File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
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    1: # LearningOnline Network with CAPA
    2: # Functionplot responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.87 2011/11/24 15:43:08 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:                                                             'functionplotcustomrule',
   42:                                                             'functionplotrule','functionplotruleset',
   43:                                                             'functionplotelements'));
   44: }
   45: 
   46: #
   47: # There can be a number of applets on a page, each called ggbApplet_$id, 
   48: # where $id is the "_"-concatenated part and responseid
   49: #
   50: 
   51: sub geogebra_startcode {
   52:     my ($id)=@_;
   53:     return (<<ENDSTARTCODE);
   54: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   55:          codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
   56:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   57: ENDSTARTCODE
   58: }
   59: 
   60: sub geogebra_endcode {
   61:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   62: }
   63: 
   64: #
   65: # This is the internal GeoGebra bytecode which defines the spline functions
   66: #
   67: sub geogebra_spline_program {
   68:     return (<<ENDSPLINEPROGRAM);
   69: <param name="ggbBase64" value="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"/>
   70: ENDSPLINEPROGRAM
   71: }
   72: 
   73: #
   74: # The standard set of parameters inside <applet>
   75: #
   76: sub geogebra_default_parameters {
   77:    my ($id)=@_;
   78:    return(<<ENDDEFAULTPARAMETERS);
   79:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   80:         <param name="boxborder" value="false"  />
   81:         <param name="centerimage" value="true"  />
   82: 	<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" />
   83: 	<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" />
   84:         <param name="framePossible" value="false" />
   85: 
   86:         <param name="showResetIcon" value="false" />
   87:         <param name="showAnimationButton" value="false" />
   88:         <param name="enableRightClick" value="false" />
   89:         <param name="errorDialogsActive" value="true" />
   90:         <param name="enableLabelDrags" value="false" />
   91:         <param name="showMenuBar" value="false" />
   92:         <param name="showToolBar" value="false" />
   93:         <param name="showToolBarHelp" value="false" />
   94:         <param name="showAlgebraInput" value="false" />
   95:         <param name="enableShiftDragZoom" value="false" />
   96:         <param name="allowRescaling" value="false" />
   97:         <param name="enableLabelDrags" value="false" />
   98:         <param name="ggbOnInitParam" value="applet_$id" />
   99: ENDDEFAULTPARAMETERS
  100: }
  101: 
  102: #
  103: # This subroutine is called by LON-CAPA at </problem>
  104: # Each applet on the page will call function ggbOnInit when it is done loading
  105: # This function in turn will call the respective function registered by start_init_script
  106: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  107: #
  108: 
  109: sub init_script {
  110:    if ($#Apache::functionplotresponse::callscripts>=0) {
  111:       my $script='';
  112:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  113:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  114:       }
  115:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  116:                ") { setTimeout('ggbInitAll()',200) }";
  117:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  118:       return (<<ENDGGBINIT);
  119: <script type="text/javascript">
  120: // <![CDATA[
  121: // Function that each applet will call when loaded
  122: // It will pass "its" parameter
  123: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  124: function ggbOnInit(param) {
  125: $script
  126: }
  127: function ggbInitAll() {
  128: $calls
  129: }
  130: // ]]>
  131: </script>
  132: ENDGGBINIT
  133:    }
  134: }
  135: 
  136: #
  137: # Each Geogebra applet is supposed to call this when parameters change
  138: # Changes the hidden fields on the web page
  139: #
  140: sub update_script {
  141:     my ($id)=@_;
  142:     return (<<ENDUPDATESCRIPT);
  143: <script type="text/javascript">
  144: // <![CDATA[
  145: function updatePointCoordinates_$id(coordinateName) {
  146:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  147:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  148:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  149:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  150:         }
  151: // ]]>
  152: </script>
  153: ENDUPDATESCRIPT
  154: }
  155: 
  156: #
  157: # Register the above update-handler for a variable
  158: #
  159: 
  160: sub update_register {
  161:    my ($id,$variable)=@_;
  162:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  163: }
  164: 
  165: #
  166: # Set a point coordinate variable
  167: #
  168: sub set_point_coordinate {
  169:    my ($id,$variable,$x,$y,$fixed)=@_;
  170:    my $mult=($fixed?'a*':'');
  171: # Get rid of wild exponents, make sure it's a number
  172:    $x=1.*$x;
  173:    $y=1.*$y;
  174: # GeoGebra does not understand "E"
  175:    $x=~s/[e|E]/\*10\^/;
  176:    $x=~s/\+//;
  177:    $y=~s/[e|E]/\*10\^/;
  178:    $y=~s/\+//;
  179:    return (<<ENDSETVARIABLE);
  180: document.ggbApplet_$id.evalCommand("a=1");
  181: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
  182: document.ggbApplet_$id.setLabelVisible("$variable",false);
  183: ENDSETVARIABLE
  184: }
  185: 
  186: #
  187: # Set a slope coordinate variable
  188: #
  189: sub set_slope_coordinate {
  190:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
  191:    my $xvariable=$variable.'x';
  192:    my $yvariable=$variable.'y';
  193:    my $domain=$xmax-$xmin;
  194:    my $range=$ymax-$ymin;
  195:    my $xinterval=$domain/100.;
  196:    my $yinterval=$range/200.;
  197:    my $mult=($fixed?'a*':'');
  198:    return (<<ENDSETSVARIABLE);
  199: document.ggbApplet_$id.evalCommand("a=1");
  200: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
  201: document.ggbApplet_$id.setVisible("$xvariable", false);
  202: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
  203: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
  204: document.ggbApplet_$id.setVisible("$yvariable", false);
  205: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
  206: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
  207: document.ggbApplet_$id.setLabelVisible("$variable", false);
  208: ENDSETSVARIABLE
  209: }
  210: 
  211: #
  212: # Input field name for a coordinate variable
  213: #
  214: 
  215: sub field_name {
  216:     my ($id,$variable,$name)=@_;
  217:     return "HWVAL_$id\_$variable\_$name";
  218: }
  219: 
  220: #
  221: # Generate an input field for a coordinate variable
  222: #
  223: 
  224: sub generate_input_field {
  225:     my ($id,$variable,$x,$y)=@_;
  226:     $Apache::functionplotresponse::inputfields.=
  227:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  228:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  229: }
  230: 
  231: #
  232: # Initialize a new point coordinate variable at set a listener on it
  233: #
  234: sub new_point_coordinate {
  235:     my ($id,$variable,$x,$y,$fixed)=@_;
  236:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  237:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  238:     }
  239:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  240:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  241:     }
  242:     &generate_input_field($id,$variable,$x,$y);
  243:     return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
  244: }
  245: 
  246: #
  247: # Initialize a new slope coordinate variable at set a listener on it
  248: #
  249: sub new_slope_coordinate {
  250:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  251: #
  252: # $variable: name of the slope point
  253: # $x, $y: coordinates of the slope point
  254: # $pointname: name of the associated point point
  255: # $xp $yp: coordinates of the point point
  256: #
  257:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  258:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  259:     }
  260:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  261:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  262:     }
  263:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
  264:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
  265:     }
  266:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
  267:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
  268:     }
  269: 
  270:     &generate_input_field($id,$variable,$x,$y);
  271:     my $xrel=$x-$xp;
  272:     my $yrel=$y-$yp;
  273:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
  274: }
  275: 
  276: #
  277: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  278: # It then starts the right headers
  279: #
  280: sub start_init_script {
  281:     my ($id)=@_;
  282: # Add id to the list of ggbInit_$id functions that need to be called
  283:     push(@Apache::functionplotresponse::callscripts,$id);
  284: # ... and open this function
  285:     return (<<ENDSTARTINIT);
  286: <script type="text/javascript">
  287: // <![CDATA[
  288: // variable that will eventually be passed back to the server
  289: var coordinateMap_$id = [];
  290: // flag for not loaded yet
  291: var loaded_$id=false;
  292: // Init-function for applet
  293: function ggbInit_$id() {
  294: ENDSTARTINIT
  295: }
  296: 
  297: #
  298: # This sets the axes inside ggbInit_$id
  299: #
  300: 
  301: sub axes_script {
  302:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  303:     return (<<ENDAXESSCRIPT);
  304:             // changes (xmin, xmax, ymin, ymax)
  305:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  306: 
  307:             // makes the (x,y) axis (in)visible
  308:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  309:             // makes the grid (in)visible
  310:             document.ggbApplet_$id.setGridVisible($gvisible);
  311: ENDAXESSCRIPT
  312: }
  313: 
  314: sub axes_label {
  315:     my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
  316:     unless ($xlabel || $ylabel) { return ''; }
  317:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  318:     if ($xlabel) {
  319:       if (($ymin<0) && ($ymax>0)) {
  320:        $return.=(<<ENDXAXISLABELSCRIPT);
  321: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  322: document.ggbApplet_$id.setVisible("Xlabel",false);
  323: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  324: ENDXAXISLABELSCRIPT
  325:       } else {
  326:        $return.=(<<ENDXOFFAXISLABEL);
  327: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
  328: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
  329: ENDXOFFAXISLABEL
  330:       }
  331:     }
  332:     if ($ylabel) {
  333:       if (($xmin<0) && ($xmax>0)) {
  334:        $return.=(<<ENDYAXISLABELSCRIPT);
  335: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  336: document.ggbApplet_$id.setVisible("Ylabel",false);
  337: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  338: ENDYAXISLABELSCRIPT
  339:       } else {
  340:        $return.=(<<ENDYOFFAXISLABEL);
  341: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
  342: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
  343: ENDYOFFAXISLABEL
  344:       }
  345:     }
  346:     return $return;
  347: }
  348: 
  349: #
  350: # Subroutine to produce background and answer plots
  351: #
  352: 
  353: sub plot_script {
  354:    my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
  355:    $label=~s/\W//g;
  356:    if (($label) && ($label!~/^[A-Za-z]/)) {
  357:       $label='C'.$label;
  358:    }
  359:    my $visible=0;
  360:    if ($label) {
  361:       $visible="1";
  362:    } else {
  363:       $Apache::functionplotresponse::counter++;
  364:       $label='C'.$Apache::functionplotresponse::counter;
  365:    }
  366:    my $rc=0;
  367:    my $gc=0;
  368:    my $bc=0;
  369:    if ($color) {
  370:       my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
  371:       $rc=hex($rh);
  372:       $gc=hex($gh);
  373:       $bc=hex($bh);
  374:    }
  375:    if ($fixed) {
  376:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
  377:              ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
  378:              ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
  379:              ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
  380:    } else {
  381:        return "document.ggbApplet_$id.evalCommand('y=$function');\n";
  382:    }
  383: }
  384: 
  385: #
  386: # Subroutine to produce objects
  387: #
  388: 
  389: sub plotobject_script {
  390:    my ($id,$label,$x,$y)=@_;
  391:    unless ($label) {
  392:       $Apache::functionplotresponse::counter++;
  393:       $label='O'.$Apache::functionplotresponse::counter;
  394:    }
  395:    &generate_input_field($id,$label,$x,$y);
  396:    return "document.ggbApplet_$id.evalCommand('a=1');\n".
