Annotation of loncom/homework/functionplotresponse.pm, revision 1.46

1.1       www         1: # LearningOnline Network with CAPA
                      2: # option list style responses
                      3: #
1.46    ! www         4: # $Id: functionplotresponse.pm,v 1.45 2010/11/23 23:14:20 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 {
1.37      www        36:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
                     37:                                                             'functionplotrule','functionplotruleset',
                     38:                                                             'functionplotelements'));
1.1       www        39: }
                     40: 
1.5       www        41: #
                     42: # There can be a number of applets on a page, each called ggbApplet_$id, 
                     43: # where $id is the "_"-concatenated part and responseid
                     44: #
                     45: 
1.1       www        46: sub geogebra_startcode {
1.3       www        47:     my ($id)=@_;
1.1       www        48:     return (<<ENDSTARTCODE);
1.3       www        49: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
1.40      www        50:          codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
1.1       www        51:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
                     52: ENDSTARTCODE
                     53: }
                     54: 
                     55: sub geogebra_endcode {
1.2       www        56:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
                     57: }
                     58: 
1.5       www        59: #
                     60: # This is the internal GeoGebra bytecode which defines the spline functions
                     61: #
1.2       www        62: sub geogebra_spline_program {
                     63:     return (<<ENDSPLINEPROGRAM);
1.42      www        64: <param name="ggbBase64" value="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" />
1.2       www        65: ENDSPLINEPROGRAM
                     66: }
                     67: 
1.5       www        68: #
                     69: # The standard set of parameters inside <applet>
                     70: #
1.2       www        71: sub geogebra_default_parameters {
1.3       www        72:    my ($id)=@_;
1.2       www        73:    return(<<ENDDEFAULTPARAMETERS);
                     74:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
                     75:         <param name="boxborder" value="false"  />
                     76:         <param name="centerimage" value="true"  />
1.39      www        77: 	<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" />
                     78: 	<param name="cache_version" value="3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0" />
1.2       www        79:         <param name="framePossible" value="false" />
                     80: 
                     81:         <param name="showResetIcon" value="false" />
                     82:         <param name="showAnimationButton" value="false" />
                     83:         <param name="enableRightClick" value="false" />
                     84:         <param name="errorDialogsActive" value="true" />
                     85:         <param name="enableLabelDrags" value="false" />
                     86:         <param name="showMenuBar" value="false" />
                     87:         <param name="showToolBar" value="false" />
                     88:         <param name="showToolBarHelp" value="false" />
                     89:         <param name="showAlgebraInput" value="false" />
                     90:         <param name="enableShiftDragZoom" value="false" />
                     91:         <param name="allowRescaling" value="false" />
                     92:         <param name="enableLabelDrags" value="false" />
1.3       www        93:         <param name="ggbOnInitParam" value="applet_$id" />
1.2       www        94: ENDDEFAULTPARAMETERS
1.1       www        95: }
                     96: 
1.5       www        97: #
                     98: # This subroutine is called by LON-CAPA at </problem>
                     99: # Each applet on the page will call function ggbOnInit when it is done loading
                    100: # This function in turn will call the respective function registered by start_init_script
                    101: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
                    102: #
                    103: 
1.3       www       104: sub init_script {
1.16      www       105:    if ($#Apache::functionplotresponse::callscripts>=0) {
                    106:       my $script='';
                    107:       foreach my $id (@Apache::functionplotresponse::callscripts) {
                    108:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
                    109:       }
                    110:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
1.17      www       111:                ") { setTimeout('ggbInitAll()',20) }";
1.16      www       112:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
1.3       www       113:       return (<<ENDGGBINIT);
                    114: <script type="text/javascript">
                    115: // <![CDATA[
1.16      www       116: // Function that each applet will call when loaded
                    117: // It will pass "its" parameter
                    118: // Set flags for when an applet is loaded, wait till all are loaded, and then some
1.3       www       119: function ggbOnInit(param) {
1.16      www       120: $script
                    121: }
                    122: function ggbInitAll() {
1.17      www       123: $calls
1.3       www       124: }
                    125: // ]]>
                    126: </script>
                    127: ENDGGBINIT
                    128:    }
                    129: }
                    130: 
1.5       www       131: #
                    132: # Each Geogebra applet is supposed to call this when parameters change
1.10      www       133: # Changes the hidden fields on the web page
1.5       www       134: #
                    135: sub update_script {
                    136:     my ($id)=@_;
                    137:     return (<<ENDUPDATESCRIPT);
                    138: <script type="text/javascript">
                    139: // <![CDATA[
                    140: function updatePointCoordinates_$id(coordinateName) {
                    141:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
                    142:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
1.9       www       143:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
                    144:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
1.5       www       145:         }
                    146: // ]]>
                    147: </script>
                    148: ENDUPDATESCRIPT
                    149: }
                    150: 
                    151: #
                    152: # Register the above update-handler for a variable
                    153: #
