File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.41: download - view: text, annotated - select for diffs
Fri Nov 19 20:03:13 2010 UTC (13 years, 6 months ago) by www
Branches: MAIN
CVS tags: HEAD
Code cleanup

    1: # LearningOnline Network with CAPA
    2: # option list style responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.41 2010/11/19 20:03:13 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:  
   35: BEGIN {
   36:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
   37:                                                             'functionplotrule','functionplotruleset',
   38:                                                             'functionplotelements'));
   39: }
   40: 
   41: #
   42: # There can be a number of applets on a page, each called ggbApplet_$id, 
   43: # where $id is the "_"-concatenated part and responseid
   44: #
   45: 
   46: sub geogebra_startcode {
   47:     my ($id)=@_;
   48:     return (<<ENDSTARTCODE);
   49: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   50:          codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
   51:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   52: ENDSTARTCODE
   53: }
   54: 
   55: sub geogebra_endcode {
   56:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   57: }
   58: 
   59: #
   60: # This is the internal GeoGebra bytecode which defines the spline functions
   61: #
   62: sub geogebra_spline_program {
   63:     return (<<ENDSPLINEPROGRAM);
   64: <param name="ggbBase64" value="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"/>
   65: ENDSPLINEPROGRAM
   66: }
   67: 
   68: #
   69: # The standard set of parameters inside <applet>
   70: #
   71: sub geogebra_default_parameters {
   72:    my ($id)=@_;
   73:    return(<<ENDDEFAULTPARAMETERS);
   74:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   75:         <param name="boxborder" value="false"  />
   76:         <param name="centerimage" value="true"  />
   77: 	<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" />
   78: 	<param name="cache_version" value="3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0" />
   79:         <param name="framePossible" value="false" />
   80: 
   81:         <param name="showResetIcon" value="false" />
   82:         <param name="showAnimationButton" value="false" />
   83:         <param name="enableRightClick" value="false" />
   84:         <param name="errorDialogsActive" value="true" />
   85:         <param name="enableLabelDrags" value="false" />
   86:         <param name="showMenuBar" value="false" />
   87:         <param name="showToolBar" value="false" />
   88:         <param name="showToolBarHelp" value="false" />
   89:         <param name="showAlgebraInput" value="false" />
   90:         <param name="enableShiftDragZoom" value="false" />
   91:         <param name="allowRescaling" value="false" />
   92:         <param name="enableLabelDrags" value="false" />
   93:         <param name="ggbOnInitParam" value="applet_$id" />
   94: ENDDEFAULTPARAMETERS
   95: }
   96: 
   97: #
   98: # This subroutine is called by LON-CAPA at </problem>
   99: # Each applet on the page will call function ggbOnInit when it is done loading
  100: # This function in turn will call the respective function registered by start_init_script
  101: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  102: #
  103: 
  104: sub init_script {
  105:    if ($#Apache::functionplotresponse::callscripts>=0) {
  106:       my $script='';
  107:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  108:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  109:       }
  110:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  111:                ") { setTimeout('ggbInitAll()',20) }";
  112:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  113:       return (<<ENDGGBINIT);
  114: <script type="text/javascript">
  115: // <![CDATA[
  116: // Function that each applet will call when loaded
  117: // It will pass "its" parameter
  118: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  119: function ggbOnInit(param) {
  120: $script
  121: }
  122: function ggbInitAll() {
  123: $calls
  124: }
  125: // ]]>
  126: </script>
  127: ENDGGBINIT
  128:    }
  129: }
  130: 
  131: #
  132: # Each Geogebra applet is supposed to call this when parameters change
  133: # Changes the hidden fields on the web page
  134: #
  135: sub update_script {
  136:     my ($id)=@_;
  137:     return (<<ENDUPDATESCRIPT);
  138: <script type="text/javascript">
  139: // <![CDATA[
  140: function updatePointCoordinates_$id(coordinateName) {
  141:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  142:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  143:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  144:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  145:         }
  146: // ]]>
  147: </script>
  148: ENDUPDATESCRIPT
  149: }
  150: 
  151: #
  152: # Register the above update-handler for a variable
  153: #
  154: 
  155: sub update_register {
  156:    my ($id,$variable)=@_;
  157:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  158: }
  159: 
  160: #
  161: # Set a point coordinate variable
  162: #
  163: sub set_point_coordinate {
  164:    my ($id,$variable,$x,$y)=@_;
  165:    return (<<ENDSETVARIABLE);
  166: document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
  167: document.ggbApplet_$id.setLabelVisible("$variable",false);
  168: ENDSETVARIABLE
  169: }
  170: 
  171: #
  172: # Set a slope coordinate variable
  173: #
  174: sub set_slope_coordinate {
  175:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname)=@_;
  176:    my $xvariable=$variable.'x';