  397:           "document.ggbApplet_$id.setVisible('a', false);\n".
  398:           "document.ggbApplet_$id.setLabelVisible('a', false);\n".
  399:           "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n".
  400:           "document.ggbApplet_$id.setVisible('$label', true);\n".
  401:           "document.ggbApplet_$id.setLabelVisible('$label', true);\n";
  402: }
  403: 
  404: #
  405: # Subroutine to produce vectors
  406: #
  407: 
  408: sub plotvector_script {
  409:    my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax)=@_;
  410:    unless ($label) {
  411:       $Apache::functionplotresponse::counter++;
  412:       $label='V'.$Apache::functionplotresponse::counter;
  413:    }
  414:    my $startlabel=$label.'Start';
  415:    my $endlabel=$label.'End';
  416:    my $pointlabel=$label.'Point';
  417:    my $pointx=2.*($xmax-$xmin)+$xmax;
  418:    my $anglelabel=$label.'Angle';
  419:    return 
  420:        &new_point_coordinate($id,$startlabel,$xs,$ys,0).
  421:        &new_point_coordinate($id,$endlabel,$xe,$ye,0).
  422:        (<<ENDVECTOR);
  423: document.ggbApplet_$id.evalCommand("$label=Vector[$startlabel,$endlabel]");
  424: document.ggbApplet_$id.setLabelVisible("$label",true);
  425: document.ggbApplet_$id.setLineThickness("$label",8);
  426: document.ggbApplet_$id.evalCommand("$pointlabel=($pointx,y($startlabel))");
  427: document.ggbApplet_$id.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
  428: document.ggbApplet_$id.setLabelVisible("$anglelabel",true);
  429: document.ggbApplet_$id.setLabelStyle("$anglelabel",VALUE=2);
  430: ENDVECTOR
  431: }
  432: 
  433: #
  434: # Answer spline display
  435: # 
  436: # points: x,y,slope_x,slope_y
  437: 
  438: sub answer_spline_script {
  439:    my ($id,@points)=@_;
  440:    my $order=int(($#points+1)/4);
  441:    if ($order<2) { $order=2; }
  442:    if ($order>8) { $order=8; }
  443:    $Apache::functionplotresponse::counter++;
  444:    my $label='CSpline'.$Apache::functionplotresponse::counter;
  445:    my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
  446:    for (my $i=0;$i<=$#points;$i+=4) {
  447:       $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
  448:    }
  449:    $output=~s/\,$//;
  450:    $output.=']");'."\n";
  451:    for (my $i=2; $i<2*$order; $i+=2) {
  452:        $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
  453:    }
  454:    for (my $i=1; $i<2*$order; $i+=2) {
  455:        $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
  456:    }
  457: 
  458:    return $output;
  459: }
  460: 
  461: #
  462: # Subroutine that generates code for spline $label based on stored information
  463: #
  464: 
  465: sub generate_spline {
  466:    my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  467:    my $result='';
  468:    my $order=$Apache::functionplotresponse::splineorder{$label};
  469:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  470:    my $y=$Apache::functionplotresponse::splineinity{$label};
  471:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  472:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  473:    my @coords=();
  474:    foreach my $i (1..$order) {
  475:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
  476:        my $xp=$x;
  477:        $x+=$sx/(2.*($order-1));
  478:        push(@coords,$label.'P'.$i);
  479:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
  480:        $x+=$sx/(2.*($order-1));
  481:        push(@coords,$label.'S'.$i);
  482:    }
  483:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  484:    return $result;
  485: }
  486: 
  487: #
  488: # Object
  489: #
  490: 
  491: sub start_plotobject {
  492:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  493:    my $result='';
  494:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  495:    my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
  496:    my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
  497:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  498:    $label=~s/\W//gs;
  499:    $label=ucfirst($label);
  500:    unless ($label) { $label="NewObject"; }
  501:    if ($target eq 'web') {
  502:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  503:       unless (defined($x)) { $x=$xmin; }
  504:       unless (defined($y)) { $y=$ymin; }
  505:       $result.=&plotobject_script($internalid,$label,$x,$y);
  506:    } elsif ($target eq 'edit') {
  507:         $result=&Apache::edit::tag_start($target,$token,'Plot Object').
  508:              &Apache::edit::text_arg('Label on Plot:','label',
  509:                                      $token,'16').
  510:              &Apache::edit::text_arg('x:','x',
  511:                                      $token,'8').
  512:              &Apache::edit::text_arg('y:','y',
  513:                                      $token,'8').
  514:              &Apache::edit::end_row();
  515:   } elsif ($target eq 'modified') {
  516:     $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
  517:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
  518:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  519:   }
  520:   return $result;
  521: }
  522: 
  523: sub end_plotobject {
  524:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  525:    my $result='';
  526:    if ($target eq 'edit') {
  527:        $result=&Apache::edit::end_table();
  528:    }
  529:    return $result;
  530: }
  531: 
  532: #
  533: # Vector
  534: #
  535: 
  536: sub start_plotvector {
  537:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  538:    my $result='';
  539:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  540:    my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
  541:    my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
  542:    my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
  543:    my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
  544: 
  545:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  546:    $label=~s/\W//gs;
  547:    $label=ucfirst($label);
  548:    unless ($label) { $label="NewVector"; }
  549:    if ($target eq 'web') {
  550:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  551:       unless (defined($tailx)) { $tailx=$xmin; }
  552:       unless (defined($taily)) { $taily=$ymin; }
  553:       unless (defined($tipx)) { $tipx=$xmin; }
  554:       unless (defined($tipy)) { $tipy=$ymin; }
  555:       $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax);
  556:    } elsif ($target eq 'edit') {
  557:         $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
  558:              &Apache::edit::text_arg('Label on Plot:','label',
  559:                                      $token,'16').
  560:              &Apache::edit::text_arg('Tail x:','tailx',
  561:                                      $token,'8').
  562:              &Apache::edit::text_arg('Tail y:','taily',
  563:                                      $token,'8').
  564:              &Apache::edit::text_arg('Tip x:','tipx',
  565:                                      $token,'8').
