File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.83: download - view: text, annotated - select for diffs
Mon Nov 21 20:48:50 2011 UTC (12 years, 6 months ago) by www
Branches: MAIN
CVS tags: HEAD
Sum vector rule working

    1: # LearningOnline Network with CAPA
    2: # Functionplot responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.83 2011/11/21 20:48:50 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: use Apache::run;
   35:  
   36: BEGIN {
   37:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
   38:                                                             'plotobject','plotvector','functionplotvectorrule','functionplotvectorsumrule',
   39:                                                             'functionplotrule','functionplotruleset',
   40:                                                             'functionplotelements'));
   41: }
   42: 
   43: #
   44: # There can be a number of applets on a page, each called ggbApplet_$id, 
   45: # where $id is the "_"-concatenated part and responseid
   46: #
   47: 
   48: sub geogebra_startcode {
   49:     my ($id)=@_;
   50:     return (<<ENDSTARTCODE);
   51: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   52:          codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
   53:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   54: ENDSTARTCODE
   55: }
   56: 
   57: sub geogebra_endcode {
   58:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   59: }
   60: 
   61: #
   62: # This is the internal GeoGebra bytecode which defines the spline functions
   63: #
   64: sub geogebra_spline_program {
   65:     return (<<ENDSPLINEPROGRAM);
   66: <param name="ggbBase64" value="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"/>
   67: ENDSPLINEPROGRAM
   68: }
   69: 
   70: #
   71: # The standard set of parameters inside <applet>
   72: #
   73: sub geogebra_default_parameters {
   74:    my ($id)=@_;
   75:    return(<<ENDDEFAULTPARAMETERS);
   76:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   77:         <param name="boxborder" value="false"  />
   78:         <param name="centerimage" value="true"  />
   79: 	<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_algos.jar, geogebra_javascript.jar, geogebra_properties.jar, jlatexmath.jar, jlm_cyrillic.jar, jlm_greek.jar" />
   80: 	<param name="cache_version" value="4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0" />
   81:         <param name="framePossible" value="false" />
   82: 
   83:         <param name="showResetIcon" value="false" />
   84:         <param name="showAnimationButton" value="false" />
   85:         <param name="enableRightClick" value="false" />
   86:         <param name="errorDialogsActive" value="true" />
   87:         <param name="enableLabelDrags" value="false" />
   88:         <param name="showMenuBar" value="false" />
   89:         <param name="showToolBar" value="false" />
   90:         <param name="showToolBarHelp" value="false" />
   91:         <param name="showAlgebraInput" value="false" />
   92:         <param name="enableShiftDragZoom" value="false" />
   93:         <param name="allowRescaling" value="false" />
   94:         <param name="enableLabelDrags" value="false" />
   95:         <param name="ggbOnInitParam" value="applet_$id" />
   96: ENDDEFAULTPARAMETERS
   97: }
   98: 
   99: #
  100: # This subroutine is called by LON-CAPA at </problem>
  101: # Each applet on the page will call function ggbOnInit when it is done loading
  102: # This function in turn will call the respective function registered by start_init_script
  103: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  104: #
  105: 
  106: sub init_script {
  107:    if ($#Apache::functionplotresponse::callscripts>=0) {
  108:       my $script='';
  109:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  110:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  111:       }
  112:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  113:                ") { setTimeout('ggbInitAll()',200) }";
  114:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  115:       return (<<ENDGGBINIT);
  116: <script type="text/javascript">
  117: // <![CDATA[
  118: // Function that each applet will call when loaded
  119: // It will pass "its" parameter
  120: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  121: function ggbOnInit(param) {
  122: $script
  123: }
  124: function ggbInitAll() {
  125: $calls
  126: }
  127: // ]]>
  128: </script>
  129: ENDGGBINIT
  130:    }
  131: }
  132: 
  133: #
  134: # Each Geogebra applet is supposed to call this when parameters change
  135: # Changes the hidden fields on the web page
  136: #
  137: sub update_script {
  138:     my ($id)=@_;
  139:     return (<<ENDUPDATESCRIPT);
  140: <script type="text/javascript">
  141: // <![CDATA[
  142: function updatePointCoordinates_$id(coordinateName) {
  143:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  144:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  145:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  146:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  147:         }
  148: // ]]>
  149: </script>
  150: ENDUPDATESCRIPT
  151: }
  152: 
  153: #
  154: # Register the above update-handler for a variable
  155: #
  156: 
  157: sub update_register {
  158:    my ($id,$variable)=@_;
  159:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  160: }
  161: 
  162: #
  163: # Set a point coordinate variable
  164: #
  165: sub set_point_coordinate {
  166:    my ($id,$variable,$x,$y,$fixed)=@_;
  167:    my $mult=($fixed?'a*':'');
  168: # Get rid of wild exponents, make sure it's a number
  169:    $x=1.*$x;
  170:    $y=1.*$y;
  171: # GeoGebra does not understand "E"
  172:    $x=~s/[e|E]/\*10\^/;
  173:    $x=~s/\+//;
  174:    $y=~s/[e|E]/\*10\^/;
  175:    $y=~s/\+//;
  176:    return (<<ENDSETVARIABLE);
  177: document.ggbApplet_$id.evalCommand("a=1");
  178: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
  179: document.ggbApplet_$id.setLabelVisible("$variable",false);
  180: ENDSETVARIABLE
  181: }
  182: 
  183: #
  184: # Set a slope coordinate variable
  185: #
  186: sub set_slope_coordinate {
  187:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
  188:    my $xvariable=$variable.'x';
  189:    my $yvariable=$variable.'y';
  190:    my $domain=$xmax-$xmin;
  191:    my $range=$ymax-$ymin;
  192:    my $xinterval=$domain/100.;
  193:    my $yinterval=$range/200.;
  194:    my $mult=($fixed?'a*':'');
  195:    return (<<ENDSETSVARIABLE);
  196: document.ggbApplet_$id.evalCommand("a=1");
  197: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
  198: document.ggbApplet_$id.setVisible("$xvariable", false);
  199: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
  200: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
  201: document.ggbApplet_$id.setVisible("$yvariable", false);
  202: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
  203: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
  204: document.ggbApplet_$id.setLabelVisible("$variable", false);
  205: ENDSETSVARIABLE
  206: }
  207: 
  208: #
  209: # Input field name for a coordinate variable
  210: #
  211: 
  212: sub field_name {
  213:     my ($id,$variable,$name)=@_;
  214:     return "HWVAL_$id\_$variable\_$name";
  215: }
  216: 
  217: #
  218: # Generate an input field for a coordinate variable
  219: #
  220: 
  221: sub generate_input_field {
  222:     my ($id,$variable,$x,$y)=@_;
  223:     $Apache::functionplotresponse::inputfields.=
  224:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  225:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  226: }
  227: 
  228: #
  229: # Initialize a new point coordinate variable at set a listener on it
  230: #
  231: sub new_point_coordinate {
  232:     my ($id,$variable,$x,$y,$fixed)=@_;
  233:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  234:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  235:     }
  236:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  237:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  238:     }
  239:     &generate_input_field($id,$variable,$x,$y);
  240:     return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
  241: }
  242: 
  243: #
  244: # Initialize a new slope coordinate variable at set a listener on it
  245: #
  246: sub new_slope_coordinate {
  247:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  248: #
  249: # $variable: name of the slope point
  250: # $x, $y: coordinates of the slope point
  251: # $pointname: name of the associated point point
  252: # $xp $yp: coordinates of the point point
  253: #
  254:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  255:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  256:     }
  257:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  258:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  259:     }
  260:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
  261:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
  262:     }
  263:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
  264:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
  265:     }
  266: 
  267:     &generate_input_field($id,$variable,$x,$y);
