File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.95: download - view: text, annotated - select for diffs
Wed Feb 29 01:46:52 2012 UTC (12 years, 3 months ago) by www
Branches: MAIN
CVS tags: loncapaMITrelate_1, HEAD
Add some robustness: give warning if labels are used multiple times or before being defined.

    1: # LearningOnline Network with CAPA
    2: # Functionplot responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.95 2012/02/29 01:46:52 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: use LONCAPA;
   36:  
   37: BEGIN {
   38:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
   39:                                                             'plotobject','plotvector',
   40:                                                             'functionplotvectorrule','functionplotvectorsumrule',
   41:                                                             'drawvectorsum',
   42:                                                             'functionplotcustomrule',
   43:                                                             'functionplotrule','functionplotruleset',
   44:                                                             'functionplotelements'));
   45: }
   46: 
   47: #
   48: # There can be a number of applets on a page, each called ggbApplet_$id, 
   49: # where $id is the "_"-concatenated part and responseid
   50: #
   51: 
   52: sub geogebra_startcode {
   53:     my ($id,$width,$height)=@_;
   54:     $width=int(1.*$width);
   55:     $height=int(1.*$height);
   56:     unless ($width) { $width=700; }
   57:     unless ($height) { $height=400; }
   58:     return (<<ENDSTARTCODE);
   59: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   60:          codebase="/adm/geogebra/"  width="$width" height="$height" MAYSCRIPT>
   61:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   62: ENDSTARTCODE
   63: }
   64: 
   65: sub geogebra_endcode {
   66:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   67: }
   68: 
   69: #
   70: # This is the internal GeoGebra bytecode which defines the spline functions
   71: #
   72: sub geogebra_spline_program {
   73:     return (<<ENDSPLINEPROGRAM);
   74: <param name="ggbBase64" value="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"/>
   75: ENDSPLINEPROGRAM
   76: }
   77: 
   78: #
   79: # The standard set of parameters inside <applet>
   80: #
   81: sub geogebra_default_parameters {
   82:    my ($id)=@_;
   83:    return(<<ENDDEFAULTPARAMETERS);
   84:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   85:         <param name="boxborder" value="false"  />
   86:         <param name="centerimage" value="true"  />
   87: 	<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_algos.jar, geogebra_javascript.jar, geogebra_properties.jar, jlatexmath.jar, jlm_cyrillic.jar, jlm_greek.jar" />
   88: 	<param name="cache_version" value="4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0" />
   89:         <param name="framePossible" value="false" />
   90: 
   91:         <param name="showResetIcon" value="false" />
   92:         <param name="showAnimationButton" value="false" />
   93:         <param name="enableRightClick" value="false" />
   94:         <param name="errorDialogsActive" value="true" />
   95:         <param name="enableLabelDrags" value="false" />
   96:         <param name="showMenuBar" value="false" />
   97:         <param name="showToolBar" value="false" />
   98:         <param name="showToolBarHelp" value="false" />
   99:         <param name="showAlgebraInput" value="false" />
  100:         <param name="enableShiftDragZoom" value="false" />
  101:         <param name="allowRescaling" value="false" />
  102:         <param name="enableLabelDrags" value="false" />
  103:         <param name="ggbOnInitParam" value="applet_$id" />
  104: ENDDEFAULTPARAMETERS
  105: }
  106: 
  107: #
  108: # This subroutine is called by LON-CAPA at </problem>
  109: # Each applet on the page will call function ggbOnInit when it is done loading
  110: # This function in turn will call the respective function registered by start_init_script
  111: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  112: #
  113: 
  114: sub init_script {
  115:    if ($#Apache::functionplotresponse::callscripts>=0) {
  116:       my $script='';
  117:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  118:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  119:       }
  120:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  121:                ") { setTimeout('ggbInitAll()',200) }";
  122:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  123:       return (<<ENDGGBINIT);
  124: <script type="text/javascript">
  125: // <![CDATA[
  126: // Function that each applet will call when loaded
  127: // It will pass "its" parameter
  128: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  129: function ggbOnInit(param) {
  130: $script
  131: }
  132: function ggbInitAll() {
  133: $calls
  134: }
  135: // ]]>
  136: </script>
  137: ENDGGBINIT
  138:    }
  139: }
  140: 
  141: #
  142: # Each Geogebra applet is supposed to call this when parameters change
  143: # Changes the hidden fields on the web page
  144: #
  145: sub update_script {
  146:     my ($id)=@_;
  147:     return (<<ENDUPDATESCRIPT);
  148: <script type="text/javascript">
  149: // <![CDATA[
  150: function updatePointCoordinates_$id(coordinateName) {
  151:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  152:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  153:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  154:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  155:         }
  156: // ]]>
  157: </script>
  158: ENDUPDATESCRIPT
  159: }
  160: 
  161: #
  162: # Register the above update-handler for a variable
  163: #
  164: 
  165: sub update_register {
  166:    my ($id,$variable)=@_;
  167:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  168: }
  169: 
  170: #
  171: # Set a point coordinate variable
  172: #
  173: sub set_point_coordinate {
  174:    my ($id,$variable,$x,$y,$fixed)=@_;
  175:    my $mult=($fixed?'a*':'');
  176: # Get rid of wild exponents, make sure it's a number
  177:    $x=1.*$x;
  178:    $y=1.*$y;
  179: # GeoGebra does not understand "E"
  180:    $x=~s/[e|E]/\*10\^/;
  181:    $x=~s/\+//;
  182:    $y=~s/[e|E]/\*10\^/;
  183:    $y=~s/\+//;
  184:    return (<<ENDSETVARIABLE);
  185: document.ggbApplet_$id.evalCommand("a=1");
  186: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
  187: document.ggbApplet_$id.setLabelVisible("$variable",false);
  188: ENDSETVARIABLE
  189: }
  190: 
  191: #
  192: # Set a slope coordinate variable
  193: #
  194: sub set_slope_coordinate {
  195:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
  196:    my $xvariable=$variable.'x';
  197:    my $yvariable=$variable.'y';
  198:    my $domain=$xmax-$xmin;
  199:    my $range=$ymax-$ymin;
  200:    my $xinterval=$domain/100.;
  201:    my $yinterval=$range/200.;
  202:    my $mult=($fixed?'a*':'');
  203:    return (<<ENDSETSVARIABLE);
  204: document.ggbApplet_$id.evalCommand("a=1");
  205: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
  206: document.ggbApplet_$id.setVisible("$xvariable", false);
  207: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
  208: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
  209: document.ggbApplet_$id.setVisible("$yvariable", false);
  210: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
  211: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
  212: document.ggbApplet_$id.setLabelVisible("$variable", false);
  213: ENDSETSVARIABLE
  214: }
  215: 
  216: #
  217: # Input field name for a coordinate variable
  218: #
  219: 
  220: sub field_name {
  221:     my ($id,$variable,$name)=@_;
  222:     return "HWVAL_$id\_$variable\_$name";
  223: }
  224: 
  225: #
  226: # Generate an input field for a coordinate variable
  227: #
  228: 
  229: sub generate_input_field {
  230:     my ($id,$variable,$x,$y)=@_;
  231:     $Apache::functionplotresponse::inputfields.=
  232:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  233:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  234: }
  235: 
  236: #
  237: # Initialize a new point coordinate variable at set a listener on it
  238: #
  239: sub new_point_coordinate {
  240:     my ($id,$variable,$x,$y,$fixed)=@_;
  241:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  242:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  243:     }
  244:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  245:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  246:     }
  247:     &generate_input_field($id,$variable,$x,$y);
  248:     return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
  249: }
  250: 
  251: #
  252: # Initialize a new slope coordinate variable at set a listener on it
  253: #
  254: sub new_slope_coordinate {
  255:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  256: #
  257: # $variable: name of the slope point
  258: # $x, $y: coordinates of the slope point
  259: # $pointname: name of the associated point point
  260: # $xp $yp: coordinates of the point point
  261: #
  262:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  263:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  264:     }
  265:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  266:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  267:     }
  268:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
  269:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
  270:     }
  271:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
  272:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
  273:     }
  274: 
  275:     &generate_input_field($id,$variable,$x,$y);
  276:     my $xrel=$x-$xp;
  277:     my $yrel=$y-$yp;
  278:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
  279: }
  280: 
  281: #
  282: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  283: # It then starts the right headers
  284: #
  285: sub start_init_script {
  286:     my ($id)=@_;
  287: # Add id to the list of ggbInit_$id functions that need to be called
  288:     push(@Apache::functionplotresponse::callscripts,$id);
  289: # ... and open this function
  290:     return (<<ENDSTARTINIT);
  291: <script type="text/javascript">
  292: // <![CDATA[
  293: // variable that will eventually be passed back to the server
  294: var coordinateMap_$id = [];
  295: // flag for not loaded yet
  296: var loaded_$id=false;
  297: // Init-function for applet
  298: function ggbInit_$id() {
  299: ENDSTARTINIT
  300: }
  301: 
  302: #
  303: # This sets the axes inside ggbInit_$id
  304: #
  305: 
  306: sub axes_script {
  307:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  308:     return (<<ENDAXESSCRIPT);
  309:             // changes (xmin, xmax, ymin, ymax)
  310:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  311: 
  312:             // makes the (x,y) axis (in)visible
  313:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  314:             // makes the grid (in)visible
  315:             document.ggbApplet_$id.setGridVisible($gvisible);
  316: ENDAXESSCRIPT
  317: }
  318: 
  319: sub axes_label {
  320:     my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
  321:     unless ($xlabel || $ylabel) { return ''; }
  322:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  323:     if ($xlabel) {
  324:       if (($ymin<0) && ($ymax>0)) {
  325:        $return.=(<<ENDXAXISLABELSCRIPT);
  326: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  327: document.ggbApplet_$id.setVisible("Xlabel",false);
  328: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  329: ENDXAXISLABELSCRIPT
  330:       } else {
  331:        $return.=(<<ENDXOFFAXISLABEL);
  332: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
  333: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
  334: ENDXOFFAXISLABEL
  335:       }
  336:     }
  337:     if ($ylabel) {
  338:       if (($xmin<0) && ($xmax>0)) {
  339:        $return.=(<<ENDYAXISLABELSCRIPT);
  340: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  341: document.ggbApplet_$id.setVisible("Ylabel",false);
  342: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  343: ENDYAXISLABELSCRIPT
  344:       } else {
  345:        $return.=(<<ENDYOFFAXISLABEL);
  346: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
  347: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
  348: ENDYOFFAXISLABEL
  349:       }
  350:     }
  351:     return $return;
  352: }
  353: 
  354: #
  355: # Subroutine to produce background and answer plots
  356: #
  357: 
  358: sub plot_script {
  359:    my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
  360:    $label=~s/\W//g;
  361:    if (($label) && ($label!~/^[A-Za-z]/)) {
  362:       $label='C'.$label;
  363:    }
  364:    my $visible=0;
  365:    if ($label) {
  366:       $visible="1";
  367:    } else {
  368:       $Apache::functionplotresponse::counter++;
  369:       $label='C'.$Apache::functionplotresponse::counter;
  370:    }
  371:    my $rc=0;
  372:    my $gc=0;
  373:    my $bc=0;
  374:    if ($color) {
  375:       my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
  376:       $rc=hex($rh);
  377:       $gc=hex($gh);
  378:       $bc=hex($bh);
  379:    }
  380:    if ($fixed) {
  381:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
  382:              ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
  383:              ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
  384:              ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
  385:    } else {
  386:        return "document.ggbApplet_$id.evalCommand('y=$function');\n";
  387:    }
  388: }
  389: 
  390: #
  391: # Subroutine to produce objects
  392: #
  393: 
  394: sub plotobject_script {
  395:    my ($id,$label,$x,$y)=@_;
  396:    unless ($label) {
  397:       $Apache::functionplotresponse::counter++;
  398:       $label='O'.$Apache::functionplotresponse::counter;
  399:    }
  400:    &generate_input_field($id,$label,$x,$y);
  401:    return "document.ggbApplet_$id.evalCommand('a=1');\n".
