File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.37: download - view: text, annotated - select for diffs
Sat Nov 13 03:22:58 2010 UTC (13 years, 6 months ago) by www
Branches: MAIN
CVS tags: HEAD
Functionplotresponse hints working

    1: # LearningOnline Network with CAPA
    2: # option list style responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.37 2010/11/13 03:22:58 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',
   37:                                                             'functionplotrule','functionplotruleset',
   38:                                                             'functionplotelements'));
   39: }
   40: 
   41: #
   42: # There can be a number of applets on a page, each called ggbApplet_$id, 
   43: # where $id is the "_"-concatenated part and responseid
   44: #
   45: 
   46: sub geogebra_startcode {
   47:     my ($id)=@_;
   48:     return (<<ENDSTARTCODE);
   49: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   50:          codebase="/adm/geogebra/"  width="714" height="447" MAYSCRIPT>
   51:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   52: ENDSTARTCODE
   53: }
   54: 
   55: sub geogebra_endcode {
   56:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   57: }
   58: 
   59: #
   60: # This is the internal GeoGebra bytecode which defines the spline functions
   61: #
   62: sub geogebra_spline_program {
   63:     return (<<ENDSPLINEPROGRAM);
   64: <param name="ggbBase64" value="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"/>
   65: ENDSPLINEPROGRAM
   66: }
   67: 
   68: #
   69: # The standard set of parameters inside <applet>
   70: #
   71: sub geogebra_default_parameters {
   72:    my ($id)=@_;
   73:    return(<<ENDDEFAULTPARAMETERS);
   74:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   75:         <param name="boxborder" value="false"  />
   76:         <param name="centerimage" value="true"  />
   77:         <param name="java_arguments" value="-Xmx512m" />
   78:         <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_properties.jar" />
   79:         <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" />
   80:         <param name="framePossible" value="false" />
   81: 
   82:         <param name="showResetIcon" value="false" />
   83:         <param name="showAnimationButton" value="false" />
   84:         <param name="enableRightClick" value="false" />
   85:         <param name="errorDialogsActive" value="true" />
   86:         <param name="enableLabelDrags" value="false" />
   87:         <param name="showMenuBar" value="false" />
   88:         <param name="showToolBar" value="false" />
   89:         <param name="showToolBarHelp" value="false" />
   90:         <param name="showAlgebraInput" value="false" />
   91:         <param name="enableShiftDragZoom" value="false" />
   92:         <param name="allowRescaling" value="false" />
   93:         <param name="enableLabelDrags" value="false" />
   94:         <param name="ggbOnInitParam" value="applet_$id" />
   95: ENDDEFAULTPARAMETERS
   96: }
   97: 
   98: #
   99: # This subroutine is called by LON-CAPA at </problem>
  100: # Each applet on the page will call function ggbOnInit when it is done loading
  101: # This function in turn will call the respective function registered by start_init_script
  102: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  103: #
  104: 
  105: sub init_script {
  106:    if ($#Apache::functionplotresponse::callscripts>=0) {
  107:       my $script='';
  108:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  109:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  110:       }
  111:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  112:                ") { setTimeout('ggbInitAll()',20) }";
  113:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  114:       return (<<ENDGGBINIT);
  115: <script type="text/javascript">
  116: // <![CDATA[
  117: // Function that each applet will call when loaded
  118: // It will pass "its" parameter
  119: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  120: function ggbOnInit(param) {
  121: $script
  122: }
  123: function ggbInitAll() {
  124: $calls
  125: }
  126: // ]]>
  127: </script>
  128: ENDGGBINIT
  129:    }
  130: }
  131: 
  132: #
  133: # Each Geogebra applet is supposed to call this when parameters change
  134: # Changes the hidden fields on the web page
  135: #
  136: sub update_script {
  137:     my ($id)=@_;
  138:     return (<<ENDUPDATESCRIPT);
  139: <script type="text/javascript">
  140: // <![CDATA[
  141: function updatePointCoordinates_$id(coordinateName) {
  142:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  143:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  144:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  145:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  146:         }
  147: // ]]>
  148: </script>
  149: ENDUPDATESCRIPT
  150: }
  151: 
  152: #
  153: # Register the above update-handler for a variable
  154: #
  155: 
  156: sub update_register {
  157:    my ($id,$variable)=@_;
  158:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  159: }
  160: 
  161: #
  162: # Set a coordinate variable
  163: #
  164: sub set_coordinate {
  165:    my ($id,$variable,$x,$y)=@_;
  166:    return (<<ENDSETVARIABLE);
  167: document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
  168: ENDSETVARIABLE
  169: }
  170: 
  171: #
  172: # Input field name for a coordinate variable
  173: #
  174: 
  175: sub field_name {
  176:     my ($id,$variable,$name)=@_;
