Annotation of loncom/homework/functionplotresponse.pm, revision 1.36

1.1       www         1: # LearningOnline Network with CAPA
                      2: # option list style responses
                      3: #
1.36    ! www         4: # $Id: functionplotresponse.pm,v 1.35 2010/11/12 02:16:20 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;
1.36    ! www        34:  
1.1       www        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:       }
1.35      www       379:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
1.24      www       380:       unless (($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:            $endinglabel,
1.35      www       391:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
                    392:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
1.24      www       393:            $relationship,
1.33      www       394:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
                    395:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
1.24      www       396:           )));
                    397:    } elsif ($target eq 'edit') {
1.29      www       398:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
1.36    ! www       399:              &Apache::edit::text_arg('Index/Name:','index',
        !           400:                                      $token,'10').'&nbsp;'.
1.35      www       401:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
1.29      www       402:                                   [['0','Function itself'],
                    403:                                    ['1','First derivative'],
1.32      www       404:                                    ['2','Second derivative']],$token).'<br />'.
1.29      www       405:              &Apache::edit::text_arg('(Initial) x-value:','xinitial',
1.35      www       406:                                       $token,'8').
1.30      www       407:              &Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel',
1.32      www       408:                                                [['start','Start of Plot']],$token,'8').'<br />'.
1.30      www       409: 
                    410:              &Apache::edit::text_arg('Optional final x-value for ranges:','xfinal',
1.35      www       411:                                       $token,'8').
1.30      www       412:              &Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel',
1.32      www       413:                                                [['end','End of Plot']],$token,'8').'<br />'.
1.35      www       414:              &Apache::edit::text_arg('Optional minimum length for range:','minimumlength',
                    415:                                      $token,'8').
                    416:              &Apache::edit::text_arg('Optional maximum length for range:','maximumlength',
                    417:                                      $token,'8').'<br />'.
1.29      www       418:              &Apache::edit::select_arg(&mt('Relationship:'),'relationship',
                    419:                                   [['eq','equal'],
                    420:                                    ['ne','not equal'],
                    421:                                    ['ge','greater than or equal'],
                    422:                                    ['gt','greater than'],
                    423:                                    ['lt','less than'],
                    424:                                    ['le','less than or equal']],$token).
                    425:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
1.35      www       426:                                                [['undef','not defined']],$token,'8').
1.29      www       427:              &Apache::edit::text_arg('Percent error:','percenterror',
1.35      www       428:                                      $token,'8').
1.29      www       429:              &Apache::edit::end_row();
                    430:   } elsif ($target eq 'modified') {
                    431:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.35      www       432:                                                  $safeeval,'index','derivativeorder',
                    433:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
                    434:                                                            'minimumlength','maximumlength',
                    435:                                                            'relationship','value','percenterror');
1.29      www       436:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1.13      www       437:    }
1.12      www       438:    return $result;
                    439: }
                    440: 
1.25      www       441: sub end_functionplotrule {
1.13      www       442:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    443:    my $result='';
                    444:    if ($target eq 'edit') {
                    445:        $result=&Apache::edit::end_table();
                    446:    }
                    447:    return $result;
1.12      www       448: }
                    449: 
                    450: 
                    451: #
1.23      www       452: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
1.6       www       453: #
                    454: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
                    455: #
                    456: sub start_spline {
                    457:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1.13      www       458:    my $result='';
                    459:    if ($target eq 'web') {
1.23      www       460:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1.13      www       461:       $Apache::functionplotresponse::counter++;
                    462:       if ($label=~/\W/) {
1.23      www       463:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
1.13      www       464:       }
                    465:       $label=~s/\W//gs;
1.23      www       466:       unless ($label) { 
                    467:          $label='S'.$Apache::functionplotresponse::counter; 
                    468:       } else {
                    469:          $label='S'.$label;
                    470:       }
1.13      www       471:       if ($Apache::functionplotresponse::splineorder{$label}) {
1.23      www       472:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
1.13      www       473:       }
                    474: 
                    475:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
                    476:       if ($order<2) { $order=2; }
                    477:       if ($order>8) { $order=8; }
                    478:       $Apache::functionplotresponse::splineorder{$label}=$order;
                    479: 
                    480:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
                    481:       unless ($x) { $x=0; }
                    482:       $Apache::functionplotresponse::splineinitx{$label}=$x;
                    483: 
                    484:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
                    485:       unless ($y) { $y=0; }
                    486:       $Apache::functionplotresponse::splineinity{$label}=$y;
                    487: 
                    488:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
                    489:       unless ($sx) { $sx=$order; }
                    490:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
                    491: 
                    492:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
                    493:       unless ($sy) { $sy=2; }
                    494:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
                    495:    } elsif ($target eq 'edit') {
                    496:         $result=&Apache::edit::tag_start($target,$token,'Spline').
