Annotation of loncom/homework/functionplotresponse.pm, revision 1.25

1.1       www         1: # LearningOnline Network with CAPA
                      2: # option list style responses
                      3: #
1.25    ! www         4: # $Id: functionplotresponse.pm,v 1.24 2010/11/06 16:12:39 www Exp $
1.1       www         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 {
1.25    ! www        36:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','functionplotrule'));
1.1       www        37: }
                     38: 
1.5       www        39: #
                     40: # There can be a number of applets on a page, each called ggbApplet_$id, 
                     41: # where $id is the "_"-concatenated part and responseid
                     42: #
                     43: 
1.1       www        44: sub geogebra_startcode {
1.3       www        45:     my ($id)=@_;
1.1       www        46:     return (<<ENDSTARTCODE);
1.3       www        47: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
1.1       www        48:          codebase="/adm/geogebra/"  width="714" height="447" MAYSCRIPT>
                     49:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
                     50: ENDSTARTCODE
                     51: }
                     52: 
                     53: sub geogebra_endcode {
1.2       www        54:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
                     55: }
                     56: 
1.5       www        57: #
                     58: # This is the internal GeoGebra bytecode which defines the spline functions
                     59: #
1.2       www        60: sub geogebra_spline_program {
                     61:     return (<<ENDSPLINEPROGRAM);
                     62: <param name="ggbBase64" value="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"/>
                     63: ENDSPLINEPROGRAM
                     64: }
                     65: 
1.5       www        66: #
                     67: # The standard set of parameters inside <applet>
                     68: #
1.2       www        69: sub geogebra_default_parameters {
1.3       www        70:    my ($id)=@_;
1.2       www        71:    return(<<ENDDEFAULTPARAMETERS);
                     72:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
                     73:         <param name="boxborder" value="false"  />
                     74:         <param name="centerimage" value="true"  />
                     75:         <param name="java_arguments" value="-Xmx512m" />
                     76:         <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_properties.jar" />
                     77:         <param name="cache_version" value="3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0" />
                     78:         <param name="framePossible" value="false" />
                     79: 
                     80:         <param name="showResetIcon" value="false" />
                     81:         <param name="showAnimationButton" value="false" />
                     82:         <param name="enableRightClick" value="false" />
                     83:         <param name="errorDialogsActive" value="true" />
                     84:         <param name="enableLabelDrags" value="false" />
                     85:         <param name="showMenuBar" value="false" />
                     86:         <param name="showToolBar" value="false" />
                     87:         <param name="showToolBarHelp" value="false" />
                     88:         <param name="showAlgebraInput" value="false" />
                     89:         <param name="enableShiftDragZoom" value="false" />
                     90:         <param name="allowRescaling" value="false" />
                     91:         <param name="enableLabelDrags" value="false" />
1.3       www        92:         <param name="ggbOnInitParam" value="applet_$id" />
1.2       www        93: ENDDEFAULTPARAMETERS
1.1       www        94: }
                     95: 
1.5       www        96: #
                     97: # This subroutine is called by LON-CAPA at </problem>
                     98: # Each applet on the page will call function ggbOnInit when it is done loading
                     99: # This function in turn will call the respective function registered by start_init_script
                    100: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
                    101: #
                    102: 
1.3       www       103: sub init_script {
1.16      www       104:    if ($#Apache::functionplotresponse::callscripts>=0) {
                    105:       my $script='';
                    106:       foreach my $id (@Apache::functionplotresponse::callscripts) {
                    107:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
                    108:       }
                    109:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
1.17      www       110:                ") { setTimeout('ggbInitAll()',20) }";
1.16      www       111:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
1.3       www       112:       return (<<ENDGGBINIT);
                    113: <script type="text/javascript">
                    114: // <![CDATA[
1.16      www       115: // Function that each applet will call when loaded
                    116: // It will pass "its" parameter
                    117: // Set flags for when an applet is loaded, wait till all are loaded, and then some
1.3       www       118: function ggbOnInit(param) {
1.16      www       119: $script
                    120: }
                    121: function ggbInitAll() {
1.17      www       122: $calls
1.3       www       123: }
                    124: // ]]>
                    125: </script>
                    126: ENDGGBINIT
                    127:    }
                    128: }
                    129: 
1.5       www       130: #
                    131: # Each Geogebra applet is supposed to call this when parameters change
1.10      www       132: # Changes the hidden fields on the web page
1.5       www       133: #
                    134: sub update_script {
                    135:     my ($id)=@_;
                    136:     return (<<ENDUPDATESCRIPT);
                    137: <script type="text/javascript">
                    138: // <![CDATA[
                    139: function updatePointCoordinates_$id(coordinateName) {
                    140:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
                    141:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
1.9       www       142:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
                    143:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
1.5       www       144:         }
                    145: // ]]>
                    146: </script>
                    147: ENDUPDATESCRIPT
                    148: }
                    149: 
                    150: #
                    151: # Register the above update-handler for a variable