  177:     return "HWVAL_$id\_$variable\_$name";
  178: }
  179: 
  180: #
  181: # Generate an input field for a coordinate variable
  182: #
  183: 
  184: sub generate_input_field {
  185:     my ($id,$variable,$x,$y)=@_;
  186:     $Apache::functionplotresponse::inputfields.=
  187:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  188:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  189: }
  190: 
  191: #
  192: # Initialize a new coordinate variable at set a listener on it
  193: #
  194: sub new_coordinate {
  195:     my ($id,$variable,$x,$y)=@_;
  196:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  197:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  198:     }
  199:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  200:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  201:     }
  202:     &generate_input_field($id,$variable,$x,$y);
  203:     return &set_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
  204: }
  205: 
  206: #
  207: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  208: # It then starts the right headers
  209: #
  210: sub start_init_script {
  211:     my ($id)=@_;
  212: # Add id to the list of ggbInit_$id functions that need to be called
  213:     push(@Apache::functionplotresponse::callscripts,$id);
  214: # ... and open this function
  215:     return (<<ENDSTARTINIT);
  216: <script type="text/javascript">
  217: // <![CDATA[
  218: // variable that will eventually be passed back to the server
  219: var coordinateMap_$id = [];
  220: // flag for not loaded yet
  221: var loaded_$id=false;
  222: // Init-function for applet
  223: function ggbInit_$id() {
  224: ENDSTARTINIT
  225: }
  226: 
  227: #
  228: # This sets the axes inside ggbInit_$id
  229: #
  230: 
  231: sub axes_script {
  232:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  233:     return (<<ENDAXESSCRIPT);
  234:             // changes (xmin, xmax, ymin, ymax)
  235:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  236: 
  237:             // makes the (x,y) axis (in)visible
  238:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  239:             // makes the grid (in)visible
  240:             document.ggbApplet_$id.setGridVisible($gvisible);
  241: ENDAXESSCRIPT
  242: }
  243: 
  244: sub axes_label {
  245:     my ($id,$xlabel,$ylabel)=@_;
  246:     unless ($xlabel || $ylabel) { return ''; }
  247:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  248:     if ($xlabel) {
  249:        $return.=(<<ENDXAXISLABELSCRIPT);
  250: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  251: document.ggbApplet_$id.setVisible("Xlabel",false);
  252: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  253: ENDXAXISLABELSCRIPT
  254:     }
  255:     if ($ylabel) {
  256:        $return.=(<<ENDYAXISLABELSCRIPT);
  257: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  258: document.ggbApplet_$id.setVisible("Ylabel",false);
  259: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  260: ENDYAXISLABELSCRIPT
  261:     }
  262:     return $return;
  263: }
  264: 
  265: sub plot_script {
  266:    my ($id,$function,$fixed)=@_;
  267:    if ($fixed) {
  268: # Use stupid trick to nail this to a location
  269: # Oddly, it seems like only one plot cannot be nailed to a location
  270: # Non-nailed-down plots apparently get overwritten
  271:       return (<<ENDPLOTSCRIPT);
  272:             document.ggbApplet_$id.evalCommand("a=1");
  273:             document.ggbApplet_$id.setVisible("a",false);
  274:             // This MUST be a DEPENDENT OBJECT in order to be locked down:
  275:             document.ggbApplet_$id.evalCommand("y=a*($function)");
  276: ENDPLOTSCRIPT
  277:    } else {
  278:        return "document.ggbApplet_$id.evalCommand('y=$function')";
  279:    }
  280: }
  281: 
  282: #
  283: # Subroutine that generates code for spline $label based on stored information
  284: #
  285: 
  286: sub generate_spline {
  287:    my ($id,$label)=@_;
  288:    my $result='';
  289:    my $order=$Apache::functionplotresponse::splineorder{$label};
  290:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  291:    my $y=$Apache::functionplotresponse::splineinity{$label};
  292:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  293:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  294:    my @coords=();
  295:    foreach my $i (1..$order) {
  296:        $result.=&new_coordinate($id,$label.'P'.$i,$x,$y);
  297:        $x+=$sx/(2.*($order-1));
  298:        push(@coords,$label.'P'.$i);
  299:        $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy);
  300:        $x+=$sx/(2.*($order-1));
  301:        push(@coords,$label.'S'.$i);
  302:    }
  303:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  304:    return $result;
  305: }
  306: #
  307: # <backgroundplot function="..." fixed="yes/no" />
  308: #
  309: sub start_backgroundplot {
  310:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  311:    my $result='';
  312:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  313:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  314:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  315:  
  316:    unless ($function) { $function="0"; }
  317:    if ($target eq 'web') {
  318:       $result.=&plot_script($internalid,$function,$fixed);
  319:    } elsif ($target eq 'edit') {
  320:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  321:              &Apache::edit::text_arg('Function:','function',
  322:                                      $token,'16').