                    154: 
                    155: sub update_register {
                    156:    my ($id,$variable)=@_;
1.6       www       157:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
                    158: }
                    159: 
                    160: #
1.40      www       161: # Set a point coordinate variable
1.6       www       162: #
1.40      www       163: sub set_point_coordinate {
1.6       www       164:    my ($id,$variable,$x,$y)=@_;
                    165:    return (<<ENDSETVARIABLE);
1.9       www       166: document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
1.40      www       167: document.ggbApplet_$id.setLabelVisible("$variable",false);
1.6       www       168: ENDSETVARIABLE
                    169: }
                    170: 
                    171: #
1.40      www       172: # Set a slope coordinate variable
                    173: #
                    174: sub set_slope_coordinate {
                    175:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname)=@_;
                    176:    my $xvariable=$variable.'x';
                    177:    my $yvariable=$variable.'y';
                    178:    my $domain=$xmax-$xmin;
                    179:    my $range=$ymax-$ymin;
                    180:    my $xinterval=$domain/100.;
                    181:    my $yinterval=$range/200.;
                    182:    return (<<ENDSETSVARIABLE);
                    183: document.ggbApplet_$id.evalCommand("$xvariable=Slider[0,$domain,$xinterval]");
                    184: document.ggbApplet_$id.setVisible("$xvariable", false);
                    185: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
                    186: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
                    187: document.ggbApplet_$id.setVisible("$yvariable", false);
                    188: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
                    189: document.ggbApplet_$id.evalCommand("$variable=($xvariable+x($pointname),$yvariable+y($pointname))");
                    190: document.ggbApplet_$id.setLabelVisible("$variable", false);
                    191: ENDSETSVARIABLE
                    192: }
                    193: 
                    194: #
1.9       www       195: # Input field name for a coordinate variable
                    196: #
                    197: 
                    198: sub field_name {
                    199:     my ($id,$variable,$name)=@_;
                    200:     return "HWVAL_$id\_$variable\_$name";
                    201: }
                    202: 
                    203: #
                    204: # Generate an input field for a coordinate variable
                    205: #
                    206: 
                    207: sub generate_input_field {
                    208:     my ($id,$variable,$x,$y)=@_;
                    209:     $Apache::functionplotresponse::inputfields.=
                    210:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
                    211:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
                    212: }
                    213: 
                    214: #
1.40      www       215: # Initialize a new point coordinate variable at set a listener on it
1.6       www       216: #
1.40      www       217: sub new_point_coordinate {
1.6       www       218:     my ($id,$variable,$x,$y)=@_;
1.11      www       219:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
1.10      www       220:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
                    221:     }
1.11      www       222:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
1.10      www       223:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
                    224:     }
1.9       www       225:     &generate_input_field($id,$variable,$x,$y);
1.40      www       226:     return &set_point_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
                    227: }
                    228: 
                    229: #
                    230: # Initialize a new slope coordinate variable at set a listener on it
                    231: #
                    232: sub new_slope_coordinate {
                    233:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax)=@_;
                    234: #
                    235: # $variable: name of the slope point
                    236: # $x, $y: coordinates of the slope point
                    237: # $pointname: name of the associated point point
                    238: # $xp $yp: coordinates of the point point
                    239: #
                    240:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
                    241:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
                    242:     }
                    243:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
                    244:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
                    245:     }
                    246:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
                    247:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
                    248:     }
                    249:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
                    250:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
                    251:     }
                    252: 
                    253:     &generate_input_field($id,$variable,$x,$y);
                    254:     my $xrel=$x-$xp;
                    255:     my $yrel=$y-$yp;
                    256:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname).&update_register($id,$variable);
1.5       www       257: }
                    258: 
                    259: #
                    260: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
                    261: # It then starts the right headers
                    262: #
1.3       www       263: sub start_init_script {
                    264:     my ($id)=@_;
1.16      www       265: # Add id to the list of ggbInit_$id functions that need to be called
                    266:     push(@Apache::functionplotresponse::callscripts,$id);
1.5       www       267: # ... and open this function
1.3       www       268:     return (<<ENDSTARTINIT);
                    269: <script type="text/javascript">
                    270: // <![CDATA[
1.5       www       271: // variable that will eventually be passed back to the server
                    272: var coordinateMap_$id = [];
1.16      www       273: // flag for not loaded yet
                    274: var loaded_$id=false;
1.5       www       275: // Init-function for applet
1.3       www       276: function ggbInit_$id() {
                    277: ENDSTARTINIT
                    278: }
                    279: 
1.5       www       280: #
                    281: # This sets the axes inside ggbInit_$id
                    282: #
                    283: 
1.4       www       284: sub axes_script {
                    285:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