                    152: #
                    153: 
                    154: sub update_register {
                    155:    my ($id,$variable)=@_;
1.6       www       156:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
                    157: }
                    158: 
                    159: #
                    160: # Set a coordinate variable
                    161: #
                    162: sub set_coordinate {
                    163:    my ($id,$variable,$x,$y)=@_;
                    164:    return (<<ENDSETVARIABLE);
1.9       www       165: document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
1.6       www       166: ENDSETVARIABLE
                    167: }
                    168: 
                    169: #
1.9       www       170: # Input field name for a coordinate variable
                    171: #
                    172: 
                    173: sub field_name {
                    174:     my ($id,$variable,$name)=@_;
                    175:     return "HWVAL_$id\_$variable\_$name";
                    176: }
                    177: 
                    178: #
                    179: # Generate an input field for a coordinate variable
                    180: #
                    181: 
                    182: sub generate_input_field {
                    183:     my ($id,$variable,$x,$y)=@_;
                    184:     $Apache::functionplotresponse::inputfields.=
                    185:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
                    186:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
                    187: }
                    188: 
                    189: #
1.6       www       190: # Initialize a new coordinate variable at set a listener on it
                    191: #
                    192: sub new_coordinate {
                    193:     my ($id,$variable,$x,$y)=@_;
1.11      www       194:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
1.10      www       195:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
                    196:     }
1.11      www       197:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
1.10      www       198:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
                    199:     }
1.9       www       200:     &generate_input_field($id,$variable,$x,$y);
1.6       www       201:     return &set_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
1.5       www       202: }
                    203: 
                    204: #
                    205: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
                    206: # It then starts the right headers
                    207: #
1.3       www       208: sub start_init_script {
                    209:     my ($id)=@_;
1.16      www       210: # Add id to the list of ggbInit_$id functions that need to be called
                    211:     push(@Apache::functionplotresponse::callscripts,$id);
1.5       www       212: # ... and open this function
1.3       www       213:     return (<<ENDSTARTINIT);
                    214: <script type="text/javascript">
                    215: // <![CDATA[
1.5       www       216: // variable that will eventually be passed back to the server
                    217: var coordinateMap_$id = [];
1.16      www       218: // flag for not loaded yet
                    219: var loaded_$id=false;
1.5       www       220: // Init-function for applet
1.3       www       221: function ggbInit_$id() {
                    222: ENDSTARTINIT
                    223: }
                    224: 
1.5       www       225: #
                    226: # This sets the axes inside ggbInit_$id
                    227: #
                    228: 
1.4       www       229: sub axes_script {
                    230:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
                    231:     return (<<ENDAXESSCRIPT);
                    232:             // changes (xmin, xmax, ymin, ymax)
                    233:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
                    234: 
                    235:             // makes the (x,y) axis (in)visible
                    236:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
                    237:             // makes the grid (in)visible
                    238:             document.ggbApplet_$id.setGridVisible($gvisible);
                    239: ENDAXESSCRIPT
                    240: }
                    241: 
1.14      www       242: sub axes_label {
                    243:     my ($id,$xlabel,$ylabel)=@_;
                    244:     unless ($xlabel || $ylabel) { return ''; }
                    245:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
                    246:     if ($xlabel) {
                    247:        $return.=(<<ENDXAXISLABELSCRIPT);
                    248: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
                    249: document.ggbApplet_$id.setVisible("Xlabel",false);
                    250: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
                    251: ENDXAXISLABELSCRIPT
                    252:     }
                    253:     if ($ylabel) {
                    254:        $return.=(<<ENDYAXISLABELSCRIPT);
                    255: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
                    256: document.ggbApplet_$id.setVisible("Ylabel",false);
                    257: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
                    258: ENDYAXISLABELSCRIPT
                    259:     }
                    260:     return $return;
                    261: }
                    262: 
1.4       www       263: sub plot_script {
1.6       www       264:    my ($id,$function,$fixed)=@_;
                    265:    if ($fixed) {
                    266: # Use stupid trick to nail this to a location
1.14      www       267: # Oddly, it seems like only one plot cannot be nailed to a location
                    268: # Non-nailed-down plots apparently get overwritten
1.6       www       269:       return (<<ENDPLOTSCRIPT);
                    270:             document.ggbApplet_$id.evalCommand("a=1");
                    271:             document.ggbApplet_$id.setVisible("a",false);
                    272:             // This MUST be a DEPENDENT OBJECT in order to be locked down:
                    273:             document.ggbApplet_$id.evalCommand("y=a*($function)");
1.4       www       274: ENDPLOTSCRIPT
1.6       www       275:    } else {
                    276:        return "document.ggbApplet_$id.evalCommand('y=$function')";
                    277:    }
1.4       www       278: }
                    279: 
1.5       www       280: #
1.7       www       281: # Subroutine that generates code for spline $label based on stored information
1.6       www       282: #
                    283: 
                    284: sub generate_spline {
