File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.70: download - view: text, annotated - select for diffs
Fri Nov 18 16:39:22 2011 UTC (12 years, 6 months ago) by www
Branches: MAIN
CVS tags: HEAD
Work in progress: objects and vectors

    1: # LearningOnline Network with CAPA
    2: # Functionplot responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.70 2011/11/18 16:39:22 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,$ye)=@_;
  406:    unless ($label) {
  407:       $Apache::functionplotresponse::counter++;
  408:       $label='V'.$Apache::functionplotresponse::counter;
  409:    }
  410:    return(<<ENDVECTOR);
  411: document.ggbApplet1.evalCommand("Gravitystart=(20,0)");
  412: document.ggbApplet1.setVisible("Gravitystart",false);
  413: document.ggbApplet1.setLabelVisible("Gravitystart",false);
  414: document.ggbApplet1.evalCommand("Gravityend=(20,-5)");
  415: document.ggbApplet1.setLabelVisible("Gravityend",false);
  416: document.ggbApplet1.evalCommand("Gravity=Vector[Gravitystart, Gravityend]");
  417: document.ggbApplet1.setLabelVisible("Gravity",true);
  418: document.ggbApplet1.setLineThickness("Gravity",8);
  419: // Displays the Angle
  420: document.ggbApplet1.evalCommand("Gravitypoint=(110,y(Gravitystart))"); //The x-value for this should be 2*(xmax-xmin)+xmax;
  421: document.ggbApplet1.evalCommand("GravityAngle=Angle[Gravitypoint,Gravitystart,Gravityend]");
  422: document.ggbApplet1.setLabelVisible("GravityAngle",true);
  423: document.ggbApplet1.setLabelStyle("GravityAngle",VALUE=2);
  424: // Keeps track of points we care about (This should use the same listener function we use in graph problems)
  425: //document.ggbApplet1.registerObjectUpdateListener('Gravitystart','updatePointCoordinates');
  426: //document.ggbApplet1.registerObjectUpdateListener('Gravityend','updatePointCoordinates');
  427: //document.ggbApplet1.registerObjectUpdateListener('GravityAngle','updatePointCoordinates');
  428: ENDVECTOR
  429: }
  430: 
  431: #
  432: # Answer spline display
  433: # 
  434: # points: x,y,slope_x,slope_y
  435: 
  436: sub answer_spline_script {
  437:    my ($id,@points)=@_;
  438:    my $order=int(($#points+1)/4);
  439:    if ($order<2) { $order=2; }
  440:    if ($order>8) { $order=8; }
  441:    $Apache::functionplotresponse::counter++;
  442:    my $label='CSpline'.$Apache::functionplotresponse::counter;
  443:    my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
  444:    for (my $i=0;$i<=$#points;$i+=4) {
  445:       $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
  446:    }
  447:    $output=~s/\,$//;
  448:    $output.=']");'."\n";
  449:    for (my $i=2; $i<2*$order; $i+=2) {
  450:        $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
  451:    }
  452:    for (my $i=1; $i<2*$order; $i+=2) {
  453:        $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
  454:    }
  455: 
  456:    return $output;
  457: }
  458: 
  459: #
  460: # Subroutine that generates code for spline $label based on stored information
  461: #
  462: 
  463: sub generate_spline {
  464:    my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  465:    my $result='';
  466:    my $order=$Apache::functionplotresponse::splineorder{$label};
  467:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  468:    my $y=$Apache::functionplotresponse::splineinity{$label};
  469:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  470:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  471:    my @coords=();
  472:    foreach my $i (1..$order) {
  473:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
  474:        my $xp=$x;
  475:        $x+=$sx/(2.*($order-1));
  476:        push(@coords,$label.'P'.$i);
  477:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
  478:        $x+=$sx/(2.*($order-1));
  479:        push(@coords,$label.'S'.$i);
  480:    }
  481:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  482:    return $result;
  483: }
  484: 
  485: #
  486: # Object
  487: #
  488: 
  489: sub start_plotobject {
  490:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  491:    my $result='';
  492:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  493:    my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
  494:    my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
  495:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  496:    $label=~s/\W//gs;
  497:    $label=ucfirst($label);
  498:    unless ($label) { $label="NewObject"; }
  499:    if ($target eq 'web') {
  500:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  501:       unless (defined($x)) { $x=$xmin; }
  502:       unless (defined($y)) { $y=$ymin; }
  503:       $result.=&plotobject_script($internalid,$label,$x,$y);
  504:    } elsif ($target eq 'edit') {
  505:         $result=&Apache::edit::tag_start($target,$token,'Plot Object').
  506:              &Apache::edit::text_arg('Label on Plot:','label',
  507:                                      $token,'16').
  508:              &Apache::edit::text_arg('x:','x',
  509:                                      $token,'8').
