File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.68: download - view: text, annotated - select for diffs
Wed Oct 19 13:21:51 2011 UTC (12 years, 6 months ago) by www
Branches: MAIN
CVS tags: version_2_10_X, version_2_10_1, HEAD
Formatting coordinates involving exponents for GeoGebra

    1: # LearningOnline Network with CAPA
    2: # option list style responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.68 2011/10/19 13:21:51 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:                                                             'functionplotrule','functionplotruleset',
   39:                                                             'functionplotelements'));
   40: }
   41: 
   42: #
   43: # There can be a number of applets on a page, each called ggbApplet_$id, 
   44: # where $id is the "_"-concatenated part and responseid
   45: #
   46: 
   47: sub geogebra_startcode {
   48:     my ($id)=@_;
   49:     return (<<ENDSTARTCODE);
   50: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   51:          codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
   52:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   53: ENDSTARTCODE
   54: }
   55: 
   56: sub geogebra_endcode {
   57:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   58: }
   59: 
   60: #
   61: # This is the internal GeoGebra bytecode which defines the spline functions
   62: #
   63: sub geogebra_spline_program {
   64:     return (<<ENDSPLINEPROGRAM);
   65: <param name="ggbBase64" value="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"/>
   66: ENDSPLINEPROGRAM
   67: }
   68: 
   69: #
   70: # The standard set of parameters inside <applet>
   71: #
   72: sub geogebra_default_parameters {
   73:    my ($id)=@_;
   74:    return(<<ENDDEFAULTPARAMETERS);
   75:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   76:         <param name="boxborder" value="false"  />
   77:         <param name="centerimage" value="true"  />
   78: 	<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" />
   79: 	<param name="cache_version" value="3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0" />
   80:         <param name="framePossible" value="false" />
   81: 
   82:         <param name="showResetIcon" value="false" />
   83:         <param name="showAnimationButton" value="false" />
   84:         <param name="enableRightClick" value="false" />
   85:         <param name="errorDialogsActive" value="true" />
   86:         <param name="enableLabelDrags" value="false" />
   87:         <param name="showMenuBar" value="false" />
   88:         <param name="showToolBar" value="false" />
   89:         <param name="showToolBarHelp" value="false" />
   90:         <param name="showAlgebraInput" value="false" />
   91:         <param name="enableShiftDragZoom" value="false" />
   92:         <param name="allowRescaling" value="false" />
   93:         <param name="enableLabelDrags" value="false" />
   94:         <param name="ggbOnInitParam" value="applet_$id" />
   95: ENDDEFAULTPARAMETERS
   96: }
   97: 
   98: #
   99: # This subroutine is called by LON-CAPA at </problem>
  100: # Each applet on the page will call function ggbOnInit when it is done loading
  101: # This function in turn will call the respective function registered by start_init_script
  102: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  103: #
  104: 
  105: sub init_script {
  106:    if ($#Apache::functionplotresponse::callscripts>=0) {
  107:       my $script='';
  108:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  109:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  110:       }
  111:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  112:                ") { setTimeout('ggbInitAll()',200) }";
  113:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  114:       return (<<ENDGGBINIT);
  115: <script type="text/javascript">
  116: // <![CDATA[
  117: // Function that each applet will call when loaded
  118: // It will pass "its" parameter
  119: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  120: function ggbOnInit(param) {
  121: $script
  122: }
  123: function ggbInitAll() {
  124: $calls
  125: }
  126: // ]]>
  127: </script>
  128: ENDGGBINIT
  129:    }
  130: }
  131: 
  132: #
  133: # Each Geogebra applet is supposed to call this when parameters change
  134: # Changes the hidden fields on the web page
  135: #
  136: sub update_script {
  137:     my ($id)=@_;
  138:     return (<<ENDUPDATESCRIPT);
  139: <script type="text/javascript">
  140: // <![CDATA[
  141: function updatePointCoordinates_$id(coordinateName) {
  142:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  143:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  144:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  145:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  146:         }
  147: // ]]>
  148: </script>
  149: ENDUPDATESCRIPT
  150: }
  151: 
  152: #
  153: # Register the above update-handler for a variable
  154: #
  155: 
  156: sub update_register {
  157:    my ($id,$variable)=@_;
  158:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  159: }
  160: 
  161: #
  162: # Set a point coordinate variable
  163: #
  164: sub set_point_coordinate {
  165:    my ($id,$variable,$x,$y,$fixed)=@_;
  166:    my $mult=($fixed?'a*':'');
  167: # Get rid of wild exponents, make sure it's a number
  168:    $x=1.*$x;
  169:    $y=1.*$y;
  170: # GeoGebra does not understand "E"
  171:    $x=~s/[e|E]/\*10\^/;
  172:    $x=~s/\+//;
  173:    $y=~s/[e|E]/\*10\^/;
  174:    $y=~s/\+//;
  175:    return (<<ENDSETVARIABLE);
  176: document.ggbApplet_$id.evalCommand("a=1");
  177: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
  178: document.ggbApplet_$id.setLabelVisible("$variable",false);
  179: ENDSETVARIABLE
  180: }
  181: 
  182: #
  183: # Set a slope coordinate variable
  184: #
  185: sub set_slope_coordinate {
  186:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
  187:    my $xvariable=$variable.'x';
  188:    my $yvariable=$variable.'y';
  189:    my $domain=$xmax-$xmin;
  190:    my $range=$ymax-$ymin;
  191:    my $xinterval=$domain/100.;
  192:    my $yinterval=$range/200.;
  193:    my $mult=($fixed?'a*':'');
  194:    return (<<ENDSETSVARIABLE);
  195: document.ggbApplet_$id.evalCommand("a=1");
  196: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
  197: document.ggbApplet_$id.setVisible("$xvariable", false);
  198: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
  199: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
  200: document.ggbApplet_$id.setVisible("$yvariable", false);
  201: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
  202: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
  203: document.ggbApplet_$id.setLabelVisible("$variable", false);
  204: ENDSETSVARIABLE
  205: }
  206: 
  207: #
  208: # Input field name for a coordinate variable
  209: #
  210: 
  211: sub field_name {
  212:     my ($id,$variable,$name)=@_;
  213:     return "HWVAL_$id\_$variable\_$name";
  214: }
  215: 
  216: #
  217: # Generate an input field for a coordinate variable
  218: #
  219: 
  220: sub generate_input_field {
  221:     my ($id,$variable,$x,$y)=@_;
  222:     $Apache::functionplotresponse::inputfields.=
