File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.74: download - view: text, annotated - select for diffs
Fri Nov 18 19:32:48 2011 UTC (12 years, 6 months ago) by www
Branches: MAIN
CVS tags: HEAD
More elegant way of doing the point coordinates and their updates

    1: # LearningOnline Network with CAPA
    2: # Functionplot responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.74 2011/11/18 19:32:48 www Exp $
    5: #
    6: # Copyright Michigan State University Board of Trustees
    7: #
    8: # This file is part of the LearningOnline Network with CAPA (LON-CAPA).
    9: #
   10: # LON-CAPA is free software; you can redistribute it and/or modify
   11: # it under the terms of the GNU General Public License as published by
   12: # the Free Software Foundation; either version 2 of the License, or
   13: # (at your option) any later version.
   14: #
   15: # LON-CAPA is distributed in the hope that it will be useful,
   16: # but WITHOUT ANY WARRANTY; without even the implied warranty of
   17: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   18: # GNU General Public License for more details.
   19: #
   20: # You should have received a copy of the GNU General Public License
   21: # along with LON-CAPA; if not, write to the Free Software
   22: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
   23: #
   24: # /home/httpd/html/adm/gpl.txt
   25: #
   26: # http://www.lon-capa.org/
   27: #
   28: 
   29: package Apache::functionplotresponse;
   30: use strict;
   31: use Apache::response();
   32: use Apache::lonlocal;
   33: use Apache::lonnet;
   34: use Apache::run;
   35:  
   36: BEGIN {
   37:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
   38:                                                             'plotobject','plotvector',
   39:                                                             'functionplotrule','functionplotruleset',
   40:                                                             'functionplotelements'));
   41: }
   42: 
   43: #
   44: # There can be a number of applets on a page, each called ggbApplet_$id, 
   45: # where $id is the "_"-concatenated part and responseid
   46: #
   47: 
   48: sub geogebra_startcode {
   49:     my ($id)=@_;
   50:     return (<<ENDSTARTCODE);
   51: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   52:          codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
   53:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   54: ENDSTARTCODE
   55: }
   56: 
   57: sub geogebra_endcode {
   58:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   59: }
   60: 
   61: #
   62: # This is the internal GeoGebra bytecode which defines the spline functions
   63: #
   64: sub geogebra_spline_program {
   65:     return (<<ENDSPLINEPROGRAM);
   66: <param name="ggbBase64" value="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"/>
   67: ENDSPLINEPROGRAM
   68: }
   69: 
   70: #
   71: # The standard set of parameters inside <applet>
   72: #
   73: sub geogebra_default_parameters {
   74:    my ($id)=@_;
   75:    return(<<ENDDEFAULTPARAMETERS);
   76:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   77:         <param name="boxborder" value="false"  />
   78:         <param name="centerimage" value="true"  />
   79: 	<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_algos.jar, geogebra_javascript.jar, geogebra_properties.jar, jlatexmath.jar, jlm_cyrillic.jar, jlm_greek.jar" />
   80: 	<param name="cache_version" value="4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0" />
   81:         <param name="framePossible" value="false" />
   82: 
   83:         <param name="showResetIcon" value="false" />
   84:         <param name="showAnimationButton" value="false" />
   85:         <param name="enableRightClick" value="false" />
   86:         <param name="errorDialogsActive" value="true" />
   87:         <param name="enableLabelDrags" value="false" />
   88:         <param name="showMenuBar" value="false" />
   89:         <param name="showToolBar" value="false" />
   90:         <param name="showToolBarHelp" value="false" />
   91:         <param name="showAlgebraInput" value="false" />
   92:         <param name="enableShiftDragZoom" value="false" />
   93:         <param name="allowRescaling" value="false" />
   94:         <param name="enableLabelDrags" value="false" />
   95:         <param name="ggbOnInitParam" value="applet_$id" />
   96: ENDDEFAULTPARAMETERS
   97: }
   98: 
   99: #
  100: # This subroutine is called by LON-CAPA at </problem>
  101: # Each applet on the page will call function ggbOnInit when it is done loading
  102: # This function in turn will call the respective function registered by start_init_script
  103: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  104: #
  105: 
  106: sub init_script {
  107:    if ($#Apache::functionplotresponse::callscripts>=0) {
  108:       my $script='';
  109:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  110:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  111:       }
  112:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  113:                ") { setTimeout('ggbInitAll()',200) }";
  114:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  115:       return (<<ENDGGBINIT);
  116: <script type="text/javascript">
  117: // <![CDATA[
  118: // Function that each applet will call when loaded
  119: // It will pass "its" parameter
  120: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  121: function ggbOnInit(param) {
  122: $script
  123: }
  124: function ggbInitAll() {
  125: $calls
  126: }
  127: // ]]>
  128: </script>
  129: ENDGGBINIT
  130:    }
  131: }
  132: 
  133: #
  134: # Each Geogebra applet is supposed to call this when parameters change
  135: # Changes the hidden fields on the web page
  136: #
  137: sub update_script {
  138:     my ($id)=@_;
  139:     return (<<ENDUPDATESCRIPT);
  140: <script type="text/javascript">
  141: // <![CDATA[
  142: function updatePointCoordinates_$id(coordinateName) {
  143:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  144:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  145:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  146:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  147:         }
  148: // ]]>
  149: </script>
  150: ENDUPDATESCRIPT
  151: }
  152: 
  153: #
  154: # Register the above update-handler for a variable
  155: #
  156: 
  157: sub update_register {
  158:    my ($id,$variable)=@_;
  159:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  160: }
  161: 
  162: #
  163: # Set a point coordinate variable
  164: #
  165: sub set_point_coordinate {
  166:    my ($id,$variable,$x,$y,$fixed)=@_;
  167:    my $mult=($fixed?'a*':'');
  168: # Get rid of wild exponents, make sure it's a number
  169:    $x=1.*$x;
  170:    $y=1.*$y;
  171: # GeoGebra does not understand "E"
  172:    $x=~s/[e|E]/\*10\^/;
  173:    $x=~s/\+//;
  174:    $y=~s/[e|E]/\*10\^/;
  175:    $y=~s/\+//;
  176:    return (<<ENDSETVARIABLE);
  177: document.ggbApplet_$id.evalCommand("a=1");
  178: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
  179: document.ggbApplet_$id.setLabelVisible("$variable",false);
  180: ENDSETVARIABLE
  181: }
  182: 
  183: #
  184: # Set a slope coordinate variable
  185: #
  186: sub set_slope_coordinate {
  187:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
  188:    my $xvariable=$variable.'x';
  189:    my $yvariable=$variable.'y';
  190:    my $domain=$xmax-$xmin;