  402:           "document.ggbApplet_$id.setVisible('a', false);\n".
  403:           "document.ggbApplet_$id.setLabelVisible('a', false);\n".
  404:           "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n".
  405:           "document.ggbApplet_$id.setVisible('$label', true);\n".
  406:           "document.ggbApplet_$id.setLabelVisible('$label', true);\n";
  407: }
  408: 
  409: #
  410: # Subroutine to produce vectors
  411: #
  412: 
  413: sub plotvector_script {
  414:    my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax,$fixed)=@_;
  415:    unless ($label) {
  416:       $Apache::functionplotresponse::counter++;
  417:       $label='V'.$Apache::functionplotresponse::counter;
  418:    }
  419:    my $startlabel=$label.'Start';
  420:    my $endlabel=$label.'End';
  421:    my $pointlabel=$label.'Point';
  422:    my $pointx=2.*($xmax-$xmin)+$xmax;
  423:    my $anglelabel=$label.'Angle';
  424:    return 
  425:        &new_point_coordinate($id,$startlabel,$xs,$ys,$fixed).
  426:        &new_point_coordinate($id,$endlabel,$xe,$ye,$fixed).
  427:        (<<ENDVECTOR);
  428: document.ggbApplet_$id.evalCommand("$label=Vector[$startlabel,$endlabel]");
  429: document.ggbApplet_$id.setLabelVisible("$label",true);
  430: document.ggbApplet_$id.setLineThickness("$label",8);
  431: document.ggbApplet_$id.evalCommand("$pointlabel=($pointx,y($startlabel))");
  432: document.ggbApplet_$id.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
  433: document.ggbApplet_$id.setLabelVisible("$anglelabel",true);
  434: document.ggbApplet_$id.setLabelStyle("$anglelabel",VALUE=2);
  435: ENDVECTOR
  436: }
  437: 
  438: #
  439: # Answer spline display
  440: # 
  441: # points: x,y,slope_x,slope_y
  442: 
  443: sub answer_spline_script {
  444:    my ($id,@points)=@_;
  445:    my $order=int(($#points+1)/4);
  446:    if ($order<2) { $order=2; }
  447:    if ($order>8) { $order=8; }
  448:    $Apache::functionplotresponse::counter++;
  449:    my $label='CSpline'.$Apache::functionplotresponse::counter;
  450:    my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
  451:    for (my $i=0;$i<=$#points;$i+=4) {
  452:       $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
  453:    }
  454:    $output=~s/\,$//;
  455:    $output.=']");'."\n";
  456:    for (my $i=2; $i<2*$order; $i+=2) {
  457:        $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
  458:    }
  459:    for (my $i=1; $i<2*$order; $i+=2) {
  460:        $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
  461:    }
  462: 
  463:    return $output;
  464: }
  465: 
  466: #
  467: # Subroutine that generates code for spline $label based on stored information
  468: #
  469: 
  470: sub generate_spline {
  471:    my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  472:    my $result='';
  473:    my $order=$Apache::functionplotresponse::splineorder{$label};
  474:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  475:    my $y=$Apache::functionplotresponse::splineinity{$label};
  476:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  477:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  478:    my @coords=();
  479:    foreach my $i (1..$order) {
  480:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
  481:        my $xp=$x;
  482:        $x+=$sx/(2.*($order-1));
  483:        push(@coords,$label.'P'.$i);
  484:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
  485:        $x+=$sx/(2.*($order-1));
  486:        push(@coords,$label.'S'.$i);
  487:    }
  488:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  489:    return $result;
  490: }
  491: 
  492: #
  493: # Object
  494: #
  495: 
  496: sub start_plotobject {
  497:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  498:    my $result='';
  499:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  500:    my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
  501:    my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
  502:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  503:    $label=~s/\W//gs;
  504:    $label=ucfirst($label);
  505:    unless ($label) { $label="NewObject"; }
  506:    if ($target eq 'web') {
  507:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  508:       unless (defined($x)) { $x=$xmin; }
  509:       unless (defined($y)) { $y=$ymin; }
  510:       $result.=&plotobject_script($internalid,$label,$x,$y);
  511:    } elsif ($target eq 'edit') {
  512:         $result=&Apache::edit::tag_start($target,$token,'Plot Object').
  513:              &Apache::edit::text_arg('Label on Plot:','label',
  514:                                      $token,'16').
  515:              &Apache::edit::text_arg('x:','x',
  516:                                      $token,'8').
  517:              &Apache::edit::text_arg('y:','y',
  518:                                      $token,'8').
  519:              &Apache::edit::end_row();
  520:   } elsif ($target eq 'modified') {
  521:     $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
  522:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
  523:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  524:   }
  525:   return $result;
  526: }
  527: 
  528: sub end_plotobject {
  529:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  530:    my $result='';
  531:    if ($target eq 'edit') {
  532:        $result=&Apache::edit::end_table();
  533:    }
  534:    return $result;
  535: }
  536: 
  537: #
  538: # Vector
  539: #
  540: 
  541: sub start_plotvector {
  542:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  543:    my $result='';
  544:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  545:    my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
  546:    my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
  547:    my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
  548:    my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
  549: 
  550:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  551:    $label=~s/\W//gs;
  552:    $label=ucfirst($label);
  553:    unless ($label) { $label="NewVector"; }
  554:    if ($Apache::functionplotresponse::vectorlabels{$label}) {
  555:        &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label));
  556:    }
  557:    $Apache::functionplotresponse::vectorlabels{$label}=1;
  558:    if ($target eq 'web') {
  559:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  560:       unless (defined($tailx)) { $tailx=$xmin; }
  561:       unless (defined($taily)) { $taily=$ymin; }
  562:       unless (defined($tipx)) { $tipx=$xmin; }
  563:       unless (defined($tipy)) { $tipy=$ymin; }
  564:       my $fixed=0;
  565:       if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; }
  566:       $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed);
  567:    } elsif ($target eq 'edit') {
  568:         $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
  569:              &Apache::edit::text_arg('Label on Plot:','label',
  570:                                      $token,'16').
  571:              &Apache::edit::text_arg('Tail x:','tailx',
  572:                                      $token,'8').
  573:              &Apache::edit::text_arg('Tail y:','taily',
  574:                                      $token,'8').
  575:              &Apache::edit::text_arg('Tip x:','tipx',
  576:                                      $token,'8').
  577:              &Apache::edit::text_arg('Tip y:','tipy',
  578:                                      $token,'8').