                    286:     return (<<ENDAXESSCRIPT);
                    287:             // changes (xmin, xmax, ymin, ymax)
                    288:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
                    289: 
                    290:             // makes the (x,y) axis (in)visible
                    291:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
                    292:             // makes the grid (in)visible
                    293:             document.ggbApplet_$id.setGridVisible($gvisible);
                    294: ENDAXESSCRIPT
                    295: }
                    296: 
1.14      www       297: sub axes_label {
1.45      www       298:     my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
1.14      www       299:     unless ($xlabel || $ylabel) { return ''; }
                    300:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
                    301:     if ($xlabel) {
1.45      www       302:       if (($ymin<0) && ($ymax>0)) {
1.14      www       303:        $return.=(<<ENDXAXISLABELSCRIPT);
                    304: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
                    305: document.ggbApplet_$id.setVisible("Xlabel",false);
                    306: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
                    307: ENDXAXISLABELSCRIPT
1.45      www       308:       } else {
                    309:        $return.=(<<ENDXOFFAXISLABEL);
                    310: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
                    311: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
                    312: ENDXOFFAXISLABEL
                    313:       }
1.14      www       314:     }
                    315:     if ($ylabel) {
1.45      www       316:       if (($xmin<0) && ($xmax>0)) {
1.14      www       317:        $return.=(<<ENDYAXISLABELSCRIPT);
                    318: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
                    319: document.ggbApplet_$id.setVisible("Ylabel",false);
                    320: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
                    321: ENDYAXISLABELSCRIPT
1.45      www       322:       } else {
                    323:        $return.=(<<ENDYOFFAXISLABEL);
                    324: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
                    325: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
                    326: ENDYOFFAXISLABEL
                    327:       }
1.14      www       328:     }
                    329:     return $return;
                    330: }
                    331: 
1.4       www       332: sub plot_script {
1.46    ! www       333:    my ($id,$function,$fixed,$label,$color,$xmin,$xmax)=@_;
1.41      www       334:    $label=~s/\W//g;
                    335:    if (($label) && ($label!~/^[A-Za-z]/)) {
                    336:       $label='C'.$label;
                    337:    }
                    338:    my $visible=0;
                    339:    if ($label) {
                    340:       $visible="1";
                    341:    } else {
                    342:       $Apache::functionplotresponse::counter++;
                    343:       $label='C'.$Apache::functionplotresponse::counter;
                    344:    }
1.46    ! www       345:    my $rc=0;
        !           346:    my $gc=0;
        !           347:    my $bc=0;
        !           348:    if ($color) {
        !           349:       my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
        !           350:       $rc=hex($rh);
        !           351:       $gc=hex($gh);
        !           352:       $bc=hex($bh);
        !           353:    }
1.6       www       354:    if ($fixed) {
1.43      www       355:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
1.46    ! www       356:              ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
        !           357:              ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'');
1.6       www       358:    } else {
1.46    ! www       359:        return "document.ggbApplet_$id.evalCommand('y=$function');\n";
1.6       www       360:    }
1.4       www       361: }
                    362: 
1.5       www       363: #
1.7       www       364: # Subroutine that generates code for spline $label based on stored information
1.6       www       365: #
                    366: 
                    367: sub generate_spline {
1.40      www       368:    my ($id,$label,$xmin,$xmax,$ymin,$ymax)=@_;
1.6       www       369:    my $result='';
1.7       www       370:    my $order=$Apache::functionplotresponse::splineorder{$label};
                    371:    my $x=$Apache::functionplotresponse::splineinitx{$label};
                    372:    my $y=$Apache::functionplotresponse::splineinity{$label};
                    373:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
                    374:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
                    375:    my @coords=();
                    376:    foreach my $i (1..$order) {
1.40      www       377:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y);
                    378:        my $xp=$x;
1.8       www       379:        $x+=$sx/(2.*($order-1));
1.7       www       380:        push(@coords,$label.'P'.$i);
1.40      www       381:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax);
1.8       www       382:        $x+=$sx/(2.*($order-1));
1.7       www       383:        push(@coords,$label.'S'.$i);
                    384:    }
                    385:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
1.6       www       386:    return $result;
                    387: }
                    388: #
                    389: # <backgroundplot function="..." fixed="yes/no" />
1.5       www       390: #
1.4       www       391: sub start_backgroundplot {
                    392:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    393:    my $result='';
                    394:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
                    395:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
1.41      www       396:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
1.46    ! www       397:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
        !           398:    $color=~s/[^a-fA-F0-9]//gs;
        !           399:    unless (length($color)==6) { $color=''; }
1.6       www       400:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
                    401:  
1.4       www       402:    unless ($function) { $function="0"; }
                    403:    if ($target eq 'web') {
1.41      www       404:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
1.46    ! www       405:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xmin,$xmax);
1.13      www       406:    } elsif ($target eq 'edit') {
                    407:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
                    408:              &Apache::edit::text_arg('Function:','function',
                    409:                                      $token,'16').