  268:     my $xrel=$x-$xp;
  269:     my $yrel=$y-$yp;
  270:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
  271: }
  272: 
  273: #
  274: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  275: # It then starts the right headers
  276: #
  277: sub start_init_script {
  278:     my ($id)=@_;
  279: # Add id to the list of ggbInit_$id functions that need to be called
  280:     push(@Apache::functionplotresponse::callscripts,$id);
  281: # ... and open this function
  282:     return (<<ENDSTARTINIT);
  283: <script type="text/javascript">
  284: // <![CDATA[
  285: // variable that will eventually be passed back to the server
  286: var coordinateMap_$id = [];
  287: // flag for not loaded yet
  288: var loaded_$id=false;
  289: // Init-function for applet
  290: function ggbInit_$id() {
  291: ENDSTARTINIT
  292: }
  293: 
  294: #
  295: # This sets the axes inside ggbInit_$id
  296: #
  297: 
  298: sub axes_script {
  299:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  300:     return (<<ENDAXESSCRIPT);
  301:             // changes (xmin, xmax, ymin, ymax)
  302:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  303: 
  304:             // makes the (x,y) axis (in)visible
  305:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  306:             // makes the grid (in)visible
  307:             document.ggbApplet_$id.setGridVisible($gvisible);
  308: ENDAXESSCRIPT
  309: }
  310: 
  311: sub axes_label {
  312:     my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
  313:     unless ($xlabel || $ylabel) { return ''; }
  314:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  315:     if ($xlabel) {
  316:       if (($ymin<0) && ($ymax>0)) {
  317:        $return.=(<<ENDXAXISLABELSCRIPT);
  318: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  319: document.ggbApplet_$id.setVisible("Xlabel",false);
  320: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  321: ENDXAXISLABELSCRIPT
  322:       } else {
  323:        $return.=(<<ENDXOFFAXISLABEL);
  324: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
  325: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
  326: ENDXOFFAXISLABEL
  327:       }
  328:     }
  329:     if ($ylabel) {
  330:       if (($xmin<0) && ($xmax>0)) {
  331:        $return.=(<<ENDYAXISLABELSCRIPT);
  332: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  333: document.ggbApplet_$id.setVisible("Ylabel",false);
  334: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  335: ENDYAXISLABELSCRIPT
  336:       } else {
  337:        $return.=(<<ENDYOFFAXISLABEL);
  338: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
  339: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
  340: ENDYOFFAXISLABEL
  341:       }
  342:     }
  343:     return $return;
  344: }
  345: 
  346: #
  347: # Subroutine to produce background and answer plots
  348: #
  349: 
  350: sub plot_script {
  351:    my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
  352:    $label=~s/\W//g;
  353:    if (($label) && ($label!~/^[A-Za-z]/)) {
  354:       $label='C'.$label;
  355:    }
  356:    my $visible=0;
  357:    if ($label) {
  358:       $visible="1";
  359:    } else {
  360:       $Apache::functionplotresponse::counter++;
  361:       $label='C'.$Apache::functionplotresponse::counter;
  362:    }
  363:    my $rc=0;
  364:    my $gc=0;
  365:    my $bc=0;
  366:    if ($color) {
  367:       my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
  368:       $rc=hex($rh);
  369:       $gc=hex($gh);
  370:       $bc=hex($bh);
  371:    }
  372:    if ($fixed) {
  373:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
  374:              ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
  375:              ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
  376:              ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
  377:    } else {
  378:        return "document.ggbApplet_$id.evalCommand('y=$function');\n";
  379:    }
  380: }
  381: 
  382: #
  383: # Subroutine to produce objects
  384: #
  385: 
  386: sub plotobject_script {
  387:    my ($id,$label,$x,$y)=@_;
  388:    unless ($label) {
  389:       $Apache::functionplotresponse::counter++;
  390:       $label='O'.$Apache::functionplotresponse::counter;
  391:    }
  392:    &generate_input_field($id,$label,$x,$y);
  393:    return "document.ggbApplet_$id.evalCommand('a=1');\n".
  394:           "document.ggbApplet_$id.setVisible('a', false);\n".
  395:           "document.ggbApplet_$id.setLabelVisible('a', false);\n".
  396:           "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n".
  397:           "document.ggbApplet_$id.setVisible('$label', true);\n".
  398:           "document.ggbApplet_$id.setLabelVisible('$label', true);\n";
  399: }
  400: 
  401: #
  402: # Subroutine to produce vectors
  403: #
  404: 
  405: sub plotvector_script {
  406:    my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax)=@_;
  407:    unless ($label) {
  408:       $Apache::functionplotresponse::counter++;
  409:       $label='V'.$Apache::functionplotresponse::counter;
  410:    }
  411:    my $startlabel=$label.'Start';
  412:    my $endlabel=$label.'End';
  413:    my $pointlabel=$label.'Point';
  414:    my $pointx=2.*($xmax-$xmin)+$xmax;
  415:    my $anglelabel=$label.'Angle';
  416:    return 
  417:        &new_point_coordinate($id,$startlabel,$xs,$ys,0).
  418:        &new_point_coordinate($id,$endlabel,$xe,$ye,0).
  419:        (<<ENDVECTOR);
  420: document.ggbApplet_$id.evalCommand("$label=Vector[$startlabel,$endlabel]");
  421: document.ggbApplet_$id.setLabelVisible("$label",true);
  422: document.ggbApplet_$id.setLineThickness("$label",8);
  423: document.ggbApplet_$id.evalCommand("$pointlabel=($pointx,y($startlabel))");
  424: document.ggbApplet_$id.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
  425: document.ggbApplet_$id.setLabelVisible("$anglelabel",true);
  426: document.ggbApplet_$id.setLabelStyle("$anglelabel",VALUE=2);
  427: ENDVECTOR
  428: }
  429: 
  430: #
  431: # Answer spline display
  432: # 
  433: # points: x,y,slope_x,slope_y
  434: 
  435: sub answer_spline_script {
  436:    my ($id,@points)=@_;
  437:    my $order=int(($#points+1)/4);
  438:    if ($order<2) { $order=2; }
  439:    if ($order>8) { $order=8; }
  440:    $Apache::functionplotresponse::counter++;
  441:    my $label='CSpline'.$Apache::functionplotresponse::counter;
  442:    my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
  443:    for (my $i=0;$i<=$#points;$i+=4) {
  444:       $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
  445:    }
  446:    $output=~s/\,$//;
  447:    $output.=']");'."\n";
  448:    for (my $i=2; $i<2*$order; $i+=2) {
  449:        $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
  450:    }
  451:    for (my $i=1; $i<2*$order; $i+=2) {
  452:        $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
  453:    }
  454: 
  455:    return $output;
  456: }
  457: 
  458: #
  459: # Subroutine that generates code for spline $label based on stored information
  460: #
  461: 
  462: sub generate_spline {
  463:    my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  464:    my $result='';
  465:    my $order=$Apache::functionplotresponse::splineorder{$label};
  466:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  467:    my $y=$Apache::functionplotresponse::splineinity{$label};
  468:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  469:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  470:    my @coords=();
  471:    foreach my $i (1..$order) {
  472:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
  473:        my $xp=$x;
  474:        $x+=$sx/(2.*($order-1));
  475:        push(@coords,$label.'P'.$i);
  476:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
  477:        $x+=$sx/(2.*($order-1));
  478:        push(@coords,$label.'S'.$i);
  479:    }
  480:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  481:    return $result;
  482: }
  483: 
  484: #
  485: # Object
  486: #
  487: 
  488: sub start_plotobject {
  489:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  490:    my $result='';
  491:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  492:    my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
  493:    my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
  494:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  495:    $label=~s/\W//gs;
  496:    $label=ucfirst($label);
  497:    unless ($label) { $label="NewObject"; }
  498:    if ($target eq 'web') {
  499:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  500:       unless (defined($x)) { $x=$xmin; }
  501:       unless (defined($y)) { $y=$ymin; }
  502:       $result.=&plotobject_script($internalid,$label,$x,$y);
  503:    } elsif ($target eq 'edit') {
  504:         $result=&Apache::edit::tag_start($target,$token,'Plot Object').
  505:              &Apache::edit::text_arg('Label on Plot:','label',
  506:                                      $token,'16').
  507:              &Apache::edit::text_arg('x:','x',
  508:                                      $token,'8').
  509:              &Apache::edit::text_arg('y:','y',
  510:                                      $token,'8').