  323:              &Apache::edit::select_arg('Fixed location:','fixed',
  324:                                   ['yes','no'],$token).
  325:              &Apache::edit::end_row();
  326:   } elsif ($target eq 'modified') {
  327:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  328:                                                  $safeeval,'function','fixed');
  329:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  330:   }
  331:   return $result;
  332: }
  333: 
  334: sub end_backgroundplot {
  335:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  336:    my $result='';
  337:    if ($target eq 'edit') {
  338:        $result=&Apache::edit::end_table();
  339:    }
  340:    return $result;
  341: }
  342: 
  343: #
  344: # <functionplotrule ... />
  345: #
  346: sub start_functionplotrule {
  347:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  348:    my $result='';
  349:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  350:    $Apache::functionplotresponse::counter++;
  351:    if ($label=~/\W/) {
  352:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  353:    }
  354:    $label=~s/\W//gs;
  355:    unless ($label) {
  356:       $label='R'.$Apache::functionplotresponse::counter;
  357:    } else {
  358:       $label='R'.$label;
  359:    }
  360:    if ($Apache::functionplotresponse::splineorder{$label}) {
  361:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
  362:    }
  363: 
  364: 
  365:    if ($target eq 'grade') {
  366: # Simply remember - in order - for later
  367:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  368:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  369:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  370:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  371:       }
  372:       $beginninglabel=~s/\W//gs;
  373:       $endinglabel=~s/\W//gs;
  374:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  375:       $relationship=~s/\W//gs;
  376:       $relationship=lc($relationship);
  377:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  378:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  379:           $relationship='eq';
  380:       }
  381:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  382:       unless (($derivative==0) || ($derivative==1) || ($derivative==2)) {
  383:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  384:          $derivative=0;
  385:       }
  386:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  387:            $label,
  388:            $derivative,
  389:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  390:            $beginninglabel,
  391:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  392:            $endinglabel,
  393:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  394:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  395:            $relationship,
  396:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  397:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  398:           )));
  399:    } elsif ($target eq 'edit') {
  400:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
  401:              &Apache::edit::text_arg('Index/Name:','index',
  402:                                      $token,'10').'&nbsp;'.
  403:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  404:                                   [['0','Function itself'],
  405:                                    ['1','First derivative'],
  406:                                    ['2','Second derivative']],$token).'<br />'.
  407:              &Apache::edit::text_arg('(Initial) x-value:','xinitial',
  408:                                       $token,'8').
  409:              &Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel',
  410:                                                [['start','Start of Plot']],$token,'8').'<br />'.
  411: 
  412:              &Apache::edit::text_arg('Optional final x-value for ranges:','xfinal',
  413:                                       $token,'8').
  414:              &Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel',
  415:                                                [['end','End of Plot']],$token,'8').'<br />'.
  416:              &Apache::edit::text_arg('Optional minimum length for range:','minimumlength',
  417:                                      $token,'8').
  418:              &Apache::edit::text_arg('Optional maximum length for range:','maximumlength',
  419:                                      $token,'8').'<br />'.
  420:              &Apache::edit::select_arg(&mt('Relationship:'),'relationship',
  421:                                   [['eq','equal'],
  422:                                    ['ne','not equal'],
  423:                                    ['ge','greater than or equal'],
  424:                                    ['gt','greater than'],
  425:                                    ['lt','less than'],
  426:                                    ['le','less than or equal']],$token).
  427:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  428:                                                [['undef','not defined']],$token,'8').
  429:              &Apache::edit::text_arg('Percent error:','percenterror',
  430:                                      $token,'8').
  431:              &Apache::edit::end_row();
  432:   } elsif ($target eq 'modified') {
  433:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  434:                                                  $safeeval,'index','derivativeorder',
  435:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  436:                                                            'minimumlength','maximumlength',
  437:                                                            'relationship','value','percenterror');
  438:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  439:    }
  440:    return $result;
  441: }
  442: 
  443: sub end_functionplotrule {
  444:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  445:    my $result='';
  446:    if ($target eq 'edit') {
  447:        $result=&Apache::edit::end_table();
  448:    }
  449:    return $result;
  450: }
  451: 
  452: 
  453: #
  454: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  455: #
  456: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  457: #
  458: sub start_spline {
  459:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  460:    my $result='';
  461:    if ($target eq 'web') {
  462:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  463:       $Apache::functionplotresponse::counter++;
  464:       if ($label=~/\W/) {
  465:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  466:       }
  467:       $label=~s/\W//gs;
  468:       unless ($label) { 
  469:          $label='S'.$Apache::functionplotresponse::counter; 
  470:       } else {
  471:          $label='S'.$label;
  472:       }
  473:       if ($Apache::functionplotresponse::splineorder{$label}) {
  474:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  475:       }
  476: 
  477:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
  478:       if ($order<2) { $order=2; }
  479:       if ($order>8) { $order=8; }
  480:       $Apache::functionplotresponse::splineorder{$label}=$order;
  481: 
  482:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
  483:       unless ($x) { $x=0; }
  484:       $Apache::functionplotresponse::splineinitx{$label}=$x;
  485: 
  486:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
  487:       unless ($y) { $y=0; }
  488:       $Apache::functionplotresponse::splineinity{$label}=$y;
  489: 
  490:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
  491:       unless ($sx) { $sx=$order; }
  492:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
  493: 
  494:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
  495:       unless ($sy) { $sy=2; }
  496:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
  497:    } elsif ($target eq 'edit') {
  498:         $result=&Apache::edit::tag_start($target,$token,'Spline').