  191:    my $range=$ymax-$ymin;
  192:    my $xinterval=$domain/100.;
  193:    my $yinterval=$range/200.;
  194:    my $mult=($fixed?'a*':'');
  195:    return (<<ENDSETSVARIABLE);
  196: document.ggbApplet_$id.evalCommand("a=1");
  197: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
  198: document.ggbApplet_$id.setVisible("$xvariable", false);
  199: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
  200: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
  201: document.ggbApplet_$id.setVisible("$yvariable", false);
  202: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
  203: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
  204: document.ggbApplet_$id.setLabelVisible("$variable", false);
  205: ENDSETSVARIABLE
  206: }
  207: 
  208: #
  209: # Input field name for a coordinate variable
  210: #
  211: 
  212: sub field_name {
  213:     my ($id,$variable,$name)=@_;
  214:     return "HWVAL_$id\_$variable\_$name";
  215: }
  216: 
  217: #
  218: # Generate an input field for a coordinate variable
  219: #
  220: 
  221: sub generate_input_field {
  222:     my ($id,$variable,$x,$y)=@_;
  223:     $Apache::functionplotresponse::inputfields.=
  224:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  225:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  226: }
  227: 
  228: #
  229: # Initialize a new point coordinate variable at set a listener on it
  230: #
  231: sub new_point_coordinate {
  232:     my ($id,$variable,$x,$y,$fixed)=@_;
  233:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  234:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  235:     }
  236:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  237:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  238:     }
  239:     &generate_input_field($id,$variable,$x,$y);
  240:     return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
  241: }
  242: 
  243: #
  244: # Initialize a new slope coordinate variable at set a listener on it
  245: #
  246: sub new_slope_coordinate {
  247:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  248: #
  249: # $variable: name of the slope point
  250: # $x, $y: coordinates of the slope point
  251: # $pointname: name of the associated point point
  252: # $xp $yp: coordinates of the point point
  253: #
  254:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  255:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  256:     }
  257:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  258:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  259:     }
  260:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
  261:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
  262:     }
  263:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
  264:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
  265:     }
  266: 
  267:     &generate_input_field($id,$variable,$x,$y);
  268:     my $xrel=$x-$xp;
  269:     my $yrel=$y-$yp;
  270:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
  271: }
  272: 
  273: #
  274: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  275: # It then starts the right headers
  276: #
  277: sub start_init_script {
  278:     my ($id)=@_;
  279: # Add id to the list of ggbInit_$id functions that need to be called
  280:     push(@Apache::functionplotresponse::callscripts,$id);
  281: # ... and open this function
  282:     return (<<ENDSTARTINIT);
  283: <script type="text/javascript">
  284: // <![CDATA[
  285: // variable that will eventually be passed back to the server
  286: var coordinateMap_$id = [];
  287: // flag for not loaded yet
  288: var loaded_$id=false;
  289: // Init-function for applet
  290: function ggbInit_$id() {
  291: ENDSTARTINIT
  292: }
  293: 
  294: #
  295: # This sets the axes inside ggbInit_$id
  296: #
  297: 
  298: sub axes_script {
  299:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  300:     return (<<ENDAXESSCRIPT);
  301:             // changes (xmin, xmax, ymin, ymax)
  302:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  303: 
  304:             // makes the (x,y) axis (in)visible
  305:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  306:             // makes the grid (in)visible
  307:             document.ggbApplet_$id.setGridVisible($gvisible);
  308: ENDAXESSCRIPT
  309: }
  310: 
  311: sub axes_label {
  312:     my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
  313:     unless ($xlabel || $ylabel) { return ''; }
  314:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  315:     if ($xlabel) {
  316:       if (($ymin<0) && ($ymax>0)) {
  317:        $return.=(<<ENDXAXISLABELSCRIPT);
  318: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  319: document.ggbApplet_$id.setVisible("Xlabel",false);
  320: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  321: ENDXAXISLABELSCRIPT
  322:       } else {
  323:        $return.=(<<ENDXOFFAXISLABEL);
  324: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
  325: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
  326: ENDXOFFAXISLABEL
  327:       }
  328:     }
  329:     if ($ylabel) {
  330:       if (($xmin<0) && ($xmax>0)) {
  331:        $return.=(<<ENDYAXISLABELSCRIPT);
  332: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  333: document.ggbApplet_$id.setVisible("Ylabel",false);
  334: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  335: ENDYAXISLABELSCRIPT
  336:       } else {
  337:        $return.=(<<ENDYOFFAXISLABEL);
  338: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
  339: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
  340: ENDYOFFAXISLABEL
  341:       }
  342:     }
  343:     return $return;
  344: }
  345: 
  346: #
  347: # Subroutine to produce background and answer plots
  348: #
  349: 
  350: sub plot_script {
  351:    my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
  352:    $label=~s/\W//g;
  353:    if (($label) && ($label!~/^[A-Za-z]/)) {
  354:       $label='C'.$label;
  355:    }
  356:    my $visible=0;
  357:    if ($label) {
  358:       $visible="1";
  359:    } else {
  360:       $Apache::functionplotresponse::counter++;
  361:       $label='C'.$Apache::functionplotresponse::counter;
  362:    }
  363:    my $rc=0;
  364:    my $gc=0;
  365:    my $bc=0;
  366:    if ($color) {
  367:       my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
  368:       $rc=hex($rh);
  369:       $gc=hex($gh);
  370:       $bc=hex($bh);
  371:    }
  372:    if ($fixed) {
  373:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
  374:              ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
  375:              ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
  376:              ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
  377:    } else {
  378:        return "document.ggbApplet_$id.evalCommand('y=$function');\n";
  379:    }
  380: }
  381: 
  382: #
  383: # Subroutine to produce objects
  384: #
  385: 
  386: sub plotobject_script {
  387:    my ($id,$label,$x,$y)=@_;
  388:    unless ($label) {
  389:       $Apache::functionplotresponse::counter++;
  390:       $label='O'.$Apache::functionplotresponse::counter;
  391:    }
  392:    return "document.ggbApplet_$id.evalCommand('a=1');\n".
  393:           "document.ggbApplet_$id.setVisible('a', false);\n".
  394:           "document.ggbApplet_$id.setLabelVisible('a', false);\n".
  395:           "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n".
  396:           "document.ggbApplet_$id.setVisible('$label', true);\n".