  223:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  224:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  225: }
  226: 
  227: #
  228: # Initialize a new point coordinate variable at set a listener on it
  229: #
  230: sub new_point_coordinate {
  231:     my ($id,$variable,$x,$y,$fixed)=@_;
  232:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  233:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  234:     }
  235:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  236:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  237:     }
  238:     &generate_input_field($id,$variable,$x,$y);
  239:     return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
  240: }
  241: 
  242: #
  243: # Initialize a new slope coordinate variable at set a listener on it
  244: #
  245: sub new_slope_coordinate {
  246:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  247: #
  248: # $variable: name of the slope point
  249: # $x, $y: coordinates of the slope point
  250: # $pointname: name of the associated point point
  251: # $xp $yp: coordinates of the point point
  252: #
  253:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  254:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  255:     }
  256:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  257:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  258:     }
  259:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
  260:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
  261:     }
  262:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
  263:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
  264:     }
  265: 
  266:     &generate_input_field($id,$variable,$x,$y);
  267:     my $xrel=$x-$xp;
  268:     my $yrel=$y-$yp;
  269:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
  270: }
  271: 
  272: #
  273: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  274: # It then starts the right headers
  275: #
  276: sub start_init_script {
  277:     my ($id)=@_;
  278: # Add id to the list of ggbInit_$id functions that need to be called
  279:     push(@Apache::functionplotresponse::callscripts,$id);
  280: # ... and open this function
  281:     return (<<ENDSTARTINIT);
  282: <script type="text/javascript">
  283: // <![CDATA[
  284: // variable that will eventually be passed back to the server
  285: var coordinateMap_$id = [];
  286: // flag for not loaded yet
  287: var loaded_$id=false;
  288: // Init-function for applet
  289: function ggbInit_$id() {
  290: ENDSTARTINIT
  291: }
  292: 
  293: #
  294: # This sets the axes inside ggbInit_$id
  295: #
  296: 
  297: sub axes_script {
  298:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  299:     return (<<ENDAXESSCRIPT);
  300:             // changes (xmin, xmax, ymin, ymax)
  301:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  302: 
  303:             // makes the (x,y) axis (in)visible
  304:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  305:             // makes the grid (in)visible
  306:             document.ggbApplet_$id.setGridVisible($gvisible);
  307: ENDAXESSCRIPT
  308: }
  309: 
  310: sub axes_label {
  311:     my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
  312:     unless ($xlabel || $ylabel) { return ''; }
  313:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  314:     if ($xlabel) {
  315:       if (($ymin<0) && ($ymax>0)) {
  316:        $return.=(<<ENDXAXISLABELSCRIPT);
  317: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  318: document.ggbApplet_$id.setVisible("Xlabel",false);
  319: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  320: ENDXAXISLABELSCRIPT
  321:       } else {
  322:        $return.=(<<ENDXOFFAXISLABEL);
  323: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
  324: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
  325: ENDXOFFAXISLABEL
  326:       }
  327:     }
  328:     if ($ylabel) {
  329:       if (($xmin<0) && ($xmax>0)) {
  330:        $return.=(<<ENDYAXISLABELSCRIPT);
  331: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  332: document.ggbApplet_$id.setVisible("Ylabel",false);
  333: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  334: ENDYAXISLABELSCRIPT
  335:       } else {
  336:        $return.=(<<ENDYOFFAXISLABEL);
  337: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
  338: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
  339: ENDYOFFAXISLABEL
  340:       }
  341:     }
  342:     return $return;
  343: }
  344: 
  345: #
  346: # Subroutine to produce background and answer plots
  347: #
  348: 
  349: sub plot_script {
  350:    my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
  351:    $label=~s/\W//g;
  352:    if (($label) && ($label!~/^[A-Za-z]/)) {
  353:       $label='C'.$label;
  354:    }
  355:    my $visible=0;
  356:    if ($label) {
  357:       $visible="1";
  358:    } else {
  359:       $Apache::functionplotresponse::counter++;
  360:       $label='C'.$Apache::functionplotresponse::counter;
  361:    }
  362:    my $rc=0;
  363:    my $gc=0;
  364:    my $bc=0;
  365:    if ($color) {
  366:       my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
  367:       $rc=hex($rh);
  368:       $gc=hex($gh);
  369:       $bc=hex($bh);
  370:    }
  371:    if ($fixed) {
  372:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
  373:              ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
  374:              ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
  375:              ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
  376:    } else {
  377:        return "document.ggbApplet_$id.evalCommand('y=$function');\n";
  378:    }
  379: }
  380: 
  381: #
  382: # Answer spline display
  383: # 
  384: # points: x,y,slope_x,slope_y
  385: 
  386: sub answer_spline_script {
  387:    my ($id,@points)=@_;
  388:    my $order=int(($#points+1)/4);
  389:    if ($order<2) { $order=2; }
  390:    if ($order>8) { $order=8; }
  391:    $Apache::functionplotresponse::counter++;
  392:    my $label='CSpline'.$Apache::functionplotresponse::counter;
  393:    my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
  394:    for (my $i=0;$i<=$#points;$i+=4) {
  395:       $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
  396:    }
  397:    $output=~s/\,$//;
  398:    $output.=']");'."\n";
  399:    for (my $i=2; $i<2*$order; $i+=2) {
  400:        $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
  401:    }
  402:    for (my $i=1; $i<2*$order; $i+=2) {
  403:        $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
  404:    }
  405: 
  406:    return $output;
  407: }
  408: 
  409: #
  410: # Subroutine that generates code for spline $label based on stored information
  411: #
  412: 
  413: sub generate_spline {
  414:    my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  415:    my $result='';
  416:    my $order=$Apache::functionplotresponse::splineorder{$label};
  417:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  418:    my $y=$Apache::functionplotresponse::splineinity{$label};
  419:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  420:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  421:    my @coords=();
  422:    foreach my $i (1..$order) {