1.41      www       410:              &Apache::edit::text_arg('Label on Plot:','label',
                    411:                                      $token,'8').
1.46    ! www       412:              &Apache::edit::text_arg('Color (hex code):','color',
        !           413:                                      $token,'8').
1.13      www       414:              &Apache::edit::select_arg('Fixed location:','fixed',
                    415:                                   ['yes','no'],$token).
                    416:              &Apache::edit::end_row();
                    417:   } elsif ($target eq 'modified') {
                    418:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.46    ! www       419:                                                  $safeeval,'function','label','color','fixed');
1.13      www       420:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    421:   }
                    422:   return $result;
1.4       www       423: }
                    424: 
                    425: sub end_backgroundplot {
1.13      www       426:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    427:    my $result='';
                    428:    if ($target eq 'edit') {
                    429:        $result=&Apache::edit::end_table();
                    430:    }
                    431:    return $result;
1.6       www       432: }
                    433: 
                    434: #
1.25      www       435: # <functionplotrule ... />
1.12      www       436: #
1.25      www       437: sub start_functionplotrule {
1.12      www       438:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    439:    my $result='';
1.24      www       440:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
                    441:    $Apache::functionplotresponse::counter++;
                    442:    if ($label=~/\W/) {
1.25      www       443:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1.24      www       444:    }
                    445:    $label=~s/\W//gs;
                    446:    unless ($label) {
                    447:       $label='R'.$Apache::functionplotresponse::counter;
                    448:    } else {
                    449:       $label='R'.$label;
                    450:    }
                    451:    if ($Apache::functionplotresponse::splineorder{$label}) {
1.25      www       452:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
1.24      www       453:    }
                    454: 
                    455: 
                    456:    if ($target eq 'grade') {
                    457: # Simply remember - in order - for later
1.25      www       458:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
                    459:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
1.24      www       460:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
1.25      www       461:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
1.24      www       462:       }
                    463:       $beginninglabel=~s/\W//gs;
                    464:       $endinglabel=~s/\W//gs;
                    465:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
                    466:       $relationship=~s/\W//gs;
                    467:       $relationship=lc($relationship);
                    468:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
1.25      www       469:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
1.24      www       470:           $relationship='eq';
                    471:       }
1.35      www       472:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
1.42      www       473:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
1.25      www       474:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
1.24      www       475:          $derivative=0;
                    476:       }
1.25      www       477:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
1.24      www       478:            $label,
                    479:            $derivative,
1.25      www       480:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
1.24      www       481:            $beginninglabel,
1.25      www       482:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
1.24      www       483:            $endinglabel,
1.35      www       484:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
                    485:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
1.24      www       486:            $relationship,
1.33      www       487:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
                    488:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
1.24      www       489:           )));
                    490:    } elsif ($target eq 'edit') {
1.29      www       491:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
1.36      www       492:              &Apache::edit::text_arg('Index/Name:','index',
                    493:                                      $token,'10').'&nbsp;'.
1.35      www       494:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
1.29      www       495:                                   [['0','Function itself'],
                    496:                                    ['1','First derivative'],
1.42      www       497:                                    ['2','Second derivative'],
                    498:                                    ['-1','Integral']],$token).'<br />'.
1.44      www       499:              &Apache::edit::text_arg('Initial x-value:','xinitial',
1.35      www       500:                                       $token,'8').
1.44      www       501:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
                    502:                                                [['start','Start of Plot'],
                    503:                                                 ['end','End of Plot']],$token,'8').'<br />'.
1.30      www       504: 
1.44      www       505:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
1.35      www       506:                                       $token,'8').
1.44      www       507:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
1.32      www       508:                                                [['end','End of Plot']],$token,'8').'<br />'.
1.44      www       509:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
1.35      www       510:                                      $token,'8').
1.44      www       511:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
1.35      www       512:                                      $token,'8').'<br />'.
1.38      www       513:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
1.29      www       514:                                   [['eq','equal'],
                    515:                                    ['ne','not equal'],
                    516:                                    ['ge','greater than or equal'],
                    517:                                    ['gt','greater than'],
                    518:                                    ['lt','less than'],
                    519:                                    ['le','less than or equal']],$token).