  499:              &Apache::edit::text_arg('Index:','index',
  500:                                      $token,'4').'&nbsp;'.
  501:              &Apache::edit::select_arg('Order:','order',
  502:                                   ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
  503:              &Apache::edit::text_arg('Initial x-value:','initx',
  504:                                      $token,'4').'&nbsp;'.
  505:              &Apache::edit::text_arg('Initial y-value:','inity',
  506:                                      $token,'4').'&nbsp;'.
  507:              &Apache::edit::text_arg('Scale x:','scalex',
  508:                                      $token,'4').'&nbsp;'.
  509:              &Apache::edit::text_arg('Scale y:','scaley',
  510:                                      $token,'4').
  511:              &Apache::edit::end_row();
  512:   } elsif ($target eq 'modified') {
  513:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  514:                                                  $safeeval,'index','order','initx','inity',
  515:                                                            'scalex','scaley');
  516:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  517:   }
  518:   return $result;
  519: }
  520: 
  521: sub end_spline {
  522:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  523:    my $result='';
  524:    if ($target eq 'edit') {
  525:        $result=&Apache::edit::end_table();
  526:    }
  527:    return $result;
  528: }
  529:  
  530: sub end_init_script {
  531:     return (<<ENDENDINIT);
  532: }
  533: // ]]>
  534: </script>
  535: ENDENDINIT
  536: }
  537: 
  538: #
  539: # Storing and restoring spline coordinates from part answers
  540: #
  541: sub decode_previous_answer {
  542:    my ($answer)=@_;
  543:    foreach my $coordinate (split(/\,/,$answer)) {
  544:       my ($key,$value)=split(/\=/,$coordinate);
  545:       $Apache::functionplotresponse::previous{$key}=$value;
  546:    }
  547: }
  548: 
  549: sub get_answer_from_form_fields {
  550:    my ($id)=@_;
  551:    my $answer='';
  552:    my %coords=();
  553:    foreach my $field (keys(%env)) {
  554:       if ($field=~/^form\.HWVAL\_$id/) {
  555:          $field=~/^form\.(.*)$/;
  556:          $coords{$1}=$env{$field};
  557:       }
  558:    }
  559:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
  560:    return ($answer,%coords);
  561: }
  562: 
  563: #
  564: # The following functions calculate the cubic-hermite splines server-side
  565: #
  566: 
  567: sub cubic_hermite {
  568:    my ($t,$p1,$s1,$p2,$s2)=@_;
  569:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
  570:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 5.*($t*$t*$t-$t*$t)      *($s2-$p2);
  571: }
  572: 
  573: #
  574: # d/dt(...)
  575: # 
  576: 
  577: sub ddt_cubic_hermite {
  578:    my ($t,$p1,$s1,$p2,$s2)=@_;
  579:    return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
  580:           (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t)   *($s2-$p2);
  581: }
  582: 
  583: #
  584: # d^2/dt^2(...)