1.23      www       497:              &Apache::edit::text_arg('Index:','index',
1.14      www       498:                                      $token,'4').'&nbsp;'.
1.13      www       499:              &Apache::edit::select_arg('Order:','order',
1.14      www       500:                                   ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
1.13      www       501:              &Apache::edit::text_arg('Initial x-value:','initx',
1.14      www       502:                                      $token,'4').'&nbsp;'.
1.13      www       503:              &Apache::edit::text_arg('Initial y-value:','inity',
1.14      www       504:                                      $token,'4').'&nbsp;'.
1.13      www       505:              &Apache::edit::text_arg('Scale x:','scalex',
1.14      www       506:                                      $token,'4').'&nbsp;'.
1.13      www       507:              &Apache::edit::text_arg('Scale y:','scaley',
                    508:                                      $token,'4').
                    509:              &Apache::edit::end_row();
                    510:   } elsif ($target eq 'modified') {
                    511:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.23      www       512:                                                  $safeeval,'index','order','initx','inity',
1.13      www       513:                                                            'scalex','scaley');
                    514:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    515:   }
                    516:   return $result;
1.6       www       517: }
                    518: 
                    519: sub end_spline {
1.13      www       520:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    521:    my $result='';
                    522:    if ($target eq 'edit') {
                    523:        $result=&Apache::edit::end_table();
                    524:    }
                    525:    return $result;
1.4       www       526: }
                    527:  
1.3       www       528: sub end_init_script {
                    529:     return (<<ENDENDINIT);
                    530: }
                    531: // ]]>
                    532: </script>
                    533: ENDENDINIT
                    534: }
                    535: 
1.10      www       536: #
                    537: # Storing and restoring spline coordinates from part answers
                    538: #
                    539: sub decode_previous_answer {
                    540:    my ($answer)=@_;
                    541:    foreach my $coordinate (split(/\,/,$answer)) {
                    542:       my ($key,$value)=split(/\=/,$coordinate);
                    543:       $Apache::functionplotresponse::previous{$key}=$value;
                    544:    }
                    545: }
                    546: 
                    547: sub get_answer_from_form_fields {
                    548:    my ($id)=@_;
                    549:    my $answer='';
                    550:    my %coords=();
                    551:    foreach my $field (keys(%env)) {
                    552:       if ($field=~/^form\.HWVAL\_$id/) {
                    553:          $field=~/^form\.(.*)$/;
                    554:          $coords{$1}=$env{$field};
                    555:       }
                    556:    }
                    557:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
                    558:    return ($answer,%coords);
                    559: }
                    560: 
1.15      www       561: #
                    562: # The following functions calculate the cubic-hermite splines server-side
                    563: #
                    564: 
                    565: sub cubic_hermite {
                    566:    my ($t,$p1,$s1,$p2,$s2)=@_;
                    567:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
                    568:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 5.*($t*$t*$t-$t*$t)      *($s2-$p2);
                    569: }
                    570: 
                    571: #
                    572: # d/dt(...)