                    520:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
1.35      www       521:                                                [['undef','not defined']],$token,'8').
1.29      www       522:              &Apache::edit::text_arg('Percent error:','percenterror',
1.35      www       523:                                      $token,'8').
1.29      www       524:              &Apache::edit::end_row();
                    525:   } elsif ($target eq 'modified') {
                    526:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.35      www       527:                                                  $safeeval,'index','derivativeorder',
                    528:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
                    529:                                                            'minimumlength','maximumlength',
                    530:                                                            'relationship','value','percenterror');
1.29      www       531:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1.13      www       532:    }
1.12      www       533:    return $result;
                    534: }
                    535: 
1.25      www       536: sub end_functionplotrule {
1.13      www       537:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    538:    my $result='';
                    539:    if ($target eq 'edit') {
                    540:        $result=&Apache::edit::end_table();
                    541:    }
                    542:    return $result;
1.12      www       543: }
                    544: 
                    545: 
                    546: #
1.23      www       547: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
1.6       www       548: #
                    549: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
                    550: #
                    551: sub start_spline {
                    552:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1.13      www       553:    my $result='';
                    554:    if ($target eq 'web') {
1.23      www       555:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1.13      www       556:       $Apache::functionplotresponse::counter++;
                    557:       if ($label=~/\W/) {
1.23      www       558:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
1.13      www       559:       }
                    560:       $label=~s/\W//gs;
1.23      www       561:       unless ($label) { 
                    562:          $label='S'.$Apache::functionplotresponse::counter; 
                    563:       } else {
                    564:          $label='S'.$label;
                    565:       }
1.13      www       566:       if ($Apache::functionplotresponse::splineorder{$label}) {
1.23      www       567:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
1.13      www       568:       }
                    569: 
                    570:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
                    571:       if ($order<2) { $order=2; }
                    572:       if ($order>8) { $order=8; }
                    573:       $Apache::functionplotresponse::splineorder{$label}=$order;
                    574: 
                    575:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
                    576:       unless ($x) { $x=0; }
                    577:       $Apache::functionplotresponse::splineinitx{$label}=$x;
                    578: 
                    579:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
                    580:       unless ($y) { $y=0; }
                    581:       $Apache::functionplotresponse::splineinity{$label}=$y;
                    582: 
                    583:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
                    584:       unless ($sx) { $sx=$order; }
                    585:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
                    586: 
                    587:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
                    588:       unless ($sy) { $sy=2; }
                    589:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
                    590:    } elsif ($target eq 'edit') {
                    591:         $result=&Apache::edit::tag_start($target,$token,'Spline').
1.23      www       592:              &Apache::edit::text_arg('Index:','index',
1.14      www       593:                                      $token,'4').'&nbsp;'.
1.13      www       594:              &Apache::edit::select_arg('Order:','order',
1.44      www       595:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
1.13      www       596:              &Apache::edit::text_arg('Initial x-value:','initx',
1.14      www       597:                                      $token,'4').'&nbsp;'.
1.13      www       598:              &Apache::edit::text_arg('Initial y-value:','inity',
1.14      www       599:                                      $token,'4').'&nbsp;'.
1.13      www       600:              &Apache::edit::text_arg('Scale x:','scalex',
1.14      www       601:                                      $token,'4').'&nbsp;'.
1.13      www       602:              &Apache::edit::text_arg('Scale y:','scaley',
                    603:                                      $token,'4').
                    604:              &Apache::edit::end_row();
                    605:   } elsif ($target eq 'modified') {
                    606:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.23      www       607:                                                  $safeeval,'index','order','initx','inity',
1.13      www       608:                                                            'scalex','scaley');
                    609:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    610:   }
                    611:   return $result;
1.6       www       612: }
                    613: 
                    614: sub end_spline {
1.13      www       615:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    616:    my $result='';
                    617:    if ($target eq 'edit') {
                    618:        $result=&Apache::edit::end_table();
                    619:    }
                    620:    return $result;
1.4       www       621: }
                    622:  
1.3       www       623: sub end_init_script {
                    624:     return (<<ENDENDINIT);
                    625: }
                    626: // ]]>
                    627: </script>
                    628: ENDENDINIT
                    629: }
                    630: 
1.10      www       631: #
                    632: # Storing and restoring spline coordinates from part answers
                    633: #
                    634: sub decode_previous_answer {
                    635:    my ($answer)=@_;
                    636:    foreach my $coordinate (split(/\,/,$answer)) {
                    637:       my ($key,$value)=split(/\=/,$coordinate);
                    638:       $Apache::functionplotresponse::previous{$key}=$value;
                    639:    }
                    640: }
                    641: 
                    642: sub get_answer_from_form_fields {
                    643:    my ($id)=@_;
                    644:    my $answer='';
                    645:    my %coords=();
                    646:    foreach my $field (keys(%env)) {
                    647:       if ($field=~/^form\.HWVAL\_$id/) {
                    648:          $field=~/^form\.(.*)$/;
                    649:          $coords{$1}=$env{$field};
                    650:       }
                    651:    }
                    652:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
                    653:    return ($answer,%coords);
                    654: }
                    655: 
1.15      www       656: #
                    657: # The following functions calculate the cubic-hermite splines server-side
                    658: #
                    659: 
                    660: sub cubic_hermite {
                    661:    my ($t,$p1,$s1,$p2,$s2)=@_;
1.42      www       662:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
                    663:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
1.15      www       664: }
                    665: 
                    666: #
                    667: # d/dt(...)