  579: 
  580:              &Apache::edit::end_row();
  581:   } elsif ($target eq 'modified') {
  582:     $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
  583:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
  584:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  585:   }
  586:   return $result;
  587: }
  588: 
  589: sub end_plotvector {
  590:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  591:    my $result='';
  592:    if ($target eq 'edit') {
  593:        $result=&Apache::edit::end_table();
  594:    }
  595:    return $result;
  596: }
  597: 
  598: 
  599: #
  600: # Vector sum - have GeoGebra draw a sum of specified vectors to help students draw
  601: #
  602: 
  603: sub start_drawvectorsum {
  604:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  605:     my $result='';
  606:     my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  607:     my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
  608:     my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
  609:     my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval);
  610:     my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval);
  611:     my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  612:     $label=~s/\W//gs;
  613:     $label=ucfirst($label);
  614:     unless ($label) { $label="NewVector"; }
  615:     if ($target eq 'web') {
  616:         my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  617:         unless (defined($tailx)) { $tailx=$xmin; }
  618:         unless (defined($taily)) { $taily=$ymin; }
  619:         unless (defined($vectorlist)) { $vectorlist=''; }
  620:         my @vectors=split(/\,/,$vectorlist);
  621:         if ($#vectors>0) {
  622:             my @sumx=();
  623:             my @sumy=();
  624:             foreach my $thisvector (@vectors) {
  625:                 $thisvector=~s/\W//gs;
  626:                 $thisvector=ucfirst($thisvector);
  627:                 unless ($thisvector) { next; }
  628:                 unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) {
  629:                     &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector));
  630:                     next;
  631:                 }
  632:                 my $vectorx=$thisvector.'X';
  633:                 my $vectory=$thisvector.'Y';
  634:                 $result.=(<<ENDADDVEC);
  635: document.ggbApplet_$internalid.evalCommand("$vectorx=x($thisvector)");
  636: document.ggbApplet_$internalid.evalCommand("$vectory=y($thisvector)");
  637: document.ggbApplet_$internalid.evalCommand("Include$thisvector$label=Checkbox[]");
  638: ENDADDVEC
  639:                 push(@sumx,"If[Include$thisvector$label,$vectorx,0]");
  640:                 push(@sumy,"If[Include$thisvector$label,$vectory,0]");
  641:             }
  642:             $result.="document.ggbApplet_$internalid.evalCommand(".'"'."xTot$label=".join('+',@sumx).'");'."\n";
  643:             $result.="document.ggbApplet_$internalid.evalCommand(".'"'."yTot$label=".join('+',@sumy).'");'."\n";
  644:             my $show=0;
  645:             if ($showvalue=~/yes/i) {
  646:                 $show=1;
  647:             }
  648:             $result.=(<<ENDMAKEVECTOR);
  649: document.ggbApplet_$internalid.evalCommand("$label=Vector[($tailx,$taily),($tailx+xTot$label,$taily+yTot$label)]");
  650: document.ggbApplet_$internalid.setLabelVisible("$label",true);
  651: document.ggbApplet_$internalid.setLineThickness("$label",8);
  652: document.ggbApplet_$internalid.setColor("$label",255,0,0);
  653: document.ggbApplet_$internalid.setLabelStyle("$label",VALUE=$show);
  654: ENDMAKEVECTOR
  655:         }
  656:     } elsif ($target eq 'edit') {
  657:         $result=&Apache::edit::tag_start($target,$token,'Draw Vector Sum').
  658:              &Apache::edit::text_arg('Label on Plot:','label',
  659:                                      $token,'16').
  660:              &Apache::edit::text_arg('Tail x:','tailx',
  661:                                      $token,'8').
  662:              &Apache::edit::text_arg('Tail y:','taily',
  663:                                      $token,'8').
  664:              &Apache::edit::select_arg('Show Value:','showvalue',
  665:                                   ['yes','no'],$token).'<br />'.
  666:              &Apache::edit::text_arg('Vector List:','vectorlist',
  667:                                      $token,'40').
  668:              &Apache::edit::end_row();
  669:     } elsif ($target eq 'modified') {
  670:         $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
  671:         my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist');
  672:         if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  673:     }
  674:     return $result;
  675: }
  676: 
  677: 
  678: sub end_drawvectorsum {
  679:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  680:     my $result='';
  681:     if ($target eq 'edit') {
  682:         $result=&Apache::edit::end_table();
  683:     }
  684:     return $result;
  685: }
  686: 
  687: 
  688: 
  689: #
  690: # <backgroundplot function="..." fixed="yes/no" />
  691: #
  692: sub start_backgroundplot {
  693:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  694:    my $result='';
  695:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  696:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  697:    my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
  698:    my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
  699:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  700:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
  701:    $color=~s/[^a-fA-F0-9]//gs;
  702:    unless (length($color)==6) { $color=''; }
  703:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  704:  
  705:    unless ($function) { $function="0"; }
  706:    if ($target eq 'web') {
  707:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  708:       unless (defined($xinitial)) { $xinitial=$xmin; }
  709:       unless (defined($xfinal)) { $xfinal=$xmax; }
  710:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
  711:    } elsif ($target eq 'edit') {
  712:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  713:              &Apache::edit::text_arg('Function:','function',
  714:                                      $token,'16').
  715:              &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
  716:                                      $token,'8').
  717:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  718:                                      $token,'8').
  719:              &Apache::edit::text_arg('Label on Plot:','label',
  720:                                      $token,'8').
  721:              &Apache::edit::text_arg('Color (hex code):','color',
  722:                                      $token,'8').
  723:              &Apache::edit::select_arg('Fixed location:','fixed',
  724:                                   ['yes','no'],$token).
  725:              &Apache::edit::end_row();
  726:   } elsif ($target eq 'modified') {
  727:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  728:                                                  $safeeval,'function','label','xinitial','xfinal','color','fixed');
  729:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  730:   }
  731:   return $result;
  732: }
  733: 
  734: sub end_backgroundplot {
  735:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  736:    my $result='';
  737:    if ($target eq 'edit') {
  738:        $result=&Apache::edit::end_table();
  739:    }
  740:    return $result;
  741: }
  742: 
  743: #
  744: # <functionplotrule ... />
  745: #
  746: sub start_functionplotrule {
  747:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  748:    my $result='';
  749:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  750:    $Apache::functionplotresponse::counter++;
  751:    if ($label=~/\W/) {
  752:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  753:    }
  754:    $label=~s/\W//gs;
  755:    unless ($label) {
  756:       $label='R'.$Apache::functionplotresponse::counter;
  757:    } else {
  758:       $label='R'.$label;
  759:    }
  760: 
  761:    if ($target eq 'grade') {
  762: # Simply remember - in order - for later
  763:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  764:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  765:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  766:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  767:       }
  768:       $beginninglabel=~s/\W//gs;
  769:       $endinglabel=~s/\W//gs;
  770:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  771:       $relationship=~s/\W//gs;
  772:       $relationship=lc($relationship);
  773:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  774:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  775:           $relationship='eq';
  776:       }
  777:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  778:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
  779:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  780:          $derivative=0;
  781:       }
  782:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  783:            $label,
  784:            $derivative,
  785:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  786:            $beginninglabel,
  787:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  788:            $endinglabel,
  789:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  790:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  791:            $relationship,
  792:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  793:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  794:           )));
  795:    } elsif ($target eq 'edit') {
  796:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule').
  797:              &Apache::edit::text_arg('Index/Name:','index',
  798:                                      $token,'10').'&nbsp;'.
  799:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  800:                                   [['0','Function itself'],
  801:                                    ['1','First derivative'],
  802:                                    ['2','Second derivative'],
  803:                                    ['-1','Integral']],$token).'<br />'.
  804:              &Apache::edit::text_arg('Initial x-value:','xinitial',
  805:                                       $token,'8').
  806:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
  807:                                                [['start','Start of Plot'],
  808:                                                 ['end','End of Plot']],$token,'8').'<br />'.
  809: 
  810:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  811:                                       $token,'8').
  812:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
  813:                                                [['end','End of Plot']],$token,'8').'<br />'.
  814:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
  815:                                      $token,'8').
  816:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
  817:                                      $token,'8').'<br />'.
  818:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
  819:                                   [['eq','equal'],
  820:                                    ['ne','not equal'],
  821:                                    ['ge','greater than or equal'],
  822:                                    ['gt','greater than'],
  823:                                    ['lt','less than'],
  824:                                    ['le','less than or equal']],$token).
  825:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  826:                                                [['undef','not defined']],$token,'30').
  827:              &Apache::edit::text_arg('Percent error:','percenterror',
  828:                                      $token,'8').