                    573: # 
                    574: 
                    575: sub ddt_cubic_hermite {
                    576:    my ($t,$p1,$s1,$p2,$s2)=@_;
                    577:    return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
                    578:           (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t)   *($s2-$p2);
                    579: }
                    580: 
                    581: #
                    582: # d^2/dt^2(...)
                    583: #
                    584: 
                    585: sub d2dt2_cubic_hermite {
                    586:    my ($t,$p1,$s1,$p2,$s2)=@_;
                    587:    return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
                    588:           (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
                    589: }
                    590: 
                    591: #
1.18      www       592: # Array index calculation
                    593: #
                    594: sub array_index {
                    595:    my ($xmin,$xmax,$x)=@_;
1.26      www       596:    return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
1.20      www       597: }
                    598: 
                    599: #
1.18      www       600: # Populate the arrays
                    601: #
                    602: 
                    603: sub populate_arrays {
                    604:     my ($id,$xmin,$xmax)=@_;
1.26      www       605:     for (my $i=0; $i<=400; $i++) {
1.35      www       606:        $Apache::functionplotresponse::actualxval[$i]=undef;
1.19      www       607:        $Apache::functionplotresponse::func[$i]=undef;
1.22      www       608:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
1.19      www       609:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1.18      www       610:     }
1.19      www       611:     unless ($xmax>$xmin) { return 'no_func'; }
1.18      www       612: # Run over all splines in response
                    613:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1.19      www       614:         my $xiold=-1;
1.18      www       615: # Run over all points in spline
1.19      www       616:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1.18      www       617:             my $ni=$i+1;
                    618:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
                    619:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
                    620:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
                    621:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
                    622:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
                    623:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
                    624:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
                    625:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
                    626: # Run in small steps over spline parameter
1.26      www       627:             for (my $t=0; $t<=1; $t+=0.0001) {
1.35      www       628:                 my $xreal=&cubic_hermite($t,@xparms);
                    629:                 my $xi=&array_index($xmin,$xmax,$xreal);
1.19      www       630:                 if ($xi<$xiold) { return 'no_func'; }
1.26      www       631:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
1.19      www       632:                    if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
1.18      www       633:                    $xiold=$xi;
1.35      www       634:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
1.22      www       635: # Function value
1.30      www       636:                    my $funcval=&cubic_hermite($t,@yparms);
                    637:                    $Apache::functionplotresponse::func[$xi]=$funcval;
                    638:                    if (defined($funcval)) {
                    639:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
                    640:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
                    641:                       }
                    642:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
                    643:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
                    644:                       }
                    645:                    }
1.28      www       646: # Chain rule
1.22      www       647: # dy/dx=dy/dt/(dx/dt)
                    648:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
                    649:                    if ($dxdt) {
                    650:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
1.34      www       651: # Second derivative
1.28      www       652:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
1.34      www       653:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
                    654:                          ($dxdt*$dxdt*$dxdt);
1.22      www       655:                    }
1.18      www       656:                 }
                    657:             }
                    658:         }
                    659:     }
                    660: }
                    661: 
                    662: #