                    285:    my ($id,$label)=@_;
                    286:    my $result='';
1.7       www       287:    my $order=$Apache::functionplotresponse::splineorder{$label};
                    288:    my $x=$Apache::functionplotresponse::splineinitx{$label};
                    289:    my $y=$Apache::functionplotresponse::splineinity{$label};
                    290:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
                    291:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
                    292:    my @coords=();
                    293:    foreach my $i (1..$order) {
                    294:        $result.=&new_coordinate($id,$label.'P'.$i,$x,$y);
1.8       www       295:        $x+=$sx/(2.*($order-1));
1.7       www       296:        push(@coords,$label.'P'.$i);
                    297:        $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy);
1.8       www       298:        $x+=$sx/(2.*($order-1));
1.7       www       299:        push(@coords,$label.'S'.$i);
                    300:    }
                    301:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
1.6       www       302:    return $result;
                    303: }
                    304: #
                    305: # <backgroundplot function="..." fixed="yes/no" />
1.5       www       306: #
1.4       www       307: sub start_backgroundplot {
                    308:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    309:    my $result='';
                    310:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
                    311:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
1.6       www       312:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
                    313:  
1.4       www       314:    unless ($function) { $function="0"; }
                    315:    if ($target eq 'web') {
1.6       www       316:       $result.=&plot_script($internalid,$function,$fixed);
1.13      www       317:    } elsif ($target eq 'edit') {
                    318:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
                    319:              &Apache::edit::text_arg('Function:','function',
                    320:                                      $token,'16').
                    321:              &Apache::edit::select_arg('Fixed location:','fixed',
                    322:                                   ['yes','no'],$token).
                    323:              &Apache::edit::end_row();
                    324:   } elsif ($target eq 'modified') {
                    325:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                    326:                                                  $safeeval,'function','fixed');
                    327:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    328:   }
                    329:   return $result;
1.4       www       330: }
                    331: 
                    332: sub end_backgroundplot {
1.13      www       333:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    334:    my $result='';
                    335:    if ($target eq 'edit') {
                    336:        $result=&Apache::edit::end_table();
                    337:    }
                    338:    return $result;
1.6       www       339: }
                    340: 
                    341: #
1.25    ! www       342: # <functionplotrule ... />
1.12      www       343: #
1.25    ! www       344: sub start_functionplotrule {
1.12      www       345:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    346:    my $result='';
1.24      www       347:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
                    348:    $Apache::functionplotresponse::counter++;
                    349:    if ($label=~/\W/) {
1.25    ! www       350:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1.24      www       351:    }
                    352:    $label=~s/\W//gs;
                    353:    unless ($label) {
                    354:       $label='R'.$Apache::functionplotresponse::counter;
                    355:    } else {
                    356:       $label='R'.$label;
                    357:    }
                    358:    if ($Apache::functionplotresponse::splineorder{$label}) {
1.25    ! www       359:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
1.24      www       360:    }
                    361: 
                    362: 
                    363:    if ($target eq 'grade') {
                    364: # Simply remember - in order - for later
1.25    ! www       365:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
        !           366:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
1.24      www       367:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
1.25    ! www       368:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
1.24      www       369:       }
                    370:       $beginninglabel=~s/\W//gs;
                    371:       $endinglabel=~s/\W//gs;
                    372:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
                    373:       $relationship=~s/\W//gs;
                    374:       $relationship=lc($relationship);
                    375:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
1.25    ! www       376:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
1.24      www       377:           $relationship='eq';
                    378:       }
                    379:       my $derivative=&Apache::lonxml::get_param('derivative',$parstack,$safeeval);
                    380:       unless (($derivative==0) || ($derivative==1) || ($derivative==2)) {
1.25    ! www       381:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
1.24      www       382:          $derivative=0;
                    383:       }
1.25    ! www       384:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
1.24      www       385:            $label,
                    386:            $derivative,
1.25    ! www       387:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
1.24      www       388:            $beginninglabel,
1.25    ! www       389:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
1.24      www       390:            $endinglabel,
                    391:            $relationship,
                    392:            &Apache::lonxml::get_param('value',$parstack,$safeeval)
                    393:           )));
                    394:    } elsif ($target eq 'edit') {
1.25    ! www       395:       $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
1.24      www       396:               &Apache::edit::end_row();
1.13      www       397:    }
1.12      www       398:    return $result;
                    399: }
                    400: 
1.25    ! www       401: sub end_functionplotrule {
1.13      www       402:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    403:    my $result='';
                    404:    if ($target eq 'edit') {
                    405:        $result=&Apache::edit::end_table();