  510:              &Apache::edit::text_arg('y:','y',
  511:                                      $token,'8').
  512:              &Apache::edit::end_row();
  513:   } elsif ($target eq 'modified') {
  514:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
  515:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  516:   }
  517:   return $result;
  518: }
  519: 
  520: sub end_plotobject {
  521:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  522:    my $result='';
  523:    if ($target eq 'edit') {
  524:        $result=&Apache::edit::end_table();
  525:    }
  526:    return $result;
  527: }
  528: 
  529: 
  530: #
  531: # <backgroundplot function="..." fixed="yes/no" />
  532: #
  533: sub start_backgroundplot {
  534:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  535:    my $result='';
  536:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  537:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  538:    my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
  539:    my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
  540:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  541:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
  542:    $color=~s/[^a-fA-F0-9]//gs;
  543:    unless (length($color)==6) { $color=''; }
  544:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  545:  
  546:    unless ($function) { $function="0"; }
  547:    if ($target eq 'web') {
  548:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  549:       unless (defined($xinitial)) { $xinitial=$xmin; }
  550:       unless (defined($xfinal)) { $xfinal=$xmax; }
  551:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
  552:    } elsif ($target eq 'edit') {
  553:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  554:              &Apache::edit::text_arg('Function:','function',
  555:                                      $token,'16').
  556:              &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
  557:                                      $token,'8').
  558:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  559:                                      $token,'8').
  560:              &Apache::edit::text_arg('Label on Plot:','label',
  561:                                      $token,'8').
  562:              &Apache::edit::text_arg('Color (hex code):','color',
  563:                                      $token,'8').
  564:              &Apache::edit::select_arg('Fixed location:','fixed',
  565:                                   ['yes','no'],$token).
  566:              &Apache::edit::end_row();
  567:   } elsif ($target eq 'modified') {
  568:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  569:                                                  $safeeval,'function','label','xinitial','xfinal','color','fixed');
  570:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  571:   }
  572:   return $result;
  573: }
  574: 
  575: sub end_backgroundplot {
  576:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  577:    my $result='';
  578:    if ($target eq 'edit') {
  579:        $result=&Apache::edit::end_table();
  580:    }
  581:    return $result;
  582: }
  583: 
  584: #
  585: # <functionplotrule ... />
  586: #
  587: sub start_functionplotrule {
  588:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  589:    my $result='';
  590:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  591:    $Apache::functionplotresponse::counter++;
  592:    if ($label=~/\W/) {
  593:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  594:    }
  595:    $label=~s/\W//gs;
  596:    unless ($label) {
  597:       $label='R'.$Apache::functionplotresponse::counter;
  598:    } else {
  599:       $label='R'.$label;
  600:    }
  601:    if ($Apache::functionplotresponse::splineorder{$label}) {
  602:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
  603:    }
  604: 
  605: 
  606:    if ($target eq 'grade') {
  607: # Simply remember - in order - for later
  608:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  609:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  610:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  611:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  612:       }
  613:       $beginninglabel=~s/\W//gs;
  614:       $endinglabel=~s/\W//gs;
  615:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  616:       $relationship=~s/\W//gs;
  617:       $relationship=lc($relationship);
  618:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  619:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  620:           $relationship='eq';
  621:       }
  622:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  623:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
  624:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  625:          $derivative=0;
  626:       }
  627:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  628:            $label,
  629:            $derivative,
  630:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  631:            $beginninglabel,
  632:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  633:            $endinglabel,
  634:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  635:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  636:            $relationship,
  637:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  638:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  639:           )));
  640:    } elsif ($target eq 'edit') {
  641:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
  642:              &Apache::edit::text_arg('Index/Name:','index',
  643:                                      $token,'10').'&nbsp;'.
  644:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  645:                                   [['0','Function itself'],
  646:                                    ['1','First derivative'],
  647:                                    ['2','Second derivative'],
  648:                                    ['-1','Integral']],$token).'<br />'.
  649:              &Apache::edit::text_arg('Initial x-value:','xinitial',
  650:                                       $token,'8').
  651:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
  652:                                                [['start','Start of Plot'],
  653:                                                 ['end','End of Plot']],$token,'8').'<br />'.
  654: 
  655:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  656:                                       $token,'8').
  657:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
  658:                                                [['end','End of Plot']],$token,'8').'<br />'.
  659:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
  660:                                      $token,'8').
  661:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
  662:                                      $token,'8').'<br />'.
  663:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
  664:                                   [['eq','equal'],
  665:                                    ['ne','not equal'],
  666:                                    ['ge','greater than or equal'],
  667:                                    ['gt','greater than'],
  668:                                    ['lt','less than'],
  669:                                    ['le','less than or equal']],$token).
  670:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  671:                                                [['undef','not defined']],$token,'30').