1.15      www       663: # Implentation of <functionplotresponse>
                    664: #
                    665: 
1.1       www       666: sub start_functionplotresponse {
                    667:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    668:   my $result='';
1.6       www       669: # To remember the splines - somehow, they need to come last
                    670:   undef %Apache::functionplotresponse::splineorder;
                    671:   undef %Apache::functionplotresponse::splineinitx;
                    672:   undef %Apache::functionplotresponse::splineinity;
                    673:   undef %Apache::functionplotresponse::splinescalex;
                    674:   undef %Apache::functionplotresponse::splinescaley;
1.10      www       675: # Remember input fields, etc
                    676:   undef %Apache::functionplotresponse::previous;
1.9       www       677:   $Apache::functionplotresponse::inputfields='';
1.6       www       678:   $Apache::functionplotresponse::counter=0;
1.24      www       679: # Remember rules
1.25      www       680:   undef @Apache::functionplotresponse::functionplotrules;
1.10      www       681: # Part and ID
                    682:   my $partid=$Apache::inputtags::part;
                    683:   my $id=&Apache::response::start_response($parstack,$safeeval);
1.6       www       684: # Internal ID to mark the applet and its coordinates
1.10      www       685:   my $internalid = $partid.'_'.$id;
                    686: # Previous answer
                    687:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
                    688: 
1.6       www       689: # Parameters of <functionplotresponse>
1.3       www       690:   my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
1.18      www       691:   $xmin=(defined($xmin)?$xmin:-10);
1.3       www       692:   my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
1.18      www       693:   $xmax=(defined($xmax)?$xmax:10);
1.3       www       694:   my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
1.18      www       695:   $ymin=(defined($ymin)?$ymin:-10);
1.3       www       696:   my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
1.18      www       697:   $ymax=(defined($ymax)?$ymax:10);
1.25      www       698:   if ($xmax<=$xmin) {
                    699:      &Apache::lonxml::warning('Maximum x-value needs to be larger than minimum value.');
                    700:      $xmax=$xmin+20;
                    701:   }
                    702:   if ($ymax<=$ymin) {
                    703:      &Apache::lonxml::warning('Maximum y-value needs to be larger than minimum value.');
                    704:      $ymax=$ymin+20;
                    705:   }
1.6       www       706:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    707:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    708:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1.14      www       709:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
                    710:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1.12      www       711:   if ($target eq 'edit') {
                    712:     $result.=&Apache::edit::start_table($token)
                    713:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
                    714:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
                    715:        .&Apache::edit::deletelist($target,$token)
                    716:        .'</span></td>'
                    717:        ."<td>&nbsp;"
                    718:        .&Apache::edit::end_row()
                    719:        .&Apache::edit::start_spanning_row()
                    720:        ."\n";
1.14      www       721:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
                    722:                                      $token,'6').'&nbsp;'.
                    723:              &Apache::edit::text_arg('Minimum x-value:','xmin',
                    724:                                      $token,'4').'&nbsp;'.
1.12      www       725:              &Apache::edit::text_arg('Maximum x-value:','xmax',
1.14      www       726:                                      $token,'4').'&nbsp;'.
1.12      www       727:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1.32      www       728:                                   ['yes','no'],$token).'<br />'.
1.14      www       729:              &Apache::edit::text_arg('Label y-axis:','ylabel',
                    730:                                      $token,'6').'&nbsp;'.
1.12      www       731:              &Apache::edit::text_arg('Minimum y-value:','ymin',
1.14      www       732:                                      $token,'4').'&nbsp;'.
1.12      www       733:              &Apache::edit::text_arg('Maximum y-value:','ymax',
1.14      www       734:                                      $token,'4').'&nbsp;'.
1.12      www       735:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1.32      www       736:                                   ['yes','no'],$token).'<br />'.
1.12      www       737:              &Apache::edit::select_arg('Grid visible:','gridvisible',
                    738:                                   ['yes','no'],$token).