  177:    my $yvariable=$variable.'y';
  178:    my $domain=$xmax-$xmin;
  179:    my $range=$ymax-$ymin;
  180:    my $xinterval=$domain/100.;
  181:    my $yinterval=$range/200.;
  182:    return (<<ENDSETSVARIABLE);
  183: document.ggbApplet_$id.evalCommand("$xvariable=Slider[0,$domain,$xinterval]");
  184: document.ggbApplet_$id.setVisible("$xvariable", false);
  185: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
  186: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
  187: document.ggbApplet_$id.setVisible("$yvariable", false);
  188: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
  189: document.ggbApplet_$id.evalCommand("$variable=($xvariable+x($pointname),$yvariable+y($pointname))");
  190: document.ggbApplet_$id.setLabelVisible("$variable", false);
  191: ENDSETSVARIABLE
  192: }
  193: 
  194: #
  195: # Input field name for a coordinate variable
  196: #
  197: 
  198: sub field_name {
  199:     my ($id,$variable,$name)=@_;
  200:     return "HWVAL_$id\_$variable\_$name";
  201: }
  202: 
  203: #
  204: # Generate an input field for a coordinate variable
  205: #
  206: 
  207: sub generate_input_field {
  208:     my ($id,$variable,$x,$y)=@_;
  209:     $Apache::functionplotresponse::inputfields.=
  210:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  211:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  212: }
  213: 
  214: #
  215: # Initialize a new point coordinate variable at set a listener on it
  216: #
  217: sub new_point_coordinate {
  218:     my ($id,$variable,$x,$y)=@_;
  219:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  220:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  221:     }
  222:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  223:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  224:     }
  225:     &generate_input_field($id,$variable,$x,$y);
  226:     return &set_point_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
  227: }
  228: 
  229: #
  230: # Initialize a new slope coordinate variable at set a listener on it
  231: #
  232: sub new_slope_coordinate {
  233:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax)=@_;
  234: #
  235: # $variable: name of the slope point
  236: # $x, $y: coordinates of the slope point
  237: # $pointname: name of the associated point point
  238: # $xp $yp: coordinates of the point point
  239: #
  240:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  241:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  242:     }
  243:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  244:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  245:     }
  246:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
  247:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
  248:     }
  249:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
  250:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
  251:     }
  252: 
  253:     &generate_input_field($id,$variable,$x,$y);
  254:     my $xrel=$x-$xp;
  255:     my $yrel=$y-$yp;
  256:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname).&update_register($id,$variable);
  257: }
  258: 
  259: #
  260: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  261: # It then starts the right headers
  262: #
  263: sub start_init_script {
  264:     my ($id)=@_;
  265: # Add id to the list of ggbInit_$id functions that need to be called
  266:     push(@Apache::functionplotresponse::callscripts,$id);
  267: # ... and open this function
  268:     return (<<ENDSTARTINIT);
  269: <script type="text/javascript">
  270: // <![CDATA[
  271: // variable that will eventually be passed back to the server
  272: var coordinateMap_$id = [];
  273: // flag for not loaded yet
  274: var loaded_$id=false;
  275: // Init-function for applet
  276: function ggbInit_$id() {
  277: ENDSTARTINIT
  278: }
  279: 
  280: #
  281: # This sets the axes inside ggbInit_$id
  282: #
  283: 
  284: sub axes_script {
  285:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  286:     return (<<ENDAXESSCRIPT);
  287:             // changes (xmin, xmax, ymin, ymax)
  288:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  289: 
  290:             // makes the (x,y) axis (in)visible
  291:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  292:             // makes the grid (in)visible
  293:             document.ggbApplet_$id.setGridVisible($gvisible);
  294: ENDAXESSCRIPT
  295: }
  296: 
  297: sub axes_label {
  298:     my ($id,$xlabel,$ylabel)=@_;
  299:     unless ($xlabel || $ylabel) { return ''; }
  300:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  301:     if ($xlabel) {
  302:        $return.=(<<ENDXAXISLABELSCRIPT);
  303: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  304: document.ggbApplet_$id.setVisible("Xlabel",false);
  305: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  306: ENDXAXISLABELSCRIPT
  307:     }
  308:     if ($ylabel) {
  309:        $return.=(<<ENDYAXISLABELSCRIPT);
  310: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  311: document.ggbApplet_$id.setVisible("Ylabel",false);
  312: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  313: ENDYAXISLABELSCRIPT
  314:     }
  315:     return $return;
  316: }
  317: 
  318: sub plot_script {
  319:    my ($id,$function,$fixed,$label,$xmin,$xmax)=@_;
  320:    $label=~s/\W//g;
  321:    if (($label) && ($label!~/^[A-Za-z]/)) {
  322:       $label='C'.$label;
  323:    }
  324:    my $visible=0;
  325:    if ($label) {
  326:       $visible="1";
  327:    } else {
  328:       $Apache::functionplotresponse::counter++;
  329:       $label='C'.$Apache::functionplotresponse::counter;
  330:    }
  331:    if ($fixed) {
  332:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]')".