  423:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
  424:        my $xp=$x;
  425:        $x+=$sx/(2.*($order-1));
  426:        push(@coords,$label.'P'.$i);
  427:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
  428:        $x+=$sx/(2.*($order-1));
  429:        push(@coords,$label.'S'.$i);
  430:    }
  431:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  432:    return $result;
  433: }
  434: #
  435: # <backgroundplot function="..." fixed="yes/no" />
  436: #
  437: sub start_backgroundplot {
  438:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  439:    my $result='';
  440:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  441:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  442:    my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
  443:    my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
  444:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  445:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
  446:    $color=~s/[^a-fA-F0-9]//gs;
  447:    unless (length($color)==6) { $color=''; }
  448:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  449:  
  450:    unless ($function) { $function="0"; }
  451:    if ($target eq 'web') {
  452:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  453:       unless (defined($xinitial)) { $xinitial=$xmin; }
  454:       unless (defined($xfinal)) { $xfinal=$xmax; }
  455:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
  456:    } elsif ($target eq 'edit') {
  457:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  458:              &Apache::edit::text_arg('Function:','function',
  459:                                      $token,'16').
  460:              &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
  461:                                      $token,'8').
  462:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  463:                                      $token,'8').
  464:              &Apache::edit::text_arg('Label on Plot:','label',
  465:                                      $token,'8').
  466:              &Apache::edit::text_arg('Color (hex code):','color',
  467:                                      $token,'8').
  468:              &Apache::edit::select_arg('Fixed location:','fixed',
  469:                                   ['yes','no'],$token).
  470:              &Apache::edit::end_row();
  471:   } elsif ($target eq 'modified') {
  472:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  473:                                                  $safeeval,'function','label','xinitial','xfinal','color','fixed');
  474:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  475:   }
  476:   return $result;
  477: }
  478: 
  479: sub end_backgroundplot {
  480:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  481:    my $result='';
  482:    if ($target eq 'edit') {
  483:        $result=&Apache::edit::end_table();
  484:    }
  485:    return $result;
  486: }
  487: 
  488: #
  489: # <functionplotrule ... />
  490: #
  491: sub start_functionplotrule {
  492:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  493:    my $result='';
  494:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  495:    $Apache::functionplotresponse::counter++;
  496:    if ($label=~/\W/) {
  497:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  498:    }
  499:    $label=~s/\W//gs;
  500:    unless ($label) {
  501:       $label='R'.$Apache::functionplotresponse::counter;
  502:    } else {
  503:       $label='R'.$label;
  504:    }
  505:    if ($Apache::functionplotresponse::splineorder{$label}) {
  506:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
  507:    }
  508: 
  509: 
  510:    if ($target eq 'grade') {
  511: # Simply remember - in order - for later
  512:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  513:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  514:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  515:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  516:       }
  517:       $beginninglabel=~s/\W//gs;
  518:       $endinglabel=~s/\W//gs;
  519:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  520:       $relationship=~s/\W//gs;
  521:       $relationship=lc($relationship);
  522:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  523:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  524:           $relationship='eq';
  525:       }
  526:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  527:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
  528:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  529:          $derivative=0;
  530:       }
  531:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  532:            $label,
  533:            $derivative,
  534:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  535:            $beginninglabel,
  536:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  537:            $endinglabel,
  538:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  539:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  540:            $relationship,
  541:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  542:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  543:           )));
  544:    } elsif ($target eq 'edit') {
  545:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
  546:              &Apache::edit::text_arg('Index/Name:','index',
  547:                                      $token,'10').'&nbsp;'.
  548:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  549:                                   [['0','Function itself'],
  550:                                    ['1','First derivative'],
  551:                                    ['2','Second derivative'],
  552:                                    ['-1','Integral']],$token).'<br />'.
  553:              &Apache::edit::text_arg('Initial x-value:','xinitial',
  554:                                       $token,'8').
  555:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
  556:                                                [['start','Start of Plot'],
  557:                                                 ['end','End of Plot']],$token,'8').'<br />'.
  558: 
  559:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  560:                                       $token,'8').
  561:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
  562:                                                [['end','End of Plot']],$token,'8').'<br />'.
  563:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
  564:                                      $token,'8').
  565:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
  566:                                      $token,'8').'<br />'.
  567:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
  568:                                   [['eq','equal'],
  569:                                    ['ne','not equal'],
  570:                                    ['ge','greater than or equal'],
  571:                                    ['gt','greater than'],
  572:                                    ['lt','less than'],
  573:                                    ['le','less than or equal']],$token).
  574:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  575:                                                [['undef','not defined']],$token,'30').