                    739:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
                    740:   } elsif ($target eq 'modified') {
                    741:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.14      www       742:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
1.12      www       743:                                                            'xaxisvisible','yaxisvisible','gridvisible');
                    744:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1.3       www       745: 
1.12      www       746:   } elsif ($target eq 'meta') {
1.10      www       747:        $result=&Apache::response::meta_package_write('functionplotresponse');
1.12      www       748:   } elsif ($target eq 'web') {
1.5       www       749: # paste in the update routine to receive stuff back from the applet
                    750:      $result.=&update_script($internalid);
                    751: # start the initscript for this applet
1.3       www       752:      $result.=&start_init_script($internalid);
1.5       www       753: # put the axis commands inside
1.4       www       754:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1.14      www       755:      $result.=&axes_label($internalid,$xlabel,$ylabel);
1.5       www       756: # init script is left open
1.35      www       757:   } elsif (($target eq 'answer') &&
                    758:             ($env{'form.answer_output_mode'} ne 'tex') &&
                    759:             ($Apache::lonhomework::viewgrades == 'F')) {
                    760:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
                    761:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
                    762:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
                    763:                                                {'only_body' => 1,
                    764:                                                 'bgcolor'   => '#FFFFFF',
                    765:                                                 'js_ready'  => 1,});
                    766:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
                    767:       $uname =~s/\W//g;
                    768:       $udom  =~s/\W//g;
                    769:       my $function_name =
                    770:                 join('_','LONCAPA_scriptvars',$uname,$udom,
                    771:                      $env{'form.counter'},$Apache::lonxml::curdepth);
                    772:       my $rules_var ="<script type=\"text/javascript\">
                    773: // <![CDATA[
                    774:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
                    775:     $Apache::functionplotresponse::ruleslog.
                    776:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
                    777: // ]]>
                    778: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
                    779:             &Apache::lonxml::add_script_result($rules_var);
                    780:         }
                    781: 
1.1       www       782:   return $result;
                    783: }
                    784: 
1.25      www       785: sub compare_rel {
1.26      www       786:    my ($relationship,$value,$realval,$tol)=@_;
1.36    ! www       787: # is the real value undefined?
1.26      www       788:    unless (defined($realval)) {
1.36    ! www       789: # the real value is not defined
1.26      www       790:       if ($relationship eq 'eq') {
                    791:          if ($value eq 'undef') {
                    792:             return 1;
                    793:          } else {
                    794:             return 0;
                    795:          }
                    796:       } elsif ($relationship eq 'ne') {
                    797:          if ($value eq 'undef') {
                    798:             return 0;
                    799:          } else {
                    800:             return 1;
                    801:          }
                    802:       } else {
                    803:          return 0;
                    804:       }
                    805:    }
                    806: 
1.36    ! www       807: # is the expected value undefined?
        !           808:    if ($value eq 'undef') {
        !           809: # but by now we know that the real value is defined
        !           810:       return 0;
        !           811:    }
        !           812: 
        !           813: # both are defined.
1.26      www       814:    if ($relationship eq 'gt') {
                    815:       return ($realval>$value);
                    816:    } elsif ($relationship eq 'ge') {
                    817:       return ($realval>$value-$tol);
                    818:    } elsif ($relationship eq 'lt') {
                    819:       return ($realval<$value);
                    820:    } elsif ($relationship eq 'le') {
                    821:       return ($realval<$value+$tol);
                    822:    } elsif ($relationship eq 'ne') {
                    823:       return (abs($value-$realval)>$tol);
                    824:    } else {
                    825:       return (abs($value-$realval)<$tol);
                    826:    }
1.25      www       827:    return 0;
                    828: }
                    829: 
1.35      www       830: sub addlog {
                    831:    my ($text)=@_;
                    832:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
                    833: }
                    834: 
                    835: sub actualval {
                    836:    my ($i,$xmin,$xmax)=@_;
                    837:    return $xmin+$i/400.*($xmax-$xmin);
                    838: }
                    839:  
1.25      www       840: sub functionplotrulecheck {
1.33      www       841:    my ($rule,$xmin,$xmax,$ymin,$ymax)=@_;
                    842: 
1.35      www       843:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
1.25      www       844:       =split(/\:/,$rule);
1.33      www       845:    $percent=($percent>0?$percent:5);
1.35      www       846:    &addlog("=================");