                    406:    }
                    407:    return $result;
1.12      www       408: }
                    409: 
                    410: 
                    411: #
1.23      www       412: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
1.6       www       413: #
                    414: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
                    415: #
                    416: sub start_spline {
                    417:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1.13      www       418:    my $result='';
                    419:    if ($target eq 'web') {
1.23      www       420:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1.13      www       421:       $Apache::functionplotresponse::counter++;
                    422:       if ($label=~/\W/) {
1.23      www       423:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
1.13      www       424:       }
                    425:       $label=~s/\W//gs;
1.23      www       426:       unless ($label) { 
                    427:          $label='S'.$Apache::functionplotresponse::counter; 
                    428:       } else {
                    429:          $label='S'.$label;
                    430:       }
1.13      www       431:       if ($Apache::functionplotresponse::splineorder{$label}) {
1.23      www       432:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
1.13      www       433:       }
                    434: 
                    435:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
                    436:       if ($order<2) { $order=2; }
                    437:       if ($order>8) { $order=8; }
                    438:       $Apache::functionplotresponse::splineorder{$label}=$order;
                    439: 
                    440:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
                    441:       unless ($x) { $x=0; }
                    442:       $Apache::functionplotresponse::splineinitx{$label}=$x;
                    443: 
                    444:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
                    445:       unless ($y) { $y=0; }
                    446:       $Apache::functionplotresponse::splineinity{$label}=$y;
                    447: 
                    448:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
                    449:       unless ($sx) { $sx=$order; }
                    450:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
                    451: 
                    452:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
                    453:       unless ($sy) { $sy=2; }
                    454:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
                    455:    } elsif ($target eq 'edit') {
                    456:         $result=&Apache::edit::tag_start($target,$token,'Spline').
1.23      www       457:              &Apache::edit::text_arg('Index:','index',
1.14      www       458:                                      $token,'4').'&nbsp;'.
1.13      www       459:              &Apache::edit::select_arg('Order:','order',
1.14      www       460:                                   ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
1.13      www       461:              &Apache::edit::text_arg('Initial x-value:','initx',
1.14      www       462:                                      $token,'4').'&nbsp;'.
1.13      www       463:              &Apache::edit::text_arg('Initial y-value:','inity',
1.14      www       464:                                      $token,'4').'&nbsp;'.
1.13      www       465:              &Apache::edit::text_arg('Scale x:','scalex',
1.14      www       466:                                      $token,'4').'&nbsp;'.
1.13      www       467:              &Apache::edit::text_arg('Scale y:','scaley',
                    468:                                      $token,'4').
                    469:              &Apache::edit::end_row();
                    470:   } elsif ($target eq 'modified') {
                    471:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.23      www       472:                                                  $safeeval,'index','order','initx','inity',
1.13      www       473:                                                            'scalex','scaley');
                    474:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    475:   }
                    476:   return $result;
1.6       www       477: }
                    478: 
                    479: sub end_spline {
1.13      www       480:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    481:    my $result='';
                    482:    if ($target eq 'edit') {
                    483:        $result=&Apache::edit::end_table();
                    484:    }
                    485:    return $result;
1.4       www       486: }
                    487:  
1.3       www       488: sub end_init_script {
                    489:     return (<<ENDENDINIT);
                    490: }
                    491: // ]]>
                    492: </script>
                    493: ENDENDINIT
                    494: }
                    495: 
1.10      www       496: #
                    497: # Storing and restoring spline coordinates from part answers
                    498: #
                    499: sub decode_previous_answer {
                    500:    my ($answer)=@_;
                    501:    foreach my $coordinate (split(/\,/,$answer)) {
                    502:       my ($key,$value)=split(/\=/,$coordinate);
                    503:       $Apache::functionplotresponse::previous{$key}=$value;
                    504:    }
                    505: }
                    506: 
                    507: sub get_answer_from_form_fields {
                    508:    my ($id)=@_;
                    509:    my $answer='';
                    510:    my %coords=();
                    511:    foreach my $field (keys(%env)) {
                    512:       if ($field=~/^form\.HWVAL\_$id/) {
                    513:          $field=~/^form\.(.*)$/;
                    514:          $coords{$1}=$env{$field};
                    515:       }
                    516:    }
                    517:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
                    518:    return ($answer,%coords);
                    519: }
                    520: 
1.15      www       521: #
                    522: # The following functions calculate the cubic-hermite splines server-side
                    523: #
                    524: 
                    525: sub cubic_hermite {
                    526:    my ($t,$p1,$s1,$p2,$s2)=@_;
                    527:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
                    528:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 5.*($t*$t*$t-$t*$t)      *($s2-$p2);
                    529: }
                    530: 
                    531: #
                    532: # d/dt(...)
