S'.$Apache::functionplotresponse::counter; 
  462:       } else {
  463:          $label='S'.$label;
  464:       }
  465:       if ($Apache::functionplotresponse::splineorder{$label}) {
  466:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  467:       }
  468: 
  469:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
  470:       if ($order<2) { $order=2; }
  471:       if ($order>8) { $order=8; }
  472:       $Apache::functionplotresponse::splineorder{$label}=$order;
  473: 
  474:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
  475:       unless ($x) { $x=0; }
  476:       $Apache::functionplotresponse::splineinitx{$label}=$x;
  477: 
  478:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
  479:       unless ($y) { $y=0; }
  480:       $Apache::functionplotresponse::splineinity{$label}=$y;
  481: 
  482:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
  483:       unless ($sx) { $sx=$order; }
  484:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
  485: 
  486:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
  487:       unless ($sy) { $sy=2; }
  488:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
  489:    } elsif ($target eq 'edit') {
  490:         $result=&Apache::edit::tag_start($target,$token,'Spline').
  491:              &Apache::edit::text_arg('Index:','index',
  492:                                      $token,'4').'&nbsp;'.
  493:              &Apache::edit::select_arg('Order:','order',
  494:                                   ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
  495:              &Apache::edit::text_arg('Initial x-value:','initx',
  496:                                      $token,'4').'&nbsp;'.
  497:              &Apache::edit::text_arg('Initial y-value:','inity',
  498:                                      $token,'4').'&nbsp;'.
  499:              &Apache::edit::text_arg('Scale x:','scalex',
  500:                                      $token,'4').'&nbsp;'.
  501:              &Apache::edit::text_arg('Scale y:','scaley',
  502:                                      $token,'4').
  503:              &Apache::edit::end_row();
  504:   } elsif ($target eq 'modified') {
  505:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  506:                                                  $safeeval,'index','order','initx','inity',
  507:                                                            'scalex','scaley');
  508:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  509:   }
  510:   return $result;
  511: }
  512: 
  513: sub end_spline {
  514:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  515:    my $result='';
  516:    if ($target eq 'edit') {
  517:        $result=&Apache::edit::end_table();
  518:    }
  519:    return $result;
  520: }
  521:  
  522: sub end_init_script {
  523:     return (<<ENDENDINIT);
  524: }
  525: // ]]>
  526: </script>
  527: ENDENDINIT
  528: }
  529: 
  530: #
  531: # Storing and restoring spline coordinates from part answers
  532: #
  533: sub decode_previous_answer {
  534:    my ($answer)=@_;
  535:    foreach my $coordinate (split(/\,/,$answer)) {
  536:       my ($key,$value)=split(/\=/,$coordinate);
  537:       $Apache::functionplotresponse::previous{$key}=$value;
  538:    }
  539: }
  540: 
  541: sub get_answer_from_form_fields {
  542:    my ($id)=@_;
  543:    my $answer='';
  544:    my %coords=();
  545:    foreach my $field (keys(%env)) {
  546:       if ($field=~/^form\.HWVAL\_$id/) {
  547:          $field=~/^form\.(.*)$/;
  548:          $coords{$1}=$env{$field};
  549:       }
  550:    }
  551:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
  552:    return ($answer,%coords);
  553: }
  554: 
  555: #
  556: # The following functions calculate the cubic-hermite splines server-side
  557: #
  558: 
  559: sub cubic_hermite {
  560:    my ($t,$p1,$s1,$p2,$s2)=@_;
  561:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
  562:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 5.*($t*$t*$t-$t*$t)      *($s2-$p2);
  563: }
  564: 
  565: #
  566: # d/dt(...)
  567: # 
  568: 
  569: sub ddt_cubic_hermite {
  570:    my ($t,$p1,$s1,$p2,$s2)=@_;
  571:    return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
  572:           (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t)   *($s2-$p2);
  573: }
  574: 
  575: #
  576: # d^2/dt^2(...)
