Annotation of loncom/homework/functionplotresponse.pm, revision 1.15

1.1       www         1: # LearningOnline Network with CAPA
                      2: # option list style responses
                      3: #
1.15    ! www         4: # $Id: functionplotresponse.pm,v 1.14 2010/10/17 22:32:19 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 {
1.12      www        36:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','splinerule'));
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_$id" />
1.2       www        93: ENDDEFAULTPARAMETERS
1.1       www        94: }
                     95: 
1.5       www        96: #
                     97: # This subroutine is called by LON-CAPA at </problem>
                     98: # Each applet on the page will call function ggbOnInit when it is done loading
                     99: # This function in turn will call the respective function registered by start_init_script
                    100: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
                    101: #
                    102: 
1.3       www       103: sub init_script {
                    104:    if ($Apache::functionplotresponse::callscripts) {
                    105:       return (<<ENDGGBINIT);
                    106: <script type="text/javascript">
                    107: // <![CDATA[
                    108: function ggbOnInit(param) {
                    109: $Apache::functionplotresponse::callscripts
                    110: }
                    111: // ]]>
                    112: </script>
                    113: ENDGGBINIT
                    114:    }
                    115: }
                    116: 
1.5       www       117: #
                    118: # Each Geogebra applet is supposed to call this when parameters change
1.10      www       119: # Changes the hidden fields on the web page
1.5       www       120: #
                    121: sub update_script {
                    122:     my ($id)=@_;
                    123:     return (<<ENDUPDATESCRIPT);
                    124: <script type="text/javascript">
                    125: // <![CDATA[
                    126: function updatePointCoordinates_$id(coordinateName) {
                    127:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
                    128:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
1.9       www       129:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
                    130:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
1.5       www       131:         }
                    132: // ]]>
                    133: </script>
                    134: ENDUPDATESCRIPT
                    135: }
                    136: 
                    137: #
                    138: # Register the above update-handler for a variable
                    139: #
                    140: 
                    141: sub update_register {
                    142:    my ($id,$variable)=@_;
1.6       www       143:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
                    144: }
                    145: 
                    146: #
                    147: # Set a coordinate variable
                    148: #
                    149: sub set_coordinate {
                    150:    my ($id,$variable,$x,$y)=@_;
                    151:    return (<<ENDSETVARIABLE);
1.9       www       152: document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
1.6       www       153: ENDSETVARIABLE
                    154: }
                    155: 
                    156: #
1.9       www       157: # Input field name for a coordinate variable
                    158: #
                    159: 
                    160: sub field_name {
                    161:     my ($id,$variable,$name)=@_;
                    162:     return "HWVAL_$id\_$variable\_$name";
                    163: }
                    164: 
                    165: #
                    166: # Generate an input field for a coordinate variable
                    167: #
                    168: 
                    169: sub generate_input_field {
                    170:     my ($id,$variable,$x,$y)=@_;
                    171:     $Apache::functionplotresponse::inputfields.=
                    172:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
                    173:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
                    174: }
                    175: 
                    176: #
1.6       www       177: # Initialize a new coordinate variable at set a listener on it
                    178: #
                    179: sub new_coordinate {
                    180:     my ($id,$variable,$x,$y)=@_;
1.11      www       181:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
1.10      www       182:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
                    183:     }
1.11      www       184:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
1.10      www       185:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
                    186:     }
1.9       www       187:     &generate_input_field($id,$variable,$x,$y);
1.6       www       188:     return &set_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
1.5       www       189: }
                    190: 
                    191: #
                    192: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
                    193: # It then starts the right headers
                    194: #
1.3       www       195: sub start_init_script {
                    196:     my ($id)=@_;
1.5       www       197: # Add a line to ggbOnInit-function which calls the right function based on parameter passed from GeoGebra
1.3       www       198:     $Apache::functionplotresponse::callscripts.="if (param=='applet_$id') { ggbInit_$id(); }\n";
1.5       www       199: # ... and open this function
1.3       www       200:     return (<<ENDSTARTINIT);
                    201: <script type="text/javascript">
                    202: // <![CDATA[