                    668: # 
                    669: 
                    670: sub ddt_cubic_hermite {
                    671:    my ($t,$p1,$s1,$p2,$s2)=@_;
1.42      www       672:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
                    673:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
1.15      www       674: }
                    675: 
                    676: #
                    677: # d^2/dt^2(...)
                    678: #
                    679: 
                    680: sub d2dt2_cubic_hermite {
                    681:    my ($t,$p1,$s1,$p2,$s2)=@_;
1.42      www       682:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
                    683:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
1.15      www       684: }
                    685: 
                    686: #
1.18      www       687: # Array index calculation
                    688: #
                    689: sub array_index {
                    690:    my ($xmin,$xmax,$x)=@_;
1.38      www       691:    if ($x ne '') {
                    692:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
                    693:    } else {
                    694:       return undef;
                    695:    }
1.20      www       696: }
                    697: 
                    698: #
1.18      www       699: # Populate the arrays
                    700: #
                    701: 
                    702: sub populate_arrays {
                    703:     my ($id,$xmin,$xmax)=@_;
1.26      www       704:     for (my $i=0; $i<=400; $i++) {
1.35      www       705:        $Apache::functionplotresponse::actualxval[$i]=undef;
1.19      www       706:        $Apache::functionplotresponse::func[$i]=undef;
1.22      www       707:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
1.19      www       708:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1.18      www       709:     }
1.19      www       710:     unless ($xmax>$xmin) { return 'no_func'; }
1.18      www       711: # Run over all splines in response
                    712:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1.19      www       713:         my $xiold=-1;
1.18      www       714: # Run over all points in spline
1.19      www       715:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1.18      www       716:             my $ni=$i+1;
                    717:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
                    718:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
                    719:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
                    720:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
                    721:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
                    722:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
                    723:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
                    724:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
                    725: # Run in small steps over spline parameter
1.26      www       726:             for (my $t=0; $t<=1; $t+=0.0001) {
1.35      www       727:                 my $xreal=&cubic_hermite($t,@xparms);
                    728:                 my $xi=&array_index($xmin,$xmax,$xreal);
1.19      www       729:                 if ($xi<$xiold) { return 'no_func'; }
1.26      www       730:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
1.19      www       731:                    if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
1.18      www       732:                    $xiold=$xi;
1.35      www       733:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
1.22      www       734: # Function value
1.30      www       735:                    my $funcval=&cubic_hermite($t,@yparms);
                    736:                    $Apache::functionplotresponse::func[$xi]=$funcval;
                    737:                    if (defined($funcval)) {
                    738:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
                    739:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
                    740:                       }
                    741:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
                    742:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
                    743:                       }
                    744:                    }
1.28      www       745: # Chain rule
1.22      www       746: # dy/dx=dy/dt/(dx/dt)
                    747:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
                    748:                    if ($dxdt) {
                    749:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
1.34      www       750: # Second derivative
1.28      www       751:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
1.34      www       752:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
                    753:                          ($dxdt*$dxdt*$dxdt);
1.22      www       754:                    }
1.18      www       755:                 }
                    756:             }
                    757:         }
                    758:     }
                    759: }
                    760: 
                    761: #
1.37      www       762: # Implementation of <functionplotresponse>
1.15      www       763: #
                    764: 
1.1       www       765: sub start_functionplotresponse {
                    766:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    767:   my $result='';
1.6       www       768: # To remember the splines - somehow, they need to come last
                    769:   undef %Apache::functionplotresponse::splineorder;
                    770:   undef %Apache::functionplotresponse::splineinitx;
                    771:   undef %Apache::functionplotresponse::splineinity;
                    772:   undef %Apache::functionplotresponse::splinescalex;
                    773:   undef %Apache::functionplotresponse::splinescaley;
1.10      www       774: # Remember input fields, etc
                    775:   undef %Apache::functionplotresponse::previous;
1.9       www       776:   $Apache::functionplotresponse::inputfields='';
1.6       www       777:   $Apache::functionplotresponse::counter=0;
1.24      www       778: # Remember rules