  511:              &Apache::edit::end_row();
  512:   } elsif ($target eq 'modified') {
  513:     $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
  514:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
  515:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  516:   }
  517:   return $result;
  518: }
  519: 
  520: sub end_plotobject {
  521:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  522:    my $result='';
  523:    if ($target eq 'edit') {
  524:        $result=&Apache::edit::end_table();
  525:    }
  526:    return $result;
  527: }
  528: 
  529: #
  530: # Vector
  531: #
  532: 
  533: sub start_plotvector {
  534:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  535:    my $result='';
  536:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  537:    my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
  538:    my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
  539:    my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
  540:    my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
  541: 
  542:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  543:    $label=~s/\W//gs;
  544:    $label=ucfirst($label);
  545:    unless ($label) { $label="NewVector"; }
  546:    if ($target eq 'web') {
  547:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  548:       unless (defined($tailx)) { $tailx=$xmin; }
  549:       unless (defined($taily)) { $taily=$ymin; }
  550:       unless (defined($tipx)) { $tipx=$xmin; }
  551:       unless (defined($tipy)) { $tipy=$ymin; }
  552:       $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax);
  553:    } elsif ($target eq 'edit') {
  554:         $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
  555:              &Apache::edit::text_arg('Label on Plot:','label',
  556:                                      $token,'16').
  557:              &Apache::edit::text_arg('Tail x:','tailx',
  558:                                      $token,'8').
  559:              &Apache::edit::text_arg('Tail y:','taily',
  560:                                      $token,'8').
  561:              &Apache::edit::text_arg('Tip x:','tipx',
  562:                                      $token,'8').
  563:              &Apache::edit::text_arg('Tip y:','tipy',
  564:                                      $token,'8').
  565: 
  566:              &Apache::edit::end_row();
  567:   } elsif ($target eq 'modified') {
  568:     $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
  569:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
  570:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  571:   }
  572:   return $result;
  573: }
  574: 
  575: sub end_plotvector {
  576:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  577:    my $result='';
  578:    if ($target eq 'edit') {
  579:        $result=&Apache::edit::end_table();
  580:    }
  581:    return $result;
  582: }
  583: 
  584: 
  585: 
  586: #
  587: # <backgroundplot function="..." fixed="yes/no" />
  588: #
  589: sub start_backgroundplot {
  590:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  591:    my $result='';
  592:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  593:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  594:    my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
  595:    my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
  596:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  597:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
  598:    $color=~s/[^a-fA-F0-9]//gs;
  599:    unless (length($color)==6) { $color=''; }
  600:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  601:  
  602:    unless ($function) { $function="0"; }
  603:    if ($target eq 'web') {
  604:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  605:       unless (defined($xinitial)) { $xinitial=$xmin; }
  606:       unless (defined($xfinal)) { $xfinal=$xmax; }
  607:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
  608:    } elsif ($target eq 'edit') {
  609:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  610:              &Apache::edit::text_arg('Function:','function',
  611:                                      $token,'16').
  612:              &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
  613:                                      $token,'8').
  614:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  615:                                      $token,'8').
  616:              &Apache::edit::text_arg('Label on Plot:','label',
  617:                                      $token,'8').
  618:              &Apache::edit::text_arg('Color (hex code):','color',
  619:                                      $token,'8').
  620:              &Apache::edit::select_arg('Fixed location:','fixed',
  621:                                   ['yes','no'],$token).
  622:              &Apache::edit::end_row();
  623:   } elsif ($target eq 'modified') {
  624:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  625:                                                  $safeeval,'function','label','xinitial','xfinal','color','fixed');
  626:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  627:   }
  628:   return $result;
  629: }
  630: 
  631: sub end_backgroundplot {
  632:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  633:    my $result='';
  634:    if ($target eq 'edit') {
  635:        $result=&Apache::edit::end_table();
  636:    }
  637:    return $result;
  638: }
  639: 
  640: #
  641: # <functionplotrule ... />
  642: #
  643: sub start_functionplotrule {
  644:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  645:    my $result='';
  646:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  647:    $Apache::functionplotresponse::counter++;
  648:    if ($label=~/\W/) {
  649:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  650:    }
  651:    $label=~s/\W//gs;
  652:    unless ($label) {
  653:       $label='R'.$Apache::functionplotresponse::counter;
  654:    } else {
  655:       $label='R'.$label;
  656:    }
  657: 
  658:    if ($target eq 'grade') {
  659: # Simply remember - in order - for later
  660:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  661:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  662:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  663:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  664:       }
  665:       $beginninglabel=~s/\W//gs;
  666:       $endinglabel=~s/\W//gs;
  667:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  668:       $relationship=~s/\W//gs;
  669:       $relationship=lc($relationship);
  670:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  671:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  672:           $relationship='eq';
  673:       }
  674:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  675:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
  676:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  677:          $derivative=0;
  678:       }
  679:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  680:            $label,
  681:            $derivative,
  682:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  683:            $beginninglabel,
  684:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  685:            $endinglabel,
  686:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  687:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  688:            $relationship,
  689:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  690:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  691:           )));
  692:    } elsif ($target eq 'edit') {
  693:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule').
  694:              &Apache::edit::text_arg('Index/Name:','index',
  695:                                      $token,'10').'&nbsp;'.
  696:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  697:                                   [['0','Function itself'],
  698:                                    ['1','First derivative'],
  699:                                    ['2','Second derivative'],
  700:                                    ['-1','Integral']],$token).'<br />'.
  701:              &Apache::edit::text_arg('Initial x-value:','xinitial',
  702:                                       $token,'8').
  703:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
  704:                                                [['start','Start of Plot'],
  705:                                                 ['end','End of Plot']],$token,'8').'<br />'.
  706: 
  707:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  708:                                       $token,'8').
  709:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
  710:                                                [['end','End of Plot']],$token,'8').'<br />'.
  711:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
  712:                                      $token,'8').
  713:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
  714:                                      $token,'8').'<br />'.
  715:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
  716:                                   [['eq','equal'],
  717:                                    ['ne','not equal'],
  718:                                    ['ge','greater than or equal'],
  719:                                    ['gt','greater than'],
  720:                                    ['lt','less than'],
  721:                                    ['le','less than or equal']],$token).
  722:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  723:                                                [['undef','not defined']],$token,'30').
  724:              &Apache::edit::text_arg('Percent error:','percenterror',
  725:                                      $token,'8').
  726:              &Apache::edit::end_row();
  727:   } elsif ($target eq 'modified') {
  728:     if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
  729:        $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
  730:     }
  731:     if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
  732:        $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
  733:     }
  734:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  735:                                                  $safeeval,'index','derivativeorder',
  736:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  737:                                                            'minimumlength','maximumlength',
  738:                                                            'relationship','value','percenterror');
  739:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  740:    }
  741:    return $result;
  742: }
  743: 
  744: sub end_functionplotrule {
  745:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  746:    my $result='';
  747:    if ($target eq 'edit') {
  748:        $result=&Apache::edit::end_table();
  749:    }
  750:    return $result;
  751: }
  752: 
  753: 
  754: #
  755: # <functionplotvectorrule ... />
  756: #
  757: sub start_functionplotvectorrule {
  758:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  759:    my $result='';
  760:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  761:    $Apache::functionplotresponse::counter++;
  762:    if ($label=~/\W/) {
  763:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  764:    }
  765:    $label=~s/\W//gs;
  766:    unless ($label) {
  767:       $label='R'.$Apache::functionplotresponse::counter;
  768:    } else {
  769:       $label='R'.$label;
  770:    }
  771: 
  772:    if ($target eq 'grade') {
  773: # Simply remember - in order - for later
  774: 
  775:       my $id=$Apache::inputtags::response[-1];
  776:       my $partid=$Apache::inputtags::part;
  777:       my $internalid = $partid.'_'.$id;
  778: 
  779:       my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval);
  780:       $vector=~s/\W//gs;
  781:       $vector=ucfirst($vector);
  782: 
  783:       my $attachpoint=&Apache::lonxml::get_param('attachpoint',$parstack,$safeeval);
  784:       $attachpoint=~s/\W//gs;
  785:       $attachpoint=ucfirst($attachpoint);
  786: 
  787:       my $notattachpoint=&Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval);
  788:       $notattachpoint=~s/\W//gs;
  789:       $notattachpoint=ucfirst($notattachpoint);
  790: 
  791:       my $tailpoint=&Apache::lonxml::get_param('tailpoint',$parstack,$safeeval);
  792:       $tailpoint=~s/\W//gs;
  793:       $tailpoint=ucfirst($tailpoint);
  794:       my $tippoint=&Apache::lonxml::get_param('tippoint',$parstack,$safeeval);
  795:       $tippoint=~s/\W//gs;
  796:       $tippoint=ucfirst($tippoint);
  797: 
  798:       my $nottailpoint=&Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval);
  799:       $nottailpoint=~s/\W//gs;
  800:       $nottailpoint=ucfirst($nottailpoint);
  801:       my $nottippoint=&Apache::lonxml::get_param('nottippoint',$parstack,$safeeval);
  802:       $nottippoint=~s/\W//gs;
  803:       $nottippoint=ucfirst($nottippoint);
  804: 
  805:       push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
  806:            $label,
  807:            'vector',
  808:            $internalid,
  809:            $vector,
  810:            $attachpoint,
  811:            $notattachpoint,
  812:            $tailpoint,
  813:            $tippoint,
  814:            $nottailpoint,
  815:            $nottippoint,
  816:            &Apache::lonxml::get_param('length',$parstack,$safeeval),
  817:            &Apache::lonxml::get_param('angle',$parstack,$safeeval),
  818:            &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
  819:            &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
  820:           )));
  821:    } elsif ($target eq 'edit') {
  822:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule').