  585: #
  586: 
  587: sub d2dt2_cubic_hermite {
  588:    my ($t,$p1,$s1,$p2,$s2)=@_;
  589:    return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
  590:           (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
  591: }
  592: 
  593: #
  594: # Array index calculation
  595: #
  596: sub array_index {
  597:    my ($xmin,$xmax,$x)=@_;
  598:    return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
  599: }
  600: 
  601: #
  602: # Populate the arrays
  603: #
  604: 
  605: sub populate_arrays {
  606:     my ($id,$xmin,$xmax)=@_;
  607:     for (my $i=0; $i<=400; $i++) {
  608:        $Apache::functionplotresponse::actualxval[$i]=undef;
  609:        $Apache::functionplotresponse::func[$i]=undef;
  610:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
  611:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
  612:     }
  613:     unless ($xmax>$xmin) { return 'no_func'; }
  614: # Run over all splines in response
  615:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
  616:         my $xiold=-1;
  617: # Run over all points in spline
  618:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
  619:             my $ni=$i+1;
  620:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
  621:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
  622:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
  623:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
  624:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
  625:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
  626:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
  627:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
  628: # Run in small steps over spline parameter
  629:             for (my $t=0; $t<=1; $t+=0.0001) {
  630:                 my $xreal=&cubic_hermite($t,@xparms);
  631:                 my $xi=&array_index($xmin,$xmax,$xreal);
  632:                 if ($xi<$xiold) { return 'no_func'; }
  633:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
  634:                    if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
  635:                    $xiold=$xi;
  636:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
  637: # Function value
  638:                    my $funcval=&cubic_hermite($t,@yparms);
  639:                    $Apache::functionplotresponse::func[$xi]=$funcval;
  640:                    if (defined($funcval)) {
  641:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
  642:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
  643:                       }
  644:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
  645:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
  646:                       }
  647:                    }
  648: # Chain rule
  649: # dy/dx=dy/dt/(dx/dt)
  650:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
  651:                    if ($dxdt) {
  652:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
  653: # Second derivative
  654:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
  655:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
  656:                          ($dxdt*$dxdt*$dxdt);
  657:                    }
  658:                 }
  659:             }
  660:         }
  661:     }
  662: }
  663: 
  664: #
  665: # Implementation of <functionplotresponse>
  666: #
  667: 
  668: sub start_functionplotresponse {
  669:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  670:   my $result='';
  671: # To remember the splines - somehow, they need to come last
  672:   undef %Apache::functionplotresponse::splineorder;
  673:   undef %Apache::functionplotresponse::splineinitx;
  674:   undef %Apache::functionplotresponse::splineinity;
  675:   undef %Apache::functionplotresponse::splinescalex;
  676:   undef %Apache::functionplotresponse::splinescaley;
  677: # Remember input fields, etc
  678:   undef %Apache::functionplotresponse::previous;
  679:   $Apache::functionplotresponse::inputfields='';
  680:   $Apache::functionplotresponse::counter=0;
  681: # Remember rules
  682:   undef @Apache::functionplotresponse::functionplotrules;
  683: # Remember failed rules
  684:   if ($target eq 'grade') {
  685:      undef @Apache::functionplotresponse::failedrules;
  686:   }
  687: # Delete previous awards
  688:   undef $Apache::functionplotresponse::awarddetail;
  689: # Part and ID
  690:   my $partid=$Apache::inputtags::part;
  691:   my $id=&Apache::response::start_response($parstack,$safeeval);
  692: # Internal ID to mark the applet and its coordinates
  693:   my $internalid = $partid.'_'.$id;
  694: # Previous answer
  695:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
  696: 
  697: # Parameters of <functionplotresponse>
  698:   my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
  699:   $xmin=(defined($xmin)?$xmin:-10);
  700:   my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
  701:   $xmax=(defined($xmax)?$xmax:10);
  702:   my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
  703:   $ymin=(defined($ymin)?$ymin:-10);
  704:   my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
  705:   $ymax=(defined($ymax)?$ymax:10);
  706:   if ($xmax<=$xmin) {
  707:      &Apache::lonxml::warning('Maximum x-value needs to be larger than minimum value.');
  708:      $xmax=$xmin+20;
  709:   }
  710:   if ($ymax<=$ymin) {
  711:      &Apache::lonxml::warning('Maximum y-value needs to be larger than minimum value.');
  712:      $ymax=$ymin+20;
  713:   }
  714:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  715:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  716:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  717:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
  718:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
  719:   if ($target eq 'edit') {
  720:     $result.=&Apache::edit::start_table($token)
  721:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
  722:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
  723:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
  724:        .&Apache::edit::insertlist($target,$token)
  725:        .'</span></td>'
  726:        ."<td>&nbsp;"
  727:        .&Apache::edit::end_row()
  728:        .&Apache::edit::start_spanning_row()
  729:        ."\n";
  730:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
  731:                                      $token,'6').'&nbsp;'.
  732:              &Apache::edit::text_arg('Minimum x-value:','xmin',
  733:                                      $token,'4').'&nbsp;'.
  734:              &Apache::edit::text_arg('Maximum x-value:','xmax',
  735:                                      $token,'4').'&nbsp;'.
  736:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
  737:                                   ['yes','no'],$token).'<br />'.
  738:              &Apache::edit::text_arg('Label y-axis:','ylabel',
  739:                                      $token,'6').'&nbsp;'.
  740:              &Apache::edit::text_arg('Minimum y-value:','ymin',
  741:                                      $token,'4').'&nbsp;'.
  742:              &Apache::edit::text_arg('Maximum y-value:','ymax',
  743:                                      $token,'4').'&nbsp;'.
  744:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
  745:                                   ['yes','no'],$token).'<br />'.