                    533: # 
                    534: 
                    535: sub ddt_cubic_hermite {
                    536:    my ($t,$p1,$s1,$p2,$s2)=@_;
                    537:    return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
                    538:           (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t)   *($s2-$p2);
                    539: }
                    540: 
                    541: #
                    542: # d^2/dt^2(...)
                    543: #
                    544: 
                    545: sub d2dt2_cubic_hermite {
                    546:    my ($t,$p1,$s1,$p2,$s2)=@_;
                    547:    return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
                    548:           (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
                    549: }
                    550: 
                    551: #
1.18      www       552: # Array index calculation
                    553: #
                    554: sub array_index {
                    555:    my ($xmin,$xmax,$x)=@_;
1.20      www       556:    return int(($x-$xmin)/($xmax-$xmin)*200.+0.5);
                    557: }
                    558: 
                    559: #
                    560: # Actual x-value of array index
                    561: #
                    562: 
                    563: sub index_x {
                    564:    my ($xmin,$xmax,$i)=@_;
                    565:    return $i*($xmax-$xmin)/200.+$xmin;
                    566: }
                    567: 
                    568: #
                    569: # Assume function to be linear between array points
                    570: # Return the two indices and the scale factor
                    571: #
                    572: 
                    573: sub indices_scale {
                    574:    my ($xmin,$xmax,$x)=@_;
                    575:    my $i=&array_index($xmin,$xmax,$x);
                    576:    my $xr=&index_x($xmin,$xmax,$i);
                    577:    if ($xr<$x) {
                    578: # Desired x is right of array index
                    579:       if ($i>=200) { return (200,200,0); }
                    580:       return($i,$i+1,200.*($x-$xr)/($xmax-$xmin));
                    581:    } elsif ($xr>$x) {
                    582: # Desired x is left of array index
                    583:       if ($i<=0) { return (0,0,0); }
                    584:       return($i-1,$i,1.-200.*($xr-$x)/($xmax-$xmin));
                    585:    } else {
                    586: # Desired x is at array index (unlikely, but ...)
                    587:       if ($i>=200) { return (200,200,0); }
                    588:       if ($i<=0) { return (0,0,0); }
                    589:       return ($i,$i,0);
                    590:    }
                    591: }
                    592: 
                    593: #
                    594: # Function value
                    595: #
                    596: 
                    597: sub func_val {
                    598:    my ($xmin,$xmax,$x)=@_;
                    599:    my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
                    600:    my $fl=$Apache::functionplotresponse::func[$il];
                    601:    my $fh=$Apache::functionplotresponse::func[$ih];
                    602:    unless (defined($fl) || defined($fh)) { return undef; }
                    603:    unless (defined($fl)) { return $fh; }
                    604:    unless (defined($fh)) { return $fl; }
1.22      www       605:    return $fl+$factor*($fh-$fl);
                    606: }
                    607: 
                    608: #
                    609: # First derivative
                    610: #
                    611: 
                    612: sub dfuncdx_val {
                    613:    my ($xmin,$xmax,$x)=@_;
                    614:    my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
                    615:    my $fl=$Apache::functionplotresponse::dfuncdx[$il];
                    616:    my $fh=$Apache::functionplotresponse::dfuncdx[$ih];
                    617:    unless (defined($fl) || defined($fh)) { return undef; }
                    618:    unless (defined($fl)) { return $fh; }
                    619:    unless (defined($fh)) { return $fl; }
                    620:    return $fl+$factor*($fh-$fl);
                    621: }
                    622: 
                    623: #
                    624: # Second derivative
                    625: #
                    626: 
                    627: sub d2funcdx2_val {
                    628:    my ($xmin,$xmax,$x)=@_;
                    629:    my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
                    630:    my $fl=$Apache::functionplotresponse::d2funcdx2[$il];
                    631:    my $fh=$Apache::functionplotresponse::d2funcdx2[$ih];
                    632:    unless (defined($fl) || defined($fh)) { return undef; }
                    633:    unless (defined($fl)) { return $fh; }
                    634:    unless (defined($fh)) { return $fl; }
                    635:    return $fl+$factor*($fh-$fl);
1.18      www       636: }
                    637: 
                    638: #
                    639: # Populate the arrays
                    640: #
                    641: 
                    642: sub populate_arrays {
                    643:     my ($id,$xmin,$xmax)=@_;
                    644:     for (my $i=0; $i<=200; $i++) {
1.19      www       645:        $Apache::functionplotresponse::func[$i]=undef;
1.22      www       646:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
1.19      www       647:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1.18      www       648:     }
1.19      www       649:     unless ($xmax>$xmin) { return 'no_func'; }
1.18      www       650: # Run over all splines in response
                    651:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1.19      www       652:         my $xiold=-1;
1.18      www       653: # Run over all points in spline
1.19      www       654:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1.18      www       655:             my $ni=$i+1;