  823:              &Apache::edit::text_arg('Index/Name:','index',
  824:                                      $token,'10').'&nbsp;'.
  825:              &Apache::edit::text_arg('Vector:','vector',
  826:                                       $token,'16').'<br />'.
  827:              &Apache::edit::text_arg('Attached to object:','attachpoint',
  828:                                       $token,'16').
  829:              &Apache::edit::text_arg('Not attached to object:','notattachpoint',
  830:                                       $token,'16').'<br />'.
  831:              &Apache::edit::text_arg('Tail attached to object:','tailpoint',
  832:                                       $token,'16').
  833:              &Apache::edit::text_arg('Tip attached to object:','tippoint',
  834:                                       $token,'16').
  835:              &Apache::edit::text_arg('Tail not attached to object:','nottailpoint',
  836:                                       $token,'16').
  837:              &Apache::edit::text_arg('Tip not attached to object:','nottippoint',
  838:                                       $token,'16').'<br />'.
  839:              &Apache::edit::text_arg('Length:','length',
  840:                                      $token,'16').
  841:              &Apache::edit::text_arg('Angle:','angle',
  842:                                      $token,'16').
  843:              &Apache::edit::text_arg('Absolute error length:','lengtherror',
  844:                                      $token,'8').
  845:              &Apache::edit::text_arg('Absolute error angle:','angleerror',
  846:                                      $token,'8').
  847:              &Apache::edit::end_row();
  848:   } elsif ($target eq 'modified') {
  849:     $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')});
  850:     $env{'form.'.&Apache::edit::html_element_name('attachpoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('attachpoint')});
  851:     $env{'form.'.&Apache::edit::html_element_name('notattachpoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('notattachpoint')});
  852:     $env{'form.'.&Apache::edit::html_element_name('tailpoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('tailpoint')});
  853:     $env{'form.'.&Apache::edit::html_element_name('tippoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('tippoint')});
  854:     $env{'form.'.&Apache::edit::html_element_name('nottailpoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('nottailpoint')});
  855:     $env{'form.'.&Apache::edit::html_element_name('nottippoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('nottippoint')});
  856:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  857:                                                  $safeeval,'index','vector','attachpoint','notattachpoint',
  858:                                                            'tailpoint','tippoint','nottailpoint','nottipoint',
  859:                                                            'length','angle',
  860:                                                            'lengtherror','angleerror');
  861:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  862:    }
  863:    return $result;
  864: }
  865: 
  866: sub end_functionplotvectorrule {
  867:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  868:    my $result='';
  869:    if ($target eq 'edit') {
  870:        $result=&Apache::edit::end_table();
  871:    }
  872:    return $result;
  873: }
  874: 
  875: #
  876: # <functionplotvectorsumrule ... />
  877: #
  878: sub start_functionplotvectorsumrule {
  879:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  880:    my $result='';
  881:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  882:    $Apache::functionplotresponse::counter++;
  883:    if ($label=~/\W/) {
  884:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  885:    }
  886:    $label=~s/\W//gs;
  887:    unless ($label) {
  888:       $label='R'.$Apache::functionplotresponse::counter;
  889:    } else {
  890:       $label='R'.$label;
  891:    }
  892:    if ($target eq 'grade') {
  893: # Simply remember - in order - for later
  894:       my $id=$Apache::inputtags::response[-1];
  895:       my $partid=$Apache::inputtags::part;
  896:       my $internalid = $partid.'_'.$id;
  897:       my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval);
  898:       push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
  899:            $label,
  900:            'sum',
  901:            $internalid,
  902:            $vectors,
  903:            &Apache::lonxml::get_param('length',$parstack,$safeeval),
  904:            &Apache::lonxml::get_param('angle',$parstack,$safeeval),
  905:            &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
  906:            &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
  907:           )));
  908:    } elsif ($target eq 'edit') {
  909:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule').
  910:              &Apache::edit::text_arg('Index/Name:','index',
  911:                                      $token,'10').'&nbsp;'.
  912:              &Apache::edit::text_arg('Comma-separated list of vectors:','vectors',
  913:                                       $token,'30').'<br />'.
  914:              &Apache::edit::text_arg('Sum vector length:','length',
  915:                                      $token,'16').
  916:              &Apache::edit::text_arg('Sum vector angle:','angle',
  917:                                      $token,'16').
  918:              &Apache::edit::text_arg('Error length:','lengtherror',
  919:                                      $token,'8').
  920:              &Apache::edit::text_arg('Error angle:','angleerror',
  921:                                      $token,'8').
  922:              &Apache::edit::end_row();
  923:   } elsif ($target eq 'modified') {
  924:     $env{'form.'.&Apache::edit::html_element_name('object')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('object')});
  925:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  926:                                                  $safeeval,'index','vectors',
  927:                                                            'length','angle',
  928:                                                            ,'lengtherror','angleerror');
  929:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  930:    }
  931:    return $result;
  932: }
  933: 
  934: sub end_functionplotvectorsumrule {
  935:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  936:    my $result='';
  937:    if ($target eq 'edit') {
  938:        $result=&Apache::edit::end_table();
  939:    }
  940:    return $result;
  941: }
  942: 
  943: #
  944: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  945: #
  946: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  947: #
  948: sub start_spline {
  949:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  950:    my $result='';
  951:    if ($target eq 'web') {
  952:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  953:       $Apache::functionplotresponse::counter++;
  954:       if ($label=~/\W/) {
  955:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  956:       }
  957:       $label=~s/\W//gs;
  958:       unless ($label) { 
  959:          $label='S'.$Apache::functionplotresponse::counter; 
  960:       } else {
  961:          $label='S'.$label;
  962:       }
  963:       if ($Apache::functionplotresponse::splineorder{$label}) {
  964:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  965:       }
  966: 
  967:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
  968:       if ($order<2) { $order=2; }
  969:       if ($order>8) { $order=8; }
  970:       $Apache::functionplotresponse::splineorder{$label}=$order;
  971: 
  972:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
  973:       unless ($x) { $x=0; }
  974:       $Apache::functionplotresponse::splineinitx{$label}=$x;
  975: 
  976:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
  977:       unless ($y) { $y=0; }
  978:       $Apache::functionplotresponse::splineinity{$label}=$y;
  979: 
  980:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
  981:       unless ($sx) { $sx=$order; }
  982:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
  983: 
  984:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
  985:       unless ($sy) { $sy=2; }
  986:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
  987:    } elsif ($target eq 'edit') {
  988:         $result=&Apache::edit::tag_start($target,$token,'Spline').
  989:              &Apache::edit::text_arg('Index:','index',
  990:                                      $token,'4').'&nbsp;'.
  991:              &Apache::edit::select_arg('Order:','order',
  992:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
  993:              &Apache::edit::text_arg('Initial x-value:','initx',
  994:                                      $token,'4').'&nbsp;'.
  995:              &Apache::edit::text_arg('Initial y-value:','inity',
  996:                                      $token,'4').'&nbsp;'.
  997:              &Apache::edit::text_arg('Scale x:','scalex',
  998:                                      $token,'4').'&nbsp;'.
  999:              &Apache::edit::text_arg('Scale y:','scaley',
 1000:                                      $token,'4').