  577: #
  578: 
  579: sub d2dt2_cubic_hermite {
  580:    my ($t,$p1,$s1,$p2,$s2)=@_;
  581:    return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
  582:           (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
  583: }
  584: 
  585: #
  586: # Array index calculation
  587: #
  588: sub array_index {
  589:    my ($xmin,$xmax,$x)=@_;
  590:    return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
  591: }
  592: 
  593: #
  594: # Populate the arrays
  595: #
  596: 
  597: sub populate_arrays {
  598:     my ($id,$xmin,$xmax)=@_;
  599:     for (my $i=0; $i<=400; $i++) {
  600:        $Apache::functionplotresponse::func[$i]=undef;
  601:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
  602:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
  603:     }
  604:     unless ($xmax>$xmin) { return 'no_func'; }
  605: # Run over all splines in response
  606:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
  607:         my $xiold=-1;
  608: # Run over all points in spline
  609:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
  610:             my $ni=$i+1;
  611:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
  612:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
  613:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
  614:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
  615:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
  616:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
  617:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
  618:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
  619: # Run in small steps over spline parameter
  620:             for (my $t=0; $t<=1; $t+=0.0001) {
  621:                 my $xi=&array_index($xmin,$xmax,&cubic_hermite($t,@xparms));
  622:                 if ($xi<$xiold) { return 'no_func'; }
  623:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
  624:                    if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
  625:                    $xiold=$xi;
  626: # Function value
  627:                    my $funcval=&cubic_hermite($t,@yparms);
  628:                    $Apache::functionplotresponse::func[$xi]=$funcval;
  629:                    if (defined($funcval)) {
  630:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
  631:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
  632:                       }
  633:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
  634:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
  635:                       }
  636:                    }
  637: # Chain rule
  638: # dy/dx=dy/dt/(dx/dt)
  639:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
  640:                    if ($dxdt) {
  641:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
  642:                    }
  643: # Faa di Bruno
  644: # d^2y/dx^2=(d^2y/dt^2)/(dx/dt)^2+(dy/dt)/(d^2x/dt^2)
  645:                    my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms);
  646:                    if (($dxdt) && ($d2xdt2)) {
  647:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
  648:                          &d2dt2_cubic_hermite($t,@yparms)/($dxdt*$dxdt)
  649:                         +&ddt_cubic_hermite($t,@yparms)/$d2xdt2;
  650:                    }
  651:                 }
  652:             }
  653:         }
  654:     }
  655: }
  656: 
  657: #
  658: # Implentation of <functionplotresponse>
  659: #
  660: 
  661: sub start_functionplotresponse {
  662:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  663:   my $result='';
  664: # To remember the splines - somehow, they need to come last
  665:   undef %Apache::functionplotresponse::splineorder;
  666:   undef %Apache::functionplotresponse::splineinitx;
  667:   undef %Apache::functionplotresponse::splineinity;
  668:   undef %Apache::functionplotresponse::splinescalex;
  669:   undef %Apache::functionplotresponse::splinescaley;
  670: # Remember input fields, etc
  671:   undef %Apache::functionplotresponse::previous;
  672:   $Apache::functionplotresponse::inputfields='';
  673:   $Apache::functionplotresponse::counter=0;
  674: # Remember rules
  675:   undef @Apache::functionplotresponse::functionplotrules;
  676: # Part and ID
  677:   my $partid=$Apache::inputtags::part;
  678:   my $id=&Apache::response::start_response($parstack,$safeeval);
  679: # Internal ID to mark the applet and its coordinates
  680:   my $internalid = $partid.'_'.$id;
  681: # Previous answer
  682:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
  683: 
  684: # Parameters of <functionplotresponse>
  685:   my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
  686:   $xmin=(defined($xmin)?$xmin:-10);
  687:   my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
  688:   $xmax=(defined($xmax)?$xmax:10);
  689:   my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
  690:   $ymin=(defined($ymin)?$ymin:-10);
  691:   my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
  692:   $ymax=(defined($ymax)?$ymax:10);
  693:   if ($xmax<=$xmin) {
  694:      &Apache::lonxml::warning('Maximum x-value needs to be larger than minimum value.');
  695:      $xmax=$xmin+20;
  696:   }
  697:   if ($ymax<=$ymin) {
  698:      &Apache::lonxml::warning('Maximum y-value needs to be larger than minimum value.');
  699:      $ymax=$ymin+20;
  700:   }
  701:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  702:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  703:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  704:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
  705:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
  706:   if ($target eq 'edit') {
  707:     $result.=&Apache::edit::start_table($token)
  708:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
  709:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
  710:        .&Apache::edit::deletelist($target,$token)
  711:        .'</span></td>'
  712:        ."<td>&nbsp;"
  713:        .&Apache::edit::end_row()
  714:        .&Apache::edit::start_spanning_row()
  715:        ."\n";
  716:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
  717:                                      $token,'6').'&nbsp;'.
  718:              &Apache::edit::text_arg('Minimum x-value:','xmin',
  719:                                      $token,'4').'&nbsp;'.
  720:              &Apache::edit::text_arg('Maximum x-value:','xmax',
  721:                                      $token,'4').'&nbsp;'.