  829:              &Apache::edit::end_row();
  830:   } elsif ($target eq 'modified') {
  831:     if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
  832:        $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
  833:     }
  834:     if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
  835:        $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
  836:     }
  837:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  838:                                                  $safeeval,'index','derivativeorder',
  839:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  840:                                                            'minimumlength','maximumlength',
  841:                                                            'relationship','value','percenterror');
  842:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  843:    }
  844:    return $result;
  845: }
  846: 
  847: sub end_functionplotrule {
  848:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  849:    my $result='';
  850:    if ($target eq 'edit') {
  851:        $result=&Apache::edit::end_table();
  852:    }
  853:    return $result;
  854: }
  855: 
  856: 
  857: #
  858: # <functionplotvectorrule ... />
  859: #
  860: sub start_functionplotvectorrule {
  861:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  862:    my $result='';
  863:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  864:    $Apache::functionplotresponse::counter++;
  865:    if ($label=~/\W/) {
  866:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  867:    }
  868:    $label=~s/\W//gs;
  869:    unless ($label) {
  870:       $label='R'.$Apache::functionplotresponse::counter;
  871:    } else {
  872:       $label='R'.$label;
  873:    }
  874: 
  875:    if ($target eq 'grade') {
  876: # Simply remember - in order - for later
  877: 
  878:       my $id=$Apache::inputtags::response[-1];
  879:       my $partid=$Apache::inputtags::part;
  880:       my $internalid = $partid.'_'.$id;
  881: 
  882:       my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval);
  883:       $vector=~s/\W//gs;
  884:       $vector=ucfirst($vector);
  885: 
  886:       push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
  887:            $label,
  888:            'vector',
  889:            $internalid,
  890:            $vector,
  891:            &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval),
  892:            &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval),
  893:            &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval),
  894:            &Apache::lonxml::get_param('tippoint',$parstack,$safeeval),
  895:            &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval),
  896:            &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval),
  897:            &Apache::lonxml::get_param('length',$parstack,$safeeval),
  898:            &Apache::lonxml::get_param('angle',$parstack,$safeeval),
  899:            &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
  900:            &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
  901:           )));
  902:    } elsif ($target eq 'edit') {
  903:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule').
  904:              &Apache::edit::text_arg('Index/Name:','index',
  905:                                      $token,'10').'&nbsp;'.
  906:              &Apache::edit::text_arg('Vector:','vector',
  907:                                       $token,'16').'<br />'.
  908:              &Apache::edit::text_arg('Attached to object:','attachpoint',
  909:                                       $token,'16').
  910:              &Apache::edit::text_arg('Not attached to object:','notattachpoint',
  911:                                       $token,'16').'<br />'.
  912:              &Apache::edit::text_arg('Tail attached to object:','tailpoint',
  913:                                       $token,'16').
  914:              &Apache::edit::text_arg('Tip attached to object:','tippoint',
  915:                                       $token,'16').
  916:              &Apache::edit::text_arg('Tail not attached to object:','nottailpoint',
  917:                                       $token,'16').
  918:              &Apache::edit::text_arg('Tip not attached to object:','nottippoint',
  919:                                       $token,'16').'<br />'.
  920:              &Apache::edit::text_arg('Length:','length',
  921:                                      $token,'30').
  922:              &Apache::edit::text_arg('Absolute error length:','lengtherror',
  923:                                      $token,'8').'<br />'.
  924:              &Apache::edit::text_arg('Angle:','angle',
  925:                                      $token,'30').
  926:              &Apache::edit::text_arg('Absolute error angle:','angleerror',
  927:                                      $token,'8').
  928:              &Apache::edit::end_row();
  929:   } elsif ($target eq 'modified') {
  930:     $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')});
  931:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  932:                                                  $safeeval,'index','vector','attachpoint','notattachpoint',
  933:                                                            'tailpoint','tippoint','nottailpoint','nottipoint',
  934:                                                            'length','angle',
  935:                                                            'lengtherror','angleerror');
  936:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  937:    }
  938:    return $result;
  939: }
  940: 
  941: sub end_functionplotvectorrule {
  942:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  943:    my $result='';
  944:    if ($target eq 'edit') {
  945:        $result=&Apache::edit::end_table();
  946:    }
  947:    return $result;
  948: }
  949: 
  950: #
  951: # <functionplotvectorsumrule ... />
  952: #
  953: sub start_functionplotvectorsumrule {
  954:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  955:    my $result='';
  956:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  957:    $Apache::functionplotresponse::counter++;
  958:    if ($label=~/\W/) {
  959:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  960:    }
  961:    $label=~s/\W//gs;
  962:    unless ($label) {
  963:       $label='R'.$Apache::functionplotresponse::counter;
  964:    } else {
  965:       $label='R'.$label;
  966:    }
  967:    if ($target eq 'grade') {
  968: # Simply remember - in order - for later
  969:       my $id=$Apache::inputtags::response[-1];
  970:       my $partid=$Apache::inputtags::part;
  971:       my $internalid = $partid.'_'.$id;
  972:       my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval);
  973:       push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
  974:            $label,
  975:            'sum',
  976:            $internalid,
  977:            $vectors,
  978:            &Apache::lonxml::get_param('length',$parstack,$safeeval),
  979:            &Apache::lonxml::get_param('angle',$parstack,$safeeval),
  980:            &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
  981:            &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
  982:           )));
  983:    } elsif ($target eq 'edit') {
  984:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule').
  985:              &Apache::edit::text_arg('Index/Name:','index',
  986:                                      $token,'10').'&nbsp;'.
  987:              &Apache::edit::text_arg('Comma-separated list of vectors:','vectors',
  988:                                       $token,'30').'<br />'.
  989:              &Apache::edit::text_arg('Sum vector length:','length',
  990:                                      $token,'30').
  991:              &Apache::edit::text_arg('Absolute error length:','lengtherror',
  992:                                      $token,'8').'<br />'.
  993:              &Apache::edit::text_arg('Sum vector angle:','angle',
  994:                                      $token,'30').
  995:              &Apache::edit::text_arg('Absolute error angle:','angleerror',
  996:                                      $token,'8').
  997:              &Apache::edit::end_row();
  998:    } elsif ($target eq 'modified') {
  999:       my $constructtag=&Apache::edit::get_new_args($token,$parstack,
 1000:                                                    $safeeval,'index','vectors',
 1001:                                                              'length','angle',
 1002:                                                              'lengtherror','angleerror');
 1003:       if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
 1004:    }
 1005:    return $result;
 1006: }
 1007: 
 1008: sub end_functionplotvectorsumrule {
 1009:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1010:    my $result='';
 1011:    if ($target eq 'edit') {
 1012:        $result=&Apache::edit::end_table();
 1013:    }
 1014:    return $result;
 1015: }
 1016: 
 1017: #
 1018: # <functionplotcustom ... />
 1019: #
 1020: sub start_functionplotcustomrule {
 1021:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1022:    my $result='';
 1023:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
 1024:    $Apache::functionplotresponse::counter++;
 1025:    if ($label=~/\W/) {
 1026:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
 1027:    }
 1028:    $label=~s/\W//gs;
 1029:    unless ($label) {
 1030:       $label='R'.$Apache::functionplotresponse::counter;
 1031:    } else {
 1032:       $label='R'.$label;
 1033:    }
 1034:    &Apache::lonxml::register('Apache::response',('answer'));
 1035:    if ($target eq 'edit') {
 1036:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule').
 1037:              &Apache::edit::text_arg('Index/Name:','index',$token,'10').
 1038:              &Apache::edit::end_row();
 1039:   } elsif ($target eq 'modified') {
 1040:       my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index');
 1041:       if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
 1042:    }
 1043:    return $result;
 1044: }
 1045: 
 1046: sub end_functionplotcustomrule {
 1047:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1048:    my $result='';
 1049:    if ($target eq 'edit') {
 1050:       $result=&Apache::edit::end_table();
 1051:    } elsif ($target eq 'grade') {
 1052: # Simply remember - in order - for later
 1053:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
 1054:       $Apache::functionplotresponse::counter++;
 1055:       if ($label=~/\W/) {
 1056:          &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
 1057:       }
 1058:       $label=~s/\W//gs;
 1059:       unless ($label) {
 1060:          $label='R'.$Apache::functionplotresponse::counter;
 1061:       } else {
 1062:          $label='R'.$label;
 1063:       }
 1064:       push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
 1065:            $label,
 1066:            'custom',
 1067:            &escape($Apache::response::custom_answer[-1])
 1068:           )));
 1069:    }
 1070:    &Apache::lonxml::deregister('Apache::response',('answer'));
 1071:    return $result;
 1072: }
 1073: 
 1074: 
 1075: 
 1076: #
 1077: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
 1078: #
 1079: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
 1080: #
 1081: sub start_spline {
 1082:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1083:    my $result='';
 1084:    if ($target eq 'web') {
 1085:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
 1086:       $Apache::functionplotresponse::counter++;
 1087:       if ($label=~/\W/) {
 1088:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
 1089:       }
 1090:       $label=~s/\W//gs;
 1091:       unless ($label) { 
 1092:          $label='S'.$Apache::functionplotresponse::counter; 
 1093:       } else {
 1094:          $label='S'.$label;
 1095:       }
 1096:       if ($Apache::functionplotresponse::splineorder{$label}) {
 1097:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
 1098:       }
 1099: 
 1100:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
 1101:       if ($order<2) { $order=2; }
 1102:       if ($order>8) { $order=8; }
 1103:       $Apache::functionplotresponse::splineorder{$label}=$order;
 1104: 
 1105:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
 1106:       unless ($x) { $x=0; }
 1107:       $Apache::functionplotresponse::splineinitx{$label}=$x;
 1108: 
 1109:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
 1110:       unless ($y) { $y=0; }
 1111:       $Apache::functionplotresponse::splineinity{$label}=$y;
 1112: 
 1113:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
 1114:       unless ($sx) { $sx=$order; }
 1115:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
 1116: 
 1117:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
 1118:       unless ($sy) { $sy=2; }
 1119:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
 1120:    } elsif ($target eq 'edit') {
 1121:         $result=&Apache::edit::tag_start($target,$token,'Spline').