  576:              &Apache::edit::text_arg('Percent error:','percenterror',
  577:                                      $token,'8').
  578:              &Apache::edit::end_row();
  579:   } elsif ($target eq 'modified') {
  580:     if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
  581:        $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
  582:     }
  583:     if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
  584:        $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
  585:     }
  586:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  587:                                                  $safeeval,'index','derivativeorder',
  588:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  589:                                                            'minimumlength','maximumlength',
  590:                                                            'relationship','value','percenterror');
  591:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  592:    }
  593:    return $result;
  594: }
  595: 
  596: sub end_functionplotrule {
  597:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  598:    my $result='';
  599:    if ($target eq 'edit') {
  600:        $result=&Apache::edit::end_table();
  601:    }
  602:    return $result;
  603: }
  604: 
  605: 
  606: #
  607: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  608: #
  609: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  610: #
  611: sub start_spline {
  612:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  613:    my $result='';
  614:    if ($target eq 'web') {
  615:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  616:       $Apache::functionplotresponse::counter++;
  617:       if ($label=~/\W/) {
  618:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  619:       }
  620:       $label=~s/\W//gs;
  621:       unless ($label) { 
  622:          $label='S'.$Apache::functionplotresponse::counter; 
  623:       } else {
  624:          $label='S'.$label;
  625:       }
  626:       if ($Apache::functionplotresponse::splineorder{$label}) {
  627:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  628:       }
  629: 
  630:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
  631:       if ($order<2) { $order=2; }
  632:       if ($order>8) { $order=8; }
  633:       $Apache::functionplotresponse::splineorder{$label}=$order;
  634: 
  635:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
  636:       unless ($x) { $x=0; }
  637:       $Apache::functionplotresponse::splineinitx{$label}=$x;
  638: 
  639:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
  640:       unless ($y) { $y=0; }
  641:       $Apache::functionplotresponse::splineinity{$label}=$y;
  642: 
  643:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
  644:       unless ($sx) { $sx=$order; }
  645:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
  646: 
  647:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
  648:       unless ($sy) { $sy=2; }
  649:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
  650:    } elsif ($target eq 'edit') {
  651:         $result=&Apache::edit::tag_start($target,$token,'Spline').
  652:              &Apache::edit::text_arg('Index:','index',
  653:                                      $token,'4').'&nbsp;'.
  654:              &Apache::edit::select_arg('Order:','order',
  655:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
  656:              &Apache::edit::text_arg('Initial x-value:','initx',
  657:                                      $token,'4').'&nbsp;'.
  658:              &Apache::edit::text_arg('Initial y-value:','inity',
  659:                                      $token,'4').'&nbsp;'.
  660:              &Apache::edit::text_arg('Scale x:','scalex',
  661:                                      $token,'4').'&nbsp;'.
  662:              &Apache::edit::text_arg('Scale y:','scaley',
  663:                                      $token,'4').
  664:              &Apache::edit::end_row();
  665:   } elsif ($target eq 'modified') {
  666:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  667:                                                  $safeeval,'index','order','initx','inity',
  668:                                                            'scalex','scaley');
  669:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  670:   }
  671:   return $result;
  672: }
  673: 
  674: sub end_spline {
  675:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  676:    my $result='';
  677:    if ($target eq 'edit') {
  678:        $result=&Apache::edit::end_table();
  679:    }
  680:    return $result;
  681: }
  682:  
  683: sub end_init_script {
  684:     return (<<ENDENDINIT);
  685: }
  686: // ]]>
  687: </script>
  688: ENDENDINIT
  689: }
  690: 
  691: #
  692: # Storing and restoring spline coordinates from part answers
  693: #
  694: sub decode_previous_answer {
  695:    my ($answer)=@_;
  696:    foreach my $coordinate (split(/\,/,$answer)) {
  697:       my ($key,$value)=split(/\=/,$coordinate);
  698:       $Apache::functionplotresponse::previous{$key}=$value;
  699:    }
  700: }
  701: 
  702: sub get_answer_from_form_fields {
  703:    my ($id)=@_;
  704:    my $answer='';
  705:    my %coords=();
  706:    foreach my $field (keys(%env)) {
  707:       if ($field=~/^form\.HWVAL\_$id/) {
  708:          $field=~/^form\.(.*)$/;
  709:          $coords{$1}=$env{$field};
  710:       }
  711:    }
  712:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
  713:    return ($answer,%coords);
  714: }
  715: 
  716: #
  717: # The following functions calculate the cubic-hermite splines server-side
  718: #
  719: 
  720: sub cubic_hermite {
  721:    my ($t,$p1,$s1,$p2,$s2)=@_;
  722:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
  723:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
  724: }
  725: 
  726: #
  727: # d/dt(...)
  728: # 
  729: 
  730: sub ddt_cubic_hermite {
  731:    my ($t,$p1,$s1,$p2,$s2)=@_;
  732:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
  733:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
  734: }
  735: 
  736: #
  737: # d^2/dt^2(...)