  566:              &Apache::edit::text_arg('Tip y:','tipy',
  567:                                      $token,'8').
  568: 
  569:              &Apache::edit::end_row();
  570:   } elsif ($target eq 'modified') {
  571:     $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
  572:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
  573:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  574:   }
  575:   return $result;
  576: }
  577: 
  578: sub end_plotvector {
  579:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  580:    my $result='';
  581:    if ($target eq 'edit') {
  582:        $result=&Apache::edit::end_table();
  583:    }
  584:    return $result;
  585: }
  586: 
  587: 
  588: 
  589: #
  590: # <backgroundplot function="..." fixed="yes/no" />
  591: #
  592: sub start_backgroundplot {
  593:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  594:    my $result='';
  595:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  596:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  597:    my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
  598:    my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
  599:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  600:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
  601:    $color=~s/[^a-fA-F0-9]//gs;
  602:    unless (length($color)==6) { $color=''; }
  603:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  604:  
  605:    unless ($function) { $function="0"; }
  606:    if ($target eq 'web') {
  607:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  608:       unless (defined($xinitial)) { $xinitial=$xmin; }
  609:       unless (defined($xfinal)) { $xfinal=$xmax; }
  610:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
  611:    } elsif ($target eq 'edit') {
  612:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  613:              &Apache::edit::text_arg('Function:','function',
  614:                                      $token,'16').
  615:              &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
  616:                                      $token,'8').
  617:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  618:                                      $token,'8').
  619:              &Apache::edit::text_arg('Label on Plot:','label',
  620:                                      $token,'8').
  621:              &Apache::edit::text_arg('Color (hex code):','color',
  622:                                      $token,'8').
  623:              &Apache::edit::select_arg('Fixed location:','fixed',
  624:                                   ['yes','no'],$token).
  625:              &Apache::edit::end_row();
  626:   } elsif ($target eq 'modified') {
  627:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  628:                                                  $safeeval,'function','label','xinitial','xfinal','color','fixed');
  629:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  630:   }
  631:   return $result;
  632: }
  633: 
  634: sub end_backgroundplot {
  635:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  636:    my $result='';
  637:    if ($target eq 'edit') {
  638:        $result=&Apache::edit::end_table();
  639:    }
  640:    return $result;
  641: }
  642: 
  643: #
  644: # <functionplotrule ... />
  645: #
  646: sub start_functionplotrule {
  647:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  648:    my $result='';
  649:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  650:    $Apache::functionplotresponse::counter++;
  651:    if ($label=~/\W/) {
  652:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  653:    }
  654:    $label=~s/\W//gs;
  655:    unless ($label) {
  656:       $label='R'.$Apache::functionplotresponse::counter;
  657:    } else {
  658:       $label='R'.$label;
  659:    }
  660: 
  661:    if ($target eq 'grade') {
  662: # Simply remember - in order - for later
  663:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  664:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  665:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  666:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  667:       }
  668:       $beginninglabel=~s/\W//gs;
  669:       $endinglabel=~s/\W//gs;
  670:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  671:       $relationship=~s/\W//gs;
  672:       $relationship=lc($relationship);
  673:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  674:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  675:           $relationship='eq';
  676:       }
  677:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  678:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
  679:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  680:          $derivative=0;
  681:       }
  682:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  683:            $label,
  684:            $derivative,
  685:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  686:            $beginninglabel,
  687:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  688:            $endinglabel,
  689:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  690:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  691:            $relationship,
  692:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  693:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  694:           )));
  695:    } elsif ($target eq 'edit') {
  696:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule').
  697:              &Apache::edit::text_arg('Index/Name:','index',
  698:                                      $token,'10').'&nbsp;'.
  699:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  700:                                   [['0','Function itself'],
  701:                                    ['1','First derivative'],
  702:                                    ['2','Second derivative'],
  703:                                    ['-1','Integral']],$token).'<br />'.
  704:              &Apache::edit::text_arg('Initial x-value:','xinitial',
  705:                                       $token,'8').
  706:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
  707:                                                [['start','Start of Plot'],
  708:                                                 ['end','End of Plot']],$token,'8').'<br />'.
  709: 
  710:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  711:                                       $token,'8').
  712:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
  713:                                                [['end','End of Plot']],$token,'8').'<br />'.
  714:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
  715:                                      $token,'8').
  716:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
  717:                                      $token,'8').'<br />'.
  718:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
  719:                                   [['eq','equal'],
  720:                                    ['ne','not equal'],
  721:                                    ['ge','greater than or equal'],
  722:                                    ['gt','greater than'],
  723:                                    ['lt','less than'],
  724:                                    ['le','less than or equal']],$token).
  725:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  726:                                                [['undef','not defined']],$token,'30').
  727:              &Apache::edit::text_arg('Percent error:','percenterror',
  728:                                      $token,'8').
  729:              &Apache::edit::end_row();
  730:   } elsif ($target eq 'modified') {
  731:     if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
  732:        $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
  733:     }
  734:     if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
  735:        $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
  736:     }
  737:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  738:                                                  $safeeval,'index','derivativeorder',
  739:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  740:                                                            'minimumlength','maximumlength',
  741:                                                            'relationship','value','percenterror');
  742:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  743:    }
  744:    return $result;
  745: }
  746: 
  747: sub end_functionplotrule {
  748:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  749:    my $result='';
  750:    if ($target eq 'edit') {
  751:        $result=&Apache::edit::end_table();
  752:    }
  753:    return $result;
  754: }
  755: 
  756: 
  757: #
  758: # <functionplotvectorrule ... />
  759: #
  760: sub start_functionplotvectorrule {
  761:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  762:    my $result='';
  763:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  764:    $Apache::functionplotresponse::counter++;
  765:    if ($label=~/\W/) {
  766:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  767:    }
  768:    $label=~s/\W//gs;
  769:    unless ($label) {
  770:       $label='R'.$Apache::functionplotresponse::counter;
  771:    } else {
  772:       $label='R'.$label;
  773:    }
  774: 
  775:    if ($target eq 'grade') {
  776: # Simply remember - in order - for later
  777: 
  778:       my $id=$Apache::inputtags::response[-1];
  779:       my $partid=$Apache::inputtags::part;
  780:       my $internalid = $partid.'_'.$id;
  781: 
  782:       my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval);
  783:       $vector=~s/\W//gs;
  784:       $vector=ucfirst($vector);
  785: 
  786:       push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
  787:            $label,
  788:            'vector',
  789:            $internalid,
  790:            $vector,
  791:            &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval),
  792:            &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval),
  793:            &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval),
  794:            &Apache::lonxml::get_param('tippoint',$parstack,$safeeval),
  795:            &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval),
  796:            &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval),
  797:            &Apache::lonxml::get_param('length',$parstack,$safeeval),
  798:            &Apache::lonxml::get_param('angle',$parstack,$safeeval),
  799:            &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
  800:            &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
  801:           )));
  802:    } elsif ($target eq 'edit') {
  803:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule').
  804:              &Apache::edit::text_arg('Index/Name:','index',
  805:                                      $token,'10').'&nbsp;'.
  806:              &Apache::edit::text_arg('Vector:','vector',
  807:                                       $token,'16').'<br />'.
  808:              &Apache::edit::text_arg('Attached to object:','attachpoint',
  809:                                       $token,'16').
  810:              &Apache::edit::text_arg('Not attached to object:','notattachpoint',
  811:                                       $token,'16').'<br />'.
  812:              &Apache::edit::text_arg('Tail attached to object:','tailpoint',
  813:                                       $token,'16').
  814:              &Apache::edit::text_arg('Tip attached to object:','tippoint',
  815:                                       $token,'16').
  816:              &Apache::edit::text_arg('Tail not attached to object:','nottailpoint',
  817:                                       $token,'16').
  818:              &Apache::edit::text_arg('Tip not attached to object:','nottippoint',
  819:                                       $token,'16').'<br />'.
  820:              &Apache::edit::text_arg('Length:','length',
  821:                                      $token,'30').
  822:              &Apache::edit::text_arg('Absolute error length:','lengtherror',
  823:                                      $token,'8').'<br />'.
  824:              &Apache::edit::text_arg('Angle:','angle',
  825:                                      $token,'30').
  826:              &Apache::edit::text_arg('Absolute error angle:','angleerror',
  827:                                      $token,'8').