 1001:              &Apache::edit::end_row();
 1002:   } elsif ($target eq 'modified') {
 1003:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
 1004:                                                  $safeeval,'index','order','initx','inity',
 1005:                                                            'scalex','scaley');
 1006:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
 1007:   }
 1008:   return $result;
 1009: }
 1010: 
 1011: sub end_spline {
 1012:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1013:    my $result='';
 1014:    if ($target eq 'edit') {
 1015:        $result=&Apache::edit::end_table();
 1016:    }
 1017:    return $result;
 1018: }
 1019:  
 1020: sub end_init_script {
 1021:     return (<<ENDENDINIT);
 1022: }
 1023: // ]]>
 1024: </script>
 1025: ENDENDINIT
 1026: }
 1027: 
 1028: #
 1029: # Storing and restoring spline coordinates from part answers
 1030: #
 1031: sub decode_previous_answer {
 1032:    my ($answer)=@_;
 1033:    foreach my $coordinate (split(/\,/,$answer)) {
 1034:       my ($key,$value)=split(/\=/,$coordinate);
 1035:       $Apache::functionplotresponse::previous{$key}=$value;
 1036:    }
 1037: }
 1038: 
 1039: sub get_answer_from_form_fields {
 1040:    my ($id)=@_;
 1041:    my $answer='';
 1042:    my %coords=();
 1043:    foreach my $field (keys(%env)) {
 1044:       if ($field=~/^form\.HWVAL\_$id/) {
 1045:          $field=~/^form\.(.*)$/;
 1046:          $coords{$1}=$env{$field};
 1047:       }
 1048:    }
 1049:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
 1050:    return ($answer,%coords);
 1051: }
 1052: 
 1053: #
 1054: # The following functions calculate the cubic-hermite splines server-side
 1055: #
 1056: 
 1057: sub cubic_hermite {
 1058:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1059:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
 1060:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
 1061: }
 1062: 
 1063: #
 1064: # d/dt(...)
 1065: # 
 1066: 
 1067: sub ddt_cubic_hermite {
 1068:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1069:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
 1070:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
 1071: }
 1072: 
 1073: #
 1074: # d^2/dt^2(...)
 1075: #
 1076: 
 1077: sub d2dt2_cubic_hermite {
 1078:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1079:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
 1080:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
 1081: }
 1082: 
 1083: #
 1084: # Array index calculation
 1085: #
 1086: sub array_index {
 1087:    my ($xmin,$xmax,$x)=@_;
 1088:    if ($x ne '') {
 1089:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
 1090:    } else {
 1091:       return undef;
 1092:    }
 1093: }
 1094: 
 1095: #
 1096: # Populate the arrays
 1097: #
 1098: 
 1099: sub populate_arrays {
 1100:     my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
 1101:     for (my $i=0; $i<=400; $i++) {
 1102:        $Apache::functionplotresponse::actualxval[$i]=undef;
 1103:        $Apache::functionplotresponse::func[$i]=undef;
 1104:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
 1105:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
 1106:     }
 1107:     unless ($xmax>$xmin) { return 'no_func'; }
 1108: # Run over all splines in response
 1109:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
 1110:         my $xiold=-1;
 1111: # Run over all points in spline
 1112:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
 1113:             my $ni=$i+1;
 1114:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
 1115:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
 1116:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
 1117:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
 1118:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
 1119:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
 1120:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
 1121:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
 1122: # Run in small steps over spline parameter
 1123:             for (my $t=0; $t<=1; $t+=0.0001) {
 1124:                 my $xreal=&cubic_hermite($t,@xparms);
 1125:                 my $xi=&array_index($xmin,$xmax,$xreal);
 1126:                 if ($xi<$xiold) { return 'no_func'; }
 1127:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
 1128:                    $xiold=$xi;
 1129:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
 1130: # Function value
 1131:                    my $funcval=&cubic_hermite($t,@yparms);
 1132: 
 1133: # Do we already have a value for this point, and is it different from the new one?
 1134:                    if ((defined($Apache::functionplotresponse::func[$xi])) &&
 1135:                        (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
 1136:                        return 'no_func'; 
 1137:                    }
 1138: # Okay, remember the new point
 1139:                    $Apache::functionplotresponse::func[$xi]=$funcval;
 1140: 
 1141:                    if (defined($funcval)) {
 1142:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
 1143:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
 1144:                       }
 1145:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
 1146:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
 1147:                       }
 1148:                    }
 1149: # Chain rule
 1150: # dy/dx=dy/dt/(dx/dt)
 1151:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
 1152:                    if ($dxdt) {
 1153:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
 1154: # Second derivative
 1155:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
 1156:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
 1157:                          ($dxdt*$dxdt*$dxdt);
 1158:                    }
 1159:                 }
 1160:             }
 1161:         }
 1162:     }
 1163: }
 1164: 
 1165: #
 1166: # Implementation of <functionplotresponse>
 1167: #
 1168: 
 1169: sub start_functionplotresponse {
 1170:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1171:   my $result='';
 1172: # To remember the splines - somehow, they need to come last
 1173:   undef %Apache::functionplotresponse::splineorder;
 1174:   undef %Apache::functionplotresponse::splineinitx;
 1175:   undef %Apache::functionplotresponse::splineinity;
 1176:   undef %Apache::functionplotresponse::splinescalex;
 1177:   undef %Apache::functionplotresponse::splinescaley;
 1178: # Remember input fields, etc
 1179:   undef %Apache::functionplotresponse::previous;
 1180:   $Apache::functionplotresponse::inputfields='';
 1181:   $Apache::functionplotresponse::counter=0;
 1182: # Remember rules
 1183:   undef @Apache::functionplotresponse::functionplotrules;
 1184:   undef @Apache::functionplotresponse::functionplotvectorrules;
 1185: # Remember failed rules
 1186:   if ($target eq 'grade') {
 1187:      undef @Apache::functionplotresponse::failedrules;
 1188:   }
 1189: # Delete previous awards
 1190:   undef $Apache::functionplotresponse::awarddetail;
 1191: # Part and ID
 1192:   my $partid=$Apache::inputtags::part;
 1193:   my $id=&Apache::response::start_response($parstack,$safeeval);
 1194: # Internal ID to mark the applet and its coordinates
 1195:   my $internalid = $partid.'_'.$id;
 1196: # Previous answer
 1197:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
 1198: 
 1199: # Parameters of <functionplotresponse>
 1200:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
 1201:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1202:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1203:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1204:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
 1205:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
 1206:   if ($target eq 'edit') {
 1207:     $result.=&Apache::edit::start_table($token)
 1208:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
 1209:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1210:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1211:        .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1212:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
 1213:        .'</span></td>'
 1214:        ."<td>&nbsp;"
 1215:        .&Apache::edit::end_row()
 1216:        .&Apache::edit::start_spanning_row()
 1217:        ."\n";
 1218:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
 1219:                                      $token,'6').'&nbsp;'.
 1220:              &Apache::edit::text_arg('Minimum x-value:','xmin',
 1221:                                      $token,'4').'&nbsp;'.
 1222:              &Apache::edit::text_arg('Maximum x-value:','xmax',
 1223:                                      $token,'4').'&nbsp;'.
 1224:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
 1225:                                   ['yes','no'],$token).'<br />'.
 1226:              &Apache::edit::text_arg('Label y-axis:','ylabel',
 1227:                                      $token,'6').'&nbsp;'.
 1228:              &Apache::edit::text_arg('Minimum y-value:','ymin',
 1229:                                      $token,'4').'&nbsp;'.
 1230:              &Apache::edit::text_arg('Maximum y-value:','ymax',
 1231:                                      $token,'4').'&nbsp;'.
 1232:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
 1233:                                   ['yes','no'],$token).'<br />'.
 1234:              &Apache::edit::select_arg('Grid visible:','gridvisible',
 1235:                                   ['yes','no'],$token).'<br />'.
 1236:              &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
 1237:                                          'answerdisplay',$token,'50').
 1238:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
 1239:   } elsif ($target eq 'modified') {
 1240:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
 1241:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
 1242:                                                            'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
 1243:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
 1244: 
 1245:   } elsif ($target eq 'meta') {
 1246:        $result=&Apache::response::meta_package_write('functionplotresponse');
 1247:   } elsif (($target eq 'answer') &&
 1248:             ($env{'form.answer_output_mode'} ne 'tex') &&
 1249:             ($Apache::lonhomework::viewgrades == 'F')) {
 1250:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
 1251:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
 1252:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
 1253:                                                {'only_body' => 1,
 1254:                                                 'bgcolor'   => '#FFFFFF',
 1255:                                                 'js_ready'  => 1,});
 1256:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
 1257:       $uname =~s/\W//g;
 1258:       $udom  =~s/\W//g;
 1259:       my $function_name =
 1260:                 join('_','LONCAPA_scriptvars',$uname,$udom,
 1261:                      $env{'form.counter'},$Apache::lonxml::curdepth);
 1262:       my $rules_var ="<script type=\"text/javascript\">
 1263: // <![CDATA[
 1264:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
 1265:     $Apache::functionplotresponse::ruleslog.