 1122:              &Apache::edit::text_arg('Index:','index',
 1123:                                      $token,'4').'&nbsp;'.
 1124:              &Apache::edit::select_arg('Order:','order',
 1125:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
 1126:              &Apache::edit::text_arg('Initial x-value:','initx',
 1127:                                      $token,'4').'&nbsp;'.
 1128:              &Apache::edit::text_arg('Initial y-value:','inity',
 1129:                                      $token,'4').'&nbsp;'.
 1130:              &Apache::edit::text_arg('Scale x:','scalex',
 1131:                                      $token,'4').'&nbsp;'.
 1132:              &Apache::edit::text_arg('Scale y:','scaley',
 1133:                                      $token,'4').
 1134:              &Apache::edit::end_row();
 1135:   } elsif ($target eq 'modified') {
 1136:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
 1137:                                                  $safeeval,'index','order','initx','inity',
 1138:                                                            'scalex','scaley');
 1139:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
 1140:   }
 1141:   return $result;
 1142: }
 1143: 
 1144: sub end_spline {
 1145:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1146:    my $result='';
 1147:    if ($target eq 'edit') {
 1148:        $result=&Apache::edit::end_table();
 1149:    }
 1150:    return $result;
 1151: }
 1152:  
 1153: sub end_init_script {
 1154:     return (<<ENDENDINIT);
 1155: }
 1156: // ]]>
 1157: </script>
 1158: ENDENDINIT
 1159: }
 1160: 
 1161: #
 1162: # Storing and restoring spline coordinates from part answers
 1163: #
 1164: sub decode_previous_answer {
 1165:    my ($answer)=@_;
 1166:    foreach my $coordinate (split(/\,/,$answer)) {
 1167:       my ($key,$value)=split(/\=/,$coordinate);
 1168:       $Apache::functionplotresponse::previous{$key}=$value;
 1169:    }
 1170: }
 1171: 
 1172: sub get_answer_from_form_fields {
 1173:    my ($id)=@_;
 1174:    my $answer='';
 1175:    my %coords=();
 1176:    foreach my $field (keys(%env)) {
 1177:       if ($field=~/^form\.HWVAL\_$id/) {
 1178:          $field=~/^form\.(.*)$/;
 1179:          $coords{$1}=$env{$field};
 1180:       }
 1181:    }
 1182:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
 1183:    return ($answer,%coords);
 1184: }
 1185: 
 1186: #
 1187: # The following functions calculate the cubic-hermite splines server-side
 1188: #
 1189: 
 1190: sub cubic_hermite {
 1191:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1192:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
 1193:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
 1194: }
 1195: 
 1196: #
 1197: # d/dt(...)
 1198: # 
 1199: 
 1200: sub ddt_cubic_hermite {
 1201:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1202:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
 1203:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
 1204: }
 1205: 
 1206: #
 1207: # d^2/dt^2(...)
 1208: #
 1209: 
 1210: sub d2dt2_cubic_hermite {
 1211:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1212:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
 1213:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
 1214: }
 1215: 
 1216: #
 1217: # Array index calculation
 1218: #
 1219: sub array_index {
 1220:    my ($xmin,$xmax,$x)=@_;
 1221:    if ($x ne '') {
 1222:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
 1223:    } else {
 1224:       return undef;
 1225:    }
 1226: }
 1227: 
 1228: #
 1229: # Populate the arrays
 1230: #
 1231: 
 1232: sub populate_arrays {
 1233:     my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
 1234:     for (my $i=0; $i<=400; $i++) {
 1235:        $Apache::functionplotresponse::actualxval[$i]=undef;
 1236:        $Apache::functionplotresponse::func[$i]=undef;
 1237:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
 1238:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
 1239:     }
 1240:     unless ($xmax>$xmin) { return 'no_func'; }
 1241: # Run over all splines in response
 1242:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
 1243:         my $xiold=-1;
 1244: # Run over all points in spline
 1245:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
 1246:             my $ni=$i+1;
 1247:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
 1248:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
 1249:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
 1250:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
 1251:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
 1252:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
 1253:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
 1254:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
 1255: # Run in small steps over spline parameter
 1256:             for (my $t=0; $t<=1; $t+=0.0001) {
 1257:                 my $xreal=&cubic_hermite($t,@xparms);
 1258:                 my $xi=&array_index($xmin,$xmax,$xreal);
 1259:                 if ($xi<$xiold) { return 'no_func'; }
 1260:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
 1261:                    $xiold=$xi;
 1262:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
 1263: # Function value
 1264:                    my $funcval=&cubic_hermite($t,@yparms);
 1265: 
 1266: # Do we already have a value for this point, and is it different from the new one?
 1267:                    if ((defined($Apache::functionplotresponse::func[$xi])) &&
 1268:                        (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
 1269:                        return 'no_func'; 
 1270:                    }
 1271: # Okay, remember the new point
 1272:                    $Apache::functionplotresponse::func[$xi]=$funcval;
 1273: 
 1274:                    if (defined($funcval)) {
 1275:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
 1276:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
 1277:                       }
 1278:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
 1279:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
 1280:                       }
 1281:                    }
 1282: # Chain rule
 1283: # dy/dx=dy/dt/(dx/dt)
 1284:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
 1285:                    if ($dxdt) {
 1286:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
 1287: # Second derivative
 1288:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
 1289:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
 1290:                          ($dxdt*$dxdt*$dxdt);
 1291:                    }
 1292:                 }
 1293:             }
 1294:         }
 1295:     }
 1296: }
 1297: 
 1298: #
 1299: # Implementation of <functionplotresponse>
 1300: #
 1301: 
 1302: sub start_functionplotresponse {
 1303:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1304:   my $result='';
 1305: # To remember the splines - somehow, they need to come last
 1306:   undef %Apache::functionplotresponse::splineorder;
 1307:   undef %Apache::functionplotresponse::splineinitx;
 1308:   undef %Apache::functionplotresponse::splineinity;
 1309:   undef %Apache::functionplotresponse::splinescalex;
 1310:   undef %Apache::functionplotresponse::splinescaley;
 1311: # Remember input fields, etc
 1312:   undef %Apache::functionplotresponse::previous;
 1313:   $Apache::functionplotresponse::inputfields='';
 1314:   $Apache::functionplotresponse::counter=0;
 1315: # Remember vectors
 1316:   undef %Apache::functionplotresponse::vectorlabels;
 1317: # Remember rules
 1318:   undef @Apache::functionplotresponse::functionplotrules;
 1319:   undef @Apache::functionplotresponse::functionplotvectorrules;
 1320: # Remember failed rules
 1321:   if ($target eq 'grade') {
 1322:      undef @Apache::functionplotresponse::failedrules;
 1323:   }
 1324: # Delete previous awards
 1325:   undef $Apache::functionplotresponse::awarddetail;
 1326: # Part and ID
 1327:   my $partid=$Apache::inputtags::part;
 1328:   my $id=&Apache::response::start_response($parstack,$safeeval);
 1329: # Internal ID to mark the applet and its coordinates
 1330:   my $internalid = $partid.'_'.$id;
 1331: # Previous answer
 1332:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
 1333: 
 1334: # Parameters of <functionplotresponse>
 1335:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
 1336:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1337:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1338:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1339:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
 1340:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
 1341:   if ($target eq 'edit') {
 1342:     $result.=&Apache::edit::start_table($token)
 1343:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
 1344:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1345:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1346:        .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1347:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
 1348:        .'</span></td>'
 1349:        ."<td>&nbsp;"
 1350:        .&Apache::edit::end_row()
 1351:        .&Apache::edit::start_spanning_row()
 1352:        ."\n";
 1353:     $result.=&Apache::edit::text_arg('Width (pixels):','width',
 1354:                                      $token,'6').'&nbsp;'.
 1355:              &Apache::edit::text_arg('Height (pixels):','height',
 1356:                                      $token,'6').'<br />'.
 1357:              &Apache::edit::text_arg('Label x-axis:','xlabel',
 1358:                                      $token,'6').'&nbsp;'.
 1359:              &Apache::edit::text_arg('Minimum x-value:','xmin',
 1360:                                      $token,'4').'&nbsp;'.
 1361:              &Apache::edit::text_arg('Maximum x-value:','xmax',
 1362:                                      $token,'4').'&nbsp;'.
 1363:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
 1364:                                   ['yes','no'],$token).'<br />'.
 1365:              &Apache::edit::text_arg('Label y-axis:','ylabel',
 1366:                                      $token,'6').'&nbsp;'.
 1367:              &Apache::edit::text_arg('Minimum y-value:','ymin',
 1368:                                      $token,'4').'&nbsp;'.
 1369:              &Apache::edit::text_arg('Maximum y-value:','ymax',
 1370:                                      $token,'4').'&nbsp;'.
 1371:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
 1372:                                   ['yes','no'],$token).'<br />'.
 1373:              &Apache::edit::select_arg('Grid visible:','gridvisible',
 1374:                                   ['yes','no'],$token).'<br />'.
 1375:              &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
 1376:                                          'answerdisplay',$token,'50').