                    847:    &addlog("Rule $label for ".('function itself','first derivative','second derivative')[$derivative]." $relationship $value");
1.30      www       848:    my $li=0;
                    849:    my $lh=400;
                    850: 
1.31      www       851: # Special case: the upper boundary was not defined
                    852: # and needs to be set to the value where
                    853: # the condition is not true anymore => set flag
                    854: 
                    855:    my $findupper=0;
                    856:    if (($xfinal eq '')
                    857:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
                    858:     && ($xfinallabel)) {
                    859:        $findupper=1;
                    860:    }
                    861: 
1.25      www       862: # if a hard value is set for the boundaries, it overrides the label
1.30      www       863:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
                    864:       $li=&array_index($xmin,$xmax,$xinitial);
                    865:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
                    866:    }
                    867:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
                    868:       $lh=&array_index($xmin,$xmax,$xfinal);
                    869:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
1.25      www       870:    }
1.31      www       871: # if the label is defined, use it
1.25      www       872:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
1.35      www       873:       &addlog("Using lower label $xinitiallabel");
1.30      www       874:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
                    875:    } else {
                    876:       $li=&array_index($xmin,$xmax,$xinitial);
1.25      www       877:    }
1.31      www       878:    unless ($findupper) {
                    879:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
1.35      www       880:          &addlog("Using upper label $xfinallabel");
1.33      www       881:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
1.31      www       882:       } else {
                    883:          $lh=&array_index($xmin,$xmax,$xfinal);
                    884:       }
1.25      www       885:    }
                    886: # Basic sanity checks
1.30      www       887:    if ($li<0) { $li=0; }
                    888:    if ($lh>400) { $lh=400; }
                    889:    if ($li>$lh) {
                    890:        $lh=$li;
1.25      www       891:    }
1.31      www       892: 
1.35      www       893:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
                    894:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
                    895:    if ($findupper) {
                    896:       &addlog("Looking for label $xfinallabel");
                    897:    }
1.33      www       898:    my $tol=$percent*($ymax-$ymin)/100;
                    899:    if ($xmax>$xmin) {
                    900:       if ($derivative==2) {
                    901:          $tol=4.*$tol/($xmax-$xmin);
                    902:       } elsif ($derivative==1) {
                    903:          $tol=2.*$tol/($xmax-$xmin);
                    904:       }
1.27      www       905:    }
                    906:    for (my $i=$li; $i<=$lh; $i++) {
1.25      www       907:         my $val;
                    908:         if ($derivative==2) {
1.27      www       909:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
1.25      www       910:         } elsif ($derivative==1) {
1.27      www       911:            $val=$Apache::functionplotresponse::dfuncdx[$i];
1.25      www       912:         } else {
1.27      www       913:            $val=$Apache::functionplotresponse::func[$i];
1.25      www       914:         }
1.36    ! www       915:         &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1.31      www       916:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
1.35      www       917:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1.31      www       918:            if (($findupper) && ($i>$li)) {
1.35      www       919: # check for minimum and maximum lengths
                    920:               my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
                    921:               if ($minimumlength) {
                    922:                  if ($length<$minimumlength) {
                    923:                     &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
                    924:                     return 0;
                    925:                  }
                    926:               }
                    927:               if ($maximumlength) {
                    928:                  if ($length>$maximumlength) {
                    929:                     &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
                    930:                     return 0;
                    931:                  }
                    932:               }
1.31      www       933:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1.35      www       934:               &addlog("Rule $label passed, setting label $xfinallabel");
1.31      www       935:               return 1;
                    936:            } else {
1.35      www       937:               &addlog("Rule $label failed.");
1.31      www       938:               return 0; 
                    939:            }
                    940:         }
1.25      www       941:    }
1.35      www       942:    &addlog("Rule $label passed.");
1.27      www       943:    return 1;
1.24      www       944: }
                    945: 
1.1       www       946: sub end_functionplotresponse {
                    947:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    948:   &Apache::response::end_response;
1.3       www       949: 
1.1       www       950:   my $result;
1.10      www       951:   my $id=$Apache::inputtags::response[-1];
                    952:   my $partid=$Apache::inputtags::part;
                    953:   my $internalid = $partid.'_'.$id;
1.3       www       954: 
1.36    ! www       955: 