  672:              &Apache::edit::text_arg('Percent error:','percenterror',
  673:                                      $token,'8').
  674:              &Apache::edit::end_row();
  675:   } elsif ($target eq 'modified') {
  676:     if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
  677:        $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
  678:     }
  679:     if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
  680:        $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
  681:     }
  682:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  683:                                                  $safeeval,'index','derivativeorder',
  684:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  685:                                                            'minimumlength','maximumlength',
  686:                                                            'relationship','value','percenterror');
  687:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  688:    }
  689:    return $result;
  690: }
  691: 
  692: sub end_functionplotrule {
  693:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  694:    my $result='';
  695:    if ($target eq 'edit') {
  696:        $result=&Apache::edit::end_table();
  697:    }
  698:    return $result;
  699: }
  700: 
  701: 
  702: #
  703: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  704: #
  705: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  706: #
  707: sub start_spline {
  708:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  709:    my $result='';
  710:    if ($target eq 'web') {
  711:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  712:       $Apache::functionplotresponse::counter++;
  713:       if ($label=~/\W/) {
  714:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  715:       }
  716:       $label=~s/\W//gs;
  717:       unless ($label) { 
  718:          $label='S'.$Apache::functionplotresponse::counter; 
  719:       } else {
  720:          $label='S'.$label;
  721:       }
  722:       if ($Apache::functionplotresponse::splineorder{$label}) {
  723:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  724:       }
  725: 
  726:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
  727:       if ($order<2) { $order=2; }
  728:       if ($order>8) { $order=8; }
  729:       $Apache::functionplotresponse::splineorder{$label}=$order;
  730: 
  731:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
  732:       unless ($x) { $x=0; }
  733:       $Apache::functionplotresponse::splineinitx{$label}=$x;
  734: 
  735:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
  736:       unless ($y) { $y=0; }
  737:       $Apache::functionplotresponse::splineinity{$label}=$y;
  738: 
  739:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
  740:       unless ($sx) { $sx=$order; }
  741:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
  742: 
  743:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
  744:       unless ($sy) { $sy=2; }
  745:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
  746:    } elsif ($target eq 'edit') {
  747:         $result=&Apache::edit::tag_start($target,$token,'Spline').
  748:              &Apache::edit::text_arg('Index:','index',
  749:                                      $token,'4').'&nbsp;'.
  750:              &Apache::edit::select_arg('Order:','order',
  751:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
  752:              &Apache::edit::text_arg('Initial x-value:','initx',
  753:                                      $token,'4').'&nbsp;'.
  754:              &Apache::edit::text_arg('Initial y-value:','inity',
  755:                                      $token,'4').'&nbsp;'.
  756:              &Apache::edit::text_arg('Scale x:','scalex',
  757:                                      $token,'4').'&nbsp;'.
  758:              &Apache::edit::text_arg('Scale y:','scaley',
  759:                                      $token,'4').
  760:              &Apache::edit::end_row();
  761:   } elsif ($target eq 'modified') {
  762:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  763:                                                  $safeeval,'index','order','initx','inity',
  764:                                                            'scalex','scaley');
  765:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  766:   }
  767:   return $result;
  768: }
  769: 
  770: sub end_spline {
  771:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  772:    my $result='';
  773:    if ($target eq 'edit') {
  774:        $result=&Apache::edit::end_table();
  775:    }
  776:    return $result;
  777: }
  778:  
  779: sub end_init_script {
  780:     return (<<ENDENDINIT);
  781: }
  782: // ]]>
  783: </script>
  784: ENDENDINIT
  785: }
  786: 
  787: #
  788: # Storing and restoring spline coordinates from part answers
  789: #
  790: sub decode_previous_answer {
  791:    my ($answer)=@_;
  792:    foreach my $coordinate (split(/\,/,$answer)) {
  793:       my ($key,$value)=split(/\=/,$coordinate);
  794:       $Apache::functionplotresponse::previous{$key}=$value;
  795:    }
  796: }
  797: 
  798: sub get_answer_from_form_fields {
  799:    my ($id)=@_;
  800:    my $answer='';
  801:    my %coords=();
  802:    foreach my $field (keys(%env)) {
  803:       if ($field=~/^form\.HWVAL\_$id/) {
  804:          $field=~/^form\.(.*)$/;
  805:          $coords{$1}=$env{$field};
  806:       }
  807:    }
  808:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
  809:    return ($answer,%coords);
  810: }
  811: 
  812: #
  813: # The following functions calculate the cubic-hermite splines server-side
  814: #
  815: 
  816: sub cubic_hermite {
  817:    my ($t,$p1,$s1,$p2,$s2)=@_;
  818:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
  819:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
  820: }
  821: 
  822: #
  823: # d/dt(...)