 1377:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
 1378:   } elsif ($target eq 'modified') {
 1379:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
 1380:                                                  $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax',
 1381:                                                            'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
 1382:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
 1383: 
 1384:   } elsif ($target eq 'meta') {
 1385:        $result=&Apache::response::meta_package_write('functionplotresponse');
 1386:   } elsif (($target eq 'answer') &&
 1387:             ($env{'form.answer_output_mode'} ne 'tex') &&
 1388:             ($Apache::lonhomework::viewgrades == 'F')) {
 1389:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
 1390:       $uname =~s/\W//g;
 1391:       $udom  =~s/\W//g;
 1392:       my $function_name =
 1393:                 join('_','LONCAPA_scriptvars',$uname,$udom,
 1394:                      $env{'form.counter'},$Apache::lonxml::curdepth);
 1395:       &Apache::lonxml::add_script_result(
 1396:           &Apache::loncommon::modal_adhoc_window($function_name,700,500,
 1397:              '<pre>'.$Apache::functionplotresponse::ruleslog.'</pre>',
 1398:               &mt('Rules Log'))."<br />");
 1399:   }
 1400:   return $result;
 1401: }
 1402: 
 1403: sub compare_rel {
 1404:    my ($relationship,$value,$realval,$tol)=@_;
 1405: # is the real value undefined?
 1406:    unless (defined($realval)) {
 1407: # the real value is not defined
 1408:       if ($relationship eq 'eq') {
 1409:          if ($value eq 'undef') {
 1410:             return 1;
 1411:          } else {
 1412:             return 0;
 1413:          }
 1414:       } elsif ($relationship eq 'ne') {
 1415:          if ($value eq 'undef') {
 1416:             return 0;
 1417:          } else {
 1418:             return 1;
 1419:          }
 1420:       } else {
 1421:          return 0;
 1422:       }
 1423:    }
 1424: 
 1425: # is the expected value undefined?
 1426:    if ($value eq 'undef') {
 1427: # but by now we know that the real value is defined
 1428:       return 0;
 1429:    }
 1430: 
 1431: # both are defined.
 1432:    if ($relationship eq 'gt') {
 1433:       return ($realval>$value);
 1434:    } elsif ($relationship eq 'ge') {
 1435:       return ($realval>$value-$tol);
 1436:    } elsif ($relationship eq 'lt') {
 1437:       return ($realval<$value);
 1438:    } elsif ($relationship eq 'le') {
 1439:       return ($realval<$value+$tol);
 1440:    } elsif ($relationship eq 'ne') {
 1441:       return (abs($value-$realval)>$tol);
 1442:    } else {
 1443:       return (abs($value-$realval)<$tol);
 1444:    }
 1445:    return 0;
 1446: }
 1447: 
 1448: sub addlog {
 1449:    my ($text)=@_;
 1450:    $text=~s/\'/\\\'/g;
 1451:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
 1452: }
 1453: 
 1454: sub actualval {
 1455:    my ($i,$xmin,$xmax)=@_;
 1456:    return $xmin+$i/400.*($xmax-$xmin);
 1457: }
 1458: 
 1459: sub fpr_val {
 1460:    my ($arg)=@_;
 1461:    return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
 1462:                      $Apache::functionplotresponse::fpr_xmin,
 1463:                      $Apache::functionplotresponse::fpr_xmax);
 1464: }
 1465: 
 1466: sub fpr_f {
 1467:    my ($arg)=@_;
 1468:    return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
 1469:                                                            $Apache::functionplotresponse::fpr_xmax,
 1470:                                                            $arg)];
 1471: }
 1472: 
 1473: sub fpr_dfdx {
 1474:    my ($arg)=@_;
 1475:    return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
 1476:                                                               $Apache::functionplotresponse::fpr_xmax,
 1477:                                                               $arg)];
 1478: }
 1479: 
 1480: sub fpr_d2fdx2 {
 1481:    my ($arg)=@_;
 1482:    return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
 1483:                                                                 $Apache::functionplotresponse::fpr_xmax,
 1484:                                                                 $arg)];
 1485: }
 1486: 
 1487: sub fpr_vectorcoords {
 1488:    my ($arg)=@_;
 1489:    $arg=~s/\W//gs;
 1490:    $arg=ucfirst($arg);
 1491:    my $id=$Apache::inputtags::response[-1];
 1492:    my $partid=$Apache::inputtags::part;
 1493:    my $internalid = $partid.'_'.$id;
 1494:    return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'},
 1495:            $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'},
 1496:            $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'},
 1497:            $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'});
 1498: }
 1499: 
 1500: sub fpr_objectcoords {
 1501:    my ($arg)=@_;
 1502:    $arg=~s/\W//gs;
 1503:    $arg=ucfirst($arg);
 1504:    my $id=$Apache::inputtags::response[-1];
 1505:    my $partid=$Apache::inputtags::part;
 1506:    my $internalid = $partid.'_'.$id;
 1507:    return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'},
 1508:            $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'});
 1509: }
 1510: 
 1511: sub fpr_vectorlength {
 1512:    my ($arg)=@_;
 1513:    my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
 1514:    return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys));
 1515: }
 1516: 
 1517: sub fpr_vectorangle {
 1518:    my ($arg)=@_;
 1519:    my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
 1520:    my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs));
 1521:    if ($angle<0) { $angle=360+$angle; }
 1522:    return $angle;
 1523: }
 1524: 
 1525: sub vectorcoords {
 1526:    my ($id,$label)=@_;
 1527:    return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'},
 1528:            $env{'form.HWVAL_'.$id.'_'.$label.'End_x'},
 1529:            $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'},
 1530:            $env{'form.HWVAL_'.$id.'_'.$label.'End_y'});
 1531: }
 1532: 
 1533: sub objectcoords {
 1534:    my ($id,$label)=@_;
 1535:    return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'},
 1536:            $env{'form.HWVAL_'.$id.'_'.$label.'_y'});
 1537: }
 1538: 
 1539: sub attached {
 1540:    my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_;
 1541:    my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector);
 1542:    my $tolx=($xmax-$xmin)/100.;
 1543:    my $toly=($ymax-$ymin)/100.;
 1544:    my $tail=0;
 1545:    my $tip=0;
 1546:    foreach my $obj (split(/\s*\,\s*/,$objects)) {
 1547:       $obj=~s/\W//g;
 1548:       unless ($obj) { next; }
 1549:       $obj=ucfirst($obj);
 1550:       my ($xo,$yo)=&objectcoords($id,$obj);
 1551:       &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)");
 1552:       if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) {
 1553:          $tail=1;
 1554:          &addlog("Attached tail: $obj"); 
 1555:       }
 1556:       if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) { 
 1557:          $tip=1;
 1558:          &addlog("Attached tip: $obj"); 
 1559:       }
 1560:    }
 1561:    &addlog("Result tail:$tail tip:$tip");
 1562:    return($tail,$tip);
 1563: }
 1564: 
 1565:  
 1566: sub vectorangle {
 1567:    my ($x,$y)=@_;
 1568:    my $angle=57.2957795*atan2($y,$x);
 1569:    if ($angle<0) { $angle=360+$angle; }
 1570:    return $angle;
 1571: }
 1572: 
 1573: sub vectorlength {
 1574:    my ($x,$y)=@_;
 1575:    return sqrt($x*$x+$y*$y);
 1576: }
 1577: 
 1578: sub relvector {
 1579:    my ($xs,$xe,$ys,$ye)=@_;
 1580:    return ($xe-$xs,$ye-$ys);
 1581: }
 1582: 
 1583: sub plotvectorlength {
 1584:    return &vectorlength(&relvector(&vectorcoords(@_)));
 1585: }
 1586: 
 1587: sub plotvectorangle {
 1588:    return &vectorangle(&relvector(&vectorcoords(@_)));
 1589: }
 1590: 
 1591: 
 1592: #
 1593: # Evaluate a functionplotvectorrule
 1594: #
 1595: 
 1596: sub functionplotvectorrulecheck {
 1597:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1598:    &addlog("=================");
 1599:    my ($label,$type)=split(/\:/,$rule);
 1600:    if ($type eq 'vector') {
 1601:       return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
 1602:    } elsif ($type eq 'sum') {
 1603:       return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
 1604:    } elsif ($type eq 'custom') {
 1605:       return &customcheck($rule,$safeeval);
 1606:    }
 1607: }
 1608: 
 1609: sub vectorcheck {
 1610:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1611:    my ($label,$type,$id,$vector,
 1612:        $attachpoint,$notattachpoint,
 1613:        $tailpoint,$tippoint,$nottailpoint,$nottippoint,
 1614:        $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
 1615:    &addlog("Vector Rule $label for vector ".$vector);
 1616:    if ($length ne '') {
 1617:       &addlog("Checking for length $length with error $lengtherror");
 1618:       $length=&Apache::run::run($length,$safeeval);
 1619:       &addlog("Length evaluated to $length");
 1620:       my $thislength=&plotvectorlength($id,$vector);
 1621:       &addlog("Found length $thislength");
 1622:       if (abs($thislength-$length)>$lengtherror) {
 1623:          &setfailed($label);
 1624:          return 0;
 1625:       }
 1626:    }
 1627:    if ($angle ne '') {
 1628:       &addlog("Checking for angle $angle with error $angleerror");
 1629:       $angle=&Apache::run::run($angle,$safeeval);
 1630:       &addlog("Angle evaluated to $angle");
 1631:       my $thisangle=&plotvectorangle($id,$vector);
 1632:       &addlog("Found angle $thisangle");
 1633:       my $anglediff=abs($thisangle-$angle);
 1634:       &addlog("Angle difference: $anglediff");
 1635:       if ($anglediff>360.-$anglediff) {
 1636:          $anglediff=360.-$anglediff;
 1637:       }
 1638:       &addlog("Smallest angle difference: $anglediff");
 1639:       if ($anglediff>$angleerror) {
 1640:          &setfailed($label);
 1641:          return 0;
 1642:       }
 1643:    }
 1644:    if ($attachpoint ne '') {
 1645:       &addlog("Checking attached: ".$attachpoint);
 1646:       my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax);
 1647:       unless ($tail || $tip) {
 1648:          &setfailed($label);