  738: #
  739: 
  740: sub d2dt2_cubic_hermite {
  741:    my ($t,$p1,$s1,$p2,$s2)=@_;
  742:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
  743:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
  744: }
  745: 
  746: #
  747: # Array index calculation
  748: #
  749: sub array_index {
  750:    my ($xmin,$xmax,$x)=@_;
  751:    if ($x ne '') {
  752:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
  753:    } else {
  754:       return undef;
  755:    }
  756: }
  757: 
  758: #
  759: # Populate the arrays
  760: #
  761: 
  762: sub populate_arrays {
  763:     my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
  764:     for (my $i=0; $i<=400; $i++) {
  765:        $Apache::functionplotresponse::actualxval[$i]=undef;
  766:        $Apache::functionplotresponse::func[$i]=undef;
  767:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
  768:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
  769:     }
  770:     unless ($xmax>$xmin) { return 'no_func'; }
  771: # Run over all splines in response
  772:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
  773:         my $xiold=-1;
  774: # Run over all points in spline
  775:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
  776:             my $ni=$i+1;
  777:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
  778:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
  779:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
  780:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
  781:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
  782:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
  783:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
  784:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
  785: # Run in small steps over spline parameter
  786:             for (my $t=0; $t<=1; $t+=0.0001) {
  787:                 my $xreal=&cubic_hermite($t,@xparms);
  788:                 my $xi=&array_index($xmin,$xmax,$xreal);
  789:                 if ($xi<$xiold) { return 'no_func'; }
  790:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
  791:                    $xiold=$xi;
  792:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
  793: # Function value
  794:                    my $funcval=&cubic_hermite($t,@yparms);
  795: 
  796: # Do we already have a value for this point, and is it different from the new one?
  797:                    if ((defined($Apache::functionplotresponse::func[$xi])) &&
  798:                        (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
  799:                        return 'no_func'; 
  800:                    }
  801: # Okay, remember the new point
  802:                    $Apache::functionplotresponse::func[$xi]=$funcval;
  803: 
  804:                    if (defined($funcval)) {
  805:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
  806:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
  807:                       }
  808:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
  809:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
  810:                       }
  811:                    }
  812: # Chain rule
  813: # dy/dx=dy/dt/(dx/dt)
  814:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
  815:                    if ($dxdt) {
  816:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
  817: # Second derivative
  818:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
  819:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
  820:                          ($dxdt*$dxdt*$dxdt);
  821:                    }
  822:                 }
  823:             }
  824:         }
  825:     }
  826: }
  827: 
  828: #
  829: # Implementation of <functionplotresponse>
  830: #
  831: 
  832: sub start_functionplotresponse {
  833:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  834:   my $result='';
  835: # To remember the splines - somehow, they need to come last
  836:   undef %Apache::functionplotresponse::splineorder;
  837:   undef %Apache::functionplotresponse::splineinitx;
  838:   undef %Apache::functionplotresponse::splineinity;
  839:   undef %Apache::functionplotresponse::splinescalex;
  840:   undef %Apache::functionplotresponse::splinescaley;
  841: # Remember input fields, etc
  842:   undef %Apache::functionplotresponse::previous;
  843:   $Apache::functionplotresponse::inputfields='';
  844:   $Apache::functionplotresponse::counter=0;
  845: # Remember rules
  846:   undef @Apache::functionplotresponse::functionplotrules;
  847: # Remember failed rules
  848:   if ($target eq 'grade') {
  849:      undef @Apache::functionplotresponse::failedrules;
  850:   }
  851: # Delete previous awards
  852:   undef $Apache::functionplotresponse::awarddetail;
  853: # Part and ID
  854:   my $partid=$Apache::inputtags::part;
  855:   my $id=&Apache::response::start_response($parstack,$safeeval);
  856: # Internal ID to mark the applet and its coordinates
  857:   my $internalid = $partid.'_'.$id;
  858: # Previous answer
  859:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
  860: 
  861: # Parameters of <functionplotresponse>
  862:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
  863:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  864:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  865:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  866:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
  867:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
  868:   if ($target eq 'edit') {
  869:     $result.=&Apache::edit::start_table($token)
  870:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
  871:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
  872:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
  873:        .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
  874:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
  875:        .'</span></td>'
  876:        ."<td>&nbsp;"
  877:        .&Apache::edit::end_row()
  878:        .&Apache::edit::start_spanning_row()
  879:        ."\n";
  880:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
  881:                                      $token,'6').'&nbsp;'.
  882:              &Apache::edit::text_arg('Minimum x-value:','xmin',
  883:                                      $token,'4').'&nbsp;'.
  884:              &Apache::edit::text_arg('Maximum x-value:','xmax',
  885:                                      $token,'4').'&nbsp;'.
  886:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
  887:                                   ['yes','no'],$token).'<br />'.
  888:              &Apache::edit::text_arg('Label y-axis:','ylabel',
  889:                                      $token,'6').'&nbsp;'.
  890:              &Apache::edit::text_arg('Minimum y-value:','ymin',
  891:                                      $token,'4').'&nbsp;'.
  892:              &Apache::edit::text_arg('Maximum y-value:','ymax',
  893:                                      $token,'4').'&nbsp;'.
  894:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
  895:                                   ['yes','no'],$token).'<br />'.
  896:              &Apache::edit::select_arg('Grid visible:','gridvisible',
  897:                                   ['yes','no'],$token).'<br />'.
  898:              &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
  899:                                          'answerdisplay',$token,'50').
  900:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
  901:   } elsif ($target eq 'modified') {
  902:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  903:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
  904:                                                            'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
  905:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
  906: 
  907:   } elsif ($target eq 'meta') {
  908:        $result=&Apache::response::meta_package_write('functionplotresponse');
  909:   } elsif (($target eq 'answer') &&
  910:             ($env{'form.answer_output_mode'} ne 'tex') &&
  911:             ($Apache::lonhomework::viewgrades == 'F')) {
  912:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
  913:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
  914:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
  915:                                                {'only_body' => 1,
  916:                                                 'bgcolor'   => '#FFFFFF',
  917:                                                 'js_ready'  => 1,});
  918:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
  919:       $uname =~s/\W//g;
  920:       $udom  =~s/\W//g;
  921:       my $function_name =
  922:                 join('_','LONCAPA_scriptvars',$uname,$udom,
  923:                      $env{'form.counter'},$Apache::lonxml::curdepth);
  924:       my $rules_var ="<script type=\"text/javascript\">
  925: // <![CDATA[
  926:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
  927:     $Apache::functionplotresponse::ruleslog.