 1266:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
 1267: // ]]>
 1268: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
 1269:             &Apache::lonxml::add_script_result($rules_var);
 1270:         }
 1271: 
 1272:   return $result;
 1273: }
 1274: 
 1275: sub compare_rel {
 1276:    my ($relationship,$value,$realval,$tol)=@_;
 1277: # is the real value undefined?
 1278:    unless (defined($realval)) {
 1279: # the real value is not defined
 1280:       if ($relationship eq 'eq') {
 1281:          if ($value eq 'undef') {
 1282:             return 1;
 1283:          } else {
 1284:             return 0;
 1285:          }
 1286:       } elsif ($relationship eq 'ne') {
 1287:          if ($value eq 'undef') {
 1288:             return 0;
 1289:          } else {
 1290:             return 1;
 1291:          }
 1292:       } else {
 1293:          return 0;
 1294:       }
 1295:    }
 1296: 
 1297: # is the expected value undefined?
 1298:    if ($value eq 'undef') {
 1299: # but by now we know that the real value is defined
 1300:       return 0;
 1301:    }
 1302: 
 1303: # both are defined.
 1304:    if ($relationship eq 'gt') {
 1305:       return ($realval>$value);
 1306:    } elsif ($relationship eq 'ge') {
 1307:       return ($realval>$value-$tol);
 1308:    } elsif ($relationship eq 'lt') {
 1309:       return ($realval<$value);
 1310:    } elsif ($relationship eq 'le') {
 1311:       return ($realval<$value+$tol);
 1312:    } elsif ($relationship eq 'ne') {
 1313:       return (abs($value-$realval)>$tol);
 1314:    } else {
 1315:       return (abs($value-$realval)<$tol);
 1316:    }
 1317:    return 0;
 1318: }
 1319: 
 1320: sub addlog {
 1321:    my ($text)=@_;
 1322:    $text=~s/\'/\\\'/g;
 1323:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
 1324: }
 1325: 
 1326: sub actualval {
 1327:    my ($i,$xmin,$xmax)=@_;
 1328:    return $xmin+$i/400.*($xmax-$xmin);
 1329: }
 1330: 
 1331: sub fpr_val {
 1332:    my ($arg)=@_;
 1333:    return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
 1334:                      $Apache::functionplotresponse::fpr_xmin,
 1335:                      $Apache::functionplotresponse::fpr_xmax);
 1336: }
 1337: 
 1338: sub fpr_f {
 1339:    my ($arg)=@_;
 1340:    return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
 1341:                                                            $Apache::functionplotresponse::fpr_xmax,
 1342:                                                            $arg)];
 1343: }
 1344: 
 1345: sub fpr_dfdx {
 1346:    my ($arg)=@_;
 1347:    return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
 1348:                                                               $Apache::functionplotresponse::fpr_xmax,
 1349:                                                               $arg)];
 1350: }
 1351: 
 1352: sub fpr_d2fdx2 {
 1353:    my ($arg)=@_;
 1354:    return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
 1355:                                                                 $Apache::functionplotresponse::fpr_xmax,
 1356:                                                                 $arg)];
 1357: }
 1358: 
 1359: 
 1360: sub vectorcoords {
 1361:    my ($id,$label)=@_;
 1362:    return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'},
 1363:            $env{'form.HWVAL_'.$id.'_'.$label.'End_x'},
 1364:            $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'},
 1365:            $env{'form.HWVAL_'.$id.'_'.$label.'End_y'});
 1366: }
 1367: 
 1368: sub objectcoords {
 1369:    my ($id,$label)=@_;
 1370:    return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'},
 1371:            $env{'form.HWVAL_'.$id.'_'.$label.'_y'});
 1372: }
 1373: 
 1374: sub attached {
 1375:    my ($id,$vector,$object,$xmin,$xmax,$ymin,$ymax)=@_;
 1376:    my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector);
 1377:    my ($xo,$yo)=&objectcoords($id,$object);
 1378:    my $tolx=($xmax-$xmin)/100.;
 1379:    my $toly=($ymax-$ymin)/100.;
 1380:    my $tail=0;
 1381:    my $tip=0;
 1382:    &addlog("Proximity $vector ($xs,$xe,$ys,$ye) to $object ($xo,$yo)");
 1383:    if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) { $tail=1; }
 1384:    if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) { $tip=1; }
 1385:    &addlog("Result tail:$tail tip:$tip");
 1386:    return($tail,$tip);
 1387: }
 1388: 
 1389:  
 1390: sub vectorangle {
 1391:    my ($x,$y)=@_;
 1392:    my $angle=57.2957795*atan2($y,$x);
 1393:    if ($angle<0) { $angle=360+$angle; }
 1394:    return $angle;
 1395: }
 1396: 
 1397: sub vectorlength {
 1398:    my ($x,$y)=@_;
 1399:    return sqrt($x*$x+$y*$y);
 1400: }
 1401: 
 1402: sub relvector {
 1403:    my ($xs,$xe,$ys,$ye)=@_;
 1404:    return ($xe-$xs,$ye-$ys);
 1405: }
 1406: 
 1407: sub plotvectorlength {
 1408:    return &vectorlength(&relvector(&vectorcoords(@_)));
 1409: }
 1410: 
 1411: sub plotvectorangle {
 1412:    return &vectorangle(&relvector(&vectorcoords(@_)));
 1413: }
 1414: 
 1415: 
 1416: #
 1417: # Evaluate a functionplotvectorrule
 1418: #
 1419: 
 1420: sub functionplotvectorrulecheck {
 1421:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1422:    &addlog("=================");
 1423:    my ($label,$type)=split(/\:/,$rule);
 1424:    if ($type eq 'vector') {
 1425:       return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
 1426:    } elsif ($type eq 'sum') {
 1427:       return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
 1428:    }
 1429: }
 1430: 
 1431: sub vectorcheck {
 1432:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1433:    my ($label,$type,$id,$vector,
 1434:        $attachpoint,$notattachpoint,
 1435:        $tailpoint,$tippoint,$nottailpoint,$nottippoint,
 1436:        $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
 1437:    &addlog("Vector Rule $label for vector ".$vector);
 1438:    if ($length ne '') {
 1439:       &addlog("Checking for length $length with error $lengtherror");
 1440:       $length=&Apache::run::run($length,$safeeval);
 1441:       &addlog("Length evaluated to $length");
 1442:       my $thislength=&plotvectorlength($id,$vector);
 1443:       &addlog("Found length $thislength");
 1444:       if (abs($thislength-$length)>$lengtherror) {
 1445:          &setfailed($label);
 1446:          return 0;
 1447:       }
 1448:    }
 1449:    if ($angle ne '') {
 1450:       &addlog("Checking for angle $angle with error $angleerror");
 1451:       $angle=&Apache::run::run($angle,$safeeval);
 1452:       &addlog("Angle evaluated to $angle");
 1453:       my $thisangle=&plotvectorangle($id,$vector);
 1454:       &addlog("Found angle $thisangle");
 1455:       my $anglediff=abs($thisangle-$angle);
 1456:       &addlog("Angle difference: $anglediff");
 1457:       if ($anglediff>360.-$anglediff) {
 1458:          $anglediff=360.-$anglediff;
 1459:       }
 1460:       &addlog("Smallest angle difference: $anglediff");
 1461:       if ($anglediff>$angleerror) {
 1462:          &setfailed($label);
 1463:          return 0;
 1464:       }
 1465:    }
 1466:    if ($attachpoint ne '') {
 1467:       &addlog("Checking attached: ".$attachpoint);
 1468:       my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax);
 1469:       unless ($tail || $tip) {
 1470:          &setfailed($label);
 1471:          return 0;
 1472:       }
 1473:    }
 1474:    if ($notattachpoint ne '') {
 1475:       &addlog("Checking not attached: ".$notattachpoint);
 1476:       my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax);
 1477:       if ($tail || $tip) {
 1478:          &setfailed($label);
 1479:          return 0;
 1480:       }
 1481:    }
 1482:    if ($tailpoint ne '') {
 1483:       &addlog("Checking tail: ".$tailpoint);
 1484:       my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax);
 1485:       unless ($tail) {
 1486:          &setfailed($label);
 1487:          return 0;
 1488:       }
 1489:    }
 1490:    if ($nottailpoint ne '') {
 1491:       &addlog("Checking not tail: ".$nottailpoint);
 1492:       my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax);
 1493:       if ($tail) {
 1494:          &setfailed($label);
 1495:          return 0;
 1496:       }
 1497:    }
 1498:    if ($tippoint ne '') {
 1499:       &addlog("Checking tip: ".$tippoint);
 1500:       my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax);
 1501:       unless ($tip) {
 1502:          &setfailed($label);
 1503:          return 0;
 1504:       }
 1505:    }
 1506:    if ($nottippoint ne '') {