1.25      www       779:   undef @Apache::functionplotresponse::functionplotrules;
1.37      www       780: # Remember failed rules
                    781:   if ($target eq 'grade') {
                    782:      undef @Apache::functionplotresponse::failedrules;
                    783:   }
                    784: # Delete previous awards
                    785:   undef $Apache::functionplotresponse::awarddetail;
1.10      www       786: # Part and ID
                    787:   my $partid=$Apache::inputtags::part;
                    788:   my $id=&Apache::response::start_response($parstack,$safeeval);
1.6       www       789: # Internal ID to mark the applet and its coordinates
1.10      www       790:   my $internalid = $partid.'_'.$id;
                    791: # Previous answer
                    792:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
                    793: 
1.6       www       794: # Parameters of <functionplotresponse>
1.41      www       795:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
1.6       www       796:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    797:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    798:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1.14      www       799:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
                    800:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1.12      www       801:   if ($target eq 'edit') {
                    802:     $result.=&Apache::edit::start_table($token)
                    803:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
                    804:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1.37      www       805:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
                    806:        .&Apache::edit::insertlist($target,$token)
1.12      www       807:        .'</span></td>'
                    808:        ."<td>&nbsp;"
                    809:        .&Apache::edit::end_row()
                    810:        .&Apache::edit::start_spanning_row()
                    811:        ."\n";
1.14      www       812:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
                    813:                                      $token,'6').'&nbsp;'.
                    814:              &Apache::edit::text_arg('Minimum x-value:','xmin',
                    815:                                      $token,'4').'&nbsp;'.
1.12      www       816:              &Apache::edit::text_arg('Maximum x-value:','xmax',
1.14      www       817:                                      $token,'4').'&nbsp;'.
1.12      www       818:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1.32      www       819:                                   ['yes','no'],$token).'<br />'.
1.14      www       820:              &Apache::edit::text_arg('Label y-axis:','ylabel',
                    821:                                      $token,'6').'&nbsp;'.
1.12      www       822:              &Apache::edit::text_arg('Minimum y-value:','ymin',
1.14      www       823:                                      $token,'4').'&nbsp;'.
1.12      www       824:              &Apache::edit::text_arg('Maximum y-value:','ymax',
1.14      www       825:                                      $token,'4').'&nbsp;'.
1.12      www       826:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1.32      www       827:                                   ['yes','no'],$token).'<br />'.
1.12      www       828:              &Apache::edit::select_arg('Grid visible:','gridvisible',
                    829:                                   ['yes','no'],$token).
                    830:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
                    831:   } elsif ($target eq 'modified') {
                    832:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.14      www       833:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
1.12      www       834:                                                            'xaxisvisible','yaxisvisible','gridvisible');
                    835:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1.3       www       836: 
1.12      www       837:   } elsif ($target eq 'meta') {
1.10      www       838:        $result=&Apache::response::meta_package_write('functionplotresponse');
1.35      www       839:   } elsif (($target eq 'answer') &&
                    840:             ($env{'form.answer_output_mode'} ne 'tex') &&
                    841:             ($Apache::lonhomework::viewgrades == 'F')) {
                    842:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
                    843:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
                    844:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
                    845:                                                {'only_body' => 1,
                    846:                                                 'bgcolor'   => '#FFFFFF',
                    847:                                                 'js_ready'  => 1,});
                    848:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
                    849:       $uname =~s/\W//g;
                    850:       $udom  =~s/\W//g;
                    851:       my $function_name =
                    852:                 join('_','LONCAPA_scriptvars',$uname,$udom,
                    853:                      $env{'form.counter'},$Apache::lonxml::curdepth);
                    854:       my $rules_var ="<script type=\"text/javascript\">
                    855: // <![CDATA[
                    856:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
                    857:     $Apache::functionplotresponse::ruleslog.
                    858:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
                    859: // ]]>
                    860: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
                    861:             &Apache::lonxml::add_script_result($rules_var);
                    862:         }
                    863: 
1.1       www       864:   return $result;
                    865: }
                    866: 
1.25      www       867: sub compare_rel {
1.26      www       868:    my ($relationship,$value,$realval,$tol)=@_;
1.36      www       869: # is the real value undefined?