  824: # 
  825: 
  826: sub ddt_cubic_hermite {
  827:    my ($t,$p1,$s1,$p2,$s2)=@_;
  828:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
  829:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
  830: }
  831: 
  832: #
  833: # d^2/dt^2(...)
  834: #
  835: 
  836: sub d2dt2_cubic_hermite {
  837:    my ($t,$p1,$s1,$p2,$s2)=@_;
  838:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
  839:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
  840: }
  841: 
  842: #
  843: # Array index calculation
  844: #
  845: sub array_index {
  846:    my ($xmin,$xmax,$x)=@_;
  847:    if ($x ne '') {
  848:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
  849:    } else {
  850:       return undef;
  851:    }
  852: }
  853: 
  854: #
  855: # Populate the arrays
  856: #
  857: 
  858: sub populate_arrays {
  859:     my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
  860:     for (my $i=0; $i<=400; $i++) {
  861:        $Apache::functionplotresponse::actualxval[$i]=undef;
  862:        $Apache::functionplotresponse::func[$i]=undef;
  863:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
  864:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
  865:     }
  866:     unless ($xmax>$xmin) { return 'no_func'; }
  867: # Run over all splines in response
  868:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
  869:         my $xiold=-1;
  870: # Run over all points in spline
  871:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
  872:             my $ni=$i+1;
  873:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
  874:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
  875:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
  876:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
  877:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
  878:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
  879:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
  880:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
  881: # Run in small steps over spline parameter
  882:             for (my $t=0; $t<=1; $t+=0.0001) {
  883:                 my $xreal=&cubic_hermite($t,@xparms);
  884:                 my $xi=&array_index($xmin,$xmax,$xreal);
  885:                 if ($xi<$xiold) { return 'no_func'; }
  886:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
  887:                    $xiold=$xi;
  888:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
  889: # Function value
  890:                    my $funcval=&cubic_hermite($t,@yparms);
  891: 
  892: # Do we already have a value for this point, and is it different from the new one?
  893:                    if ((defined($Apache::functionplotresponse::func[$xi])) &&
  894:                        (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
  895:                        return 'no_func'; 
  896:                    }
  897: # Okay, remember the new point
  898:                    $Apache::functionplotresponse::func[$xi]=$funcval;
  899: 
  900:                    if (defined($funcval)) {
  901:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
  902:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
  903:                       }
  904:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
  905:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
  906:                       }
  907:                    }
  908: # Chain rule
  909: # dy/dx=dy/dt/(dx/dt)
  910:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
  911:                    if ($dxdt) {
  912:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
  913: # Second derivative
  914:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
  915:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
  916:                          ($dxdt*$dxdt*$dxdt);
  917:                    }
  918:                 }
  919:             }
  920:         }
  921:     }
  922: }
  923: 
  924: #
  925: # Implementation of <functionplotresponse>
  926: #
  927: 
  928: sub start_functionplotresponse {
  929:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  930:   my $result='';
  931: # To remember the splines - somehow, they need to come last
  932:   undef %Apache::functionplotresponse::splineorder;
  933:   undef %Apache::functionplotresponse::splineinitx;
  934:   undef %Apache::functionplotresponse::splineinity;
  935:   undef %Apache::functionplotresponse::splinescalex;
  936:   undef %Apache::functionplotresponse::splinescaley;
  937: # Remember input fields, etc
  938:   undef %Apache::functionplotresponse::previous;
  939:   $Apache::functionplotresponse::inputfields='';
  940:   $Apache::functionplotresponse::counter=0;
  941: # Remember rules
  942:   undef @Apache::functionplotresponse::functionplotrules;
  943: # Remember failed rules
  944:   if ($target eq 'grade') {
  945:      undef @Apache::functionplotresponse::failedrules;
  946:   }
  947: # Delete previous awards
  948:   undef $Apache::functionplotresponse::awarddetail;
  949: # Part and ID
  950:   my $partid=$Apache::inputtags::part;
  951:   my $id=&Apache::response::start_response($parstack,$safeeval);
  952: # Internal ID to mark the applet and its coordinates
  953:   my $internalid = $partid.'_'.$id;
  954: # Previous answer
  955:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
  956: 
  957: # Parameters of <functionplotresponse>
  958:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
  959:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  960:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  961:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  962:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
  963:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
  964:   if ($target eq 'edit') {
  965:     $result.=&Apache::edit::start_table($token)
  966:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
  967:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
  968:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
  969:        .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
  970:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
  971:        .'</span></td>'
  972:        ."<td>&nbsp;"
  973:        .&Apache::edit::end_row()
  974:        .&Apache::edit::start_spanning_row()
  975:        ."\n";
  976:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
  977:                                      $token,'6').'&nbsp;'.