1.5       www       203: // variable that will eventually be passed back to the server
                    204: var coordinateMap_$id = [];
                    205: // Init-function for applet
1.3       www       206: function ggbInit_$id() {
                    207: ENDSTARTINIT
                    208: }
                    209: 
1.5       www       210: #
                    211: # This sets the axes inside ggbInit_$id
                    212: #
                    213: 
1.4       www       214: sub axes_script {
                    215:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
                    216:     return (<<ENDAXESSCRIPT);
                    217:             // changes (xmin, xmax, ymin, ymax)
                    218:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
                    219: 
                    220:             // makes the (x,y) axis (in)visible
                    221:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
                    222:             // makes the grid (in)visible
                    223:             document.ggbApplet_$id.setGridVisible($gvisible);
                    224: ENDAXESSCRIPT
                    225: }
                    226: 
1.14      www       227: sub axes_label {
                    228:     my ($id,$xlabel,$ylabel)=@_;
                    229:     unless ($xlabel || $ylabel) { return ''; }
                    230:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
                    231:     if ($xlabel) {
                    232:        $return.=(<<ENDXAXISLABELSCRIPT);
                    233: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
                    234: document.ggbApplet_$id.setVisible("Xlabel",false);
                    235: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
                    236: ENDXAXISLABELSCRIPT
                    237:     }
                    238:     if ($ylabel) {
                    239:        $return.=(<<ENDYAXISLABELSCRIPT);
                    240: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
                    241: document.ggbApplet_$id.setVisible("Ylabel",false);
                    242: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
                    243: ENDYAXISLABELSCRIPT
                    244:     }
                    245:     return $return;
                    246: }
                    247: 
1.4       www       248: sub plot_script {
1.6       www       249:    my ($id,$function,$fixed)=@_;
                    250:    if ($fixed) {
                    251: # Use stupid trick to nail this to a location
1.14      www       252: # Oddly, it seems like only one plot cannot be nailed to a location
                    253: # Non-nailed-down plots apparently get overwritten
1.6       www       254:       return (<<ENDPLOTSCRIPT);
                    255:             document.ggbApplet_$id.evalCommand("a=1");
                    256:             document.ggbApplet_$id.setVisible("a",false);
                    257:             // This MUST be a DEPENDENT OBJECT in order to be locked down:
                    258:             document.ggbApplet_$id.evalCommand("y=a*($function)");
1.4       www       259: ENDPLOTSCRIPT
1.6       www       260:    } else {
                    261:        return "document.ggbApplet_$id.evalCommand('y=$function')";
                    262:    }
1.4       www       263: }
                    264: 
1.5       www       265: #
1.7       www       266: # Subroutine that generates code for spline $label based on stored information
1.6       www       267: #
                    268: 
                    269: sub generate_spline {
                    270:    my ($id,$label)=@_;
                    271:    my $result='';
1.7       www       272:    my $order=$Apache::functionplotresponse::splineorder{$label};
                    273:    my $x=$Apache::functionplotresponse::splineinitx{$label};
                    274:    my $y=$Apache::functionplotresponse::splineinity{$label};
                    275:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
                    276:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
                    277:    my @coords=();
                    278:    foreach my $i (1..$order) {
                    279:        $result.=&new_coordinate($id,$label.'P'.$i,$x,$y);
1.8       www       280:        $x+=$sx/(2.*($order-1));
1.7       www       281:        push(@coords,$label.'P'.$i);
                    282:        $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy);
1.8       www       283:        $x+=$sx/(2.*($order-1));
1.7       www       284:        push(@coords,$label.'S'.$i);
                    285:    }
                    286:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
1.6       www       287:    return $result;
                    288: }
                    289: #
                    290: # <backgroundplot function="..." fixed="yes/no" />
1.5       www       291: #
1.4       www       292: sub start_backgroundplot {
                    293:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    294:    my $result='';
                    295:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
                    296:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
1.6       www       297:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
                    298:  
1.4       www       299:    unless ($function) { $function="0"; }
                    300:    if ($target eq 'web') {
1.6       www       301:       $result.=&plot_script($internalid,$function,$fixed);
1.13      www       302:    } elsif ($target eq 'edit') {
                    303:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
                    304:              &Apache::edit::text_arg('Function:','function',
                    305:                                      $token,'16').
                    306:              &Apache::edit::select_arg('Fixed location:','fixed',
                    307:                                   ['yes','no'],$token).