  928:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
  929: // ]]>
  930: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
  931:             &Apache::lonxml::add_script_result($rules_var);
  932:         }
  933: 
  934:   return $result;
  935: }
  936: 
  937: sub compare_rel {
  938:    my ($relationship,$value,$realval,$tol)=@_;
  939: # is the real value undefined?
  940:    unless (defined($realval)) {
  941: # the real value is not defined
  942:       if ($relationship eq 'eq') {
  943:          if ($value eq 'undef') {
  944:             return 1;
  945:          } else {
  946:             return 0;
  947:          }
  948:       } elsif ($relationship eq 'ne') {
  949:          if ($value eq 'undef') {
  950:             return 0;
  951:          } else {
  952:             return 1;
  953:          }
  954:       } else {
  955:          return 0;
  956:       }
  957:    }
  958: 
  959: # is the expected value undefined?
  960:    if ($value eq 'undef') {
  961: # but by now we know that the real value is defined
  962:       return 0;
  963:    }
  964: 
  965: # both are defined.
  966:    if ($relationship eq 'gt') {
  967:       return ($realval>$value);
  968:    } elsif ($relationship eq 'ge') {
  969:       return ($realval>$value-$tol);
  970:    } elsif ($relationship eq 'lt') {
  971:       return ($realval<$value);
  972:    } elsif ($relationship eq 'le') {
  973:       return ($realval<$value+$tol);
  974:    } elsif ($relationship eq 'ne') {
  975:       return (abs($value-$realval)>$tol);
  976:    } else {
  977:       return (abs($value-$realval)<$tol);
  978:    }
  979:    return 0;
  980: }
  981: 
  982: sub addlog {
  983:    my ($text)=@_;
  984:    $text=~s/\'/\\\'/g;
  985:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
  986: }
  987: 
  988: sub actualval {
  989:    my ($i,$xmin,$xmax)=@_;
  990:    return $xmin+$i/400.*($xmax-$xmin);
  991: }
  992: 
  993: sub fpr_val {
  994:    my ($arg)=@_;
  995:    return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
  996:                      $Apache::functionplotresponse::fpr_xmin,
  997:                      $Apache::functionplotresponse::fpr_xmax);
  998: }
  999: 
 1000: sub fpr_f {
 1001:    my ($arg)=@_;
 1002:    return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
 1003:                                                            $Apache::functionplotresponse::fpr_xmax,
 1004:                                                            $arg)];
 1005: }
 1006: 
 1007: sub fpr_dfdx {
 1008:    my ($arg)=@_;
 1009:    return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
 1010:                                                               $Apache::functionplotresponse::fpr_xmax,
 1011:                                                               $arg)];
 1012: }
 1013: 
 1014: sub fpr_d2fdx2 {
 1015:    my ($arg)=@_;
 1016:    return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
 1017:                                                                 $Apache::functionplotresponse::fpr_xmax,
 1018:                                                                 $arg)];
 1019: }
 1020:  
 1021: sub functionplotrulecheck {
 1022:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1023: 
 1024:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
 1025:       =split(/\:/,$rule);
 1026:    $percent=($percent>0?$percent:5);
 1027:    &addlog("=================");
 1028:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
 1029: #
 1030: # Evaluate the value
 1031: #
 1032:    if ($value=~/\D/) {
 1033:       $Apache::functionplotresponse::fpr_xmin=$xmin;
 1034:       $Apache::functionplotresponse::fpr_xmax=$xmax;
 1035:       $value=&Apache::run::run($value,$safeeval);
 1036:       &addlog("Value evaluated to $value");
 1037:    }
 1038: 
 1039: #
 1040: # Minimum and maximum lengths of the interval
 1041: #
 1042:    if ((defined($minimumlength)) || (defined($maximumlength))) {
 1043:       &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
 1044:    }
 1045:    my $li=0;
 1046:    my $lh=400;
 1047: 
 1048: # Special case: the upper boundary was not defined
 1049: # and needs to be set to the value where
 1050: # the condition is not true anymore => set flag
 1051: 
 1052:    my $findupper=0;
 1053:    if (($xfinal eq '')
 1054:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
 1055:     && ($xfinallabel)) {
 1056:        $findupper=1;
 1057:    }
 1058: 
 1059: # if a hard value is set for the boundaries, it overrides the label
 1060:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
 1061:       $li=&array_index($xmin,$xmax,$xinitial);
 1062:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
 1063:    }
 1064:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
 1065:       $lh=&array_index($xmin,$xmax,$xfinal);
 1066:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
 1067:    }
 1068: # if the label is defined, use it
 1069:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
 1070:       &addlog("Using lower label $xinitiallabel");
 1071:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
 1072:    } else {
 1073:       $li=&array_index($xmin,$xmax,$xinitial);
 1074:    }
 1075:    unless ($findupper) {
 1076:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
 1077:          &addlog("Using upper label $xfinallabel");
 1078:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
 1079:       } else {
 1080:          $lh=&array_index($xmin,$xmax,$xfinal);
 1081:       }
 1082:    }
 1083: # Basic sanity checks
 1084:    if ($li<0) { $li=0; }
 1085:    if ($lh>400) { $lh=400; }
 1086:    if (($li>$lh) || (!defined($lh))) {
 1087:        $lh=$li;
 1088:    }
 1089: 
 1090:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
 1091:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