1.12      www       956:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
1.10      www       957:     if ($target eq 'grade'
                    958:          && &Apache::response::submitted()
                    959:          && $Apache::lonhomework::type eq 'exam') {
                    960: 
1.27      www       961:         &Apache::response::scored_response($partid,$id);
1.10      www       962: 
                    963:     } elsif ($target eq 'grade'
                    964:          && &Apache::response::submitted()
                    965:          && $Apache::lonhomework::type ne 'exam') {
                    966:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
                    967:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
1.12      www       968:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
                    969: #
                    970: # Actually grade
                    971: #
1.18      www       972:         my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
                    973:         $xmin=(defined($xmin)?$xmin:-10);
                    974:         my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
                    975:         $xmax=(defined($xmax)?$xmax:10);
1.25      www       976:         my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
                    977:         $ymin=(defined($ymin)?$ymin:-10);
                    978:         my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
                    979:         $ymax=(defined($ymax)?$ymax:10);
1.27      www       980: 
1.24      www       981:         my $ad='';
1.30      www       982:         undef  %Apache::functionplotresponse::functionplotrulelabels;
1.35      www       983:         $Apache::functionplotresponse::ruleslog='';
1.30      www       984:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
                    985:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
1.18      www       986:         if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
1.21      www       987:            $ad='NOT_FUNCTION';
1.18      www       988:         } else {
1.35      www       989:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
                    990:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
                    991:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
                    992:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
                    993: 
1.24      www       994: # We have a function that we can actually grade, go through the spline rules.
1.25      www       995:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
1.33      www       996:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) {
1.24      www       997:                  $ad='INCORRECT';
                    998:                  last;
                    999:               }
                   1000:            }
                   1001: # If it's not wrong, it's correct 
                   1002:            unless ($ad) { $ad='EXACT_ANS' };
1.18      www      1003:         }
1.20      www      1004: 
1.12      www      1005: #
                   1006: # Store grading info
                   1007: #
                   1008:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
                   1009:         &Apache::response::handle_previous(\%previous,$ad);
1.10      www      1010:    } elsif ($target eq 'web') {
1.6       www      1011: # Now is the time to render all of the stored splines
                   1012:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
                   1013:         $result.=&generate_spline($internalid,$label);
                   1014:      }
1.5       www      1015: # close the init script
1.3       www      1016:      $result.=&end_init_script();
1.17      www      1017: # register all splines in this response 
                   1018:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
                   1019:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
                   1020:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
                   1021:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
                   1022:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
                   1023:      }
1.9       www      1024: # generate the input fields
                   1025:      $result.=$Apache::functionplotresponse::inputfields;
1.5       www      1026: # actually start the <applet>-tag
1.3       www      1027:      $result.=&geogebra_startcode($internalid);
1.5       www      1028: # load the spline bytecode
1.3       www      1029:      $result.=&geogebra_spline_program();
1.5       www      1030: # set default parameters
1.3       www      1031:      $result.=&geogebra_default_parameters($internalid);
1.5       www      1032: # close the <applet>-tag
1.1       www      1033:      $result.=&geogebra_endcode();
                   1034:   }
                   1035:   return $result;
                   1036: }
                   1037: 
                   1038: 1;
                   1039: 
                   1040: __END__
                   1041:  
                   1042: =head1 NAME
                   1043: 
                   1044: Apache::functionplotresponse.pm;
                   1045: 
                   1046: =head1 SYNOPSIS
                   1047: 
                   1048: Handles tags associated with accepting function plots.
                   1049: 
                   1050: This is part of the LearningOnline Network with CAPA project
                   1051: described at http://www.lon-capa.org.
                   1052: 
                   1053: =head1 HANDLER SUBROUTINE
                   1054: 
                   1055: start_functionplotresponse()
                   1056: 
                   1057: =head1 OTHER SUBROUTINES
                   1058: 
                   1059: =over
                   1060: 
                   1061: =item end_functionplotresponse()
                   1062: 
                   1063: =back
                   1064: 
                   1065: =cut

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