                    656:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
                    657:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
                    658:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
                    659:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
                    660:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
                    661:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
                    662:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
                    663:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
                    664: # Run in small steps over spline parameter
                    665:             for (my $t=0; $t<=1; $t+=0.00025) {
                    666:                 my $xi=&array_index($xmin,$xmax,&cubic_hermite($t,@xparms));
1.19      www       667:                 if ($xi<$xiold) { return 'no_func'; }
                    668:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=200)) {
                    669:                    if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
1.18      www       670:                    $xiold=$xi;
1.22      www       671: # Function value
1.18      www       672:                    $Apache::functionplotresponse::func[$xi]=&cubic_hermite($t,@yparms);
1.22      www       673: # dy/dx=dy/dt/(dx/dt)
                    674:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
                    675:                    if ($dxdt) {
                    676:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
                    677:                    }
                    678: # d^2y/dx^2
                    679:                    my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms);
                    680:                    if ($d2xdt2) {
                    681:                       $Apache::functionplotresponse::d2funcd2x[$xi]=&d2dt2_cubic_hermite($t,@yparms)/$d2xdt2;
                    682:                    }
1.18      www       683:                 }
                    684:             }
                    685:         }
                    686:     }
                    687: }
                    688: 
                    689: #
1.15      www       690: # Implentation of <functionplotresponse>
                    691: #
                    692: 
1.1       www       693: sub start_functionplotresponse {
                    694:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    695:   my $result='';
1.6       www       696: # To remember the splines - somehow, they need to come last
                    697:   undef %Apache::functionplotresponse::splineorder;
                    698:   undef %Apache::functionplotresponse::splineinitx;
                    699:   undef %Apache::functionplotresponse::splineinity;
                    700:   undef %Apache::functionplotresponse::splinescalex;
                    701:   undef %Apache::functionplotresponse::splinescaley;
1.10      www       702: # Remember input fields, etc
                    703:   undef %Apache::functionplotresponse::previous;
1.9       www       704:   $Apache::functionplotresponse::inputfields='';
1.6       www       705:   $Apache::functionplotresponse::counter=0;
1.24      www       706: # Remember rules
1.25    ! www       707:   undef @Apache::functionplotresponse::functionplotrules;
1.10      www       708: # Part and ID
                    709:   my $partid=$Apache::inputtags::part;
                    710:   my $id=&Apache::response::start_response($parstack,$safeeval);
1.6       www       711: # Internal ID to mark the applet and its coordinates
1.10      www       712:   my $internalid = $partid.'_'.$id;
                    713: # Previous answer
                    714:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
                    715: 
1.6       www       716: # Parameters of <functionplotresponse>
1.3       www       717:   my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
1.18      www       718:   $xmin=(defined($xmin)?$xmin:-10);
1.3       www       719:   my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
1.18      www       720:   $xmax=(defined($xmax)?$xmax:10);
1.3       www       721:   my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
1.18      www       722:   $ymin=(defined($ymin)?$ymin:-10);
1.3       www       723:   my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
1.18      www       724:   $ymax=(defined($ymax)?$ymax:10);
1.25    ! www       725:   if ($xmax<=$xmin) {
        !           726:      &Apache::lonxml::warning('Maximum x-value needs to be larger than minimum value.');
        !           727:      $xmax=$xmin+20;
        !           728:   }
        !           729:   if ($ymax<=$ymin) {
        !           730:      &Apache::lonxml::warning('Maximum y-value needs to be larger than minimum value.');
        !           731:      $ymax=$ymin+20;
        !           732:   }
1.6       www       733:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    734:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    735:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1.14      www       736:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
                    737:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1.12      www       738:   if ($target eq 'edit') {
                    739:     $result.=&Apache::edit::start_table($token)
                    740:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
                    741:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
                    742:        .&Apache::edit::deletelist($target,$token)
                    743:        .'</span></td>'
                    744:        ."<td>&nbsp;"
                    745:        .&Apache::edit::end_row()
                    746:        .&Apache::edit::start_spanning_row()
                    747:        ."\n";
1.14      www       748:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
                    749:                                      $token,'6').'&nbsp;'.