 1092:    if ($findupper) {
 1093:       &addlog("Looking for label $xfinallabel");
 1094:    }
 1095:    my $tol=$percent*($ymax-$ymin)/100;
 1096:    if ($xmax>$xmin) {
 1097:       if ($derivative==2) {
 1098:          $tol=4.*$tol/($xmax-$xmin);
 1099:       } elsif ($derivative==1) {
 1100:          $tol=2.*$tol/($xmax-$xmin);
 1101:       } elsif ($derivative==-1) {
 1102:          $tol=$tol*($xmax-$xmin)/2.;
 1103:       }
 1104:    }
 1105:    my $integral=0;
 1106:    my $binwidth=($xmax-$xmin)/400.;
 1107:    if (($derivative<0) && (!$findupper)) {
 1108: # definite integral, calculate over whole length
 1109:      &addlog("Calculating definite integral");
 1110:      for (my $i=$li; $i<=$lh; $i++) {
 1111:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1112:      }
 1113:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
 1114:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
 1115:         &addlog("Rule $label failed.");
 1116:         my $hintlabel=$label;
 1117:         $hintlabel=~s/^R//;
 1118:         push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1119:         &addlog("Set hint condition $hintlabel");
 1120:         return 0;
 1121:      } 
 1122:    } else {
 1123:      for (my $i=$li; $i<=$lh; $i++) {
 1124:         my $val;
 1125:         if ($derivative==2) {
 1126:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
 1127:         } elsif ($derivative==1) {
 1128:            $val=$Apache::functionplotresponse::dfuncdx[$i];
 1129:         } elsif ($derivative==-1) {
 1130:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1131:            $val=$integral;      
 1132:         } else {
 1133:            $val=$Apache::functionplotresponse::func[$i];
 1134:         }
 1135:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
 1136:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
 1137:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
 1138:            if (($findupper) && ($i>$li)) {
 1139: # Check lengths
 1140:               unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1141: # Successfully found a new label, set it
 1142:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
 1143:               &addlog("Rule $label passed, setting label $xfinallabel");
 1144:               return 1;
 1145:            } else {
 1146:               &addlog("Rule $label failed.");
 1147:               &setfailed($label);
 1148:               return 0; 
 1149:            }
 1150:         }
 1151:      }
 1152:    }
 1153: # Corner case where this makes sense: using start or stop as defined labels
 1154:    unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1155:    &addlog("Rule $label passed.");
 1156:    return 1;
 1157: }
 1158: 
 1159: #
 1160: # check for minimum and maximum lengths
 1161: #
 1162: 
 1163: sub checklength {
 1164:     my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
 1165:     unless (($minimumlength) || ($maximumlength)) { return 1; }
 1166:     my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
 1167:     if ($minimumlength) {
 1168:        if ($length<$minimumlength) {
 1169:           &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
 1170:           &setfailed($label);
 1171:           return 0;
 1172:        }
 1173:     }
 1174:     if ($maximumlength) {
 1175:        if ($length>$maximumlength) {
 1176:           &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
 1177:           &setfailed($label);
 1178:           return 0;
 1179:        }
 1180:     }
 1181:     return 1;
 1182: }
 1183: 
 1184: sub setfailed {
 1185:    my ($label)=@_;
 1186:    my $hintlabel=$label;
 1187:    $hintlabel=~s/^R//;
 1188:    push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1189:    &addlog("Set hint condition $hintlabel");
 1190: }
 1191: 
 1192: sub start_functionplotruleset {
 1193:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1194:    if ($target eq 'edit') {
 1195:       return &Apache::edit::start_table($token).
 1196:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
 1197:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1198:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1199:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1200:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
 1201:        .'</span></td>'
 1202:        ."<td>&nbsp;"
 1203:        .&Apache::edit::end_row()
 1204:        .&Apache::edit::start_spanning_row()
 1205:        ."\n";
 1206:    }
 1207: }
 1208: 
 1209: sub end_functionplotruleset {
 1210:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1211:     my $id=$Apache::inputtags::response[-1];
 1212:     my $partid=$Apache::inputtags::part;
 1213:     my $internalid = $partid.'_'.$id;
 1214: 
 1215:     if ($target eq 'edit' ) {
 1216:         return &Apache::edit::end_table();
 1217:     }  elsif ($target eq 'grade'
 1218:          && &Apache::response::submitted()
 1219:          && $Apache::lonhomework::type ne 'exam') {
 1220: #
 1221: # Actually grade
 1222: #
 1223:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1224: 
 1225:         my $ad='';
 1226:         undef  %Apache::functionplotresponse::functionplotrulelabels;
 1227:         $Apache::functionplotresponse::ruleslog='';
 1228:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
 1229:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
 1230:         if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
 1231:            $ad='NOT_FUNCTION';
 1232:         } else {
 1233:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
 1234:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
 1235:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1236:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1237: 
 1238: # We have a function that we can actually grade, go through the spline rules.