  397:           "document.ggbApplet_$id.setLabelVisible('$label', true);\n";
  398: }
  399: 
  400: #
  401: # Subroutine to produce vectors
  402: #
  403: 
  404: sub plotvector_script {
  405:    my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax)=@_;
  406:    unless ($label) {
  407:       $Apache::functionplotresponse::counter++;
  408:       $label='V'.$Apache::functionplotresponse::counter;
  409:    }
  410:    my $startlabel=$label.'Start';
  411:    my $endlabel=$label.'End';
  412:    my $pointlabel=$label.'Point';
  413:    my $pointx=2.*($xmax-$xmin)+$xmax;
  414:    my $anglelabel=$label.'Angle';
  415:    return 
  416:        &new_point_coordinate($id,$startlabel,$xs,$ys,0).
  417:        &new_point_coordinate($id,$endlabel,$xe,$ye,0).
  418:        (<<ENDVECTOR);
  419: document.ggbApplet_$id.evalCommand("$label=Vector[$startlabel,$endlabel]");
  420: document.ggbApplet_$id.setLabelVisible("$label",true);
  421: document.ggbApplet_$id.setLineThickness("$label",8);
  422: document.ggbApplet_$id.evalCommand("$pointlabel=($pointx,y($startlabel))");
  423: document.ggbApplet_$id.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
  424: document.ggbApplet_$id.setLabelVisible("$anglelabel",true);
  425: document.ggbApplet_$id.setLabelStyle("$anglelabel",VALUE=2);
  426: ENDVECTOR
  427: }
  428: 
  429: #
  430: # Answer spline display
  431: # 
  432: # points: x,y,slope_x,slope_y
  433: 
  434: sub answer_spline_script {
  435:    my ($id,@points)=@_;
  436:    my $order=int(($#points+1)/4);
  437:    if ($order<2) { $order=2; }
  438:    if ($order>8) { $order=8; }
  439:    $Apache::functionplotresponse::counter++;
  440:    my $label='CSpline'.$Apache::functionplotresponse::counter;
  441:    my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
  442:    for (my $i=0;$i<=$#points;$i+=4) {
  443:       $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
  444:    }
  445:    $output=~s/\,$//;
  446:    $output.=']");'."\n";
  447:    for (my $i=2; $i<2*$order; $i+=2) {
  448:        $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
  449:    }
  450:    for (my $i=1; $i<2*$order; $i+=2) {
  451:        $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
  452:    }
  453: 
  454:    return $output;
  455: }
  456: 
  457: #
  458: # Subroutine that generates code for spline $label based on stored information
  459: #
  460: 
  461: sub generate_spline {
  462:    my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  463:    my $result='';
  464:    my $order=$Apache::functionplotresponse::splineorder{$label};
  465:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  466:    my $y=$Apache::functionplotresponse::splineinity{$label};
  467:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  468:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  469:    my @coords=();
  470:    foreach my $i (1..$order) {
  471:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
  472:        my $xp=$x;
  473:        $x+=$sx/(2.*($order-1));
  474:        push(@coords,$label.'P'.$i);
  475:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
  476:        $x+=$sx/(2.*($order-1));
  477:        push(@coords,$label.'S'.$i);
  478:    }
  479:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  480:    return $result;
  481: }
  482: 
  483: #
  484: # Object
  485: #
  486: 
  487: sub start_plotobject {
  488:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  489:    my $result='';
  490:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  491:    my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
  492:    my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
  493:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  494:    $label=~s/\W//gs;
  495:    $label=ucfirst($label);
  496:    unless ($label) { $label="NewObject"; }
  497:    if ($target eq 'web') {
  498:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  499:       unless (defined($x)) { $x=$xmin; }
  500:       unless (defined($y)) { $y=$ymin; }
  501:       $result.=&plotobject_script($internalid,$label,$x,$y);
  502:    } elsif ($target eq 'edit') {
  503:         $result=&Apache::edit::tag_start($target,$token,'Plot Object').
  504:              &Apache::edit::text_arg('Label on Plot:','label',
  505:                                      $token,'16').
  506:              &Apache::edit::text_arg('x:','x',
  507:                                      $token,'8').
  508:              &Apache::edit::text_arg('y:','y',
  509:                                      $token,'8').
  510:              &Apache::edit::end_row();
  511:   } elsif ($target eq 'modified') {
  512:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
  513:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  514:   }
  515:   return $result;
  516: }
  517: 
  518: sub end_plotobject {
  519:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  520:    my $result='';
  521:    if ($target eq 'edit') {
  522:        $result=&Apache::edit::end_table();
  523:    }
  524:    return $result;
  525: }
  526: 
  527: #
  528: # Vector
  529: #
  530: 
  531: sub start_plotvector {
  532:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  533:    my $result='';
  534:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  535:    my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
  536:    my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
  537:    my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
  538:    my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
  539: 
  540:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  541:    $label=~s/\W//gs;
  542:    $label=ucfirst($label);
  543:    unless ($label) { $label="NewVector"; }
  544:    if ($target eq 'web') {
  545:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  546:       unless (defined($tailx)) { $tailx=$xmin; }
  547:       unless (defined($taily)) { $taily=$ymin; }
  548:       unless (defined($tipx)) { $tipx=$xmin; }
  549:       unless (defined($tipy)) { $tipy=$ymin; }
  550:       $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax);
  551:    } elsif ($target eq 'edit') {
  552:         $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
  553:              &Apache::edit::text_arg('Label on Plot:','label',
  554:                                      $token,'16').
  555:              &Apache::edit::text_arg('Tail x:','tailx',
  556:                                      $token,'8').
  557:              &Apache::edit::text_arg('Tail y:','taily',
  558:                                      $token,'8').
  559:              &Apache::edit::text_arg('Tip x:','tipx',
  560:                                      $token,'8').
  561:              &Apache::edit::text_arg('Tip y:','tipy',
  562:                                      $token,'8').
  563: 
  564:              &Apache::edit::end_row();
  565:   } elsif ($target eq 'modified') {
  566:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
  567:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  568:   }
  569:   return $result;
  570: }
  571: 
  572: sub end_plotvector {
  573:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  574:    my $result='';
  575:    if ($target eq 'edit') {
  576:        $result=&Apache::edit::end_table();
  577:    }
  578:    return $result;
  579: }
  580: 
  581: 
  582: 
  583: #
  584: # <backgroundplot function="..." fixed="yes/no" />
  585: #
  586: sub start_backgroundplot {
  587:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  588:    my $result='';
  589:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  590:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  591:    my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
  592:    my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
  593:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  594:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
  595:    $color=~s/[^a-fA-F0-9]//gs;
  596:    unless (length($color)==6) { $color=''; }
  597:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  598:  
  599:    unless ($function) { $function="0"; }
  600:    if ($target eq 'web') {
  601:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  602:       unless (defined($xinitial)) { $xinitial=$xmin; }
  603:       unless (defined($xfinal)) { $xfinal=$xmax; }
  604:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
  605:    } elsif ($target eq 'edit') {
  606:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  607:              &Apache::edit::text_arg('Function:','function',
  608:                                      $token,'16').