  828:              &Apache::edit::end_row();
  829:   } elsif ($target eq 'modified') {
  830:     $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')});
  831:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  832:                                                  $safeeval,'index','vector','attachpoint','notattachpoint',
  833:                                                            'tailpoint','tippoint','nottailpoint','nottipoint',
  834:                                                            'length','angle',
  835:                                                            'lengtherror','angleerror');
  836:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  837:    }
  838:    return $result;
  839: }
  840: 
  841: sub end_functionplotvectorrule {
  842:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  843:    my $result='';
  844:    if ($target eq 'edit') {
  845:        $result=&Apache::edit::end_table();
  846:    }
  847:    return $result;
  848: }
  849: 
  850: #
  851: # <functionplotvectorsumrule ... />
  852: #
  853: sub start_functionplotvectorsumrule {
  854:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  855:    my $result='';
  856:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  857:    $Apache::functionplotresponse::counter++;
  858:    if ($label=~/\W/) {
  859:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  860:    }
  861:    $label=~s/\W//gs;
  862:    unless ($label) {
  863:       $label='R'.$Apache::functionplotresponse::counter;
  864:    } else {
  865:       $label='R'.$label;
  866:    }
  867:    if ($target eq 'grade') {
  868: # Simply remember - in order - for later
  869:       my $id=$Apache::inputtags::response[-1];
  870:       my $partid=$Apache::inputtags::part;
  871:       my $internalid = $partid.'_'.$id;
  872:       my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval);
  873:       push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
  874:            $label,
  875:            'sum',
  876:            $internalid,
  877:            $vectors,
  878:            &Apache::lonxml::get_param('length',$parstack,$safeeval),
  879:            &Apache::lonxml::get_param('angle',$parstack,$safeeval),
  880:            &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
  881:            &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
  882:           )));
  883:    } elsif ($target eq 'edit') {
  884:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule').
  885:              &Apache::edit::text_arg('Index/Name:','index',
  886:                                      $token,'10').'&nbsp;'.
  887:              &Apache::edit::text_arg('Comma-separated list of vectors:','vectors',
  888:                                       $token,'30').'<br />'.
  889:              &Apache::edit::text_arg('Sum vector length:','length',
  890:                                      $token,'30').
  891:              &Apache::edit::text_arg('Absolute error length:','lengtherror',
  892:                                      $token,'8').'<br />'.
  893:              &Apache::edit::text_arg('Sum vector angle:','angle',
  894:                                      $token,'30').
  895:              &Apache::edit::text_arg('Absolute error angle:','angleerror',
  896:                                      $token,'8').
  897:              &Apache::edit::end_row();
  898:    } elsif ($target eq 'modified') {
  899:       my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  900:                                                    $safeeval,'index','vectors',
  901:                                                              'length','angle',
  902:                                                              'lengtherror','angleerror');
  903:       if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  904:    }
  905:    return $result;
  906: }
  907: 
  908: sub end_functionplotvectorsumrule {
  909:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  910:    my $result='';
  911:    if ($target eq 'edit') {
  912:        $result=&Apache::edit::end_table();
  913:    }
  914:    return $result;
  915: }
  916: 
  917: #
  918: # <functionplotcustom ... />
  919: #
  920: sub start_functionplotcustomrule {
  921:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  922:    my $result='';
  923:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  924:    $Apache::functionplotresponse::counter++;
  925:    if ($label=~/\W/) {
  926:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  927:    }
  928:    $label=~s/\W//gs;
  929:    unless ($label) {
  930:       $label='R'.$Apache::functionplotresponse::counter;
  931:    } else {
  932:       $label='R'.$label;
  933:    }
  934:    &Apache::lonxml::register('Apache::response',('answer'));
  935:    if ($target eq 'edit') {
  936:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule').
  937:              &Apache::edit::text_arg('Index/Name:','index',$token,'10').
  938:              &Apache::edit::end_row();
  939:   } elsif ($target eq 'modified') {
  940:       my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index');
  941:       if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  942:    }
  943:    return $result;
  944: }
  945: 
  946: sub end_functionplotcustomrule {
  947:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  948:    my $result='';
  949:    if ($target eq 'edit') {
  950:       $result=&Apache::edit::end_table();
  951:    } elsif ($target eq 'grade') {
  952: # Simply remember - in order - for later
  953:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  954:       $Apache::functionplotresponse::counter++;
  955:       if ($label=~/\W/) {
  956:          &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  957:       }
  958:       $label=~s/\W//gs;
  959:       unless ($label) {
  960:          $label='R'.$Apache::functionplotresponse::counter;
  961:       } else {
  962:          $label='R'.$label;
  963:       }
  964:       push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
  965:            $label,
  966:            'custom',
  967:            &escape($Apache::response::custom_answer[-1])
  968:           )));
  969:    }
  970:    &Apache::lonxml::deregister('Apache::response',('answer'));
  971:    return $result;
  972: }
  973: 
  974: 
  975: 
  976: #
  977: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  978: #
  979: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  980: #
  981: sub start_spline {
  982:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  983:    my $result='';
  984:    if ($target eq 'web') {
  985:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  986:       $Apache::functionplotresponse::counter++;
  987:       if ($label=~/\W/) {
  988:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  989:       }
  990:       $label=~s/\W//gs;
  991:       unless ($label) { 
  992:          $label='S'.$Apache::functionplotresponse::counter; 
  993:       } else {
  994:          $label='S'.$label;
  995:       }
  996:       if ($Apache::functionplotresponse::splineorder{$label}) {
  997:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  998:       }
  999: 
 1000:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
 1001:       if ($order<2) { $order=2; }
 1002:       if ($order>8) { $order=8; }
 1003:       $Apache::functionplotresponse::splineorder{$label}=$order;
 1004: 
 1005:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
 1006:       unless ($x) { $x=0; }
 1007:       $Apache::functionplotresponse::splineinitx{$label}=$x;
 1008: 
 1009:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
 1010:       unless ($y) { $y=0; }
 1011:       $Apache::functionplotresponse::splineinity{$label}=$y;
 1012: 
 1013:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
 1014:       unless ($sx) { $sx=$order; }
 1015:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
 1016: 
 1017:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
 1018:       unless ($sy) { $sy=2; }
 1019:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
 1020:    } elsif ($target eq 'edit') {
 1021:         $result=&Apache::edit::tag_start($target,$token,'Spline').
 1022:              &Apache::edit::text_arg('Index:','index',
 1023:                                      $token,'4').'&nbsp;'.
 1024:              &Apache::edit::select_arg('Order:','order',
 1025:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
 1026:              &Apache::edit::text_arg('Initial x-value:','initx',
 1027:                                      $token,'4').'&nbsp;'.
 1028:              &Apache::edit::text_arg('Initial y-value:','inity',
 1029:                                      $token,'4').'&nbsp;'.
 1030:              &Apache::edit::text_arg('Scale x:','scalex',
 1031:                                      $token,'4').'&nbsp;'.
 1032:              &Apache::edit::text_arg('Scale y:','scaley',
 1033:                                      $token,'4').
 1034:              &Apache::edit::end_row();
 1035:   } elsif ($target eq 'modified') {
 1036:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
 1037:                                                  $safeeval,'index','order','initx','inity',
 1038:                                                            'scalex','scaley');
 1039:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
 1040:   }
 1041:   return $result;
 1042: }
 1043: 
 1044: sub end_spline {
 1045:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1046:    my $result='';
 1047:    if ($target eq 'edit') {
 1048:        $result=&Apache::edit::end_table();
 1049:    }
 1050:    return $result;
 1051: }
 1052:  
 1053: sub end_init_script {
 1054:     return (<<ENDENDINIT);
 1055: }
 1056: // ]]>
 1057: </script>
 1058: ENDENDINIT
 1059: }
 1060: 
 1061: #
 1062: # Storing and restoring spline coordinates from part answers
 1063: #
 1064: sub decode_previous_answer {
 1065:    my ($answer)=@_;
 1066:    foreach my $coordinate (split(/\,/,$answer)) {
 1067:       my ($key,$value)=split(/\=/,$coordinate);
 1068:       $Apache::functionplotresponse::previous{$key}=$value;
 1069:    }
 1070: }
 1071: 
 1072: sub get_answer_from_form_fields {
 1073:    my ($id)=@_;
 1074:    my $answer='';
 1075:    my %coords=();
 1076:    foreach my $field (keys(%env)) {
 1077:       if ($field=~/^form\.HWVAL\_$id/) {
 1078:          $field=~/^form\.(.*)$/;
 1079:          $coords{$1}=$env{$field};
 1080:       }
 1081:    }
 1082:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
 1083:    return ($answer,%coords);
 1084: }
 1085: 
 1086: #
 1087: # The following functions calculate the cubic-hermite splines server-side
 1088: #
 1089: 
 1090: sub cubic_hermite {
 1091:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1092:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
 1093:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
 1094: }
 1095: 
 1096: #
 1097: # d/dt(...)