  333:              ($visible?'':"document.ggbApplet.setLabelVisible('$label', false);");
  334:    } else {
  335:        return "document.ggbApplet_$id.evalCommand('y=$function')";
  336:    }
  337: }
  338: 
  339: #
  340: # Subroutine that generates code for spline $label based on stored information
  341: #
  342: 
  343: sub generate_spline {
  344:    my ($id,$label,$xmin,$xmax,$ymin,$ymax)=@_;
  345:    my $result='';
  346:    my $order=$Apache::functionplotresponse::splineorder{$label};
  347:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  348:    my $y=$Apache::functionplotresponse::splineinity{$label};
  349:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  350:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  351:    my @coords=();
  352:    foreach my $i (1..$order) {
  353:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y);
  354:        my $xp=$x;
  355:        $x+=$sx/(2.*($order-1));
  356:        push(@coords,$label.'P'.$i);
  357:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax);
  358:        $x+=$sx/(2.*($order-1));
  359:        push(@coords,$label.'S'.$i);
  360:    }
  361:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  362:    return $result;
  363: }
  364: #
  365: # <backgroundplot function="..." fixed="yes/no" />
  366: #
  367: sub start_backgroundplot {
  368:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  369:    my $result='';
  370:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  371:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  372:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  373:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  374:  
  375:    unless ($function) { $function="0"; }
  376:    if ($target eq 'web') {
  377:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  378:       $result.=&plot_script($internalid,$function,$fixed,$label,$xmin,$xmax);
  379:    } elsif ($target eq 'edit') {
  380:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  381:              &Apache::edit::text_arg('Function:','function',
  382:                                      $token,'16').
  383:              &Apache::edit::text_arg('Label on Plot:','label',
  384:                                      $token,'8').
  385:              &Apache::edit::select_arg('Fixed location:','fixed',
  386:                                   ['yes','no'],$token).
  387:              &Apache::edit::end_row();
  388:   } elsif ($target eq 'modified') {
  389:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  390:                                                  $safeeval,'function','label','fixed');
  391:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  392:   }
  393:   return $result;
  394: }
  395: 
  396: sub end_backgroundplot {
  397:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  398:    my $result='';
  399:    if ($target eq 'edit') {
  400:        $result=&Apache::edit::end_table();
  401:    }
  402:    return $result;
  403: }
  404: 
  405: #
  406: # <functionplotrule ... />
  407: #
  408: sub start_functionplotrule {
  409:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  410:    my $result='';
  411:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  412:    $Apache::functionplotresponse::counter++;
  413:    if ($label=~/\W/) {
  414:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  415:    }
  416:    $label=~s/\W//gs;
  417:    unless ($label) {
  418:       $label='R'.$Apache::functionplotresponse::counter;
  419:    } else {
  420:       $label='R'.$label;
  421:    }
  422:    if ($Apache::functionplotresponse::splineorder{$label}) {
  423:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
  424:    }
  425: 
  426: 
  427:    if ($target eq 'grade') {
  428: # Simply remember - in order - for later
  429:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  430:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  431:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  432:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  433:       }
  434:       $beginninglabel=~s/\W//gs;
  435:       $endinglabel=~s/\W//gs;
  436:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  437:       $relationship=~s/\W//gs;
  438:       $relationship=lc($relationship);
  439:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  440:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  441:           $relationship='eq';
  442:       }
  443:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  444:       unless (($derivative==0) || ($derivative==1) || ($derivative==2)) {
  445:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  446:          $derivative=0;
  447:       }
  448:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  449:            $label,
  450:            $derivative,
  451:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  452:            $beginninglabel,
  453:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  454:            $endinglabel,
  455:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  456:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  457:            $relationship,
  458:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  459:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  460:           )));
  461:    } elsif ($target eq 'edit') {
  462:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
  463:              &Apache::edit::text_arg('Index/Name:','index',
  464:                                      $token,'10').'&nbsp;'.
  465:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  466:                                   [['0','Function itself'],
  467:                                    ['1','First derivative'],
  468:                                    ['2','Second derivative']],$token).'<br />'.
  469:              &Apache::edit::text_arg('(Initial) x-value:','xinitial',
  470:                                       $token,'8').
  471:              &Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel',
  472:                                                [['start','Start of Plot']],$token,'8').'<br />'.
  473: 
  474:              &Apache::edit::text_arg('Optional final x-value for ranges:','xfinal',
  475:                                       $token,'8').
  476:              &Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel',
  477:                                                [['end','End of Plot']],$token,'8').'<br />'.
  478:              &Apache::edit::text_arg('Optional minimum length for range:','minimumlength',
  479:                                      $token,'8').
  480:              &Apache::edit::text_arg('Optional maximum length for range:','maximumlength',
  481:                                      $token,'8').'<br />'.