                    308:              &Apache::edit::end_row();
                    309:   } elsif ($target eq 'modified') {
                    310:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                    311:                                                  $safeeval,'function','fixed');
                    312:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    313:   }
                    314:   return $result;
1.4       www       315: }
                    316: 
                    317: sub end_backgroundplot {
1.13      www       318:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    319:    my $result='';
                    320:    if ($target eq 'edit') {
                    321:        $result=&Apache::edit::end_table();
                    322:    }
                    323:    return $result;
1.6       www       324: }
                    325: 
                    326: #
1.12      www       327: # <splinerule ... />
                    328: #
                    329: sub start_splinerule {
                    330:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    331:    my $result='';
                    332:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
1.13      www       333:    if ($target eq 'edit') {
                    334:         $result=&Apache::edit::tag_start($target,$token,'Spline Evaluation Rule').
                    335:                 &Apache::edit::end_row();
                    336:    }
1.12      www       337:    return $result;
                    338: }
                    339: 
                    340: sub end_splinerule {
1.13      www       341:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    342:    my $result='';
                    343:    if ($target eq 'edit') {
                    344:        $result=&Apache::edit::end_table();
                    345:    }
                    346:    return $result;
1.12      www       347: }
                    348: 
                    349: 
                    350: #
1.6       www       351: # <spline label="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
                    352: #
                    353: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
                    354: #
                    355: sub start_spline {
                    356:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1.13      www       357:    my $result='';
                    358:    if ($target eq 'web') {
                    359:       my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
                    360:       $Apache::functionplotresponse::counter++;
                    361:       if ($label=~/\W/) {
                    362:          &Apache::lonxml::warning(&mt('Spline labels should only contain alphanumeric characters.'));
                    363:       }
                    364:       $label=~s/\W//gs;
                    365:       unless ($label) { $label='S'.$Apache::functionplotresponse::counter; }
                    366:       if ($Apache::functionplotresponse::splineorder{$label}) {
                    367:          &Apache::lonxml::error(&mt('Spline labels must be unique.'));
                    368:       }
                    369: 
                    370:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
                    371:       if ($order<2) { $order=2; }
                    372:       if ($order>8) { $order=8; }
                    373:       $Apache::functionplotresponse::splineorder{$label}=$order;
                    374: 
                    375:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
                    376:       unless ($x) { $x=0; }
                    377:       $Apache::functionplotresponse::splineinitx{$label}=$x;
                    378: 
                    379:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
                    380:       unless ($y) { $y=0; }
                    381:       $Apache::functionplotresponse::splineinity{$label}=$y;
                    382: 
                    383:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
                    384:       unless ($sx) { $sx=$order; }
                    385:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
                    386: 
                    387:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
                    388:       unless ($sy) { $sy=2; }
                    389:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
                    390:    } elsif ($target eq 'edit') {
                    391:         $result=&Apache::edit::tag_start($target,$token,'Spline').
                    392:              &Apache::edit::text_arg('Label:','label',
1.14      www       393:                                      $token,'4').'&nbsp;'.
1.13      www       394:              &Apache::edit::select_arg('Order:','order',
1.14      www       395:                                   ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
1.13      www       396:              &Apache::edit::text_arg('Initial x-value:','initx',
1.14      www       397:                                      $token,'4').'&nbsp;'.
1.13      www       398:              &Apache::edit::text_arg('Initial y-value:','inity',
1.14      www       399:                                      $token,'4').'&nbsp;'.
1.13      www       400:              &Apache::edit::text_arg('Scale x:','scalex',
1.14      www       401:                                      $token,'4').'&nbsp;'.
1.13      www       402:              &Apache::edit::text_arg('Scale y:','scaley',
                    403:                                      $token,'4').