 1098: # 
 1099: 
 1100: sub ddt_cubic_hermite {
 1101:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1102:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
 1103:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
 1104: }
 1105: 
 1106: #
 1107: # d^2/dt^2(...)
 1108: #
 1109: 
 1110: sub d2dt2_cubic_hermite {
 1111:    my ($t,$p1,$s1,$p2,$s2)=@_;
 1112:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
 1113:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
 1114: }
 1115: 
 1116: #
 1117: # Array index calculation
 1118: #
 1119: sub array_index {
 1120:    my ($xmin,$xmax,$x)=@_;
 1121:    if ($x ne '') {
 1122:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
 1123:    } else {
 1124:       return undef;
 1125:    }
 1126: }
 1127: 
 1128: #
 1129: # Populate the arrays
 1130: #
 1131: 
 1132: sub populate_arrays {
 1133:     my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
 1134:     for (my $i=0; $i<=400; $i++) {
 1135:        $Apache::functionplotresponse::actualxval[$i]=undef;
 1136:        $Apache::functionplotresponse::func[$i]=undef;
 1137:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
 1138:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
 1139:     }
 1140:     unless ($xmax>$xmin) { return 'no_func'; }
 1141: # Run over all splines in response
 1142:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
 1143:         my $xiold=-1;
 1144: # Run over all points in spline
 1145:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
 1146:             my $ni=$i+1;
 1147:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
 1148:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
 1149:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
 1150:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
 1151:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
 1152:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
 1153:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
 1154:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
 1155: # Run in small steps over spline parameter
 1156:             for (my $t=0; $t<=1; $t+=0.0001) {
 1157:                 my $xreal=&cubic_hermite($t,@xparms);
 1158:                 my $xi=&array_index($xmin,$xmax,$xreal);
 1159:                 if ($xi<$xiold) { return 'no_func'; }
 1160:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
 1161:                    $xiold=$xi;
 1162:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
 1163: # Function value
 1164:                    my $funcval=&cubic_hermite($t,@yparms);
 1165: 
 1166: # Do we already have a value for this point, and is it different from the new one?
 1167:                    if ((defined($Apache::functionplotresponse::func[$xi])) &&
 1168:                        (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
 1169:                        return 'no_func'; 
 1170:                    }
 1171: # Okay, remember the new point
 1172:                    $Apache::functionplotresponse::func[$xi]=$funcval;
 1173: 
 1174:                    if (defined($funcval)) {
 1175:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
 1176:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
 1177:                       }
 1178:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
 1179:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
 1180:                       }
 1181:                    }
 1182: # Chain rule
 1183: # dy/dx=dy/dt/(dx/dt)
 1184:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
 1185:                    if ($dxdt) {
 1186:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
 1187: # Second derivative
 1188:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
 1189:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
 1190:                          ($dxdt*$dxdt*$dxdt);
 1191:                    }
 1192:                 }
 1193:             }
 1194:         }
 1195:     }
 1196: }
 1197: 
 1198: #
 1199: # Implementation of <functionplotresponse>
 1200: #
 1201: 
 1202: sub start_functionplotresponse {
 1203:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1204:   my $result='';
 1205: # To remember the splines - somehow, they need to come last
 1206:   undef %Apache::functionplotresponse::splineorder;
 1207:   undef %Apache::functionplotresponse::splineinitx;
 1208:   undef %Apache::functionplotresponse::splineinity;
 1209:   undef %Apache::functionplotresponse::splinescalex;
 1210:   undef %Apache::functionplotresponse::splinescaley;
 1211: # Remember input fields, etc
 1212:   undef %Apache::functionplotresponse::previous;
 1213:   $Apache::functionplotresponse::inputfields='';
 1214:   $Apache::functionplotresponse::counter=0;
 1215: # Remember rules
 1216:   undef @Apache::functionplotresponse::functionplotrules;
 1217:   undef @Apache::functionplotresponse::functionplotvectorrules;
 1218: # Remember failed rules
 1219:   if ($target eq 'grade') {
 1220:      undef @Apache::functionplotresponse::failedrules;
 1221:   }
 1222: # Delete previous awards
 1223:   undef $Apache::functionplotresponse::awarddetail;
 1224: # Part and ID
 1225:   my $partid=$Apache::inputtags::part;
 1226:   my $id=&Apache::response::start_response($parstack,$safeeval);
 1227: # Internal ID to mark the applet and its coordinates
 1228:   my $internalid = $partid.'_'.$id;
 1229: # Previous answer
 1230:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
 1231: 
 1232: # Parameters of <functionplotresponse>
 1233:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
 1234:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1235:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1236:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1237:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
 1238:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
 1239:   if ($target eq 'edit') {
 1240:     $result.=&Apache::edit::start_table($token)
 1241:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
 1242:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1243:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1244:        .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1245:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
 1246:        .'</span></td>'
 1247:        ."<td>&nbsp;"
 1248:        .&Apache::edit::end_row()
 1249:        .&Apache::edit::start_spanning_row()
 1250:        ."\n";
 1251:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
 1252:                                      $token,'6').'&nbsp;'.
 1253:              &Apache::edit::text_arg('Minimum x-value:','xmin',
 1254:                                      $token,'4').'&nbsp;'.
 1255:              &Apache::edit::text_arg('Maximum x-value:','xmax',
 1256:                                      $token,'4').'&nbsp;'.
 1257:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
 1258:                                   ['yes','no'],$token).'<br />'.
 1259:              &Apache::edit::text_arg('Label y-axis:','ylabel',
 1260:                                      $token,'6').'&nbsp;'.
 1261:              &Apache::edit::text_arg('Minimum y-value:','ymin',
 1262:                                      $token,'4').'&nbsp;'.
 1263:              &Apache::edit::text_arg('Maximum y-value:','ymax',
 1264:                                      $token,'4').'&nbsp;'.
 1265:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
 1266:                                   ['yes','no'],$token).'<br />'.
 1267:              &Apache::edit::select_arg('Grid visible:','gridvisible',
 1268:                                   ['yes','no'],$token).'<br />'.
 1269:              &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
 1270:                                          'answerdisplay',$token,'50').
 1271:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
 1272:   } elsif ($target eq 'modified') {
 1273:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
 1274:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
 1275:                                                            'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
 1276:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
 1277: 
 1278:   } elsif ($target eq 'meta') {
 1279:        $result=&Apache::response::meta_package_write('functionplotresponse');
 1280:   } elsif (($target eq 'answer') &&
 1281:             ($env{'form.answer_output_mode'} ne 'tex') &&
 1282:             ($Apache::lonhomework::viewgrades == 'F')) {
 1283:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
 1284:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
 1285:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
 1286:                                                {'only_body' => 1,
 1287:                                                 'bgcolor'   => '#FFFFFF',
 1288:                                                 'js_ready'  => 1,});
 1289:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
 1290:       $uname =~s/\W//g;
 1291:       $udom  =~s/\W//g;
 1292:       my $function_name =
 1293:                 join('_','LONCAPA_scriptvars',$uname,$udom,
 1294:                      $env{'form.counter'},$Apache::lonxml::curdepth);
 1295:       my $rules_var ="<script type=\"text/javascript\">
 1296: // <![CDATA[
 1297:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
 1298:     $Apache::functionplotresponse::ruleslog.
 1299:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
 1300: // ]]>
 1301: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
 1302:             &Apache::lonxml::add_script_result($rules_var);
 1303:         }
 1304: 
 1305:   return $result;
 1306: }
 1307: 
 1308: sub compare_rel {
 1309:    my ($relationship,$value,$realval,$tol)=@_;
 1310: # is the real value undefined?
 1311:    unless (defined($realval)) {
 1312: # the real value is not defined
 1313:       if ($relationship eq 'eq') {
 1314:          if ($value eq 'undef') {
 1315:             return 1;
 1316:          } else {
 1317:             return 0;
 1318:          }
 1319:       } elsif ($relationship eq 'ne') {
 1320:          if ($value eq 'undef') {
 1321:             return 0;
 1322:          } else {
 1323:             return 1;
 1324:          }
 1325:       } else {
 1326:          return 0;
 1327:       }
 1328:    }
 1329: 
 1330: # is the expected value undefined?
 1331:    if ($value eq 'undef') {
 1332: # but by now we know that the real value is defined
 1333:       return 0;
 1334:    }
 1335: 
 1336: # both are defined.