  482:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
  483:                                   [['eq','equal'],
  484:                                    ['ne','not equal'],
  485:                                    ['ge','greater than or equal'],
  486:                                    ['gt','greater than'],
  487:                                    ['lt','less than'],
  488:                                    ['le','less than or equal']],$token).
  489:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  490:                                                [['undef','not defined']],$token,'8').
  491:              &Apache::edit::text_arg('Percent error:','percenterror',
  492:                                      $token,'8').
  493:              &Apache::edit::end_row();
  494:   } elsif ($target eq 'modified') {
  495:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  496:                                                  $safeeval,'index','derivativeorder',
  497:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  498:                                                            'minimumlength','maximumlength',
  499:                                                            'relationship','value','percenterror');
  500:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  501:    }
  502:    return $result;
  503: }
  504: 
  505: sub end_functionplotrule {
  506:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  507:    my $result='';
  508:    if ($target eq 'edit') {
  509:        $result=&Apache::edit::end_table();
  510:    }
  511:    return $result;
  512: }
  513: 
  514: 
  515: #
  516: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  517: #
  518: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  519: #
  520: sub start_spline {
  521:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  522:    my $result='';
  523:    if ($target eq 'web') {
  524:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  525:       $Apache::functionplotresponse::counter++;
  526:       if ($label=~/\W/) {
  527:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  528:       }
  529:       $label=~s/\W//gs;
  530:       unless ($label) { 
  531:          $label='S'.$Apache::functionplotresponse::counter; 
  532:       } else {
  533:          $label='S'.$label;
  534:       }
  535:       if ($Apache::functionplotresponse::splineorder{$label}) {
  536:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  537:       }
  538: 
  539:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
  540:       if ($order<2) { $order=2; }
  541:       if ($order>8) { $order=8; }
  542:       $Apache::functionplotresponse::splineorder{$label}=$order;
  543: 
  544:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
  545:       unless ($x) { $x=0; }
  546:       $Apache::functionplotresponse::splineinitx{$label}=$x;
  547: 
  548:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
  549:       unless ($y) { $y=0; }
  550:       $Apache::functionplotresponse::splineinity{$label}=$y;
  551: 
  552:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
  553:       unless ($sx) { $sx=$order; }
  554:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
  555: 
  556:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
  557:       unless ($sy) { $sy=2; }
  558:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
  559:    } elsif ($target eq 'edit') {
  560:         $result=&Apache::edit::tag_start($target,$token,'Spline').
  561:              &Apache::edit::text_arg('Index:','index',
  562:                                      $token,'4').'&nbsp;'.
  563:              &Apache::edit::select_arg('Order:','order',
  564:                                   ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
  565:              &Apache::edit::text_arg('Initial x-value:','initx',
  566:                                      $token,'4').'&nbsp;'.
  567:              &Apache::edit::text_arg('Initial y-value:','inity',
  568:                                      $token,'4').'&nbsp;'.
  569:              &Apache::edit::text_arg('Scale x:','scalex',
  570:                                      $token,'4').'&nbsp;'.
  571:              &Apache::edit::text_arg('Scale y:','scaley',
  572:                                      $token,'4').
  573:              &Apache::edit::end_row();
  574:   } elsif ($target eq 'modified') {
  575:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  576:                                                  $safeeval,'index','order','initx','inity',
  577:                                                            'scalex','scaley');
  578:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  579:   }
  580:   return $result;
  581: }
  582: 
  583: sub end_spline {
  584:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  585:    my $result='';
  586:    if ($target eq 'edit') {
  587:        $result=&Apache::edit::end_table();
  588:    }
  589:    return $result;
  590: }
  591:  
  592: sub end_init_script {
  593:     return (<<ENDENDINIT);
  594: }
  595: // ]]>
  596: </script>
  597: ENDENDINIT
  598: }
  599: 
  600: #
  601: # Storing and restoring spline coordinates from part answers
  602: #
  603: sub decode_previous_answer {
  604:    my ($answer)=@_;
  605:    foreach my $coordinate (split(/\,/,$answer)) {
  606:       my ($key,$value)=split(/\=/,$coordinate);
  607:       $Apache::functionplotresponse::previous{$key}=$value;
  608:    }
  609: }
  610: 
  611: sub get_answer_from_form_fields {
  612:    my ($id)=@_;
  613:    my $answer='';
  614:    my %coords=();
  615:    foreach my $field (keys(%env)) {
  616:       if ($field=~/^form\.HWVAL\_$id/) {
  617:          $field=~/^form\.(.*)$/;
  618:          $coords{$1}=$env{$field};
  619:       }
  620:    }
  621:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
  622:    return ($answer,%coords);
  623: }
  624: 
  625: #
  626: # The following functions calculate the cubic-hermite splines server-side
  627: #
  628: 
  629: sub cubic_hermite {
  630:    my ($t,$p1,$s1,$p2,$s2)=@_;
  631:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
  632:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 5.*($t*$t*$t-$t*$t)      *($s2-$p2);
  633: }
  634: 
  635: #
  636: # d/dt(...)