  609:              &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
  610:                                      $token,'8').
  611:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  612:                                      $token,'8').
  613:              &Apache::edit::text_arg('Label on Plot:','label',
  614:                                      $token,'8').
  615:              &Apache::edit::text_arg('Color (hex code):','color',
  616:                                      $token,'8').
  617:              &Apache::edit::select_arg('Fixed location:','fixed',
  618:                                   ['yes','no'],$token).
  619:              &Apache::edit::end_row();
  620:   } elsif ($target eq 'modified') {
  621:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  622:                                                  $safeeval,'function','label','xinitial','xfinal','color','fixed');
  623:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  624:   }
  625:   return $result;
  626: }
  627: 
  628: sub end_backgroundplot {
  629:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  630:    my $result='';
  631:    if ($target eq 'edit') {
  632:        $result=&Apache::edit::end_table();
  633:    }
  634:    return $result;
  635: }
  636: 
  637: #
  638: # <functionplotrule ... />
  639: #
  640: sub start_functionplotrule {
  641:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  642:    my $result='';
  643:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  644:    $Apache::functionplotresponse::counter++;
  645:    if ($label=~/\W/) {
  646:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  647:    }
  648:    $label=~s/\W//gs;
  649:    unless ($label) {
  650:       $label='R'.$Apache::functionplotresponse::counter;
  651:    } else {
  652:       $label='R'.$label;
  653:    }
  654:    if ($Apache::functionplotresponse::splineorder{$label}) {
  655:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
  656:    }
  657: 
  658: 
  659:    if ($target eq 'grade') {
  660: # Simply remember - in order - for later
  661:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  662:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  663:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  664:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  665:       }
  666:       $beginninglabel=~s/\W//gs;
  667:       $endinglabel=~s/\W//gs;
  668:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  669:       $relationship=~s/\W//gs;
  670:       $relationship=lc($relationship);
  671:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  672:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  673:           $relationship='eq';
  674:       }
  675:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  676:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
  677:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  678:          $derivative=0;
  679:       }
  680:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  681:            $label,
  682:            $derivative,
  683:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  684:            $beginninglabel,
  685:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  686:            $endinglabel,
  687:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  688:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  689:            $relationship,
  690:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  691:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  692:           )));
  693:    } elsif ($target eq 'edit') {
  694:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
  695:              &Apache::edit::text_arg('Index/Name:','index',
  696:                                      $token,'10').'&nbsp;'.
  697:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  698:                                   [['0','Function itself'],
  699:                                    ['1','First derivative'],
  700:                                    ['2','Second derivative'],
  701:                                    ['-1','Integral']],$token).'<br />'.
  702:              &Apache::edit::text_arg('Initial x-value:','xinitial',
  703:                                       $token,'8').
  704:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
  705:                                                [['start','Start of Plot'],
  706:                                                 ['end','End of Plot']],$token,'8').'<br />'.
  707: 
  708:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  709:                                       $token,'8').
  710:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
  711:                                                [['end','End of Plot']],$token,'8').'<br />'.
  712:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
  713:                                      $token,'8').
  714:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
  715:                                      $token,'8').'<br />'.
  716:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
  717:                                   [['eq','equal'],
  718:                                    ['ne','not equal'],
  719:                                    ['ge','greater than or equal'],
  720:                                    ['gt','greater than'],
  721:                                    ['lt','less than'],
  722:                                    ['le','less than or equal']],$token).
  723:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  724:                                                [['undef','not defined']],$token,'30').
  725:              &Apache::edit::text_arg('Percent error:','percenterror',
  726:                                      $token,'8').
  727:              &Apache::edit::end_row();
  728:   } elsif ($target eq 'modified') {
  729:     if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
  730:        $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
  731:     }
  732:     if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
  733:        $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
  734:     }
  735:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  736:                                                  $safeeval,'index','derivativeorder',
  737:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  738:                                                            'minimumlength','maximumlength',
  739:                                                            'relationship','value','percenterror');
  740:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  741:    }
  742:    return $result;
  743: }
  744: 
  745: sub end_functionplotrule {
  746:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  747:    my $result='';
  748:    if ($target eq 'edit') {
  749:        $result=&Apache::edit::end_table();
  750:    }
  751:    return $result;
  752: }
  753: 
  754: 
  755: #
  756: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  757: #
  758: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  759: #
  760: sub start_spline {
  761:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  762:    my $result='';
  763:    if ($target eq 'web') {
  764:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  765:       $Apache::functionplotresponse::counter++;
  766:       if ($label=~/\W/) {
  767:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  768:       }
  769:       $label=~s/\W//gs;
  770:       unless ($label) { 
  771:          $label='S'.$Apache::functionplotresponse::counter; 
  772:       } else {
  773:          $label='S'.$label;
  774:       }
  775:       if ($Apache::functionplotresponse::splineorder{$label}) {
  776:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  777:       }
  778: 
  779:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
  780:       if ($order<2) { $order=2; }
  781:       if ($order>8) { $order=8; }
  782:       $Apache::functionplotresponse::splineorder{$label}=$order;
  783: 
  784:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
  785:       unless ($x) { $x=0; }
  786:       $Apache::functionplotresponse::splineinitx{$label}=$x;
  787: 
  788:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
  789:       unless ($y) { $y=0; }
  790:       $Apache::functionplotresponse::splineinity{$label}=$y;
  791: 
  792:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
  793:       unless ($sx) { $sx=$order; }
  794:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
  795: 
  796:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
  797:       unless ($sy) { $sy=2; }
  798:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
  799:    } elsif ($target eq 'edit') {
  800:         $result=&Apache::edit::tag_start($target,$token,'Spline').
  801:              &Apache::edit::text_arg('Index:','index',
  802:                                      $token,'4').'&nbsp;'.
  803:              &Apache::edit::select_arg('Order:','order',
  804:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
  805:              &Apache::edit::text_arg('Initial x-value:','initx',
  806:                                      $token,'4').'&nbsp;'.