 1337:    if ($relationship eq 'gt') {
 1338:       return ($realval>$value);
 1339:    } elsif ($relationship eq 'ge') {
 1340:       return ($realval>$value-$tol);
 1341:    } elsif ($relationship eq 'lt') {
 1342:       return ($realval<$value);
 1343:    } elsif ($relationship eq 'le') {
 1344:       return ($realval<$value+$tol);
 1345:    } elsif ($relationship eq 'ne') {
 1346:       return (abs($value-$realval)>$tol);
 1347:    } else {
 1348:       return (abs($value-$realval)<$tol);
 1349:    }
 1350:    return 0;
 1351: }
 1352: 
 1353: sub addlog {
 1354:    my ($text)=@_;
 1355:    $text=~s/\'/\\\'/g;
 1356:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
 1357: }
 1358: 
 1359: sub actualval {
 1360:    my ($i,$xmin,$xmax)=@_;
 1361:    return $xmin+$i/400.*($xmax-$xmin);
 1362: }
 1363: 
 1364: sub fpr_val {
 1365:    my ($arg)=@_;
 1366:    return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
 1367:                      $Apache::functionplotresponse::fpr_xmin,
 1368:                      $Apache::functionplotresponse::fpr_xmax);
 1369: }
 1370: 
 1371: sub fpr_f {
 1372:    my ($arg)=@_;
 1373:    return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
 1374:                                                            $Apache::functionplotresponse::fpr_xmax,
 1375:                                                            $arg)];
 1376: }
 1377: 
 1378: sub fpr_dfdx {
 1379:    my ($arg)=@_;
 1380:    return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
 1381:                                                               $Apache::functionplotresponse::fpr_xmax,
 1382:                                                               $arg)];
 1383: }
 1384: 
 1385: sub fpr_d2fdx2 {
 1386:    my ($arg)=@_;
 1387:    return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
 1388:                                                                 $Apache::functionplotresponse::fpr_xmax,
 1389:                                                                 $arg)];
 1390: }
 1391: 
 1392: sub fpr_vectorcoords {
 1393:    my ($arg)=@_;
 1394:    $arg=~s/\W//gs;
 1395:    $arg=ucfirst($arg);
 1396:    my $id=$Apache::inputtags::response[-1];
 1397:    my $partid=$Apache::inputtags::part;
 1398:    my $internalid = $partid.'_'.$id;
 1399:    return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'},
 1400:            $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'},
 1401:            $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'},
 1402:            $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'});
 1403: }
 1404: 
 1405: sub fpr_objectcoords {
 1406:    my ($arg)=@_;
 1407:    $arg=~s/\W//gs;
 1408:    $arg=ucfirst($arg);
 1409:    my $id=$Apache::inputtags::response[-1];
 1410:    my $partid=$Apache::inputtags::part;
 1411:    my $internalid = $partid.'_'.$id;
 1412:    return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'},
 1413:            $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'});
 1414: }
 1415: 
 1416: sub fpr_vectorlength {
 1417:    my ($arg)=@_;
 1418:    my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
 1419:    return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys));
 1420: }
 1421: 
 1422: sub fpr_vectorangle {
 1423:    my ($arg)=@_;
 1424:    my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
 1425:    my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs));
 1426:    if ($angle<0) { $angle=360+$angle; }
 1427:    return $angle;
 1428: }
 1429: 
 1430: sub vectorcoords {
 1431:    my ($id,$label)=@_;
 1432:    return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'},
 1433:            $env{'form.HWVAL_'.$id.'_'.$label.'End_x'},
 1434:            $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'},
 1435:            $env{'form.HWVAL_'.$id.'_'.$label.'End_y'});
 1436: }
 1437: 
 1438: sub objectcoords {
 1439:    my ($id,$label)=@_;
 1440:    return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'},
 1441:            $env{'form.HWVAL_'.$id.'_'.$label.'_y'});
 1442: }
 1443: 
 1444: sub attached {
 1445:    my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_;
 1446:    my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector);
 1447:    my $tolx=($xmax-$xmin)/100.;
 1448:    my $toly=($ymax-$ymin)/100.;
 1449:    my $tail=0;
 1450:    my $tip=0;
 1451:    foreach my $obj (split(/\s*\,\s*/,$objects)) {
 1452:       $obj=~s/\W//g;
 1453:       unless ($obj) { next; }
 1454:       $obj=ucfirst($obj);
 1455:       my ($xo,$yo)=&objectcoords($id,$obj);
 1456:       &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)");
 1457:       if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) {
 1458:          $tail=1;
 1459:          &addlog("Attached tail: $obj"); 
 1460:       }
 1461:       if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) { 
 1462:          $tip=1;
 1463:          &addlog("Attached tip: $obj"); 
 1464:       }
 1465:    }
 1466:    &addlog("Result tail:$tail tip:$tip");
 1467:    return($tail,$tip);
 1468: }
 1469: 
 1470:  
 1471: sub vectorangle {
 1472:    my ($x,$y)=@_;
 1473:    my $angle=57.2957795*atan2($y,$x);
 1474:    if ($angle<0) { $angle=360+$angle; }
 1475:    return $angle;
 1476: }
 1477: 
 1478: sub vectorlength {
 1479:    my ($x,$y)=@_;
 1480:    return sqrt($x*$x+$y*$y);
 1481: }
 1482: 
 1483: sub relvector {
 1484:    my ($xs,$xe,$ys,$ye)=@_;
 1485:    return ($xe-$xs,$ye-$ys);
 1486: }
 1487: 
 1488: sub plotvectorlength {
 1489:    return &vectorlength(&relvector(&vectorcoords(@_)));
 1490: }
 1491: 
 1492: sub plotvectorangle {
 1493:    return &vectorangle(&relvector(&vectorcoords(@_)));
 1494: }
 1495: 
 1496: 
 1497: #
 1498: # Evaluate a functionplotvectorrule
 1499: #
 1500: 
 1501: sub functionplotvectorrulecheck {
 1502:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1503:    &addlog("=================");
 1504:    my ($label,$type)=split(/\:/,$rule);
 1505:    if ($type eq 'vector') {
 1506:       return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
 1507:    } elsif ($type eq 'sum') {
 1508:       return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
 1509:    } elsif ($type eq 'custom') {
 1510:       return &customcheck($rule,$safeeval);
 1511:    }
 1512: }
 1513: 
 1514: sub vectorcheck {
 1515:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1516:    my ($label,$type,$id,$vector,
 1517:        $attachpoint,$notattachpoint,
 1518:        $tailpoint,$tippoint,$nottailpoint,$nottippoint,
 1519:        $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
 1520:    &addlog("Vector Rule $label for vector ".$vector);
 1521:    if ($length ne '') {
 1522:       &addlog("Checking for length $length with error $lengtherror");
 1523:       $length=&Apache::run::run($length,$safeeval);
 1524:       &addlog("Length evaluated to $length");
 1525:       my $thislength=&plotvectorlength($id,$vector);
 1526:       &addlog("Found length $thislength");
 1527:       if (abs($thislength-$length)>$lengtherror) {
 1528:          &setfailed($label);
 1529:          return 0;
 1530:       }
 1531:    }
 1532:    if ($angle ne '') {
 1533:       &addlog("Checking for angle $angle with error $angleerror");
 1534:       $angle=&Apache::run::run($angle,$safeeval);
 1535:       &addlog("Angle evaluated to $angle");
 1536:       my $thisangle=&plotvectorangle($id,$vector);
 1537:       &addlog("Found angle $thisangle");
 1538:       my $anglediff=abs($thisangle-$angle);
 1539:       &addlog("Angle difference: $anglediff");
 1540:       if ($anglediff>360.-$anglediff) {
 1541:          $anglediff=360.-$anglediff;
 1542:       }
 1543:       &addlog("Smallest angle difference: $anglediff");
 1544:       if ($anglediff>$angleerror) {
 1545:          &setfailed($label);
 1546:          return 0;
 1547:       }
 1548:    }
 1549:    if ($attachpoint ne '') {
 1550:       &addlog("Checking attached: ".$attachpoint);
 1551:       my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax);
 1552:       unless ($tail || $tip) {
 1553:          &setfailed($label);
 1554:          return 0;
 1555:       }
 1556:    }
 1557:    if ($notattachpoint ne '') {
 1558:       &addlog("Checking not attached: ".$notattachpoint);
 1559:       my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax);
 1560:       if ($tail || $tip) {
 1561:          &setfailed($label);
 1562:          return 0;
 1563:       }
 1564:    }
 1565:    if ($tailpoint ne '') {
 1566:       &addlog("Checking tail: ".$tailpoint);
 1567:       my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax);
 1568:       unless ($tail) {
 1569:          &setfailed($label);
 1570:          return 0;
 1571:       }
 1572:    }
 1573:    if ($nottailpoint ne '') {
 1574:       &addlog("Checking not tail: ".$nottailpoint);
 1575:       my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax);
 1576:       if ($tail) {
 1577:          &setfailed($label);
 1578:          return 0;
 1579:       }
 1580:    }
 1581:    if ($tippoint ne '') {
 1582:       &addlog("Checking tip: ".$tippoint);
 1583:       my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax);
 1584:       unless ($tip) {