  978:              &Apache::edit::text_arg('Minimum x-value:','xmin',
  979:                                      $token,'4').'&nbsp;'.
  980:              &Apache::edit::text_arg('Maximum x-value:','xmax',
  981:                                      $token,'4').'&nbsp;'.
  982:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
  983:                                   ['yes','no'],$token).'<br />'.
  984:              &Apache::edit::text_arg('Label y-axis:','ylabel',
  985:                                      $token,'6').'&nbsp;'.
  986:              &Apache::edit::text_arg('Minimum y-value:','ymin',
  987:                                      $token,'4').'&nbsp;'.
  988:              &Apache::edit::text_arg('Maximum y-value:','ymax',
  989:                                      $token,'4').'&nbsp;'.
  990:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
  991:                                   ['yes','no'],$token).'<br />'.
  992:              &Apache::edit::select_arg('Grid visible:','gridvisible',
  993:                                   ['yes','no'],$token).'<br />'.
  994:              &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
  995:                                          'answerdisplay',$token,'50').
  996:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
  997:   } elsif ($target eq 'modified') {
  998:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  999:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
 1000:                                                            'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
 1001:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
 1002: 
 1003:   } elsif ($target eq 'meta') {
 1004:        $result=&Apache::response::meta_package_write('functionplotresponse');
 1005:   } elsif (($target eq 'answer') &&
 1006:             ($env{'form.answer_output_mode'} ne 'tex') &&
 1007:             ($Apache::lonhomework::viewgrades == 'F')) {
 1008:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
 1009:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
 1010:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
 1011:                                                {'only_body' => 1,
 1012:                                                 'bgcolor'   => '#FFFFFF',
 1013:                                                 'js_ready'  => 1,});
 1014:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
 1015:       $uname =~s/\W//g;
 1016:       $udom  =~s/\W//g;
 1017:       my $function_name =
 1018:                 join('_','LONCAPA_scriptvars',$uname,$udom,
 1019:                      $env{'form.counter'},$Apache::lonxml::curdepth);
 1020:       my $rules_var ="<script type=\"text/javascript\">
 1021: // <![CDATA[
 1022:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
 1023:     $Apache::functionplotresponse::ruleslog.
 1024:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
 1025: // ]]>
 1026: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
 1027:             &Apache::lonxml::add_script_result($rules_var);
 1028:         }
 1029: 
 1030:   return $result;
 1031: }
 1032: 
 1033: sub compare_rel {
 1034:    my ($relationship,$value,$realval,$tol)=@_;
 1035: # is the real value undefined?
 1036:    unless (defined($realval)) {
 1037: # the real value is not defined
 1038:       if ($relationship eq 'eq') {
 1039:          if ($value eq 'undef') {
 1040:             return 1;
 1041:          } else {
 1042:             return 0;
 1043:          }
 1044:       } elsif ($relationship eq 'ne') {
 1045:          if ($value eq 'undef') {
 1046:             return 0;
 1047:          } else {
 1048:             return 1;
 1049:          }
 1050:       } else {
 1051:          return 0;
 1052:       }
 1053:    }
 1054: 
 1055: # is the expected value undefined?
 1056:    if ($value eq 'undef') {
 1057: # but by now we know that the real value is defined
 1058:       return 0;
 1059:    }
 1060: 
 1061: # both are defined.
 1062:    if ($relationship eq 'gt') {
 1063:       return ($realval>$value);
 1064:    } elsif ($relationship eq 'ge') {
 1065:       return ($realval>$value-$tol);
 1066:    } elsif ($relationship eq 'lt') {
 1067:       return ($realval<$value);
 1068:    } elsif ($relationship eq 'le') {
 1069:       return ($realval<$value+$tol);
 1070:    } elsif ($relationship eq 'ne') {
 1071:       return (abs($value-$realval)>$tol);
 1072:    } else {
 1073:       return (abs($value-$realval)<$tol);
 1074:    }
 1075:    return 0;
 1076: }
 1077: 
 1078: sub addlog {
 1079:    my ($text)=@_;
 1080:    $text=~s/\'/\\\'/g;
 1081:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
 1082: }
 1083: 
 1084: sub actualval {
 1085:    my ($i,$xmin,$xmax)=@_;
 1086:    return $xmin+$i/400.*($xmax-$xmin);
 1087: }
 1088: 
 1089: sub fpr_val {
 1090:    my ($arg)=@_;
 1091:    return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
 1092:                      $Apache::functionplotresponse::fpr_xmin,
 1093:                      $Apache::functionplotresponse::fpr_xmax);
 1094: }
 1095: 
 1096: sub fpr_f {
 1097:    my ($arg)=@_;
 1098:    return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
 1099:                                                            $Apache::functionplotresponse::fpr_xmax,
 1100:                                                            $arg)];
 1101: }
 1102: 
 1103: sub fpr_dfdx {
 1104:    my ($arg)=@_;
 1105:    return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
 1106:                                                               $Apache::functionplotresponse::fpr_xmax,
 1107:                                                               $arg)];