                    750:              &Apache::edit::text_arg('Minimum x-value:','xmin',
                    751:                                      $token,'4').'&nbsp;'.
1.12      www       752:              &Apache::edit::text_arg('Maximum x-value:','xmax',
1.14      www       753:                                      $token,'4').'&nbsp;'.
1.12      www       754:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1.14      www       755:                                   ['yes','no'],$token).'&nbsp;&nbsp;'.
                    756:              &Apache::edit::text_arg('Label y-axis:','ylabel',
                    757:                                      $token,'6').'&nbsp;'.
1.12      www       758:              &Apache::edit::text_arg('Minimum y-value:','ymin',
1.14      www       759:                                      $token,'4').'&nbsp;'.
1.12      www       760:              &Apache::edit::text_arg('Maximum y-value:','ymax',
1.14      www       761:                                      $token,'4').'&nbsp;'.
1.12      www       762:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1.14      www       763:                                   ['yes','no'],$token).'&nbsp;&nbsp;'.
1.12      www       764:              &Apache::edit::select_arg('Grid visible:','gridvisible',
                    765:                                   ['yes','no'],$token).
                    766:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
                    767:   } elsif ($target eq 'modified') {
                    768:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.14      www       769:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
1.12      www       770:                                                            'xaxisvisible','yaxisvisible','gridvisible');
                    771:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1.3       www       772: 
1.12      www       773:   } elsif ($target eq 'meta') {
1.10      www       774:        $result=&Apache::response::meta_package_write('functionplotresponse');
1.12      www       775:   } elsif ($target eq 'web') {
1.5       www       776: # paste in the update routine to receive stuff back from the applet
                    777:      $result.=&update_script($internalid);
                    778: # start the initscript for this applet
1.3       www       779:      $result.=&start_init_script($internalid);
1.5       www       780: # put the axis commands inside
1.4       www       781:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1.14      www       782:      $result.=&axes_label($internalid,$xlabel,$ylabel);
1.5       www       783: # init script is left open
1.1       www       784:   }
                    785:   return $result;
                    786: }
                    787: 
1.25    ! www       788: sub compare_rel {
        !           789:    my ($relationship,$value,$val,$tol)=@_;
        !           790:    if (abs($value-$val)<$tol) { return 1; }
        !           791:    return 0;
        !           792: }
        !           793: 
        !           794: sub functionplotrulecheck {
        !           795:    my ($rule,$xmin,$xmax,$tolfunc,$toldfdx,$told2fdx2)=@_;
        !           796:    &Apache::lonnet::logthis("Rule $rule TolFunc $tolfunc TolDfDx $toldfdx TolD2fDx2 $told2fdx2");
        !           797:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$relationship,$value)
        !           798:       =split(/\:/,$rule);
        !           799: # if a hard value is set for the boundaries, it overrides the label
        !           800:    if (($xinitial ne '') && ($xinitiallabel ne '')) {
        !           801:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$xinitial;
        !           802:    }
        !           803:    if (($xfinal ne '') && ($xfinallabel ne '')) {
        !           804:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$xfinal;
        !           805:    }
        !           806:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
        !           807:       $xinitial=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
        !           808:    }
        !           809:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
        !           810:       $xfinal=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel};
        !           811:    }
        !           812: # Basic sanity checks
        !           813:    if ($xinitial eq '') {
        !           814:       $xinitial=0;
        !           815:    }
        !           816:    if ($xfinal ne '') {
        !           817:       if ($xinitial>$xfinal) {
        !           818:          $xfinal=$xinitial;
        !           819:       }
        !           820:    }
        !           821:    &Apache::lonnet::logthis("Init $xinitial Final $xfinal");
        !           822:    if (($xfinal eq '') || ($xinitial==$xfinal)) {
        !           823: # This is only one point
        !           824:         &Apache::lonnet::logthis("One point $xinitial");
        !           825:         my $tol;
        !           826:         my $val;
        !           827:         if ($derivative==2) {
        !           828:            $val=&d2funcdx2_val($xmin,$xmax,$xinitial);
        !           829:            $tol=$told2fdx2;
        !           830:         } elsif ($derivative==1) {
        !           831:            $val=&dfuncdx_val($xmin,$xmax,$xinitial);
        !           832:            $tol=$toldfdx;
        !           833:         } else {
        !           834:            $val=&func_val($xmin,$xmax,$xinitial);
        !           835:            $tol=$tolfunc;
        !           836:         }
        !           837:         &Apache::lonnet::logthis("Value $value ActVal $val Tol $tol");
        !           838:         return &compare_rel($relationship,$value,$val,$tol);
        !           839:    } else {
        !           840: # This is a range
        !           841:    }
1.24      www       842:    return 0;
                    843: }
                    844: 
                    845: 
1.1       www       846: sub end_functionplotresponse {
                    847:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    848:   &Apache::response::end_response;