  637: # 
  638: 
  639: sub ddt_cubic_hermite {
  640:    my ($t,$p1,$s1,$p2,$s2)=@_;
  641:    return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
  642:           (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t)   *($s2-$p2);
  643: }
  644: 
  645: #
  646: # d^2/dt^2(...)
  647: #
  648: 
  649: sub d2dt2_cubic_hermite {
  650:    my ($t,$p1,$s1,$p2,$s2)=@_;
  651:    return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
  652:           (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
  653: }
  654: 
  655: #
  656: # Array index calculation
  657: #
  658: sub array_index {
  659:    my ($xmin,$xmax,$x)=@_;
  660:    if ($x ne '') {
  661:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
  662:    } else {
  663:       return undef;
  664:    }
  665: }
  666: 
  667: #
  668: # Populate the arrays
  669: #
  670: 
  671: sub populate_arrays {
  672:     my ($id,$xmin,$xmax)=@_;
  673:     for (my $i=0; $i<=400; $i++) {
  674:        $Apache::functionplotresponse::actualxval[$i]=undef;
  675:        $Apache::functionplotresponse::func[$i]=undef;
  676:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
  677:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
  678:     }
  679:     unless ($xmax>$xmin) { return 'no_func'; }
  680: # Run over all splines in response
  681:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
  682:         my $xiold=-1;
  683: # Run over all points in spline
  684:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
  685:             my $ni=$i+1;
  686:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
  687:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
  688:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
  689:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
  690:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
  691:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
  692:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
  693:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
  694: # Run in small steps over spline parameter
  695:             for (my $t=0; $t<=1; $t+=0.0001) {
  696:                 my $xreal=&cubic_hermite($t,@xparms);
  697:                 my $xi=&array_index($xmin,$xmax,$xreal);
  698:                 if ($xi<$xiold) { return 'no_func'; }
  699:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
  700:                    if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
  701:                    $xiold=$xi;
  702:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
  703: # Function value
  704:                    my $funcval=&cubic_hermite($t,@yparms);
  705:                    $Apache::functionplotresponse::func[$xi]=$funcval;
  706:                    if (defined($funcval)) {
  707:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
  708:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
  709:                       }
  710:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
  711:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
  712:                       }
  713:                    }
  714: # Chain rule
  715: # dy/dx=dy/dt/(dx/dt)
  716:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
  717:                    if ($dxdt) {
  718:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
  719: # Second derivative
  720:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
  721:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
  722:                          ($dxdt*$dxdt*$dxdt);
  723:                    }
  724:                 }
  725:             }
  726:         }
  727:     }
  728: }
  729: 
  730: #
  731: # Implementation of <functionplotresponse>
  732: #
  733: 
  734: sub start_functionplotresponse {
  735:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  736:   my $result='';
  737: # To remember the splines - somehow, they need to come last
  738:   undef %Apache::functionplotresponse::splineorder;
  739:   undef %Apache::functionplotresponse::splineinitx;
  740:   undef %Apache::functionplotresponse::splineinity;
  741:   undef %Apache::functionplotresponse::splinescalex;
  742:   undef %Apache::functionplotresponse::splinescaley;
  743: # Remember input fields, etc
  744:   undef %Apache::functionplotresponse::previous;
  745:   $Apache::functionplotresponse::inputfields='';
  746:   $Apache::functionplotresponse::counter=0;
  747: # Remember rules
  748:   undef @Apache::functionplotresponse::functionplotrules;
  749: # Remember failed rules
  750:   if ($target eq 'grade') {
  751:      undef @Apache::functionplotresponse::failedrules;
  752:   }
  753: # Delete previous awards
  754:   undef $Apache::functionplotresponse::awarddetail;
  755: # Part and ID
  756:   my $partid=$Apache::inputtags::part;
  757:   my $id=&Apache::response::start_response($parstack,$safeeval);
  758: # Internal ID to mark the applet and its coordinates
  759:   my $internalid = $partid.'_'.$id;
  760: # Previous answer
  761:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
  762: 
  763: # Parameters of <functionplotresponse>
  764:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
  765:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  766:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  767:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  768:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
  769:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
  770:   if ($target eq 'edit') {
  771:     $result.=&Apache::edit::start_table($token)
  772:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
  773:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
  774:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
  775:        .&Apache::edit::insertlist($target,$token)
  776:        .'</span></td>'
  777:        ."<td>&nbsp;"
  778:        .&Apache::edit::end_row()
  779:        .&Apache::edit::start_spanning_row()
  780:        ."\n";
  781:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
  782:                                      $token,'6').'&nbsp;'.
  783:              &Apache::edit::text_arg('Minimum x-value:','xmin',
  784:                                      $token,'4').'&nbsp;'.
  785:              &Apache::edit::text_arg('Maximum x-value:','xmax',
  786:                                      $token,'4').'&nbsp;'.
  787:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
  788:                                   ['yes','no'],$token).'<br />'.