 1507:       &addlog("Checking not tip: ".$nottippoint);
 1508:       my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax);
 1509:       if ($tip) {
 1510:          &setfailed($label);
 1511:          return 0;
 1512:       }
 1513:    }
 1514: 
 1515:    &addlog("Rule $label passed.");
 1516:    return 1;
 1517: }
 1518: 
 1519: sub sumcheck {
 1520:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1521:    my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
 1522:    &addlog("Vector Sum Rule $label for vectors ".$vectors);
 1523:    my $sumx=0;
 1524:    my $sumy=0;
 1525:    foreach my $sv (split(/\s*\,\s*/,$vectors)) {
 1526:       my ($rx,$ry)=&relvector(&vectorcoords($id,$sv));
 1527:       $sumx+=$rx;
 1528:       $sumy+=$ry;
 1529:    }
 1530:    &addlog("Sum vector ($sumx,$sumy)");
 1531:    if ($length ne '') {
 1532:       &addlog("Checking length $length with error $lengtherror");
 1533:       $length=&Apache::run::run($length,$safeeval);
 1534:       &addlog("Evaluated to $length");
 1535:       my $thislength=&vectorlength($sumx,$sumy);
 1536:       &addlog("Actual length $thislength");
 1537:       if (abs($length-$thislength)>$lengtherror) {
 1538:                   &setfailed($label);
 1539:          return 0;
 1540:       }
 1541:    }
 1542:    if ($angle ne '') {
 1543:       &addlog("Checking angle $angle with error $angleerror");
 1544:       $angle=&Apache::run::run($angle,$safeeval);
 1545:       &addlog("Evaluated to $angle");
 1546:       my $thisangle=&vectorangle($sumx,$sumy);
 1547:       &addlog("Actual angle $thisangle");
 1548:       my $anglediff=abs($thisangle-$angle);
 1549:       &addlog("Angle difference: $anglediff");
 1550:       if ($anglediff>360.-$anglediff) {
 1551:          $anglediff=360.-$anglediff;
 1552:       }
 1553:       &addlog("Smallest angle difference: $anglediff");
 1554:       if ($anglediff>$angleerror) {
 1555:          &setfailed($label);
 1556:          return 0;
 1557:       }
 1558:    }
 1559:    &addlog("Rule $label passed.");
 1560:    return 1;
 1561: }
 1562: 
 1563: #
 1564: # Evaluate a functionplotrule
 1565: #
 1566:  
 1567: sub functionplotrulecheck {
 1568:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1569: 
 1570:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
 1571:       =split(/\:/,$rule);
 1572:    $percent=($percent>0?$percent:5);
 1573:    &addlog("=================");
 1574:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
 1575: #
 1576: # Evaluate the value
 1577: #
 1578:    if ($value=~/\D/) {
 1579:       $Apache::functionplotresponse::fpr_xmin=$xmin;
 1580:       $Apache::functionplotresponse::fpr_xmax=$xmax;
 1581:       $value=&Apache::run::run($value,$safeeval);
 1582:       &addlog("Value evaluated to $value");
 1583:    }
 1584: 
 1585: #
 1586: # Minimum and maximum lengths of the interval
 1587: #
 1588:    if ((defined($minimumlength)) || (defined($maximumlength))) {
 1589:       &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
 1590:    }
 1591:    my $li=0;
 1592:    my $lh=400;
 1593: 
 1594: # Special case: the upper boundary was not defined
 1595: # and needs to be set to the value where
 1596: # the condition is not true anymore => set flag
 1597: 
 1598:    my $findupper=0;
 1599:    if (($xfinal eq '')
 1600:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
 1601:     && ($xfinallabel)) {
 1602:        $findupper=1;
 1603:    }
 1604: 
 1605: # if a hard value is set for the boundaries, it overrides the label
 1606:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
 1607:       $li=&array_index($xmin,$xmax,$xinitial);
 1608:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
 1609:    }
 1610:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
 1611:       $lh=&array_index($xmin,$xmax,$xfinal);
 1612:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
 1613:    }
 1614: # if the label is defined, use it
 1615:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
 1616:       &addlog("Using lower label $xinitiallabel");
 1617:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
 1618:    } else {
 1619:       $li=&array_index($xmin,$xmax,$xinitial);
 1620:    }
 1621:    unless ($findupper) {
 1622:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
 1623:          &addlog("Using upper label $xfinallabel");
 1624:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
 1625:       } else {
 1626:          $lh=&array_index($xmin,$xmax,$xfinal);
 1627:       }
 1628:    }
 1629: # Basic sanity checks
 1630:    if ($li<0) { $li=0; }
 1631:    if ($lh>400) { $lh=400; }
 1632:    if (($li>$lh) || (!defined($lh))) {
 1633:        $lh=$li;
 1634:    }
 1635: 
 1636:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
 1637:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
 1638:    if ($findupper) {
 1639:       &addlog("Looking for label $xfinallabel");
 1640:    }
 1641:    my $tol=$percent*($ymax-$ymin)/100;
 1642:    if ($xmax>$xmin) {
 1643:       if ($derivative==2) {
 1644:          $tol=4.*$tol/($xmax-$xmin);
 1645:       } elsif ($derivative==1) {
 1646:          $tol=2.*$tol/($xmax-$xmin);
 1647:       } elsif ($derivative==-1) {
 1648:          $tol=$tol*($xmax-$xmin)/2.;
 1649:       }
 1650:    }
 1651:    my $integral=0;
 1652:    my $binwidth=($xmax-$xmin)/400.;
 1653:    if (($derivative<0) && (!$findupper)) {
 1654: # definite integral, calculate over whole length
 1655:      &addlog("Calculating definite integral");
 1656:      for (my $i=$li; $i<=$lh; $i++) {
 1657:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1658:      }
 1659:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
 1660:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
 1661:         &addlog("Rule $label failed.");
 1662:         &setfailed($label);
 1663:         return 0;
 1664:      } 
 1665:    } else {
 1666:      for (my $i=$li; $i<=$lh; $i++) {
 1667:         my $val;
 1668:         if ($derivative==2) {
 1669:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
 1670:         } elsif ($derivative==1) {
 1671:            $val=$Apache::functionplotresponse::dfuncdx[$i];
 1672:         } elsif ($derivative==-1) {
 1673:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1674:            $val=$integral;      
 1675:         } else {
 1676:            $val=$Apache::functionplotresponse::func[$i];
 1677:         }
 1678:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
 1679:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
 1680:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
 1681:            if (($findupper) && ($i>$li)) {
 1682: # Check lengths
 1683:               unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1684: # Successfully found a new label, set it
 1685:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
 1686:               &addlog("Rule $label passed, setting label $xfinallabel");
 1687:               return 1;
 1688:            } else {
 1689:               &addlog("Rule $label failed.");
 1690:               &setfailed($label);
 1691:               return 0; 
 1692:            }
 1693:         }
 1694:      }
 1695:    }
 1696: # Corner case where this makes sense: using start or stop as defined labels
 1697:    unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1698:    &addlog("Rule $label passed.");
 1699:    return 1;
 1700: }
 1701: 
 1702: #
 1703: # check for minimum and maximum lengths
 1704: #
 1705: 
 1706: sub checklength {
 1707:     my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
 1708:     unless (($minimumlength) || ($maximumlength)) { return 1; }
 1709:     my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
 1710:     if ($minimumlength) {
 1711:        if ($length<$minimumlength) {
 1712:           &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
 1713:           &setfailed($label);
 1714:           return 0;
 1715:        }
 1716:     }
 1717:     if ($maximumlength) {
 1718:        if ($length>$maximumlength) {
 1719:           &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
 1720:           &setfailed($label);
 1721:           return 0;
 1722:        }
 1723:     }
 1724:     return 1;
 1725: }
 1726: 
 1727: sub setfailed {
 1728:    my ($hintlabel)=@_;
 1729:    $hintlabel=~s/^R//;
 1730:    push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1731:    &addlog("Set hint condition $hintlabel");
 1732: }
 1733: 
 1734: sub start_functionplotruleset {
 1735:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1736:    if ($target eq 'edit') {
 1737:       return &Apache::edit::start_table($token).