  746:              &Apache::edit::select_arg('Grid visible:','gridvisible',
  747:                                   ['yes','no'],$token).
  748:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
  749:   } elsif ($target eq 'modified') {
  750:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  751:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
  752:                                                            'xaxisvisible','yaxisvisible','gridvisible');
  753:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
  754: 
  755:   } elsif ($target eq 'meta') {
  756:        $result=&Apache::response::meta_package_write('functionplotresponse');
  757:   } elsif (($target eq 'answer') &&
  758:             ($env{'form.answer_output_mode'} ne 'tex') &&
  759:             ($Apache::lonhomework::viewgrades == 'F')) {
  760:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
  761:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
  762:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
  763:                                                {'only_body' => 1,
  764:                                                 'bgcolor'   => '#FFFFFF',
  765:                                                 'js_ready'  => 1,});
  766:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
  767:       $uname =~s/\W//g;
  768:       $udom  =~s/\W//g;
  769:       my $function_name =
  770:                 join('_','LONCAPA_scriptvars',$uname,$udom,
  771:                      $env{'form.counter'},$Apache::lonxml::curdepth);
  772:       my $rules_var ="<script type=\"text/javascript\">
  773: // <![CDATA[
  774:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
  775:     $Apache::functionplotresponse::ruleslog.
  776:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
  777: // ]]>
  778: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
  779:             &Apache::lonxml::add_script_result($rules_var);
  780:         }
  781: 
  782:   return $result;
  783: }
  784: 
  785: sub compare_rel {
  786:    my ($relationship,$value,$realval,$tol)=@_;
  787: # is the real value undefined?
  788:    unless (defined($realval)) {
  789: # the real value is not defined
  790:       if ($relationship eq 'eq') {
  791:          if ($value eq 'undef') {
  792:             return 1;
  793:          } else {
  794:             return 0;
  795:          }
  796:       } elsif ($relationship eq 'ne') {
  797:          if ($value eq 'undef') {
  798:             return 0;
  799:          } else {
  800:             return 1;
  801:          }
  802:       } else {
  803:          return 0;
  804:       }
  805:    }
  806: 
  807: # is the expected value undefined?
  808:    if ($value eq 'undef') {
  809: # but by now we know that the real value is defined
  810:       return 0;
  811:    }
  812: 
  813: # both are defined.
  814:    if ($relationship eq 'gt') {
  815:       return ($realval>$value);
  816:    } elsif ($relationship eq 'ge') {
  817:       return ($realval>$value-$tol);
  818:    } elsif ($relationship eq 'lt') {
  819:       return ($realval<$value);
  820:    } elsif ($relationship eq 'le') {
  821:       return ($realval<$value+$tol);
  822:    } elsif ($relationship eq 'ne') {
  823:       return (abs($value-$realval)>$tol);
  824:    } else {
  825:       return (abs($value-$realval)<$tol);
  826:    }
  827:    return 0;
  828: }
  829: 
  830: sub addlog {
  831:    my ($text)=@_;
  832:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
  833: }
  834: 
  835: sub actualval {
  836:    my ($i,$xmin,$xmax)=@_;
  837:    return $xmin+$i/400.*($xmax-$xmin);
  838: }
  839:  
  840: sub functionplotrulecheck {
  841:    my ($rule,$xmin,$xmax,$ymin,$ymax)=@_;
  842: 
  843:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
  844:       =split(/\:/,$rule);
  845:    $percent=($percent>0?$percent:5);
  846:    &addlog("=================");
  847:    &addlog("Rule $label for ".('function itself','first derivative','second derivative')[$derivative]." $relationship $value");
  848:    my $li=0;
  849:    my $lh=400;
  850: 
  851: # Special case: the upper boundary was not defined
  852: # and needs to be set to the value where
  853: # the condition is not true anymore => set flag
  854: 
  855:    my $findupper=0;
  856:    if (($xfinal eq '')
  857:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
  858:     && ($xfinallabel)) {
  859:        $findupper=1;
  860:    }
  861: 
  862: # if a hard value is set for the boundaries, it overrides the label
  863:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
  864:       $li=&array_index($xmin,$xmax,$xinitial);
  865:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
  866:    }
  867:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
  868:       $lh=&array_index($xmin,$xmax,$xfinal);
  869:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
  870:    }
  871: # if the label is defined, use it
  872:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
  873:       &addlog("Using lower label $xinitiallabel");
  874:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
  875:    } else {
  876:       $li=&array_index($xmin,$xmax,$xinitial);
  877:    }
  878:    unless ($findupper) {