 1239:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1240:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1241:                  $ad='INCORRECT';
 1242:                  last;
 1243:               }
 1244:            }
 1245: # If it's not wrong, it's correct 
 1246:            unless ($ad) { $ad='EXACT_ANS' };
 1247:         }
 1248:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1249:         &addlog("Assigned award detail: $ad");
 1250: # Store for later to be assigned at end_functionplotresponse
 1251:         $Apache::functionplotresponse::awarddetail=$ad;
 1252:      }
 1253: }
 1254: 
 1255: 
 1256: sub end_functionplotresponse {
 1257:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1258:   &Apache::response::end_response;
 1259: 
 1260:   my $result;
 1261:   my $id=$Apache::inputtags::response[-1];
 1262:   my $partid=$Apache::inputtags::part;
 1263:   my $internalid = $partid.'_'.$id;
 1264: 
 1265:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 1266:     if ($target eq 'grade'
 1267:          && &Apache::response::submitted()
 1268:          && $Apache::lonhomework::type eq 'exam') {
 1269: 
 1270:         &Apache::response::scored_response($partid,$id);
 1271: 
 1272:     } elsif ($target eq 'grade'
 1273:          && &Apache::response::submitted()
 1274:          && $Apache::lonhomework::type ne 'exam') {
 1275:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 1276:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 1277:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 1278: #
 1279: # Assign grade
 1280: #
 1281:         my $ad=$Apache::functionplotresponse::awarddetail;
 1282: #
 1283: # Store grading info
 1284: #
 1285:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 1286:         &Apache::response::handle_previous(\%previous,$ad);
 1287:    } elsif ($target eq 'web') {
 1288:         undef @Apache::functionplotresponse::failedrules;
 1289:    }
 1290:    return $result;
 1291: }
 1292: 
 1293: sub end_functionplotelements {
 1294:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1295:   my $result='';
 1296:   my $id=$Apache::inputtags::response[-1];
 1297:   my $partid=$Apache::inputtags::part;
 1298:   my $internalid = $partid.'_'.$id;
 1299:   if ($target eq 'edit' ) {
 1300:      $result=&Apache::edit::end_table();
 1301:   } elsif ($target eq 'web') {
 1302:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1303: 
 1304: # Are we in show answer mode?
 1305:      my $showanswer=&Apache::response::show_answer();
 1306:      if ($showanswer) {
 1307: # Render answerdisplay
 1308:         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
 1309:         if ($answerdisplay=~/\S/s) {
 1310:            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
 1311:               my @components=split(/\s*\:\s*/,$plot);
 1312:               if ($#components<3) {
 1313: # Just a simple plot
 1314:                  my ($func,$xl,$xh)=@components;
 1315:                  if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
 1316:                  if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
 1317:                  $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
 1318:               } else {
 1319: # This is a spline
 1320:                  $result.=&answer_spline_script($internalid,@components);
 1321:               }
 1322:            }
 1323:         }
 1324:      }
 1325:      my $fixed=0;
 1326:      if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
 1327: # Now is the time to render all of the stored splines
 1328:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1329:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
 1330:      }
 1331: # close the init script
 1332:      $result.=&end_init_script();
 1333: # register all splines in this response 
 1334:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 1335:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 1336:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1337:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 1338:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 1339:      }
 1340: # generate the input fields
 1341:      $result.=$Apache::functionplotresponse::inputfields;
 1342: # actually start the <applet>-tag
 1343:      $result.=&geogebra_startcode($internalid);
 1344: # load the spline bytecode
 1345:      $result.=&geogebra_spline_program();
 1346: # set default parameters
 1347:      $result.=&geogebra_default_parameters($internalid);
 1348: # close the <applet>-tag
 1349:      $result.=&geogebra_endcode();
 1350:   }
 1351:   return $result;
 1352: }
 1353: 
 1354: sub boundaries {
 1355:    my ($parstack,$safeeval,$level)=@_;
 1356:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
 1357:    $xmin=(defined($xmin)?$xmin:-10);
 1358:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
 1359:    $xmax=(defined($xmax)?$xmax:10);
 1360:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
 1361:    $ymin=(defined($ymin)?$ymin:-10);
 1362:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
 1363:    $ymax=(defined($ymax)?$ymax:10);
 1364:    if ($xmax<=$xmin) {
 1365:       $xmax=$xmin+20;
 1366:    }
 1367:    if ($ymax<=$ymin) {
 1368:       $ymax=$ymin+20;
 1369:    }
 1370:    return ($xmin,$xmax,$ymin,$ymax);
 1371: }
 1372: 
 1373: sub start_functionplotelements {
 1374:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1375:    my $result='';
 1376:    my $id=$Apache::inputtags::response[-1];
 1377:    my $partid=$Apache::inputtags::part;
 1378:    my $internalid = $partid.'_'.$id;
 1379: 
 1380:    if ($target eq 'edit') {
 1381:       return &Apache::edit::start_table($token).
 1382:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 1383:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1384:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1385:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1386:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
 1387:        .'</span></td>'
 1388:        ."<td>&nbsp;"
 1389:        .&Apache::edit::end_row()
 1390:        .&Apache::edit::start_spanning_row()
 1391:        ."\n";
 1392:    } elsif ($target eq 'web') {
 1393:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1394:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1395:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1396:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1397:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 1398:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 1399: 
 1400: 
 1401: # paste in the update routine to receive stuff back from the applet
 1402:      $result.=&update_script($internalid);
 1403: # start the initscript for this applet
 1404:      $result.=&start_init_script($internalid);
 1405: # put the axis commands inside
 1406:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 1407:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
 1408: # init script is left open
 1409:   }
 1410:   return $result;
 1411: }
 1412: 
 1413: 1;
 1414: 
 1415: __END__
 1416:  
 1417: =head1 NAME
 1418: 
 1419: Apache::functionplotresponse.pm;
 1420: 
 1421: =head1 SYNOPSIS
 1422: 
 1423: Handles tags associated with accepting function plots.
 1424: 
 1425: This is part of the LearningOnline Network with CAPA project
 1426: described at http://www.lon-capa.org.
 1427: 
 1428: =head1 HANDLER SUBROUTINE
 1429: 
 1430: start_functionplotresponse()
 1431: 
 1432: =head1 OTHER SUBROUTINES
 1433: 
 1434: =over
 1435: 
 1436: =item end_functionplotresponse()
 1437: 
 1438: =back
 1439: 
 1440: =cut

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