 1738:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
 1739:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1740:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1741:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1742:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
 1743:        .'</span></td>'
 1744:        ."<td>&nbsp;"
 1745:        .&Apache::edit::end_row()
 1746:        .&Apache::edit::start_spanning_row()
 1747:        ."\n";
 1748:    }
 1749: }
 1750: 
 1751: sub end_functionplotruleset {
 1752:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1753:     my $id=$Apache::inputtags::response[-1];
 1754:     my $partid=$Apache::inputtags::part;
 1755:     my $internalid = $partid.'_'.$id;
 1756: 
 1757:     if ($target eq 'edit' ) {
 1758:         return &Apache::edit::end_table();
 1759:     }  elsif ($target eq 'grade'
 1760:          && &Apache::response::submitted()
 1761:          && $Apache::lonhomework::type ne 'exam') {
 1762: #
 1763: # Actually grade
 1764: #
 1765:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1766: 
 1767:         my $ad='';
 1768:         undef  %Apache::functionplotresponse::functionplotrulelabels;
 1769:         $Apache::functionplotresponse::ruleslog='';
 1770:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
 1771:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
 1772:         if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
 1773:            $ad='NOT_FUNCTION';
 1774:         } else {
 1775:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
 1776:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
 1777:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1778:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1779: 
 1780: # We have a function that we can actually grade, go through the spline rules.
 1781:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1782:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1783:                  $ad='INCORRECT';
 1784:                  last;
 1785:               }
 1786:            }
 1787: # And now go through the vector rules
 1788:            foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) {
 1789:               unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1790:                  $ad='INCORRECT';
 1791:                  last;
 1792:               }
 1793:            }
 1794: # If it's not wrong, it's correct 
 1795:            unless ($ad) { $ad='EXACT_ANS' };
 1796:         }
 1797:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1798:         &addlog("Assigned award detail: $ad");
 1799: # Store for later to be assigned at end_functionplotresponse
 1800:         $Apache::functionplotresponse::awarddetail=$ad;
 1801:      }
 1802: }
 1803: 
 1804: 
 1805: sub end_functionplotresponse {
 1806:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1807:   &Apache::response::end_response;
 1808: 
 1809:   my $result;
 1810:   my $id=$Apache::inputtags::response[-1];
 1811:   my $partid=$Apache::inputtags::part;
 1812:   my $internalid = $partid.'_'.$id;
 1813: 
 1814:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 1815:     if ($target eq 'grade'
 1816:          && &Apache::response::submitted()
 1817:          && $Apache::lonhomework::type eq 'exam') {
 1818: 
 1819:         &Apache::response::scored_response($partid,$id);
 1820: 
 1821:     } elsif ($target eq 'grade'
 1822:          && &Apache::response::submitted()
 1823:          && $Apache::lonhomework::type ne 'exam') {
 1824:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 1825:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 1826:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 1827: #
 1828: # Assign grade
 1829: #
 1830:         my $ad=$Apache::functionplotresponse::awarddetail;
 1831: #
 1832: # Store grading info
 1833: #
 1834:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 1835:         &Apache::response::handle_previous(\%previous,$ad);
 1836:    } elsif ($target eq 'web') {
 1837:         undef @Apache::functionplotresponse::failedrules;
 1838:    }
 1839:    return $result;
 1840: }
 1841: 
 1842: sub end_functionplotelements {
 1843:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1844:   my $result='';
 1845:   my $id=$Apache::inputtags::response[-1];
 1846:   my $partid=$Apache::inputtags::part;
 1847:   my $internalid = $partid.'_'.$id;
 1848:   if ($target eq 'edit' ) {
 1849:      $result=&Apache::edit::end_table();
 1850:   } elsif ($target eq 'web') {
 1851:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1852: 
 1853: # Are we in show answer mode?
 1854:      my $showanswer=&Apache::response::show_answer();
 1855:      if ($showanswer) {
 1856: # Render answerdisplay
 1857:         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
 1858:         if ($answerdisplay=~/\S/s) {
 1859:            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
 1860:               my @components=split(/\s*\:\s*/,$plot);
 1861:               if ($#components<3) {
 1862: # Just a simple plot
 1863:                  my ($func,$xl,$xh)=@components;
 1864:                  if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
 1865:                  if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
 1866:                  $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
 1867:               } else {
 1868: # This is a spline
 1869:                  $result.=&answer_spline_script($internalid,@components);
 1870:               }
 1871:            }
 1872:         }
 1873:      }
 1874:      my $fixed=0;
 1875:      if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
 1876: # Now is the time to render all of the stored splines
 1877:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1878:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
 1879:      }
 1880: # close the init script
 1881:      $result.=&end_init_script();
 1882: # register all splines in this response 
 1883:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 1884:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 1885:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1886:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 1887:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 1888:      }
 1889: # generate the input fields
 1890:      $result.=$Apache::functionplotresponse::inputfields;
 1891: # actually start the <applet>-tag
 1892:      $result.=&geogebra_startcode($internalid);
 1893: # load the spline bytecode
 1894:      $result.=&geogebra_spline_program();
 1895: # set default parameters
 1896:      $result.=&geogebra_default_parameters($internalid);
 1897: # close the <applet>-tag
 1898:      $result.=&geogebra_endcode();
 1899:   }
 1900:   return $result;
 1901: }
 1902: 
 1903: sub boundaries {
 1904:    my ($parstack,$safeeval,$level)=@_;
 1905:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
 1906:    $xmin=(defined($xmin)?$xmin:-10);
 1907:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
 1908:    $xmax=(defined($xmax)?$xmax:10);
 1909:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
 1910:    $ymin=(defined($ymin)?$ymin:-10);
 1911:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
 1912:    $ymax=(defined($ymax)?$ymax:10);
 1913:    if ($xmax<=$xmin) {
 1914:       $xmax=$xmin+20;
 1915:    }
 1916:    if ($ymax<=$ymin) {
 1917:       $ymax=$ymin+20;
 1918:    }
 1919:    return ($xmin,$xmax,$ymin,$ymax);
 1920: }
 1921: 
 1922: sub start_functionplotelements {
 1923:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1924:    my $result='';
 1925:    my $id=$Apache::inputtags::response[-1];
 1926:    my $partid=$Apache::inputtags::part;
 1927:    my $internalid = $partid.'_'.$id;
 1928: 
 1929:    if ($target eq 'edit') {
 1930:       return &Apache::edit::start_table($token).
 1931:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 1932:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1933:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1934:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1935:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
 1936:        .'</span></td>'
 1937:        ."<td>&nbsp;"
 1938:        .&Apache::edit::end_row()
 1939:        .&Apache::edit::start_spanning_row()
 1940:        ."\n";
 1941:    } elsif ($target eq 'web') {
 1942:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1943:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1944:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1945:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1946:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 1947:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 1948: 
 1949: 
 1950: # paste in the update routine to receive stuff back from the applet
 1951:      $result.=&update_script($internalid);
 1952: # start the initscript for this applet
 1953:      $result.=&start_init_script($internalid);
 1954: # put the axis commands inside
 1955:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 1956:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
 1957: # init script is left open
 1958:   }
 1959:   return $result;
 1960: }
 1961: 
 1962: 1;
 1963: 
 1964: __END__
 1965:  
 1966: =head1 NAME
 1967: 
 1968: Apache::functionplotresponse.pm;
 1969: 
 1970: =head1 SYNOPSIS
 1971: 
 1972: Handles tags associated with accepting function plots.
 1973: 
 1974: This is part of the LearningOnline Network with CAPA project
 1975: described at http://www.lon-capa.org.
 1976: 
 1977: =head1 HANDLER SUBROUTINE
 1978: 
 1979: start_functionplotresponse()
 1980: 
 1981: =head1 OTHER SUBROUTINES
 1982: 
 1983: =over
 1984: 
 1985: =item end_functionplotresponse()
 1986: 
 1987: =back
 1988: 
 1989: =cut

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