 1585:          &setfailed($label);
 1586:          return 0;
 1587:       }
 1588:    }
 1589:    if ($nottippoint ne '') {
 1590:       &addlog("Checking not tip: ".$nottippoint);
 1591:       my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax);
 1592:       if ($tip) {
 1593:          &setfailed($label);
 1594:          return 0;
 1595:       }
 1596:    }
 1597: 
 1598:    &addlog("Rule $label passed.");
 1599:    return 1;
 1600: }
 1601: 
 1602: sub sumcheck {
 1603:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1604:    my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
 1605:    &addlog("Vector Sum Rule $label for vectors ".$vectors);
 1606:    my $sumx=0;
 1607:    my $sumy=0;
 1608:    foreach my $sv (split(/\s*\,\s*/,$vectors)) {
 1609:       my ($rx,$ry)=&relvector(&vectorcoords($id,$sv));
 1610:       $sumx+=$rx;
 1611:       $sumy+=$ry;
 1612:    }
 1613:    &addlog("Sum vector ($sumx,$sumy)");
 1614:    if ($length ne '') {
 1615:       &addlog("Checking length $length with error $lengtherror");
 1616:       $length=&Apache::run::run($length,$safeeval);
 1617:       &addlog("Evaluated to $length");
 1618:       my $thislength=&vectorlength($sumx,$sumy);
 1619:       &addlog("Actual length $thislength");
 1620:       if (abs($length-$thislength)>$lengtherror) {
 1621:                   &setfailed($label);
 1622:          return 0;
 1623:       }
 1624:    }
 1625:    if ($angle ne '') {
 1626:       &addlog("Checking angle $angle with error $angleerror");
 1627:       $angle=&Apache::run::run($angle,$safeeval);
 1628:       &addlog("Evaluated to $angle");
 1629:       my $thisangle=&vectorangle($sumx,$sumy);
 1630:       &addlog("Actual angle $thisangle");
 1631:       my $anglediff=abs($thisangle-$angle);
 1632:       &addlog("Angle difference: $anglediff");
 1633:       if ($anglediff>360.-$anglediff) {
 1634:          $anglediff=360.-$anglediff;
 1635:       }
 1636:       &addlog("Smallest angle difference: $anglediff");
 1637:       if ($anglediff>$angleerror) {
 1638:          &setfailed($label);
 1639:          return 0;
 1640:       }
 1641:    }
 1642:    &addlog("Rule $label passed.");
 1643:    return 1;
 1644: }
 1645: 
 1646: sub customcheck {
 1647:    my ($rule,$safeeval)=@_;
 1648:    my ($label,$type,$prg)=split(/\:/,$rule);
 1649:    &addlog("Custom Rule ".$label);
 1650:    my $result=&Apache::run::run(&unescape($prg),$safeeval);
 1651:    &addlog("Algorithm returned $result");
 1652:    unless ($result) {
 1653:       &setfailed($label);
 1654:       return 0;
 1655:    }
 1656:    &addlog("Rule $label passed.");
 1657:    return 1;
 1658: }
 1659: 
 1660: #
 1661: # Evaluate a functionplotrule
 1662: #
 1663:  
 1664: sub functionplotrulecheck {
 1665:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1666: 
 1667:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
 1668:       =split(/\:/,$rule);
 1669:    $percent=($percent>0?$percent:5);
 1670:    &addlog("=================");
 1671:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
 1672: #
 1673: # Evaluate the value
 1674: #
 1675:    if ($value=~/\D/) {
 1676:       $Apache::functionplotresponse::fpr_xmin=$xmin;
 1677:       $Apache::functionplotresponse::fpr_xmax=$xmax;
 1678:       $value=&Apache::run::run($value,$safeeval);
 1679:       &addlog("Value evaluated to $value");
 1680:    }
 1681: 
 1682: #
 1683: # Minimum and maximum lengths of the interval
 1684: #
 1685:    if ((defined($minimumlength)) || (defined($maximumlength))) {
 1686:       &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
 1687:    }
 1688:    my $li=0;
 1689:    my $lh=400;
 1690: 
 1691: # Special case: the upper boundary was not defined
 1692: # and needs to be set to the value where
 1693: # the condition is not true anymore => set flag
 1694: 
 1695:    my $findupper=0;
 1696:    if (($xfinal eq '')
 1697:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
 1698:     && ($xfinallabel)) {
 1699:        $findupper=1;
 1700:    }
 1701: 
 1702: # if a hard value is set for the boundaries, it overrides the label
 1703:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
 1704:       $li=&array_index($xmin,$xmax,$xinitial);
 1705:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
 1706:    }
 1707:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
 1708:       $lh=&array_index($xmin,$xmax,$xfinal);
 1709:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
 1710:    }
 1711: # if the label is defined, use it
 1712:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
 1713:       &addlog("Using lower label $xinitiallabel");
 1714:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
 1715:    } else {
 1716:       $li=&array_index($xmin,$xmax,$xinitial);
 1717:    }
 1718:    unless ($findupper) {
 1719:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
 1720:          &addlog("Using upper label $xfinallabel");
 1721:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
 1722:       } else {
 1723:          $lh=&array_index($xmin,$xmax,$xfinal);
 1724:       }
 1725:    }
 1726: # Basic sanity checks
 1727:    if ($li<0) { $li=0; }
 1728:    if ($lh>400) { $lh=400; }
 1729:    if (($li>$lh) || (!defined($lh))) {
 1730:        $lh=$li;
 1731:    }
 1732: 
 1733:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
 1734:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
 1735:    if ($findupper) {
 1736:       &addlog("Looking for label $xfinallabel");
 1737:    }
 1738:    my $tol=$percent*($ymax-$ymin)/100;
 1739:    if ($xmax>$xmin) {
 1740:       if ($derivative==2) {
 1741:          $tol=4.*$tol/($xmax-$xmin);
 1742:       } elsif ($derivative==1) {
 1743:          $tol=2.*$tol/($xmax-$xmin);
 1744:       } elsif ($derivative==-1) {
 1745:          $tol=$tol*($xmax-$xmin)/2.;
 1746:       }
 1747:    }
 1748:    my $integral=0;
 1749:    my $binwidth=($xmax-$xmin)/400.;
 1750:    if (($derivative<0) && (!$findupper)) {
 1751: # definite integral, calculate over whole length
 1752:      &addlog("Calculating definite integral");
 1753:      for (my $i=$li; $i<=$lh; $i++) {
 1754:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1755:      }
 1756:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
 1757:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
 1758:         &addlog("Rule $label failed.");
 1759:         &setfailed($label);
 1760:         return 0;
 1761:      } 
 1762:    } else {
 1763:      for (my $i=$li; $i<=$lh; $i++) {
 1764:         my $val;
 1765:         if ($derivative==2) {
 1766:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
 1767:         } elsif ($derivative==1) {
 1768:            $val=$Apache::functionplotresponse::dfuncdx[$i];
 1769:         } elsif ($derivative==-1) {
 1770:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1771:            $val=$integral;      
 1772:         } else {
 1773:            $val=$Apache::functionplotresponse::func[$i];
 1774:         }
 1775:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
 1776:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
 1777:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
 1778:            if (($findupper) && ($i>$li)) {
 1779: # Check lengths
 1780:               unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1781: # Successfully found a new label, set it
 1782:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
 1783:               &addlog("Rule $label passed, setting label $xfinallabel");
 1784:               return 1;
 1785:            } else {
 1786:               &addlog("Rule $label failed.");
 1787:               &setfailed($label);
 1788:               return 0; 
 1789:            }
 1790:         }
 1791:      }
 1792:    }
 1793: # Corner case where this makes sense: using start or stop as defined labels
 1794:    unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1795:    &addlog("Rule $label passed.");
 1796:    return 1;
 1797: }
 1798: 
 1799: #
 1800: # check for minimum and maximum lengths
 1801: #
 1802: 
 1803: sub checklength {
 1804:     my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
 1805:     unless (($minimumlength) || ($maximumlength)) { return 1; }
 1806:     my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
 1807:     if ($minimumlength) {
 1808:        if ($length<$minimumlength) {
 1809:           &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
 1810:           &setfailed($label);
 1811:           return 0;
 1812:        }
 1813:     }
 1814:     if ($maximumlength) {
 1815:        if ($length>$maximumlength) {
 1816:           &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
 1817:           &setfailed($label);
 1818:           return 0;
 1819:        }
 1820:     }
 1821:     return 1;
 1822: }
 1823: 
 1824: sub setfailed {
 1825:    my ($hintlabel)=@_;
 1826:    $hintlabel=~s/^R//;
 1827:    push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1828:    &addlog("Set hint condition $hintlabel");
 1829: }
 1830: 
 1831: sub start_functionplotruleset {
 1832:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1833:    if ($target eq 'edit') {
 1834:       return &Apache::edit::start_table($token).