 1649:          return 0;
 1650:       }
 1651:    }
 1652:    if ($notattachpoint ne '') {
 1653:       &addlog("Checking not attached: ".$notattachpoint);
 1654:       my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax);
 1655:       if ($tail || $tip) {
 1656:          &setfailed($label);
 1657:          return 0;
 1658:       }
 1659:    }
 1660:    if ($tailpoint ne '') {
 1661:       &addlog("Checking tail: ".$tailpoint);
 1662:       my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax);
 1663:       unless ($tail) {
 1664:          &setfailed($label);
 1665:          return 0;
 1666:       }
 1667:    }
 1668:    if ($nottailpoint ne '') {
 1669:       &addlog("Checking not tail: ".$nottailpoint);
 1670:       my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax);
 1671:       if ($tail) {
 1672:          &setfailed($label);
 1673:          return 0;
 1674:       }
 1675:    }
 1676:    if ($tippoint ne '') {
 1677:       &addlog("Checking tip: ".$tippoint);
 1678:       my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax);
 1679:       unless ($tip) {
 1680:          &setfailed($label);
 1681:          return 0;
 1682:       }
 1683:    }
 1684:    if ($nottippoint ne '') {
 1685:       &addlog("Checking not tip: ".$nottippoint);
 1686:       my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax);
 1687:       if ($tip) {
 1688:          &setfailed($label);
 1689:          return 0;
 1690:       }
 1691:    }
 1692: 
 1693:    &addlog("Rule $label passed.");
 1694:    return 1;
 1695: }
 1696: 
 1697: sub sumcheck {
 1698:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1699:    my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
 1700:    &addlog("Vector Sum Rule $label for vectors ".$vectors);
 1701:    my $sumx=0;
 1702:    my $sumy=0;
 1703:    foreach my $sv (split(/\s*\,\s*/,$vectors)) {
 1704:       my ($rx,$ry)=&relvector(&vectorcoords($id,$sv));
 1705:       $sumx+=$rx;
 1706:       $sumy+=$ry;
 1707:    }
 1708:    &addlog("Sum vector ($sumx,$sumy)");
 1709:    if ($length ne '') {
 1710:       &addlog("Checking length $length with error $lengtherror");
 1711:       $length=&Apache::run::run($length,$safeeval);
 1712:       &addlog("Evaluated to $length");
 1713:       my $thislength=&vectorlength($sumx,$sumy);
 1714:       &addlog("Actual length $thislength");
 1715:       if (abs($length-$thislength)>$lengtherror) {
 1716:                   &setfailed($label);
 1717:          return 0;
 1718:       }
 1719:    }
 1720:    if ($angle ne '') {
 1721:       &addlog("Checking angle $angle with error $angleerror");
 1722:       $angle=&Apache::run::run($angle,$safeeval);
 1723:       &addlog("Evaluated to $angle");
 1724:       my $thisangle=&vectorangle($sumx,$sumy);
 1725:       &addlog("Actual angle $thisangle");
 1726:       my $anglediff=abs($thisangle-$angle);
 1727:       &addlog("Angle difference: $anglediff");
 1728:       if ($anglediff>360.-$anglediff) {
 1729:          $anglediff=360.-$anglediff;
 1730:       }
 1731:       &addlog("Smallest angle difference: $anglediff");
 1732:       if ($anglediff>$angleerror) {
 1733:          &setfailed($label);
 1734:          return 0;
 1735:       }
 1736:    }
 1737:    &addlog("Rule $label passed.");
 1738:    return 1;
 1739: }
 1740: 
 1741: sub customcheck {
 1742:    my ($rule,$safeeval)=@_;
 1743:    my ($label,$type,$prg)=split(/\:/,$rule);
 1744:    &addlog("Custom Rule ".$label);
 1745:    my $result=&Apache::run::run(&unescape($prg),$safeeval);
 1746:    &addlog("Algorithm returned $result");
 1747:    unless ($result) {
 1748:       &setfailed($label);
 1749:       return 0;
 1750:    }
 1751:    &addlog("Rule $label passed.");
 1752:    return 1;
 1753: }
 1754: 
 1755: #
 1756: # Evaluate a functionplotrule
 1757: #
 1758:  
 1759: sub functionplotrulecheck {
 1760:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1761: 
 1762:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
 1763:       =split(/\:/,$rule);
 1764:    $percent=($percent>0?$percent:5);
 1765:    &addlog("=================");
 1766:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
 1767: #
 1768: # Evaluate the value
 1769: #
 1770:    if (($value=~/\D/) && ($value ne 'undef')) {
 1771:       $Apache::functionplotresponse::fpr_xmin=$xmin;
 1772:       $Apache::functionplotresponse::fpr_xmax=$xmax;
 1773:       $value=&Apache::run::run($value,$safeeval);
 1774:       &addlog("Value evaluated to $value");
 1775:    }
 1776: 
 1777: #
 1778: # Minimum and maximum lengths of the interval
 1779: #
 1780:    if ((defined($minimumlength)) || (defined($maximumlength))) {
 1781:       &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
 1782:    }
 1783:    my $li=0;
 1784:    my $lh=400;
 1785: 
 1786: # Special case: the upper boundary was not defined
 1787: # and needs to be set to the value where
 1788: # the condition is not true anymore => set flag
 1789: 
 1790:    my $findupper=0;
 1791:    if (($xfinal eq '')
 1792:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
 1793:     && ($xfinallabel)) {
 1794:        $findupper=1;
 1795:    }
 1796: 
 1797: # if a hard value is set for the boundaries, it overrides the label
 1798:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
 1799:       $li=&array_index($xmin,$xmax,$xinitial);
 1800:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
 1801:    }
 1802:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
 1803:       $lh=&array_index($xmin,$xmax,$xfinal);
 1804:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
 1805:    }
 1806: # if the label is defined, use it
 1807:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
 1808:       &addlog("Using lower label $xinitiallabel");
 1809:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
 1810:    } else {
 1811:       $li=&array_index($xmin,$xmax,$xinitial);
 1812:    }
 1813:    unless ($findupper) {
 1814:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
 1815:          &addlog("Using upper label $xfinallabel");
 1816:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
 1817:       } else {
 1818:          $lh=&array_index($xmin,$xmax,$xfinal);
 1819:       }
 1820:    }
 1821: # Basic sanity checks
 1822:    if ($li<0) { $li=0; }
 1823:    if ($lh>400) { $lh=400; }
 1824:    if (($li>$lh) || (!defined($lh))) {
 1825:        $lh=$li;
 1826:    }
 1827: 
 1828:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
 1829:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
 1830:    if ($findupper) {
 1831:       &addlog("Looking for label $xfinallabel");
 1832:    }
 1833:    my $tol=$percent*($ymax-$ymin)/100;
 1834:    if ($xmax>$xmin) {
 1835:       if ($derivative==2) {
 1836:          $tol=4.*$tol/($xmax-$xmin);
 1837:       } elsif ($derivative==1) {
 1838:          $tol=2.*$tol/($xmax-$xmin);
 1839:       } elsif ($derivative==-1) {
 1840:          $tol=$tol*($xmax-$xmin)/2.;
 1841:       }
 1842:    }
 1843:    my $integral=0;
 1844:    my $binwidth=($xmax-$xmin)/400.;
 1845:    if (($derivative<0) && (!$findupper)) {
 1846: # definite integral, calculate over whole length
 1847:      &addlog("Calculating definite integral");
 1848:      for (my $i=$li; $i<=$lh; $i++) {
 1849:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1850:      }
 1851:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
 1852:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
 1853:         &addlog("Rule $label failed.");
 1854:         &setfailed($label);
 1855:         return 0;
 1856:      } 
 1857:    } else {
 1858:      for (my $i=$li; $i<=$lh; $i++) {
 1859:         my $val;
 1860:         if ($derivative==2) {
 1861:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
 1862:         } elsif ($derivative==1) {
 1863:            $val=$Apache::functionplotresponse::dfuncdx[$i];
 1864:         } elsif ($derivative==-1) {
 1865:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1866:            $val=$integral;      
 1867:         } else {
 1868:            $val=$Apache::functionplotresponse::func[$i];
 1869:         }
 1870:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
 1871:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
 1872:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
 1873:            if (($findupper) && ($i>$li)) {
 1874: # Check lengths
 1875:               unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1876: # Successfully found a new label, set it
 1877:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
 1878:               &addlog("Rule $label passed, setting label $xfinallabel");
 1879:               return 1;
 1880:            } else {
 1881:               &addlog("Rule $label failed.");
 1882:               &setfailed($label);
 1883:               return 0; 
 1884:            }
 1885:         }
 1886:      }
 1887:    }
 1888: # Corner case where this makes sense: using start or stop as defined labels
 1889:    unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1890:    &addlog("Rule $label passed.");
 1891:    return 1;
 1892: }
 1893: 
 1894: #
 1895: # check for minimum and maximum lengths
 1896: #
 1897: 
 1898: sub checklength {
 1899:     my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
 1900:     unless (($minimumlength) || ($maximumlength)) { return 1; }
 1901:     my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
 1902:     if ($minimumlength) {
 1903:        if ($length<$minimumlength) {
 1904:           &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
 1905:           &setfailed($label);
 1906:           return 0;
 1907:        }
 1908:     }
 1909:     if ($maximumlength) {
 1910:        if ($length>$maximumlength) {
 1911:           &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
 1912:           &setfailed($label);
 1913:           return 0;
 1914:        }
 1915:     }
 1916:     return 1;
 1917: }
 1918: 
 1919: sub setfailed {
 1920:    my ($hintlabel)=@_;
 1921:    $hintlabel=~s/^R//;
 1922:    push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1923:    &addlog("Set hint condition $hintlabel");
 1924: }
 1925: 
 1926: sub start_functionplotruleset {
 1927:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1928:    if ($target eq 'edit') {
 1929:       return &Apache::edit::start_table($token).