  807:              &Apache::edit::text_arg('Initial y-value:','inity',
  808:                                      $token,'4').'&nbsp;'.
  809:              &Apache::edit::text_arg('Scale x:','scalex',
  810:                                      $token,'4').'&nbsp;'.
  811:              &Apache::edit::text_arg('Scale y:','scaley',
  812:                                      $token,'4').
  813:              &Apache::edit::end_row();
  814:   } elsif ($target eq 'modified') {
  815:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  816:                                                  $safeeval,'index','order','initx','inity',
  817:                                                            'scalex','scaley');
  818:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  819:   }
  820:   return $result;
  821: }
  822: 
  823: sub end_spline {
  824:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  825:    my $result='';
  826:    if ($target eq 'edit') {
  827:        $result=&Apache::edit::end_table();
  828:    }
  829:    return $result;
  830: }
  831:  
  832: sub end_init_script {
  833:     return (<<ENDENDINIT);
  834: }
  835: // ]]>
  836: </script>
  837: ENDENDINIT
  838: }
  839: 
  840: #
  841: # Storing and restoring spline coordinates from part answers
  842: #
  843: sub decode_previous_answer {
  844:    my ($answer)=@_;
  845:    foreach my $coordinate (split(/\,/,$answer)) {
  846:       my ($key,$value)=split(/\=/,$coordinate);
  847:       $Apache::functionplotresponse::previous{$key}=$value;
  848:    }
  849: }
  850: 
  851: sub get_answer_from_form_fields {
  852:    my ($id)=@_;
  853:    my $answer='';
  854:    my %coords=();
  855:    foreach my $field (keys(%env)) {
  856:       if ($field=~/^form\.HWVAL\_$id/) {
  857:          $field=~/^form\.(.*)$/;
  858:          $coords{$1}=$env{$field};
  859:       }
  860:    }
  861:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
  862:    return ($answer,%coords);
  863: }
  864: 
  865: #
  866: # The following functions calculate the cubic-hermite splines server-side
  867: #
  868: 
  869: sub cubic_hermite {
  870:    my ($t,$p1,$s1,$p2,$s2)=@_;
  871:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
  872:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
  873: }
  874: 
  875: #
  876: # d/dt(...)
  877: # 
  878: 
  879: sub ddt_cubic_hermite {
  880:    my ($t,$p1,$s1,$p2,$s2)=@_;
  881:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
  882:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
  883: }
  884: 
  885: #
  886: # d^2/dt^2(...)
  887: #
  888: 
  889: sub d2dt2_cubic_hermite {
  890:    my ($t,$p1,$s1,$p2,$s2)=@_;
  891:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
  892:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
  893: }
  894: 
  895: #
  896: # Array index calculation
  897: #
  898: sub array_index {
  899:    my ($xmin,$xmax,$x)=@_;
  900:    if ($x ne '') {
  901:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
  902:    } else {
  903:       return undef;
  904:    }
  905: }
  906: 
  907: #
  908: # Populate the arrays
  909: #
  910: 
  911: sub populate_arrays {
  912:     my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
  913:     for (my $i=0; $i<=400; $i++) {
  914:        $Apache::functionplotresponse::actualxval[$i]=undef;
  915:        $Apache::functionplotresponse::func[$i]=undef;
  916:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
  917:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
  918:     }
  919:     unless ($xmax>$xmin) { return 'no_func'; }
  920: # Run over all splines in response
  921:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
  922:         my $xiold=-1;
  923: # Run over all points in spline
  924:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
  925:             my $ni=$i+1;
  926:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
  927:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
  928:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
  929:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
  930:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
  931:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
  932:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
  933:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
  934: # Run in small steps over spline parameter
  935:             for (my $t=0; $t<=1; $t+=0.0001) {
  936:                 my $xreal=&cubic_hermite($t,@xparms);
  937:                 my $xi=&array_index($xmin,$xmax,$xreal);
  938:                 if ($xi<$xiold) { return 'no_func'; }
  939:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
  940:                    $xiold=$xi;
  941:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
  942: # Function value
  943:                    my $funcval=&cubic_hermite($t,@yparms);
  944: 
  945: # Do we already have a value for this point, and is it different from the new one?
  946:                    if ((defined($Apache::functionplotresponse::func[$xi])) &&
  947:                        (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
  948:                        return 'no_func'; 
  949:                    }
  950: # Okay, remember the new point
  951:                    $Apache::functionplotresponse::func[$xi]=$funcval;
  952: 
  953:                    if (defined($funcval)) {
  954:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
  955:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
  956:                       }
  957:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
  958:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
  959:                       }
  960:                    }
  961: # Chain rule
  962: # dy/dx=dy/dt/(dx/dt)
  963:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
  964:                    if ($dxdt) {
  965:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
  966: # Second derivative
  967:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
  968:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
  969:                          ($dxdt*$dxdt*$dxdt);
  970:                    }
  971:                 }
  972:             }
  973:         }
  974:     }
  975: }
  976: 
  977: #
  978: # Implementation of <functionplotresponse>
  979: #
  980: 
  981: sub start_functionplotresponse {
  982:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  983:   my $result='';
  984: # To remember the splines - somehow, they need to come last
  985:   undef %Apache::functionplotresponse::splineorder;
  986:   undef %Apache::functionplotresponse::splineinitx;
  987:   undef %Apache::functionplotresponse::splineinity;
  988:   undef %Apache::functionplotresponse::splinescalex;
  989:   undef %Apache::functionplotresponse::splinescaley;
  990: # Remember input fields, etc
  991:   undef %Apache::functionplotresponse::previous;
  992:   $Apache::functionplotresponse::inputfields='';
  993:   $Apache::functionplotresponse::counter=0;
  994: # Remember rules
  995:   undef @Apache::functionplotresponse::functionplotrules;
  996: # Remember failed rules
  997:   if ($target eq 'grade') {
  998:      undef @Apache::functionplotresponse::failedrules;
  999:   }
 1000: # Delete previous awards
 1001:   undef $Apache::functionplotresponse::awarddetail;
 1002: # Part and ID
 1003:   my $partid=$Apache::inputtags::part;
 1004:   my $id=&Apache::response::start_response($parstack,$safeeval);
 1005: # Internal ID to mark the applet and its coordinates
 1006:   my $internalid = $partid.'_'.$id;
 1007: # Previous answer
 1008:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
 1009: 
 1010: # Parameters of <functionplotresponse>
 1011:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
 1012:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1013:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1014:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
 1015:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
 1016:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
 1017:   if ($target eq 'edit') {
 1018:     $result.=&Apache::edit::start_table($token)
 1019:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
 1020:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1021:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1022:        .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1023:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
 1024:        .'</span></td>'
 1025:        ."<td>&nbsp;"
 1026:        .&Apache::edit::end_row()
 1027:        .&Apache::edit::start_spanning_row()
 1028:        ."\n";
 1029:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
 1030:                                      $token,'6').'&nbsp;'.