  789:              &Apache::edit::text_arg('Label y-axis:','ylabel',
  790:                                      $token,'6').'&nbsp;'.
  791:              &Apache::edit::text_arg('Minimum y-value:','ymin',
  792:                                      $token,'4').'&nbsp;'.
  793:              &Apache::edit::text_arg('Maximum y-value:','ymax',
  794:                                      $token,'4').'&nbsp;'.
  795:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
  796:                                   ['yes','no'],$token).'<br />'.
  797:              &Apache::edit::select_arg('Grid visible:','gridvisible',
  798:                                   ['yes','no'],$token).
  799:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
  800:   } elsif ($target eq 'modified') {
  801:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  802:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
  803:                                                            'xaxisvisible','yaxisvisible','gridvisible');
  804:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
  805: 
  806:   } elsif ($target eq 'meta') {
  807:        $result=&Apache::response::meta_package_write('functionplotresponse');
  808:   } elsif (($target eq 'answer') &&
  809:             ($env{'form.answer_output_mode'} ne 'tex') &&
  810:             ($Apache::lonhomework::viewgrades == 'F')) {
  811:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
  812:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
  813:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
  814:                                                {'only_body' => 1,
  815:                                                 'bgcolor'   => '#FFFFFF',
  816:                                                 'js_ready'  => 1,});
  817:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
  818:       $uname =~s/\W//g;
  819:       $udom  =~s/\W//g;
  820:       my $function_name =
  821:                 join('_','LONCAPA_scriptvars',$uname,$udom,
  822:                      $env{'form.counter'},$Apache::lonxml::curdepth);
  823:       my $rules_var ="<script type=\"text/javascript\">
  824: // <![CDATA[
  825:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
  826:     $Apache::functionplotresponse::ruleslog.
  827:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
  828: // ]]>
  829: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
  830:             &Apache::lonxml::add_script_result($rules_var);
  831:         }
  832: 
  833:   return $result;
  834: }
  835: 
  836: sub compare_rel {
  837:    my ($relationship,$value,$realval,$tol)=@_;
  838: # is the real value undefined?
  839:    unless (defined($realval)) {
  840: # the real value is not defined
  841:       if ($relationship eq 'eq') {
  842:          if ($value eq 'undef') {
  843:             return 1;
  844:          } else {
  845:             return 0;
  846:          }
  847:       } elsif ($relationship eq 'ne') {
  848:          if ($value eq 'undef') {
  849:             return 0;
  850:          } else {
  851:             return 1;
  852:          }
  853:       } else {
  854:          return 0;
  855:       }
  856:    }
  857: 
  858: # is the expected value undefined?
  859:    if ($value eq 'undef') {
  860: # but by now we know that the real value is defined
  861:       return 0;
  862:    }
  863: 
  864: # both are defined.
  865:    if ($relationship eq 'gt') {
  866:       return ($realval>$value);
  867:    } elsif ($relationship eq 'ge') {
  868:       return ($realval>$value-$tol);
  869:    } elsif ($relationship eq 'lt') {
  870:       return ($realval<$value);
  871:    } elsif ($relationship eq 'le') {
  872:       return ($realval<$value+$tol);
  873:    } elsif ($relationship eq 'ne') {
  874:       return (abs($value-$realval)>$tol);
  875:    } else {
  876:       return (abs($value-$realval)<$tol);
  877:    }
  878:    return 0;
  879: }
  880: 
  881: sub addlog {
  882:    my ($text)=@_;
  883:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
  884: }
  885: 
  886: sub actualval {
  887:    my ($i,$xmin,$xmax)=@_;
  888:    return $xmin+$i/400.*($xmax-$xmin);
  889: }
  890:  
  891: sub functionplotrulecheck {
  892:    my ($rule,$xmin,$xmax,$ymin,$ymax)=@_;
  893: 
  894:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
  895:       =split(/\:/,$rule);
  896:    $percent=($percent>0?$percent:5);
  897:    &addlog("=================");
  898:    &addlog("Rule $label for ".('function itself','first derivative','second derivative')[$derivative]." $relationship $value");
  899:    my $li=0;
  900:    my $lh=400;
  901: 
  902: # Special case: the upper boundary was not defined
  903: # and needs to be set to the value where
  904: # the condition is not true anymore => set flag
  905: 
  906:    my $findupper=0;
  907:    if (($xfinal eq '')
  908:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
  909:     && ($xfinallabel)) {
  910:        $findupper=1;
  911:    }
  912: 
  913: # if a hard value is set for the boundaries, it overrides the label
  914:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
  915:       $li=&array_index($xmin,$xmax,$xinitial);
  916:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
  917:    }