 1108: }
 1109: 
 1110: sub fpr_d2fdx2 {
 1111:    my ($arg)=@_;
 1112:    return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
 1113:                                                                 $Apache::functionplotresponse::fpr_xmax,
 1114:                                                                 $arg)];
 1115: }
 1116:  
 1117: sub functionplotrulecheck {
 1118:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1119: 
 1120:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
 1121:       =split(/\:/,$rule);
 1122:    $percent=($percent>0?$percent:5);
 1123:    &addlog("=================");
 1124:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
 1125: #
 1126: # Evaluate the value
 1127: #
 1128:    if ($value=~/\D/) {
 1129:       $Apache::functionplotresponse::fpr_xmin=$xmin;
 1130:       $Apache::functionplotresponse::fpr_xmax=$xmax;
 1131:       $value=&Apache::run::run($value,$safeeval);
 1132:       &addlog("Value evaluated to $value");
 1133:    }
 1134: 
 1135: #
 1136: # Minimum and maximum lengths of the interval
 1137: #
 1138:    if ((defined($minimumlength)) || (defined($maximumlength))) {
 1139:       &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
 1140:    }
 1141:    my $li=0;
 1142:    my $lh=400;
 1143: 
 1144: # Special case: the upper boundary was not defined
 1145: # and needs to be set to the value where
 1146: # the condition is not true anymore => set flag
 1147: 
 1148:    my $findupper=0;
 1149:    if (($xfinal eq '')
 1150:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
 1151:     && ($xfinallabel)) {
 1152:        $findupper=1;
 1153:    }
 1154: 
 1155: # if a hard value is set for the boundaries, it overrides the label
 1156:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
 1157:       $li=&array_index($xmin,$xmax,$xinitial);
 1158:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
 1159:    }
 1160:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
 1161:       $lh=&array_index($xmin,$xmax,$xfinal);
 1162:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
 1163:    }
 1164: # if the label is defined, use it
 1165:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
 1166:       &addlog("Using lower label $xinitiallabel");
 1167:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
 1168:    } else {
 1169:       $li=&array_index($xmin,$xmax,$xinitial);
 1170:    }
 1171:    unless ($findupper) {
 1172:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
 1173:          &addlog("Using upper label $xfinallabel");
 1174:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
 1175:       } else {
 1176:          $lh=&array_index($xmin,$xmax,$xfinal);
 1177:       }
 1178:    }
 1179: # Basic sanity checks
 1180:    if ($li<0) { $li=0; }
 1181:    if ($lh>400) { $lh=400; }
 1182:    if (($li>$lh) || (!defined($lh))) {
 1183:        $lh=$li;
 1184:    }
 1185: 
 1186:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
 1187:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
 1188:    if ($findupper) {
 1189:       &addlog("Looking for label $xfinallabel");
 1190:    }
 1191:    my $tol=$percent*($ymax-$ymin)/100;
 1192:    if ($xmax>$xmin) {
 1193:       if ($derivative==2) {
 1194:          $tol=4.*$tol/($xmax-$xmin);
 1195:       } elsif ($derivative==1) {
 1196:          $tol=2.*$tol/($xmax-$xmin);
 1197:       } elsif ($derivative==-1) {
 1198:          $tol=$tol*($xmax-$xmin)/2.;
 1199:       }
 1200:    }
 1201:    my $integral=0;
 1202:    my $binwidth=($xmax-$xmin)/400.;
 1203:    if (($derivative<0) && (!$findupper)) {
 1204: # definite integral, calculate over whole length
 1205:      &addlog("Calculating definite integral");
 1206:      for (my $i=$li; $i<=$lh; $i++) {
 1207:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1208:      }
 1209:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
 1210:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
 1211:         &addlog("Rule $label failed.");
 1212:         my $hintlabel=$label;
 1213:         $hintlabel=~s/^R//;
 1214:         push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1215:         &addlog("Set hint condition $hintlabel");
 1216:         return 0;
 1217:      } 
 1218:    } else {
 1219:      for (my $i=$li; $i<=$lh; $i++) {
 1220:         my $val;
 1221:         if ($derivative==2) {
 1222:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
 1223:         } elsif ($derivative==1) {
 1224:            $val=$Apache::functionplotresponse::dfuncdx[$i];
 1225:         } elsif ($derivative==-1) {
 1226:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1227:            $val=$integral;      
 1228:         } else {
 1229:            $val=$Apache::functionplotresponse::func[$i];
 1230:         }
 1231:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
 1232:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
 1233:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
 1234:            if (($findupper) && ($i>$li)) {
 1235: # Check lengths
 1236:               unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1237: # Successfully found a new label, set it
 1238:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
 1239:               &addlog("Rule $label passed, setting label $xfinallabel");
 1240:               return 1;
 1241:            } else {
 1242:               &addlog("Rule $label failed.");
 1243:               &setfailed($label);
 1244:               return 0; 
 1245:            }
 1246:         }
 1247:      }
 1248:    }
 1249: # Corner case where this makes sense: using start or stop as defined labels