 1031:              &Apache::edit::text_arg('Minimum x-value:','xmin',
 1032:                                      $token,'4').'&nbsp;'.
 1033:              &Apache::edit::text_arg('Maximum x-value:','xmax',
 1034:                                      $token,'4').'&nbsp;'.
 1035:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
 1036:                                   ['yes','no'],$token).'<br />'.
 1037:              &Apache::edit::text_arg('Label y-axis:','ylabel',
 1038:                                      $token,'6').'&nbsp;'.
 1039:              &Apache::edit::text_arg('Minimum y-value:','ymin',
 1040:                                      $token,'4').'&nbsp;'.
 1041:              &Apache::edit::text_arg('Maximum y-value:','ymax',
 1042:                                      $token,'4').'&nbsp;'.
 1043:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
 1044:                                   ['yes','no'],$token).'<br />'.
 1045:              &Apache::edit::select_arg('Grid visible:','gridvisible',
 1046:                                   ['yes','no'],$token).'<br />'.
 1047:              &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
 1048:                                          'answerdisplay',$token,'50').
 1049:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
 1050:   } elsif ($target eq 'modified') {
 1051:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
 1052:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
 1053:                                                            'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
 1054:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
 1055: 
 1056:   } elsif ($target eq 'meta') {
 1057:        $result=&Apache::response::meta_package_write('functionplotresponse');
 1058:   } elsif (($target eq 'answer') &&
 1059:             ($env{'form.answer_output_mode'} ne 'tex') &&
 1060:             ($Apache::lonhomework::viewgrades == 'F')) {
 1061:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
 1062:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
 1063:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
 1064:                                                {'only_body' => 1,
 1065:                                                 'bgcolor'   => '#FFFFFF',
 1066:                                                 'js_ready'  => 1,});
 1067:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
 1068:       $uname =~s/\W//g;
 1069:       $udom  =~s/\W//g;
 1070:       my $function_name =
 1071:                 join('_','LONCAPA_scriptvars',$uname,$udom,
 1072:                      $env{'form.counter'},$Apache::lonxml::curdepth);
 1073:       my $rules_var ="<script type=\"text/javascript\">
 1074: // <![CDATA[
 1075:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
 1076:     $Apache::functionplotresponse::ruleslog.
 1077:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
 1078: // ]]>
 1079: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
 1080:             &Apache::lonxml::add_script_result($rules_var);
 1081:         }
 1082: 
 1083:   return $result;
 1084: }
 1085: 
 1086: sub compare_rel {
 1087:    my ($relationship,$value,$realval,$tol)=@_;
 1088: # is the real value undefined?
 1089:    unless (defined($realval)) {
 1090: # the real value is not defined
 1091:       if ($relationship eq 'eq') {
 1092:          if ($value eq 'undef') {
 1093:             return 1;
 1094:          } else {
 1095:             return 0;
 1096:          }
 1097:       } elsif ($relationship eq 'ne') {
 1098:          if ($value eq 'undef') {
 1099:             return 0;
 1100:          } else {
 1101:             return 1;
 1102:          }
 1103:       } else {
 1104:          return 0;
 1105:       }
 1106:    }
 1107: 
 1108: # is the expected value undefined?
 1109:    if ($value eq 'undef') {
 1110: # but by now we know that the real value is defined
 1111:       return 0;
 1112:    }
 1113: 
 1114: # both are defined.
 1115:    if ($relationship eq 'gt') {
 1116:       return ($realval>$value);
 1117:    } elsif ($relationship eq 'ge') {
 1118:       return ($realval>$value-$tol);
 1119:    } elsif ($relationship eq 'lt') {
 1120:       return ($realval<$value);
 1121:    } elsif ($relationship eq 'le') {
 1122:       return ($realval<$value+$tol);
 1123:    } elsif ($relationship eq 'ne') {
 1124:       return (abs($value-$realval)>$tol);
 1125:    } else {
 1126:       return (abs($value-$realval)<$tol);
 1127:    }
 1128:    return 0;
 1129: }
 1130: 
 1131: sub addlog {
 1132:    my ($text)=@_;
 1133:    $text=~s/\'/\\\'/g;
 1134:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
 1135: }
 1136: 
 1137: sub actualval {
 1138:    my ($i,$xmin,$xmax)=@_;
 1139:    return $xmin+$i/400.*($xmax-$xmin);
 1140: }
 1141: 
 1142: sub fpr_val {
 1143:    my ($arg)=@_;
 1144:    return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
 1145:                      $Apache::functionplotresponse::fpr_xmin,
 1146:                      $Apache::functionplotresponse::fpr_xmax);
 1147: }
 1148: 
 1149: sub fpr_f {
 1150:    my ($arg)=@_;
 1151:    return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
 1152:                                                            $Apache::functionplotresponse::fpr_xmax,
 1153:                                                            $arg)];
 1154: }
 1155: 
 1156: sub fpr_dfdx {
 1157:    my ($arg)=@_;
 1158:    return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
 1159:                                                               $Apache::functionplotresponse::fpr_xmax,
 1160:                                                               $arg)];
 1161: }
 1162: 
 1163: sub fpr_d2fdx2 {
 1164:    my ($arg)=@_;
 1165:    return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
 1166:                                                                 $Apache::functionplotresponse::fpr_xmax,
 1167:                                                                 $arg)];
 1168: }
 1169:  
 1170: sub functionplotrulecheck {
 1171:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1172: 
 1173:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
 1174:       =split(/\:/,$rule);
 1175:    $percent=($percent>0?$percent:5);
 1176:    &addlog("=================");
 1177:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
 1178: #
 1179: # Evaluate the value
 1180: #
 1181:    if ($value=~/\D/) {
 1182:       $Apache::functionplotresponse::fpr_xmin=$xmin;
 1183:       $Apache::functionplotresponse::fpr_xmax=$xmax;
 1184:       $value=&Apache::run::run($value,$safeeval);
 1185:       &addlog("Value evaluated to $value");
 1186:    }
 1187: 
 1188: #
 1189: # Minimum and maximum lengths of the interval
 1190: #
 1191:    if ((defined($minimumlength)) || (defined($maximumlength))) {
 1192:       &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
 1193:    }
 1194:    my $li=0;
 1195:    my $lh=400;
 1196: 
 1197: # Special case: the upper boundary was not defined
 1198: # and needs to be set to the value where
 1199: # the condition is not true anymore => set flag
 1200: 
 1201:    my $findupper=0;
 1202:    if (($xfinal eq '')
 1203:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