  918:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
  919:       $lh=&array_index($xmin,$xmax,$xfinal);
  920:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
  921:    }
  922: # if the label is defined, use it
  923:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
  924:       &addlog("Using lower label $xinitiallabel");
  925:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
  926:    } else {
  927:       $li=&array_index($xmin,$xmax,$xinitial);
  928:    }
  929:    unless ($findupper) {
  930:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
  931:          &addlog("Using upper label $xfinallabel");
  932:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
  933:       } else {
  934:          $lh=&array_index($xmin,$xmax,$xfinal);
  935:       }
  936:    }
  937: # Basic sanity checks
  938:    if ($li<0) { $li=0; }
  939:    if ($lh>400) { $lh=400; }
  940:    if (($li>$lh) || (!defined($lh))) {
  941:        $lh=$li;
  942:    }
  943: 
  944:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
  945:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
  946:    if ($findupper) {
  947:       &addlog("Looking for label $xfinallabel");
  948:    }
  949:    my $tol=$percent*($ymax-$ymin)/100;
  950:    if ($xmax>$xmin) {
  951:       if ($derivative==2) {
  952:          $tol=4.*$tol/($xmax-$xmin);
  953:       } elsif ($derivative==1) {
  954:          $tol=2.*$tol/($xmax-$xmin);
  955:       }
  956:    }
  957:    for (my $i=$li; $i<=$lh; $i++) {
  958:         my $val;
  959:         if ($derivative==2) {
  960:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
  961:         } elsif ($derivative==1) {
  962:            $val=$Apache::functionplotresponse::dfuncdx[$i];
  963:         } else {
  964:            $val=$Apache::functionplotresponse::func[$i];
  965:         }
  966:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
  967:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
  968:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
  969:            if (($findupper) && ($i>$li)) {
  970: # check for minimum and maximum lengths
  971:               my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
  972:               if ($minimumlength) {
  973:                  if ($length<$minimumlength) {
  974:                     &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
  975:                     return 0;
  976:                  }
  977:               }
  978:               if ($maximumlength) {
  979:                  if ($length>$maximumlength) {
  980:                     &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
  981:                     return 0;
  982:                  }
  983:               }
  984:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
  985:               &addlog("Rule $label passed, setting label $xfinallabel");
  986:               return 1;
  987:            } else {
  988:               &addlog("Rule $label failed.");
  989:               my $hintlabel=$label;
  990:               $hintlabel=~s/^R//;
  991:               push(@Apache::functionplotresponse::failedrules,$hintlabel);
  992:               &addlog("Set hint condition $hintlabel");
  993:               return 0; 
  994:            }
  995:         }
  996:    }
  997:    &addlog("Rule $label passed.");
  998:    return 1;
  999: }
 1000: 
 1001: sub start_functionplotruleset {
 1002:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1003:    if ($target eq 'edit') {
 1004:       return &Apache::edit::start_table($token).
 1005:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
 1006:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1007:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1008:         &Apache::edit::insertlist($target,$token)
 1009:        .'</span></td>'
 1010:        ."<td>&nbsp;"
 1011:        .&Apache::edit::end_row()
 1012:        .&Apache::edit::start_spanning_row()
 1013:        ."\n";
 1014:    }
 1015: }
 1016: 
 1017: sub end_functionplotruleset {
 1018:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1019:     my $id=$Apache::inputtags::response[-1];
 1020:     my $partid=$Apache::inputtags::part;
 1021:     my $internalid = $partid.'_'.$id;
 1022: 
 1023:     if ($target eq 'edit' ) {
 1024:         return &Apache::edit::end_table();
 1025:     }  elsif ($target eq 'grade'
 1026:          && &Apache::response::submitted()
 1027:          && $Apache::lonhomework::type ne 'exam') {
 1028: #
 1029: # Actually grade
 1030: #
 1031:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1032: 
 1033:         my $ad='';
 1034:         undef  %Apache::functionplotresponse::functionplotrulelabels;
 1035:         $Apache::functionplotresponse::ruleslog='';
 1036:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
 1037:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
 1038:         if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
 1039:            $ad='NOT_FUNCTION';
 1040:         } else {
 1041:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
 1042:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
 1043:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1044:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1045: 
 1046: # We have a function that we can actually grade, go through the spline rules.