  879:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
  880:          &addlog("Using upper label $xfinallabel");
  881:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
  882:       } else {
  883:          $lh=&array_index($xmin,$xmax,$xfinal);
  884:       }
  885:    }
  886: # Basic sanity checks
  887:    if ($li<0) { $li=0; }
  888:    if ($lh>400) { $lh=400; }
  889:    if ($li>$lh) {
  890:        $lh=$li;
  891:    }
  892: 
  893:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
  894:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
  895:    if ($findupper) {
  896:       &addlog("Looking for label $xfinallabel");
  897:    }
  898:    my $tol=$percent*($ymax-$ymin)/100;
  899:    if ($xmax>$xmin) {
  900:       if ($derivative==2) {
  901:          $tol=4.*$tol/($xmax-$xmin);
  902:       } elsif ($derivative==1) {
  903:          $tol=2.*$tol/($xmax-$xmin);
  904:       }
  905:    }
  906:    for (my $i=$li; $i<=$lh; $i++) {
  907:         my $val;
  908:         if ($derivative==2) {
  909:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
  910:         } elsif ($derivative==1) {
  911:            $val=$Apache::functionplotresponse::dfuncdx[$i];
  912:         } else {
  913:            $val=$Apache::functionplotresponse::func[$i];
  914:         }
  915:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
  916:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
  917:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
  918:            if (($findupper) && ($i>$li)) {
  919: # check for minimum and maximum lengths
  920:               my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
  921:               if ($minimumlength) {
  922:                  if ($length<$minimumlength) {
  923:                     &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
  924:                     return 0;
  925:                  }
  926:               }
  927:               if ($maximumlength) {
  928:                  if ($length>$maximumlength) {
  929:                     &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
  930:                     return 0;
  931:                  }
  932:               }
  933:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
  934:               &addlog("Rule $label passed, setting label $xfinallabel");
  935:               return 1;
  936:            } else {
  937:               &addlog("Rule $label failed.");
  938:               my $hintlabel=$label;
  939:               $hintlabel=~s/^R//;
  940:               push(@Apache::functionplotresponse::failedrules,$hintlabel);
  941:               &addlog("Set hint condition $hintlabel");
  942:               return 0; 
  943:            }
  944:         }
  945:    }
  946:    &addlog("Rule $label passed.");
  947:    return 1;
  948: }
  949: 
  950: sub start_functionplotruleset {
  951:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  952:    if ($target eq 'edit') {
  953:       return &Apache::edit::start_table($token).
  954:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
  955:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
  956:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
  957:         &Apache::edit::insertlist($target,$token)
  958:        .'</span></td>'
  959:        ."<td>&nbsp;"
  960:        .&Apache::edit::end_row()
  961:        .&Apache::edit::start_spanning_row()
  962:        ."\n";
  963:    }
  964: }
  965: 
  966: sub end_functionplotruleset {
  967:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
  968:     my $id=$Apache::inputtags::response[-1];
  969:     my $partid=$Apache::inputtags::part;
  970:     my $internalid = $partid.'_'.$id;
  971: 
  972:     if ($target eq 'edit' ) {
  973:         return &Apache::edit::end_table();
  974:     }  elsif ($target eq 'grade'
  975:          && &Apache::response::submitted()
  976:          && $Apache::lonhomework::type ne 'exam') {
  977: #
  978: # Actually grade
  979: #
  980:         my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,-2);
  981:         $xmin=(defined($xmin)?$xmin:-10);
  982:         my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,-2);
  983:         $xmax=(defined($xmax)?$xmax:10);
  984:         my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,-2);
  985:         $ymin=(defined($ymin)?$ymin:-10);
  986:         my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,-2);
  987:         $ymax=(defined($ymax)?$ymax:10);
  988: 
  989:         my $ad='';
  990:         undef  %Apache::functionplotresponse::functionplotrulelabels;
  991:         $Apache::functionplotresponse::ruleslog='';
  992:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
  993:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
  994:         if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
  995:            $ad='NOT_FUNCTION';
  996:         } else {
  997:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
  998:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
  999:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1000:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1001: 
 1002: # We have a function that we can actually grade, go through the spline rules.