 1204:     && ($xfinallabel)) {
 1205:        $findupper=1;
 1206:    }
 1207: 
 1208: # if a hard value is set for the boundaries, it overrides the label
 1209:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
 1210:       $li=&array_index($xmin,$xmax,$xinitial);
 1211:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
 1212:    }
 1213:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
 1214:       $lh=&array_index($xmin,$xmax,$xfinal);
 1215:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
 1216:    }
 1217: # if the label is defined, use it
 1218:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
 1219:       &addlog("Using lower label $xinitiallabel");
 1220:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
 1221:    } else {
 1222:       $li=&array_index($xmin,$xmax,$xinitial);
 1223:    }
 1224:    unless ($findupper) {
 1225:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
 1226:          &addlog("Using upper label $xfinallabel");
 1227:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
 1228:       } else {
 1229:          $lh=&array_index($xmin,$xmax,$xfinal);
 1230:       }
 1231:    }
 1232: # Basic sanity checks
 1233:    if ($li<0) { $li=0; }
 1234:    if ($lh>400) { $lh=400; }
 1235:    if (($li>$lh) || (!defined($lh))) {
 1236:        $lh=$li;
 1237:    }
 1238: 
 1239:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
 1240:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
 1241:    if ($findupper) {
 1242:       &addlog("Looking for label $xfinallabel");
 1243:    }
 1244:    my $tol=$percent*($ymax-$ymin)/100;
 1245:    if ($xmax>$xmin) {
 1246:       if ($derivative==2) {
 1247:          $tol=4.*$tol/($xmax-$xmin);
 1248:       } elsif ($derivative==1) {
 1249:          $tol=2.*$tol/($xmax-$xmin);
 1250:       } elsif ($derivative==-1) {
 1251:          $tol=$tol*($xmax-$xmin)/2.;
 1252:       }
 1253:    }
 1254:    my $integral=0;
 1255:    my $binwidth=($xmax-$xmin)/400.;
 1256:    if (($derivative<0) && (!$findupper)) {
 1257: # definite integral, calculate over whole length
 1258:      &addlog("Calculating definite integral");
 1259:      for (my $i=$li; $i<=$lh; $i++) {
 1260:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1261:      }
 1262:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
 1263:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
 1264:         &addlog("Rule $label failed.");
 1265:         my $hintlabel=$label;
 1266:         $hintlabel=~s/^R//;
 1267:         push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1268:         &addlog("Set hint condition $hintlabel");
 1269:         return 0;
 1270:      } 
 1271:    } else {
 1272:      for (my $i=$li; $i<=$lh; $i++) {
 1273:         my $val;
 1274:         if ($derivative==2) {
 1275:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
 1276:         } elsif ($derivative==1) {
 1277:            $val=$Apache::functionplotresponse::dfuncdx[$i];
 1278:         } elsif ($derivative==-1) {
 1279:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1280:            $val=$integral;      
 1281:         } else {
 1282:            $val=$Apache::functionplotresponse::func[$i];
 1283:         }
 1284:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
 1285:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
 1286:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
 1287:            if (($findupper) && ($i>$li)) {
 1288: # Check lengths
 1289:               unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1290: # Successfully found a new label, set it
 1291:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
 1292:               &addlog("Rule $label passed, setting label $xfinallabel");
 1293:               return 1;
 1294:            } else {
 1295:               &addlog("Rule $label failed.");
 1296:               &setfailed($label);
 1297:               return 0; 
 1298:            }
 1299:         }
 1300:      }
 1301:    }
 1302: # Corner case where this makes sense: using start or stop as defined labels
 1303:    unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1304:    &addlog("Rule $label passed.");
 1305:    return 1;
 1306: }
 1307: 
 1308: #
 1309: # check for minimum and maximum lengths
 1310: #
 1311: 
 1312: sub checklength {
 1313:     my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
 1314:     unless (($minimumlength) || ($maximumlength)) { return 1; }
 1315:     my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
 1316:     if ($minimumlength) {
 1317:        if ($length<$minimumlength) {
 1318:           &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
 1319:           &setfailed($label);
 1320:           return 0;
 1321:        }
 1322:     }
 1323:     if ($maximumlength) {
 1324:        if ($length>$maximumlength) {
 1325:           &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
 1326:           &setfailed($label);
 1327:           return 0;
 1328:        }
 1329:     }
 1330:     return 1;
 1331: }
 1332: 
 1333: sub setfailed {
 1334:    my ($label)=@_;
 1335:    my $hintlabel=$label;
 1336:    $hintlabel=~s/^R//;
 1337:    push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1338:    &addlog("Set hint condition $hintlabel");
 1339: }
 1340: 
 1341: sub start_functionplotruleset {
 1342:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1343:    if ($target eq 'edit') {
 1344:       return &Apache::edit::start_table($token).
 1345:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
 1346:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1347:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1348:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1349:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
 1350:        .'</span></td>'
 1351:        ."<td>&nbsp;"
 1352:        .&Apache::edit::end_row()
 1353:        .&Apache::edit::start_spanning_row()
 1354:        ."\n";
 1355:    }
 1356: }
 1357: 
 1358: sub end_functionplotruleset {
 1359:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1360:     my $id=$Apache::inputtags::response[-1];
 1361:     my $partid=$Apache::inputtags::part;
 1362:     my $internalid = $partid.'_'.$id;
 1363: 
 1364:     if ($target eq 'edit' ) {
 1365:         return &Apache::edit::end_table();
 1366:     }  elsif ($target eq 'grade'
 1367:          && &Apache::response::submitted()
 1368:          && $Apache::lonhomework::type ne 'exam') {
 1369: #
 1370: # Actually grade
 1371: #
 1372:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1373: 
 1374:         my $ad='';
 1375:         undef  %Apache::functionplotresponse::functionplotrulelabels;
 1376:         $Apache::functionplotresponse::ruleslog='';
 1377:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
 1378:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
 1379:         if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
 1380:            $ad='NOT_FUNCTION';
 1381:         } else {
 1382:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
 1383:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
 1384:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1385:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1386: 
 1387: # We have a function that we can actually grade, go through the spline rules.