  722:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
  723:                                   ['yes','no'],$token).'<br />'.
  724:              &Apache::edit::text_arg('Label y-axis:','ylabel',
  725:                                      $token,'6').'&nbsp;'.
  726:              &Apache::edit::text_arg('Minimum y-value:','ymin',
  727:                                      $token,'4').'&nbsp;'.
  728:              &Apache::edit::text_arg('Maximum y-value:','ymax',
  729:                                      $token,'4').'&nbsp;'.
  730:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
  731:                                   ['yes','no'],$token).'<br />'.
  732:              &Apache::edit::select_arg('Grid visible:','gridvisible',
  733:                                   ['yes','no'],$token).
  734:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
  735:   } elsif ($target eq 'modified') {
  736:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  737:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
  738:                                                            'xaxisvisible','yaxisvisible','gridvisible');
  739:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
  740: 
  741:   } elsif ($target eq 'meta') {
  742:        $result=&Apache::response::meta_package_write('functionplotresponse');
  743:   } elsif ($target eq 'web') {
  744: # paste in the update routine to receive stuff back from the applet
  745:      $result.=&update_script($internalid);
  746: # start the initscript for this applet
  747:      $result.=&start_init_script($internalid);
  748: # put the axis commands inside
  749:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
  750:      $result.=&axes_label($internalid,$xlabel,$ylabel);
  751: # init script is left open
  752:   }
  753:   return $result;
  754: }
  755: 
  756: sub compare_rel {
  757:    my ($relationship,$value,$realval,$tol)=@_;
  758: # is the real value defined?
  759:    unless (defined($realval)) {
  760:       if ($relationship eq 'eq') {
  761:          if ($value eq 'undef') {
  762:             return 1;
  763:          } else {
  764:             return 0;
  765:          }
  766:       } elsif ($relationship eq 'ne') {
  767:          if ($value eq 'undef') {
  768:             return 0;
  769:          } else {
  770:             return 1;
  771:          }
  772:       } else {
  773:          return 0;
  774:       }
  775:    }
  776: 
  777: # it is defined.
  778:    if ($relationship eq 'gt') {
  779:       return ($realval>$value);
  780:    } elsif ($relationship eq 'ge') {
  781:       return ($realval>$value-$tol);
  782:    } elsif ($relationship eq 'lt') {
  783:       return ($realval<$value);
  784:    } elsif ($relationship eq 'le') {
  785:       return ($realval<$value+$tol);
  786:    } elsif ($relationship eq 'ne') {
  787:       return (abs($value-$realval)>$tol);
  788:    } else {
  789:       return (abs($value-$realval)<$tol);
  790:    }
  791:    return 0;
  792: }
  793: 
  794: sub functionplotrulecheck {
  795:    my ($rule,$xmin,$xmax,$ymin,$ymax)=@_;
  796: 
  797: #   &Apache::lonnet::logthis("Rule $rule $xmin $xmax $ymin $ymax");
  798: 
  799:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$relationship,$value,$percent)
  800:       =split(/\:/,$rule);
  801:    $percent=($percent>0?$percent:5);
  802: 
  803:    my $li=0;
  804:    my $lh=400;
  805: 
  806: # Special case: the upper boundary was not defined
  807: # and needs to be set to the value where
  808: # the condition is not true anymore => set flag
  809: 
  810:    my $findupper=0;
  811:    if (($xfinal eq '')
  812:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
  813:     && ($xfinallabel)) {
  814:        $findupper=1;
  815:    }
  816: 
  817: # if a hard value is set for the boundaries, it overrides the label
  818:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
  819:       $li=&array_index($xmin,$xmax,$xinitial);
  820:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
  821:    }
  822:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
  823:       $lh=&array_index($xmin,$xmax,$xfinal);
  824:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
  825:    }
  826: # if the label is defined, use it
  827:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
  828:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
  829:    } else {
  830:       $li=&array_index($xmin,$xmax,$xinitial);
  831:    }
  832:    unless ($findupper) {
  833:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
  834:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
  835:       } else {
  836:          $lh=&array_index($xmin,$xmax,$xfinal);
  837:       }
  838:    }
  839: # Basic sanity checks
  840:    if ($li<0) { $li=0; }
  841:    if ($lh>400) { $lh=400; }
  842:    if ($li>$lh) {
  843:        $lh=$li;
  844:    }
  845: 
  846: #   &Apache::lonnet::logthis("Init $xinitial=$li Final $xfinal=$lh Findupper: $findupper");
  847:    my $tol=$percent*($ymax-$ymin)/100;
  848:    if ($xmax>$xmin) {
  849:       if ($derivative==2) {
  850:          $tol=4.*$tol/($xmax-$xmin);
  851:       } elsif ($derivative==1) {