                    404:              &Apache::edit::end_row();
                    405:   } elsif ($target eq 'modified') {
                    406:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                    407:                                                  $safeeval,'label','order','initx','inity',
                    408:                                                            'scalex','scaley');
                    409:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    410:   }
                    411:   return $result;
1.6       www       412: }
                    413: 
                    414: sub end_spline {
1.13      www       415:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    416:    my $result='';
                    417:    if ($target eq 'edit') {
                    418:        $result=&Apache::edit::end_table();
                    419:    }
                    420:    return $result;
1.4       www       421: }
                    422:  
1.3       www       423: sub end_init_script {
                    424:     return (<<ENDENDINIT);
                    425: }
                    426: // ]]>
                    427: </script>
                    428: ENDENDINIT
                    429: }
                    430: 
1.10      www       431: #
                    432: # Storing and restoring spline coordinates from part answers
                    433: #
                    434: sub decode_previous_answer {
                    435:    my ($answer)=@_;
                    436:    foreach my $coordinate (split(/\,/,$answer)) {
                    437:       my ($key,$value)=split(/\=/,$coordinate);
                    438:       $Apache::functionplotresponse::previous{$key}=$value;
                    439:    }
                    440: }
                    441: 
                    442: sub get_answer_from_form_fields {
                    443:    my ($id)=@_;
                    444:    my $answer='';
                    445:    my %coords=();
                    446:    foreach my $field (keys(%env)) {
                    447:       if ($field=~/^form\.HWVAL\_$id/) {
                    448:          $field=~/^form\.(.*)$/;
                    449:          $coords{$1}=$env{$field};
                    450:       }
                    451:    }
                    452:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
                    453:    return ($answer,%coords);
                    454: }
                    455: 
1.15    ! www       456: #
        !           457: # The following functions calculate the cubic-hermite splines server-side
        !           458: #
        !           459: 
        !           460: sub cubic_hermite {
        !           461:    my ($t,$p1,$s1,$p2,$s2)=@_;
        !           462:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
        !           463:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 5.*($t*$t*$t-$t*$t)      *($s2-$p2);
        !           464: }
        !           465: 
        !           466: #
        !           467: # d/dt(...)
        !           468: # 
        !           469: 
        !           470: sub ddt_cubic_hermite {
        !           471:    my ($t,$p1,$s1,$p2,$s2)=@_;
        !           472:    return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
        !           473:           (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t)   *($s2-$p2);
        !           474: }
        !           475: 
        !           476: #
        !           477: # d^2/dt^2(...)
        !           478: #
        !           479: 
        !           480: sub d2dt2_cubic_hermite {
        !           481:    my ($t,$p1,$s1,$p2,$s2)=@_;
        !           482:    return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
        !           483:           (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
        !           484: }
        !           485: 
        !           486: #
        !           487: # Implentation of <functionplotresponse>
        !           488: #
        !           489: 
1.1       www       490: sub start_functionplotresponse {
                    491:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    492:   my $result='';
1.6       www       493: # To remember the splines - somehow, they need to come last
                    494:   undef %Apache::functionplotresponse::splineorder;
                    495:   undef %Apache::functionplotresponse::splineinitx;
                    496:   undef %Apache::functionplotresponse::splineinity;
                    497:   undef %Apache::functionplotresponse::splinescalex;
                    498:   undef %Apache::functionplotresponse::splinescaley;
1.10      www       499: # Remember input fields, etc
                    500:   undef %Apache::functionplotresponse::previous;
1.9       www       501:   $Apache::functionplotresponse::inputfields='';
1.6       www       502:   $Apache::functionplotresponse::counter=0;
1.10      www       503: # Part and ID
                    504:   my $partid=$Apache::inputtags::part;
                    505:   my $id=&Apache::response::start_response($parstack,$safeeval);
1.6       www       506: # Internal ID to mark the applet and its coordinates
1.10      www       507:   my $internalid = $partid.'_'.$id;
                    508: # Previous answer
                    509:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
                    510: 
1.6       www       511: # Parameters of <functionplotresponse>
1.3       www       512:   my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
1.4       www       513:   $xmin=($xmin?$xmin:-10);
1.3       www       514:   my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
1.4       www       515:   $xmax=($xmax?$xmax:10);
1.3       www       516:   my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
1.4       www       517:   $ymin=($ymin?$ymin:-10);
1.3       www       518:   my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
1.4       www       519:   $ymax=($ymax?$ymax:10);
1.6       www       520:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    521:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    522:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1.14      www       523:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
                    524:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1.12      www       525:   if ($target eq 'edit') {
                    526:     $result.=&Apache::edit::start_table($token)
                    527:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
                    528:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
                    529:        .&Apache::edit::deletelist($target,$token)
                    530:        .'</span></td>'
                    531:        ."<td>&nbsp;"
                    532:        .&Apache::edit::end_row()
                    533:        .&Apache::edit::start_spanning_row()
                    534:        ."\n";
1.14      www       535:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
                    536:                                      $token,'6').'&nbsp;'.
                    537:              &Apache::edit::text_arg('Minimum x-value:','xmin',
                    538:                                      $token,'4').'&nbsp;'.
1.12      www       539:              &Apache::edit::text_arg('Maximum x-value:','xmax',
1.14      www       540:                                      $token,'4').'&nbsp;'.
1.12      www       541:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1.14      www       542:                                   ['yes','no'],$token).'&nbsp;&nbsp;'.