 1388:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1389:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1390:                  $ad='INCORRECT';
 1391:                  last;
 1392:               }
 1393:            }
 1394: # If it's not wrong, it's correct 
 1395:            unless ($ad) { $ad='EXACT_ANS' };
 1396:         }
 1397:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1398:         &addlog("Assigned award detail: $ad");
 1399: # Store for later to be assigned at end_functionplotresponse
 1400:         $Apache::functionplotresponse::awarddetail=$ad;
 1401:      }
 1402: }
 1403: 
 1404: 
 1405: sub end_functionplotresponse {
 1406:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1407:   &Apache::response::end_response;
 1408: 
 1409:   my $result;
 1410:   my $id=$Apache::inputtags::response[-1];
 1411:   my $partid=$Apache::inputtags::part;
 1412:   my $internalid = $partid.'_'.$id;
 1413: 
 1414:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 1415:     if ($target eq 'grade'
 1416:          && &Apache::response::submitted()
 1417:          && $Apache::lonhomework::type eq 'exam') {
 1418: 
 1419:         &Apache::response::scored_response($partid,$id);
 1420: 
 1421:     } elsif ($target eq 'grade'
 1422:          && &Apache::response::submitted()
 1423:          && $Apache::lonhomework::type ne 'exam') {
 1424:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 1425:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 1426:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 1427: #
 1428: # Assign grade
 1429: #
 1430:         my $ad=$Apache::functionplotresponse::awarddetail;
 1431: #
 1432: # Store grading info
 1433: #
 1434:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 1435:         &Apache::response::handle_previous(\%previous,$ad);
 1436:    } elsif ($target eq 'web') {
 1437:         undef @Apache::functionplotresponse::failedrules;
 1438:    }
 1439:    return $result;
 1440: }
 1441: 
 1442: sub end_functionplotelements {
 1443:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1444:   my $result='';
 1445:   my $id=$Apache::inputtags::response[-1];
 1446:   my $partid=$Apache::inputtags::part;
 1447:   my $internalid = $partid.'_'.$id;
 1448:   if ($target eq 'edit' ) {
 1449:      $result=&Apache::edit::end_table();
 1450:   } elsif ($target eq 'web') {
 1451:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1452: 
 1453: # Are we in show answer mode?
 1454:      my $showanswer=&Apache::response::show_answer();
 1455:      if ($showanswer) {
 1456: # Render answerdisplay
 1457:         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
 1458:         if ($answerdisplay=~/\S/s) {
 1459:            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
 1460:               my @components=split(/\s*\:\s*/,$plot);
 1461:               if ($#components<3) {
 1462: # Just a simple plot
 1463:                  my ($func,$xl,$xh)=@components;
 1464:                  if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
 1465:                  if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
 1466:                  $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
 1467:               } else {
 1468: # This is a spline
 1469:                  $result.=&answer_spline_script($internalid,@components);
 1470:               }
 1471:            }
 1472:         }
 1473:      }
 1474:      my $fixed=0;
 1475:      if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
 1476: # Now is the time to render all of the stored splines
 1477:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1478:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
 1479:      }
 1480: # close the init script
 1481:      $result.=&end_init_script();
 1482: # register all splines in this response 
 1483:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 1484:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 1485:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1486:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 1487:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 1488:      }
 1489: # generate the input fields
 1490:      $result.=$Apache::functionplotresponse::inputfields;
 1491: # actually start the <applet>-tag
 1492:      $result.=&geogebra_startcode($internalid);
 1493: # load the spline bytecode
 1494:      $result.=&geogebra_spline_program();
 1495: # set default parameters
 1496:      $result.=&geogebra_default_parameters($internalid);
 1497: # close the <applet>-tag
 1498:      $result.=&geogebra_endcode();
 1499:   }
 1500:   return $result;
 1501: }
 1502: 
 1503: sub boundaries {
 1504:    my ($parstack,$safeeval,$level)=@_;
 1505:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
 1506:    $xmin=(defined($xmin)?$xmin:-10);
 1507:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
 1508:    $xmax=(defined($xmax)?$xmax:10);
 1509:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
 1510:    $ymin=(defined($ymin)?$ymin:-10);
 1511:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
 1512:    $ymax=(defined($ymax)?$ymax:10);
 1513:    if ($xmax<=$xmin) {
 1514:       $xmax=$xmin+20;
 1515:    }
 1516:    if ($ymax<=$ymin) {
 1517:       $ymax=$ymin+20;
 1518:    }
 1519:    return ($xmin,$xmax,$ymin,$ymax);
 1520: }
 1521: 
 1522: sub start_functionplotelements {
 1523:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1524:    my $result='';
 1525:    my $id=$Apache::inputtags::response[-1];
 1526:    my $partid=$Apache::inputtags::part;
 1527:    my $internalid = $partid.'_'.$id;
 1528: 
 1529:    if ($target eq 'edit') {
 1530:       return &Apache::edit::start_table($token).
 1531:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 1532:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1533:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1534:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1535:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
 1536:        .'</span></td>'
 1537:        ."<td>&nbsp;"
 1538:        .&Apache::edit::end_row()
 1539:        .&Apache::edit::start_spanning_row()
 1540:        ."\n";
 1541:    } elsif ($target eq 'web') {
 1542:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1543:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1544:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1545:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1546:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 1547:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 1548: 
 1549: 
 1550: # paste in the update routine to receive stuff back from the applet
 1551:      $result.=&update_script($internalid);
 1552: # start the initscript for this applet
 1553:      $result.=&start_init_script($internalid);
 1554: # put the axis commands inside
 1555:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 1556:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
 1557: # init script is left open
 1558:   }
 1559:   return $result;
 1560: }
 1561: 
 1562: 1;
 1563: 
 1564: __END__
 1565:  
 1566: =head1 NAME
 1567: 
 1568: Apache::functionplotresponse.pm;
 1569: 
 1570: =head1 SYNOPSIS
 1571: 
 1572: Handles tags associated with accepting function plots.
 1573: 
 1574: This is part of the LearningOnline Network with CAPA project
 1575: described at http://www.lon-capa.org.
 1576: 
 1577: =head1 HANDLER SUBROUTINE
 1578: 
 1579: start_functionplotresponse()
 1580: 
 1581: =head1 OTHER SUBROUTINES
 1582: 
 1583: =over
 1584: 
 1585: =item end_functionplotresponse()
 1586: 
 1587: =back
 1588: 
 1589: =cut

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