 1003:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1004:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) {
 1005:                  $ad='INCORRECT';
 1006:                  last;
 1007:               }
 1008:            }
 1009: # If it's not wrong, it's correct 
 1010:            unless ($ad) { $ad='EXACT_ANS' };
 1011:         }
 1012:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1013:         &addlog("Assigned award detail: $ad");
 1014: # Store for later to be assigned at end_functionplotresponse
 1015:         $Apache::functionplotresponse::awarddetail=$ad;
 1016:      }
 1017: }
 1018: 
 1019: 
 1020: sub end_functionplotresponse {
 1021:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1022:   &Apache::response::end_response;
 1023: 
 1024:   my $result;
 1025:   my $id=$Apache::inputtags::response[-1];
 1026:   my $partid=$Apache::inputtags::part;
 1027:   my $internalid = $partid.'_'.$id;
 1028: 
 1029:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 1030:     if ($target eq 'grade'
 1031:          && &Apache::response::submitted()
 1032:          && $Apache::lonhomework::type eq 'exam') {
 1033: 
 1034:         &Apache::response::scored_response($partid,$id);
 1035: 
 1036:     } elsif ($target eq 'grade'
 1037:          && &Apache::response::submitted()
 1038:          && $Apache::lonhomework::type ne 'exam') {
 1039:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 1040:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 1041:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 1042: #
 1043: # Assign grade
 1044: #
 1045:         my $ad=$Apache::functionplotresponse::awarddetail;
 1046: #
 1047: # Store grading info
 1048: #
 1049:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 1050:         &Apache::response::handle_previous(\%previous,$ad);
 1051:    } elsif ($target eq 'web') {
 1052:         undef @Apache::functionplotresponse::failedrules;
 1053:    }
 1054:    return $result;
 1055: }
 1056: 
 1057: sub end_functionplotelements {
 1058:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1059:   my $result='';
 1060:   my $id=$Apache::inputtags::response[-1];
 1061:   my $partid=$Apache::inputtags::part;
 1062:   my $internalid = $partid.'_'.$id;
 1063:   if ($target eq 'edit' ) {
 1064:      $result=&Apache::edit::end_table();
 1065:   } elsif ($target eq 'web') {
 1066: # Now is the time to render all of the stored splines
 1067:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1068:         $result.=&generate_spline($internalid,$label);
 1069:      }
 1070: # close the init script
 1071:      $result.=&end_init_script();
 1072: # register all splines in this response 
 1073:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 1074:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 1075:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1076:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 1077:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 1078:      }
 1079: # generate the input fields
 1080:      $result.=$Apache::functionplotresponse::inputfields;
 1081: # actually start the <applet>-tag
 1082:      $result.=&geogebra_startcode($internalid);
 1083: # load the spline bytecode
 1084:      $result.=&geogebra_spline_program();
 1085: # set default parameters
 1086:      $result.=&geogebra_default_parameters($internalid);
 1087: # close the <applet>-tag
 1088:      $result.=&geogebra_endcode();
 1089:   }
 1090:   return $result;
 1091: }
 1092: 
 1093: sub start_functionplotelements {
 1094:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1095:    my $result='';
 1096:    my $id=$Apache::inputtags::response[-1];
 1097:    my $partid=$Apache::inputtags::part;
 1098:    my $internalid = $partid.'_'.$id;
 1099: 
 1100:    if ($target eq 'edit') {
 1101:       return &Apache::edit::start_table($token).
 1102:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 1103:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1104:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1105:         &Apache::edit::insertlist($target,$token)
 1106:        .'</span></td>'
 1107:        ."<td>&nbsp;"
 1108:        .&Apache::edit::end_row()
 1109:        .&Apache::edit::start_spanning_row()
 1110:        ."\n";
 1111:    } elsif ($target eq 'web') {
 1112:       my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,-2);
 1113:       $xmin=(defined($xmin)?$xmin:-10);
 1114:       my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,-2);
 1115:       $xmax=(defined($xmax)?$xmax:10);
 1116:       my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,-2);
 1117:       $ymin=(defined($ymin)?$ymin:-10);
 1118:       my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,-2);
 1119:       $ymax=(defined($ymax)?$ymax:10);
 1120:       if ($xmax<=$xmin) {
 1121:         $xmax=$xmin+20;
 1122:       }
 1123:       if ($ymax<=$ymin) {
 1124:          $ymax=$ymin+20;
 1125:       }
 1126:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1127:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1128:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1129:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 1130:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 1131: 
 1132: 
 1133: # paste in the update routine to receive stuff back from the applet
 1134:      $result.=&update_script($internalid);
 1135: # start the initscript for this applet
 1136:      $result.=&start_init_script($internalid);
 1137: # put the axis commands inside
 1138:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 1139:      $result.=&axes_label($internalid,$xlabel,$ylabel);
 1140: # init script is left open
 1141:   }
 1142:   return $result;
 1143: }
 1144: 
 1145: 1;
 1146: 
 1147: __END__
 1148:  
 1149: =head1 NAME
 1150: 
 1151: Apache::functionplotresponse.pm;
 1152: 
 1153: =head1 SYNOPSIS
 1154: 
 1155: Handles tags associated with accepting function plots.
 1156: 
 1157: This is part of the LearningOnline Network with CAPA project
 1158: described at http://www.lon-capa.org.
 1159: 
 1160: =head1 HANDLER SUBROUTINE
 1161: 
 1162: start_functionplotresponse()
 1163: 
 1164: =head1 OTHER SUBROUTINES
 1165: 
 1166: =over
 1167: 
 1168: =item end_functionplotresponse()
 1169: 
 1170: =back
 1171: 
 1172: =cut

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