1.3       www       849: 
1.1       www       850:   my $result;
1.10      www       851:   my $id=$Apache::inputtags::response[-1];
                    852:   my $partid=$Apache::inputtags::part;
                    853:   my $internalid = $partid.'_'.$id;
1.3       www       854: 
1.12      www       855:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
1.10      www       856:     if ($target eq 'grade'
                    857:          && &Apache::response::submitted()
                    858:          && $Apache::lonhomework::type eq 'exam') {
                    859: 
                    860:         #&Apache::response::scored_response($partid,$id);
                    861: 
                    862:     } elsif ($target eq 'grade'
                    863:          && &Apache::response::submitted()
                    864:          && $Apache::lonhomework::type ne 'exam') {
                    865:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
                    866:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
1.12      www       867:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
                    868: #
                    869: # Actually grade
                    870: #
1.18      www       871:         my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
                    872:         $xmin=(defined($xmin)?$xmin:-10);
                    873:         my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
                    874:         $xmax=(defined($xmax)?$xmax:10);
1.25    ! www       875:         my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
        !           876:         $ymin=(defined($ymin)?$ymin:-10);
        !           877:         my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
        !           878:         $ymax=(defined($ymax)?$ymax:10);
        !           879:         my $tolfunc=($ymax-$ymin)/100.;
        !           880:         my $toldfdx=1;
        !           881:         my $told2fdx2=1;
        !           882:         if ($xmax>$xmin) {
        !           883:            $toldfdx=$tolfunc/($xmax-$xmin);
        !           884:            $told2fdx2=$toldfdx/($xmax-$xmin);
        !           885:         }
        !           886: 
1.24      www       887:         my $ad='';
1.18      www       888:         if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
1.21      www       889:            $ad='NOT_FUNCTION';
1.18      www       890:         } else {
1.24      www       891: # We have a function that we can actually grade, go through the spline rules.
1.25    ! www       892:            undef  %Apache::functionplotresponse::functionplotrulelabels;
        !           893:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
        !           894:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$tolfunc,$toldfdx,$told2fdx2)) {
1.24      www       895:                  $ad='INCORRECT';
                    896:                  last;
                    897:               }
                    898:            }
                    899: # If it's not wrong, it's correct 
                    900:            unless ($ad) { $ad='EXACT_ANS' };
1.18      www       901:         }
1.20      www       902: 
1.12      www       903: #
                    904: # Store grading info
                    905: #
                    906:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
                    907:         &Apache::response::handle_previous(\%previous,$ad);
1.10      www       908:    } elsif ($target eq 'web') {
1.6       www       909: # Now is the time to render all of the stored splines
                    910:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
                    911:         $result.=&generate_spline($internalid,$label);
                    912:      }
1.5       www       913: # close the init script
1.3       www       914:      $result.=&end_init_script();
1.17      www       915: # register all splines in this response 
                    916:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
                    917:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
                    918:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
                    919:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
                    920:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
                    921:      }
1.9       www       922: # generate the input fields
                    923:      $result.=$Apache::functionplotresponse::inputfields;
1.5       www       924: # actually start the <applet>-tag
1.3       www       925:      $result.=&geogebra_startcode($internalid);
1.5       www       926: # load the spline bytecode
1.3       www       927:      $result.=&geogebra_spline_program();
1.5       www       928: # set default parameters
1.3       www       929:      $result.=&geogebra_default_parameters($internalid);
1.5       www       930: # close the <applet>-tag
1.1       www       931:      $result.=&geogebra_endcode();
                    932:   }
                    933:   return $result;
                    934: }
                    935: 
                    936: 1;
                    937: 
                    938: __END__
                    939:  
                    940: =head1 NAME
                    941: 
                    942: Apache::functionplotresponse.pm;
                    943: 
                    944: =head1 SYNOPSIS
                    945: 
                    946: Handles tags associated with accepting function plots.
                    947: 
                    948: This is part of the LearningOnline Network with CAPA project
                    949: described at http://www.lon-capa.org.
                    950: 
                    951: =head1 HANDLER SUBROUTINE
                    952: 
                    953: start_functionplotresponse()
                    954: 
                    955: =head1 OTHER SUBROUTINES
                    956: 
                    957: =over
                    958: 
                    959: =item end_functionplotresponse()
                    960: 
                    961: =back
                    962: 
                    963: =cut

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