  852:          $tol=2.*$tol/($xmax-$xmin);
  853:       }
  854:    }
  855:    for (my $i=$li; $i<=$lh; $i++) {
  856:         my $val;
  857:         if ($derivative==2) {
  858:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
  859:         } elsif ($derivative==1) {
  860:            $val=$Apache::functionplotresponse::dfuncdx[$i];
  861:         } else {
  862:            $val=$Apache::functionplotresponse::func[$i];
  863:         }
  864:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
  865: #           &Apache::lonnet::logthis("Condition false $findupper at $i with $val tol:$tol from $value");
  866:            if (($findupper) && ($i>$li)) {
  867:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
  868: #              &Apache::lonnet::logthis("Setting $xfinallabel to $i");
  869:               return 1;
  870:            } else {
  871:               return 0; 
  872:            }
  873:         }
  874:    }
  875:    return 1;
  876: }
  877: 
  878: sub end_functionplotresponse {
  879:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  880:   &Apache::response::end_response;
  881: 
  882:   my $result;
  883:   my $id=$Apache::inputtags::response[-1];
  884:   my $partid=$Apache::inputtags::part;
  885:   my $internalid = $partid.'_'.$id;
  886: 
  887:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
  888:     if ($target eq 'grade'
  889:          && &Apache::response::submitted()
  890:          && $Apache::lonhomework::type eq 'exam') {
  891: 
  892:         &Apache::response::scored_response($partid,$id);
  893: 
  894:     } elsif ($target eq 'grade'
  895:          && &Apache::response::submitted()
  896:          && $Apache::lonhomework::type ne 'exam') {
  897:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
  898:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
  899:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
  900: #
  901: # Actually grade
  902: #
  903:         my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
  904:         $xmin=(defined($xmin)?$xmin:-10);
  905:         my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
  906:         $xmax=(defined($xmax)?$xmax:10);
  907:         my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
  908:         $ymin=(defined($ymin)?$ymin:-10);
  909:         my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
  910:         $ymax=(defined($ymax)?$ymax:10);
  911: 
  912:         my $ad='';
  913:         undef  %Apache::functionplotresponse::functionplotrulelabels;
  914:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
  915:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
  916:         if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
  917:            $ad='NOT_FUNCTION';
  918:         } else {
  919: # We have a function that we can actually grade, go through the spline rules.
  920:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
  921:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) {
  922:                  $ad='INCORRECT';
  923:                  last;
  924:               }
  925:            }
  926: # If it's not wrong, it's correct 
  927:            unless ($ad) { $ad='EXACT_ANS' };
  928:         }
  929: 
  930: #
  931: # Store grading info
  932: #
  933:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
  934:         &Apache::response::handle_previous(\%previous,$ad);
  935:    } elsif ($target eq 'web') {
  936: # Now is the time to render all of the stored splines
  937:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
  938:         $result.=&generate_spline($internalid,$label);
  939:      }
  940: # close the init script
  941:      $result.=&end_init_script();
  942: # register all splines in this response 
  943:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
  944:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
  945:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
  946:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
  947:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
  948:      }
  949: # generate the input fields
  950:      $result.=$Apache::functionplotresponse::inputfields;
  951: # actually start the <applet>-tag
  952:      $result.=&geogebra_startcode($internalid);
  953: # load the spline bytecode
  954:      $result.=&geogebra_spline_program();
  955: # set default parameters
  956:      $result.=&geogebra_default_parameters($internalid);
  957: # close the <applet>-tag
  958:      $result.=&geogebra_endcode();
  959:   }
  960:   return $result;
  961: }
  962: 
  963: 1;
  964: 
  965: __END__
  966:  
  967: =head1 NAME
  968: 
  969: Apache::functionplotresponse.pm;
  970: 
  971: =head1 SYNOPSIS
  972: 
  973: Handles tags associated with accepting function plots.
  974: 
  975: This is part of the LearningOnline Network with CAPA project
  976: described at http://www.lon-capa.org.
  977: 
  978: =head1 HANDLER SUBROUTINE
  979: 
  980: start_functionplotresponse()
  981: 
  982: =head1 OTHER SUBROUTINES
  983: 
  984: =over
  985: 
  986: =item end_functionplotresponse()
  987: 
  988: =back
  989: 
  990: =cut

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