                    543:              &Apache::edit::text_arg('Label y-axis:','ylabel',
                    544:                                      $token,'6').'&nbsp;'.
1.12      www       545:              &Apache::edit::text_arg('Minimum y-value:','ymin',
1.14      www       546:                                      $token,'4').'&nbsp;'.
1.12      www       547:              &Apache::edit::text_arg('Maximum y-value:','ymax',
1.14      www       548:                                      $token,'4').'&nbsp;'.
1.12      www       549:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1.14      www       550:                                   ['yes','no'],$token).'&nbsp;&nbsp;'.
1.12      www       551:              &Apache::edit::select_arg('Grid visible:','gridvisible',
                    552:                                   ['yes','no'],$token).
                    553:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
                    554:   } elsif ($target eq 'modified') {
                    555:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.14      www       556:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
1.12      www       557:                                                            'xaxisvisible','yaxisvisible','gridvisible');
                    558:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1.3       www       559: 
1.12      www       560:   } elsif ($target eq 'meta') {
1.10      www       561:        $result=&Apache::response::meta_package_write('functionplotresponse');
1.12      www       562:   } elsif ($target eq 'web') {
1.5       www       563: # paste in the update routine to receive stuff back from the applet
                    564:      $result.=&update_script($internalid);
                    565: # start the initscript for this applet
1.3       www       566:      $result.=&start_init_script($internalid);
1.5       www       567: # put the axis commands inside
1.4       www       568:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1.14      www       569:      $result.=&axes_label($internalid,$xlabel,$ylabel);
1.5       www       570: # init script is left open
1.1       www       571:   }
                    572:   return $result;
                    573: }
                    574: 
                    575: sub end_functionplotresponse {
                    576:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    577:   &Apache::response::end_response;
1.3       www       578: 
1.1       www       579:   my $result;
1.10      www       580:   my $id=$Apache::inputtags::response[-1];
                    581:   my $partid=$Apache::inputtags::part;
                    582:   my $internalid = $partid.'_'.$id;
1.3       www       583: 
1.12      www       584:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
1.10      www       585:     if ($target eq 'grade'
                    586:          && &Apache::response::submitted()
                    587:          && $Apache::lonhomework::type eq 'exam') {
                    588: 
                    589:         #&Apache::response::scored_response($partid,$id);
                    590: 
                    591:     } elsif ($target eq 'grade'
                    592:          && &Apache::response::submitted()
                    593:          && $Apache::lonhomework::type ne 'exam') {
                    594:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
                    595:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
1.12      www       596:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
                    597: #
                    598: # Actually grade
                    599: #
                    600:         my $ad='INCORRECT';
                    601: #
                    602: # Store grading info
                    603: #
                    604:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
                    605:         &Apache::response::handle_previous(\%previous,$ad);
1.10      www       606:    } elsif ($target eq 'web') {
1.6       www       607: # Now is the time to render all of the stored splines
                    608:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
                    609:         $result.=&generate_spline($internalid,$label);
                    610:      }
1.5       www       611: # close the init script
1.3       www       612:      $result.=&end_init_script();
1.9       www       613: # generate the input fields
                    614:      $result.=$Apache::functionplotresponse::inputfields;
1.5       www       615: # actually start the <applet>-tag
1.3       www       616:      $result.=&geogebra_startcode($internalid);
1.5       www       617: # load the spline bytecode
1.3       www       618:      $result.=&geogebra_spline_program();
1.5       www       619: # set default parameters
1.3       www       620:      $result.=&geogebra_default_parameters($internalid);
1.5       www       621: # close the <applet>-tag
1.1       www       622:      $result.=&geogebra_endcode();
                    623:   }
                    624:   return $result;
                    625: }
                    626: 
                    627: 1;
                    628: 
                    629: __END__
                    630:  
                    631: =head1 NAME
                    632: 
                    633: Apache::functionplotresponse.pm;
                    634: 
                    635: =head1 SYNOPSIS
                    636: 
                    637: Handles tags associated with accepting function plots.
                    638: 
                    639: This is part of the LearningOnline Network with CAPA project
                    640: described at http://www.lon-capa.org.
                    641: 
                    642: =head1 HANDLER SUBROUTINE
                    643: 
                    644: start_functionplotresponse()
                    645: 
                    646: =head1 OTHER SUBROUTINES
                    647: 
                    648: =over
                    649: 
                    650: =item end_functionplotresponse()
                    651: 
                    652: =back
                    653: 
                    654: =cut

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