 1250:    unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1251:    &addlog("Rule $label passed.");
 1252:    return 1;
 1253: }
 1254: 
 1255: #
 1256: # check for minimum and maximum lengths
 1257: #
 1258: 
 1259: sub checklength {
 1260:     my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
 1261:     unless (($minimumlength) || ($maximumlength)) { return 1; }
 1262:     my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
 1263:     if ($minimumlength) {
 1264:        if ($length<$minimumlength) {
 1265:           &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
 1266:           &setfailed($label);
 1267:           return 0;
 1268:        }
 1269:     }
 1270:     if ($maximumlength) {
 1271:        if ($length>$maximumlength) {
 1272:           &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
 1273:           &setfailed($label);
 1274:           return 0;
 1275:        }
 1276:     }
 1277:     return 1;
 1278: }
 1279: 
 1280: sub setfailed {
 1281:    my ($label)=@_;
 1282:    my $hintlabel=$label;
 1283:    $hintlabel=~s/^R//;
 1284:    push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1285:    &addlog("Set hint condition $hintlabel");
 1286: }
 1287: 
 1288: sub start_functionplotruleset {
 1289:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1290:    if ($target eq 'edit') {
 1291:       return &Apache::edit::start_table($token).
 1292:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
 1293:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1294:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1295:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1296:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
 1297:        .'</span></td>'
 1298:        ."<td>&nbsp;"
 1299:        .&Apache::edit::end_row()
 1300:        .&Apache::edit::start_spanning_row()
 1301:        ."\n";
 1302:    }
 1303: }
 1304: 
 1305: sub end_functionplotruleset {
 1306:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1307:     my $id=$Apache::inputtags::response[-1];
 1308:     my $partid=$Apache::inputtags::part;
 1309:     my $internalid = $partid.'_'.$id;
 1310: 
 1311:     if ($target eq 'edit' ) {
 1312:         return &Apache::edit::end_table();
 1313:     }  elsif ($target eq 'grade'
 1314:          && &Apache::response::submitted()
 1315:          && $Apache::lonhomework::type ne 'exam') {
 1316: #
 1317: # Actually grade
 1318: #
 1319:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1320: 
 1321:         my $ad='';
 1322:         undef  %Apache::functionplotresponse::functionplotrulelabels;
 1323:         $Apache::functionplotresponse::ruleslog='';
 1324:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
 1325:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
 1326:         if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
 1327:            $ad='NOT_FUNCTION';
 1328:         } else {
 1329:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
 1330:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
 1331:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1332:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1333: 
 1334: # We have a function that we can actually grade, go through the spline rules.
 1335:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1336:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1337:                  $ad='INCORRECT';
 1338:                  last;
 1339:               }
 1340:            }
 1341: # If it's not wrong, it's correct 
 1342:            unless ($ad) { $ad='EXACT_ANS' };
 1343:         }
 1344:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1345:         &addlog("Assigned award detail: $ad");
 1346: # Store for later to be assigned at end_functionplotresponse
 1347:         $Apache::functionplotresponse::awarddetail=$ad;
 1348:      }
 1349: }
 1350: 
 1351: 
 1352: sub end_functionplotresponse {
 1353:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1354:   &Apache::response::end_response;
 1355: 
 1356:   my $result;
 1357:   my $id=$Apache::inputtags::response[-1];
 1358:   my $partid=$Apache::inputtags::part;
 1359:   my $internalid = $partid.'_'.$id;
 1360: 
 1361:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 1362:     if ($target eq 'grade'
 1363:          && &Apache::response::submitted()
 1364:          && $Apache::lonhomework::type eq 'exam') {
 1365: 
 1366:         &Apache::response::scored_response($partid,$id);
 1367: 
 1368:     } elsif ($target eq 'grade'
 1369:          && &Apache::response::submitted()
 1370:          && $Apache::lonhomework::type ne 'exam') {
 1371:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 1372:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 1373:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 1374: #
 1375: # Assign grade
 1376: #
 1377:         my $ad=$Apache::functionplotresponse::awarddetail;
 1378: #
 1379: # Store grading info
 1380: #
 1381:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 1382:         &Apache::response::handle_previous(\%previous,$ad);
 1383:    } elsif ($target eq 'web') {
 1384:         undef @Apache::functionplotresponse::failedrules;
 1385:    }
 1386:    return $result;
 1387: }
 1388: 
 1389: sub end_functionplotelements {
 1390:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1391:   my $result='';
 1392:   my $id=$Apache::inputtags::response[-1];
 1393:   my $partid=$Apache::inputtags::part;
 1394:   my $internalid = $partid.'_'.$id;
 1395:   if ($target eq 'edit' ) {
 1396:      $result=&Apache::edit::end_table();
 1397:   } elsif ($target eq 'web') {
 1398:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1399: 
 1400: # Are we in show answer mode?