 1047:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1048:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) {
 1049:                  $ad='INCORRECT';
 1050:                  last;
 1051:               }
 1052:            }
 1053: # If it's not wrong, it's correct 
 1054:            unless ($ad) { $ad='EXACT_ANS' };
 1055:         }
 1056:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1057:         &addlog("Assigned award detail: $ad");
 1058: # Store for later to be assigned at end_functionplotresponse
 1059:         $Apache::functionplotresponse::awarddetail=$ad;
 1060:      }
 1061: }
 1062: 
 1063: 
 1064: sub end_functionplotresponse {
 1065:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1066:   &Apache::response::end_response;
 1067: 
 1068:   my $result;
 1069:   my $id=$Apache::inputtags::response[-1];
 1070:   my $partid=$Apache::inputtags::part;
 1071:   my $internalid = $partid.'_'.$id;
 1072: 
 1073:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 1074:     if ($target eq 'grade'
 1075:          && &Apache::response::submitted()
 1076:          && $Apache::lonhomework::type eq 'exam') {
 1077: 
 1078:         &Apache::response::scored_response($partid,$id);
 1079: 
 1080:     } elsif ($target eq 'grade'
 1081:          && &Apache::response::submitted()
 1082:          && $Apache::lonhomework::type ne 'exam') {
 1083:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 1084:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 1085:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 1086: #
 1087: # Assign grade
 1088: #
 1089:         my $ad=$Apache::functionplotresponse::awarddetail;
 1090: #
 1091: # Store grading info
 1092: #
 1093:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 1094:         &Apache::response::handle_previous(\%previous,$ad);
 1095:    } elsif ($target eq 'web') {
 1096:         undef @Apache::functionplotresponse::failedrules;
 1097:    }
 1098:    return $result;
 1099: }
 1100: 
 1101: sub end_functionplotelements {
 1102:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1103:   my $result='';
 1104:   my $id=$Apache::inputtags::response[-1];
 1105:   my $partid=$Apache::inputtags::part;
 1106:   my $internalid = $partid.'_'.$id;
 1107:   if ($target eq 'edit' ) {
 1108:      $result=&Apache::edit::end_table();
 1109:   } elsif ($target eq 'web') {
 1110: # Now is the time to render all of the stored splines
 1111:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1112:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1113:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax);
 1114:      }
 1115: # close the init script
 1116:      $result.=&end_init_script();
 1117: # register all splines in this response 
 1118:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 1119:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 1120:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1121:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 1122:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 1123:      }
 1124: # generate the input fields
 1125:      $result.=$Apache::functionplotresponse::inputfields;
 1126: # actually start the <applet>-tag
 1127:      $result.=&geogebra_startcode($internalid);
 1128: # load the spline bytecode
 1129:      $result.=&geogebra_spline_program();
 1130: # set default parameters
 1131:      $result.=&geogebra_default_parameters($internalid);
 1132: # close the <applet>-tag
 1133:      $result.=&geogebra_endcode();
 1134:   }
 1135:   return $result;
 1136: }
 1137: 
 1138: sub boundaries {
 1139:    my ($parstack,$safeeval,$level)=@_;
 1140:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
 1141:    $xmin=(defined($xmin)?$xmin:-10);
 1142:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
 1143:    $xmax=(defined($xmax)?$xmax:10);
 1144:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
 1145:    $ymin=(defined($ymin)?$ymin:-10);
 1146:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
 1147:    $ymax=(defined($ymax)?$ymax:10);
 1148:    if ($xmax<=$xmin) {
 1149:       $xmax=$xmin+20;
 1150:    }
 1151:    if ($ymax<=$ymin) {
 1152:       $ymax=$ymin+20;
 1153:    }
 1154:    return ($xmin,$xmax,$ymin,$ymax);
 1155: }
 1156: 
 1157: sub start_functionplotelements {
 1158:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1159:    my $result='';
 1160:    my $id=$Apache::inputtags::response[-1];
 1161:    my $partid=$Apache::inputtags::part;
 1162:    my $internalid = $partid.'_'.$id;
 1163: 
 1164:    if ($target eq 'edit') {
 1165:       return &Apache::edit::start_table($token).
 1166:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 1167:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1168:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1169:         &Apache::edit::insertlist($target,$token)
 1170:        .'</span></td>'
 1171:        ."<td>&nbsp;"
 1172:        .&Apache::edit::end_row()
 1173:        .&Apache::edit::start_spanning_row()
 1174:        ."\n";
 1175:    } elsif ($target eq 'web') {
 1176:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1177:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1178:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1179:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1180:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 1181:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 1182: 
 1183: 
 1184: # paste in the update routine to receive stuff back from the applet
 1185:      $result.=&update_script($internalid);
 1186: # start the initscript for this applet
 1187:      $result.=&start_init_script($internalid);
 1188: # put the axis commands inside
 1189:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 1190:      $result.=&axes_label($internalid,$xlabel,$ylabel);
 1191: # init script is left open
 1192:   }
 1193:   return $result;
 1194: }
 1195: 
 1196: 1;
 1197: 
 1198: __END__
 1199:  
 1200: =head1 NAME
 1201: 
 1202: Apache::functionplotresponse.pm;
 1203: 
 1204: =head1 SYNOPSIS
 1205: 
 1206: Handles tags associated with accepting function plots.
 1207: 
 1208: This is part of the LearningOnline Network with CAPA project
 1209: described at http://www.lon-capa.org.
 1210: 
 1211: =head1 HANDLER SUBROUTINE
 1212: 
 1213: start_functionplotresponse()
 1214: 
 1215: =head1 OTHER SUBROUTINES
 1216: 
 1217: =over
 1218: 
 1219: =item end_functionplotresponse()
 1220: 
 1221: =back
 1222: 
 1223: =cut

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