 1930:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
 1931:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1932:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1933:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1934:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
 1935:        .'</span></td>'
 1936:        ."<td>&nbsp;"
 1937:        .&Apache::edit::end_row()
 1938:        .&Apache::edit::start_spanning_row()
 1939:        ."\n";
 1940:    }
 1941: }
 1942: 
 1943: sub end_functionplotruleset {
 1944:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1945:     my $id=$Apache::inputtags::response[-1];
 1946:     my $partid=$Apache::inputtags::part;
 1947:     my $internalid = $partid.'_'.$id;
 1948: 
 1949:     if ($target eq 'edit' ) {
 1950:         return &Apache::edit::end_table();
 1951:     }  elsif ($target eq 'grade'
 1952:          && &Apache::response::submitted()
 1953:          && $Apache::lonhomework::type ne 'exam') {
 1954: #
 1955: # Actually grade
 1956: #
 1957:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1958: 
 1959:         my $ad='';
 1960:         undef  %Apache::functionplotresponse::functionplotrulelabels;
 1961:         $Apache::functionplotresponse::ruleslog='';
 1962:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
 1963:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
 1964:         if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
 1965:            $ad='NOT_FUNCTION';
 1966:         } else {
 1967:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
 1968:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
 1969:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1970:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1971: 
 1972: # We have a function that we can actually grade, go through the spline rules.
 1973:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1974:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1975:                  $ad='INCORRECT';
 1976:                  last;
 1977:               }
 1978:            }
 1979: # And now go through the vector rules
 1980:            foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) {
 1981:               unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1982:                  $ad='INCORRECT';
 1983:                  last;
 1984:               }
 1985:            }
 1986: # If it's not wrong, it's correct 
 1987:            unless ($ad) { $ad='EXACT_ANS' };
 1988:         }
 1989:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1990:         &addlog("Assigned award detail: $ad");
 1991: # Store for later to be assigned at end_functionplotresponse
 1992:         $Apache::functionplotresponse::awarddetail=$ad;
 1993:      }
 1994: }
 1995: 
 1996: 
 1997: sub end_functionplotresponse {
 1998:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1999:   &Apache::response::end_response;
 2000: 
 2001:   my $result;
 2002:   my $id=$Apache::inputtags::response[-1];
 2003:   my $partid=$Apache::inputtags::part;
 2004:   my $internalid = $partid.'_'.$id;
 2005: 
 2006:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 2007:     if ($target eq 'grade'
 2008:          && &Apache::response::submitted()
 2009:          && $Apache::lonhomework::type eq 'exam') {
 2010: 
 2011:         &Apache::response::scored_response($partid,$id);
 2012: 
 2013:     } elsif ($target eq 'grade'
 2014:          && &Apache::response::submitted()
 2015:          && $Apache::lonhomework::type ne 'exam') {
 2016:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 2017:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 2018:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 2019: #
 2020: # Assign grade
 2021: #
 2022:         my $ad=$Apache::functionplotresponse::awarddetail;
 2023: #
 2024: # Store grading info
 2025: #
 2026:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 2027:         &Apache::response::handle_previous(\%previous,$ad);
 2028:    } elsif ($target eq 'web') {
 2029:         undef @Apache::functionplotresponse::failedrules;
 2030:    }
 2031:    return $result;
 2032: }
 2033: 
 2034: sub end_functionplotelements {
 2035:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 2036:   my $result='';
 2037:   my $id=$Apache::inputtags::response[-1];
 2038:   my $partid=$Apache::inputtags::part;
 2039:   my $internalid = $partid.'_'.$id;
 2040:   if ($target eq 'edit' ) {
 2041:      $result=&Apache::edit::end_table();
 2042:   } elsif ($target eq 'web') {
 2043:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 2044: 
 2045: # Are we in show answer mode?
 2046:      my $showanswer=&Apache::response::show_answer();
 2047:      if ($showanswer) {
 2048: # Render answerdisplay
 2049:         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
 2050:         if ($answerdisplay=~/\S/s) {
 2051:            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
 2052:               my @components=split(/\s*\:\s*/,$plot);
 2053:               if ($#components<3) {
 2054: # Just a simple plot
 2055:                  my ($func,$xl,$xh)=@components;
 2056:                  if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
 2057:                  if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
 2058:                  $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
 2059:               } else {
 2060: # This is a spline
 2061:                  $result.=&answer_spline_script($internalid,@components);
 2062:               }
 2063:            }
 2064:         }
 2065:      }
 2066:      my $fixed=0;
 2067:      if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
 2068: # Now is the time to render all of the stored splines
 2069:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 2070:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
 2071:      }
 2072: # close the init script
 2073:      $result.=&end_init_script();
 2074: # register all splines in this response 
 2075:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 2076:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 2077:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 2078:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 2079:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 2080:      }
 2081: # generate the input fields
 2082:      $result.=$Apache::functionplotresponse::inputfields;
 2083: # actually start the <applet>-tag
 2084:      $result.=&geogebra_startcode($internalid,
 2085:                                   &Apache::lonxml::get_param('width',$parstack,$safeeval,-2),
 2086:                                   &Apache::lonxml::get_param('height',$parstack,$safeeval,-2));
 2087: # load the spline bytecode
 2088:      $result.=&geogebra_spline_program();
 2089: # set default parameters
 2090:      $result.=&geogebra_default_parameters($internalid);
 2091: # close the <applet>-tag
 2092:      $result.=&geogebra_endcode();
 2093:   }
 2094:   return $result;
 2095: }
 2096: 
 2097: sub boundaries {
 2098:    my ($parstack,$safeeval,$level)=@_;
 2099:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
 2100:    $xmin=(defined($xmin)?$xmin:-10);
 2101:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
 2102:    $xmax=(defined($xmax)?$xmax:10);
 2103:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
 2104:    $ymin=(defined($ymin)?$ymin:-10);
 2105:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
 2106:    $ymax=(defined($ymax)?$ymax:10);
 2107:    if ($xmax<=$xmin) {
 2108:       $xmax=$xmin+20;
 2109:    }
 2110:    if ($ymax<=$ymin) {
 2111:       $ymax=$ymin+20;
 2112:    }
 2113:    return ($xmin,$xmax,$ymin,$ymax);
 2114: }
 2115: 
 2116: sub start_functionplotelements {
 2117:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 2118:    my $result='';
 2119:    my $id=$Apache::inputtags::response[-1];
 2120:    my $partid=$Apache::inputtags::part;
 2121:    my $internalid = $partid.'_'.$id;
 2122: 
 2123:    if ($target eq 'edit') {
 2124:       return &Apache::edit::start_table($token).
 2125:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 2126:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 2127:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 2128:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 2129:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
 2130:        .'</span></td>'
 2131:        ."<td>&nbsp;"
 2132:        .&Apache::edit::end_row()
 2133:        .&Apache::edit::start_spanning_row()
 2134:        ."\n";
 2135:    } elsif ($target eq 'web') {
 2136:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 2137:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 2138:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 2139:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 2140:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 2141:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 2142: 
 2143: 
 2144: # paste in the update routine to receive stuff back from the applet
 2145:      $result.=&update_script($internalid);
 2146: # start the initscript for this applet
 2147:      $result.=&start_init_script($internalid);
 2148: # put the axis commands inside
 2149:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 2150:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
 2151: # init script is left open
 2152:   }
 2153:   return $result;
 2154: }
 2155: 
 2156: 1;
 2157: 
 2158: __END__
 2159:  
 2160: =head1 NAME
 2161: 
 2162: Apache::functionplotresponse.pm;
 2163: 
 2164: =head1 SYNOPSIS
 2165: 
 2166: Handles tags associated with accepting function plots.
 2167: 
 2168: This is part of the LearningOnline Network with CAPA project
 2169: described at http://www.lon-capa.org.
 2170: 
 2171: =head1 HANDLER SUBROUTINE
 2172: 
 2173: start_functionplotresponse()
 2174: 
 2175: =head1 OTHER SUBROUTINES
 2176: 
 2177: =over
 2178: 
 2179: =item end_functionplotresponse()
 2180: 
 2181: =back
 2182: 
 2183: =cut

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