 1401:      my $showanswer=&Apache::response::show_answer();
 1402:      if ($showanswer) {
 1403: # Render answerdisplay
 1404:         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
 1405:         if ($answerdisplay=~/\S/s) {
 1406:            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
 1407:               my @components=split(/\s*\:\s*/,$plot);
 1408:               if ($#components<3) {
 1409: # Just a simple plot
 1410:                  my ($func,$xl,$xh)=@components;
 1411:                  if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
 1412:                  if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
 1413:                  $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
 1414:               } else {
 1415: # This is a spline
 1416:                  $result.=&answer_spline_script($internalid,@components);
 1417:               }
 1418:            }
 1419:         }
 1420:      }
 1421:      my $fixed=0;
 1422:      if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
 1423: # Now is the time to render all of the stored splines
 1424:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1425:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
 1426:      }
 1427: # close the init script
 1428:      $result.=&end_init_script();
 1429: # register all splines in this response 
 1430:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 1431:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 1432:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1433:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 1434:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 1435:      }
 1436: # generate the input fields
 1437:      $result.=$Apache::functionplotresponse::inputfields;
 1438: # actually start the <applet>-tag
 1439:      $result.=&geogebra_startcode($internalid);
 1440: # load the spline bytecode
 1441:      $result.=&geogebra_spline_program();
 1442: # set default parameters
 1443:      $result.=&geogebra_default_parameters($internalid);
 1444: # close the <applet>-tag
 1445:      $result.=&geogebra_endcode();
 1446:   }
 1447:   return $result;
 1448: }
 1449: 
 1450: sub boundaries {
 1451:    my ($parstack,$safeeval,$level)=@_;
 1452:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
 1453:    $xmin=(defined($xmin)?$xmin:-10);
 1454:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
 1455:    $xmax=(defined($xmax)?$xmax:10);
 1456:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
 1457:    $ymin=(defined($ymin)?$ymin:-10);
 1458:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
 1459:    $ymax=(defined($ymax)?$ymax:10);
 1460:    if ($xmax<=$xmin) {
 1461:       $xmax=$xmin+20;
 1462:    }
 1463:    if ($ymax<=$ymin) {
 1464:       $ymax=$ymin+20;
 1465:    }
 1466:    return ($xmin,$xmax,$ymin,$ymax);
 1467: }
 1468: 
 1469: sub start_functionplotelements {
 1470:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1471:    my $result='';
 1472:    my $id=$Apache::inputtags::response[-1];
 1473:    my $partid=$Apache::inputtags::part;
 1474:    my $internalid = $partid.'_'.$id;
 1475: 
 1476:    if ($target eq 'edit') {
 1477:       return &Apache::edit::start_table($token).
 1478:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 1479:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1480:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1481:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1482:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
 1483:        .'</span></td>'
 1484:        ."<td>&nbsp;"
 1485:        .&Apache::edit::end_row()
 1486:        .&Apache::edit::start_spanning_row()
 1487:        ."\n";
 1488:    } elsif ($target eq 'web') {
 1489:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1490:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1491:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1492:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1493:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 1494:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 1495: 
 1496: 
 1497: # paste in the update routine to receive stuff back from the applet
 1498:      $result.=&update_script($internalid);
 1499: # start the initscript for this applet
 1500:      $result.=&start_init_script($internalid);
 1501: # put the axis commands inside
 1502:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 1503:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
 1504: # init script is left open
 1505:   }
 1506:   return $result;
 1507: }
 1508: 
 1509: 1;
 1510: 
 1511: __END__
 1512:  
 1513: =head1 NAME
 1514: 
 1515: Apache::functionplotresponse.pm;
 1516: 
 1517: =head1 SYNOPSIS
 1518: 
 1519: Handles tags associated with accepting function plots.
 1520: 
 1521: This is part of the LearningOnline Network with CAPA project
 1522: described at http://www.lon-capa.org.
 1523: 
 1524: =head1 HANDLER SUBROUTINE
 1525: 
 1526: start_functionplotresponse()
 1527: 
 1528: =head1 OTHER SUBROUTINES
 1529: 
 1530: =over
 1531: 
 1532: =item end_functionplotresponse()
 1533: 
 1534: =back
 1535: 
 1536: =cut

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