 1835:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
 1836:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1837:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1838:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1839:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
 1840:        .'</span></td>'
 1841:        ."<td>&nbsp;"
 1842:        .&Apache::edit::end_row()
 1843:        .&Apache::edit::start_spanning_row()
 1844:        ."\n";
 1845:    }
 1846: }
 1847: 
 1848: sub end_functionplotruleset {
 1849:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1850:     my $id=$Apache::inputtags::response[-1];
 1851:     my $partid=$Apache::inputtags::part;
 1852:     my $internalid = $partid.'_'.$id;
 1853: 
 1854:     if ($target eq 'edit' ) {
 1855:         return &Apache::edit::end_table();
 1856:     }  elsif ($target eq 'grade'
 1857:          && &Apache::response::submitted()
 1858:          && $Apache::lonhomework::type ne 'exam') {
 1859: #
 1860: # Actually grade
 1861: #
 1862:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1863: 
 1864:         my $ad='';
 1865:         undef  %Apache::functionplotresponse::functionplotrulelabels;
 1866:         $Apache::functionplotresponse::ruleslog='';
 1867:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
 1868:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
 1869:         if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
 1870:            $ad='NOT_FUNCTION';
 1871:         } else {
 1872:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
 1873:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
 1874:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1875:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1876: 
 1877: # We have a function that we can actually grade, go through the spline rules.
 1878:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1879:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1880:                  $ad='INCORRECT';
 1881:                  last;
 1882:               }
 1883:            }
 1884: # And now go through the vector rules
 1885:            foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) {
 1886:               unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1887:                  $ad='INCORRECT';
 1888:                  last;
 1889:               }
 1890:            }
 1891: # If it's not wrong, it's correct 
 1892:            unless ($ad) { $ad='EXACT_ANS' };
 1893:         }
 1894:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1895:         &addlog("Assigned award detail: $ad");
 1896: # Store for later to be assigned at end_functionplotresponse
 1897:         $Apache::functionplotresponse::awarddetail=$ad;
 1898:      }
 1899: }
 1900: 
 1901: 
 1902: sub end_functionplotresponse {
 1903:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1904:   &Apache::response::end_response;
 1905: 
 1906:   my $result;
 1907:   my $id=$Apache::inputtags::response[-1];
 1908:   my $partid=$Apache::inputtags::part;
 1909:   my $internalid = $partid.'_'.$id;
 1910: 
 1911:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 1912:     if ($target eq 'grade'
 1913:          && &Apache::response::submitted()
 1914:          && $Apache::lonhomework::type eq 'exam') {
 1915: 
 1916:         &Apache::response::scored_response($partid,$id);
 1917: 
 1918:     } elsif ($target eq 'grade'
 1919:          && &Apache::response::submitted()
 1920:          && $Apache::lonhomework::type ne 'exam') {
 1921:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 1922:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 1923:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 1924: #
 1925: # Assign grade
 1926: #
 1927:         my $ad=$Apache::functionplotresponse::awarddetail;
 1928: #
 1929: # Store grading info
 1930: #
 1931:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 1932:         &Apache::response::handle_previous(\%previous,$ad);
 1933:    } elsif ($target eq 'web') {
 1934:         undef @Apache::functionplotresponse::failedrules;
 1935:    }
 1936:    return $result;
 1937: }
 1938: 
 1939: sub end_functionplotelements {
 1940:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1941:   my $result='';
 1942:   my $id=$Apache::inputtags::response[-1];
 1943:   my $partid=$Apache::inputtags::part;
 1944:   my $internalid = $partid.'_'.$id;
 1945:   if ($target eq 'edit' ) {
 1946:      $result=&Apache::edit::end_table();
 1947:   } elsif ($target eq 'web') {
 1948:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1949: 
 1950: # Are we in show answer mode?
 1951:      my $showanswer=&Apache::response::show_answer();
 1952:      if ($showanswer) {
 1953: # Render answerdisplay
 1954:         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
 1955:         if ($answerdisplay=~/\S/s) {
 1956:            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
 1957:               my @components=split(/\s*\:\s*/,$plot);
 1958:               if ($#components<3) {
 1959: # Just a simple plot
 1960:                  my ($func,$xl,$xh)=@components;
 1961:                  if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
 1962:                  if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
 1963:                  $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
 1964:               } else {
 1965: # This is a spline
 1966:                  $result.=&answer_spline_script($internalid,@components);
 1967:               }
 1968:            }
 1969:         }
 1970:      }
 1971:      my $fixed=0;
 1972:      if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
 1973: # Now is the time to render all of the stored splines
 1974:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1975:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
 1976:      }
 1977: # close the init script
 1978:      $result.=&end_init_script();
 1979: # register all splines in this response 
 1980:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 1981:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 1982:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1983:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 1984:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 1985:      }
 1986: # generate the input fields
 1987:      $result.=$Apache::functionplotresponse::inputfields;
 1988: # actually start the <applet>-tag
 1989:      $result.=&geogebra_startcode($internalid);
 1990: # load the spline bytecode
 1991:      $result.=&geogebra_spline_program();
 1992: # set default parameters
 1993:      $result.=&geogebra_default_parameters($internalid);
 1994: # close the <applet>-tag
 1995:      $result.=&geogebra_endcode();
 1996:   }
 1997:   return $result;
 1998: }
 1999: 
 2000: sub boundaries {
 2001:    my ($parstack,$safeeval,$level)=@_;
 2002:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
 2003:    $xmin=(defined($xmin)?$xmin:-10);
 2004:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
 2005:    $xmax=(defined($xmax)?$xmax:10);
 2006:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
 2007:    $ymin=(defined($ymin)?$ymin:-10);
 2008:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
 2009:    $ymax=(defined($ymax)?$ymax:10);
 2010:    if ($xmax<=$xmin) {
 2011:       $xmax=$xmin+20;
 2012:    }
 2013:    if ($ymax<=$ymin) {
 2014:       $ymax=$ymin+20;
 2015:    }
 2016:    return ($xmin,$xmax,$ymin,$ymax);
 2017: }
 2018: 
 2019: sub start_functionplotelements {
 2020:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 2021:    my $result='';
 2022:    my $id=$Apache::inputtags::response[-1];
 2023:    my $partid=$Apache::inputtags::part;
 2024:    my $internalid = $partid.'_'.$id;
 2025: 
 2026:    if ($target eq 'edit') {
 2027:       return &Apache::edit::start_table($token).
 2028:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 2029:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 2030:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 2031:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 2032:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
 2033:        .'</span></td>'
 2034:        ."<td>&nbsp;"
 2035:        .&Apache::edit::end_row()
 2036:        .&Apache::edit::start_spanning_row()
 2037:        ."\n";
 2038:    } elsif ($target eq 'web') {
 2039:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 2040:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 2041:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 2042:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 2043:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 2044:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 2045: 
 2046: 
 2047: # paste in the update routine to receive stuff back from the applet
 2048:      $result.=&update_script($internalid);
 2049: # start the initscript for this applet
 2050:      $result.=&start_init_script($internalid);
 2051: # put the axis commands inside
 2052:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 2053:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
 2054: # init script is left open
 2055:   }
 2056:   return $result;
 2057: }
 2058: 
 2059: 1;
 2060: 
 2061: __END__
 2062:  
 2063: =head1 NAME
 2064: 
 2065: Apache::functionplotresponse.pm;
 2066: 
 2067: =head1 SYNOPSIS
 2068: 
 2069: Handles tags associated with accepting function plots.
 2070: 
 2071: This is part of the LearningOnline Network with CAPA project
 2072: described at http://www.lon-capa.org.
 2073: 
 2074: =head1 HANDLER SUBROUTINE
 2075: 
 2076: start_functionplotresponse()
 2077: 
 2078: =head1 OTHER SUBROUTINES
 2079: 
 2080: =over
 2081: 
 2082: =item end_functionplotresponse()
 2083: 
 2084: =back
 2085: 
 2086: =cut

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