1.26      www       870:    unless (defined($realval)) {
1.36      www       871: # the real value is not defined
1.26      www       872:       if ($relationship eq 'eq') {
                    873:          if ($value eq 'undef') {
                    874:             return 1;
                    875:          } else {
                    876:             return 0;
                    877:          }
                    878:       } elsif ($relationship eq 'ne') {
                    879:          if ($value eq 'undef') {
                    880:             return 0;
                    881:          } else {
                    882:             return 1;
                    883:          }
                    884:       } else {
                    885:          return 0;
                    886:       }
                    887:    }
                    888: 
1.36      www       889: # is the expected value undefined?
                    890:    if ($value eq 'undef') {
                    891: # but by now we know that the real value is defined
                    892:       return 0;
                    893:    }
                    894: 
                    895: # both are defined.
1.26      www       896:    if ($relationship eq 'gt') {
                    897:       return ($realval>$value);
                    898:    } elsif ($relationship eq 'ge') {
                    899:       return ($realval>$value-$tol);
                    900:    } elsif ($relationship eq 'lt') {
                    901:       return ($realval<$value);
                    902:    } elsif ($relationship eq 'le') {
                    903:       return ($realval<$value+$tol);
                    904:    } elsif ($relationship eq 'ne') {
                    905:       return (abs($value-$realval)>$tol);
                    906:    } else {
                    907:       return (abs($value-$realval)<$tol);
                    908:    }
1.25      www       909:    return 0;
                    910: }
                    911: 
1.35      www       912: sub addlog {
                    913:    my ($text)=@_;
                    914:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
                    915: }
                    916: 
                    917: sub actualval {
                    918:    my ($i,$xmin,$xmax)=@_;
                    919:    return $xmin+$i/400.*($xmax-$xmin);
                    920: }
                    921:  
1.25      www       922: sub functionplotrulecheck {
1.33      www       923:    my ($rule,$xmin,$xmax,$ymin,$ymax)=@_;
                    924: 
1.35      www       925:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
1.25      www       926:       =split(/\:/,$rule);
1.33      www       927:    $percent=($percent>0?$percent:5);
1.35      www       928:    &addlog("=================");
1.42      www       929:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
1.30      www       930:    my $li=0;
                    931:    my $lh=400;
                    932: 
1.31      www       933: # Special case: the upper boundary was not defined
                    934: # and needs to be set to the value where
                    935: # the condition is not true anymore => set flag
                    936: 
                    937:    my $findupper=0;
                    938:    if (($xfinal eq '')
                    939:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
                    940:     && ($xfinallabel)) {
                    941:        $findupper=1;
                    942:    }
                    943: 
1.25      www       944: # if a hard value is set for the boundaries, it overrides the label
1.30      www       945:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
                    946:       $li=&array_index($xmin,$xmax,$xinitial);
                    947:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
                    948:    }
                    949:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
                    950:       $lh=&array_index($xmin,$xmax,$xfinal);
                    951:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
1.25      www       952:    }
1.31      www       953: # if the label is defined, use it
1.25      www       954:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
1.35      www       955:       &addlog("Using lower label $xinitiallabel");
1.30      www       956:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
                    957:    } else {
                    958:       $li=&array_index($xmin,$xmax,$xinitial);
1.25      www       959:    }
1.31      www       960:    unless ($findupper) {
                    961:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
1.35      www       962:          &addlog("Using upper label $xfinallabel");
1.33      www       963:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
1.31      www       964:       } else {
                    965:          $lh=&array_index($xmin,$xmax,$xfinal);
                    966:       }
1.25      www       967:    }
                    968: # Basic sanity checks
1.30      www       969:    if ($li<0) { $li=0; }
                    970:    if ($lh>400) { $lh=400; }
1.38      www       971:    if (($li>$lh) || (!defined($lh))) {
1.30      www       972:        $lh=$li;
1.25      www       973:    }
1.31      www       974: 
1.35      www       975:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
                    976:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
                    977:    if ($findupper) {
                    978:       &addlog("Looking for label $xfinallabel");
                    979:    }
1.33      www       980:    my $tol=$percent*($ymax-$ymin)/100;
                    981:    if ($xmax>$xmin) {
                    982:       if ($derivative==2) {
                    983:          $tol=4.*$tol/($xmax-$xmin);
                    984:       } elsif ($derivative==1) {
                    985:          $tol=2.*$tol/($xmax-$xmin);
1.42      www       986:       } elsif ($derivative==-1) {
                    987:          $tol=$tol*($xmax-$xmin)/2.;
1.33      www       988:       }
1.27      www       989:    }
1.42      www       990:    my $integral=0;
                    991:    my $binwidth=($xmax-$xmin)/400.;
                    992:    if (($derivative<0) && (!$findupper)) {
                    993: # definite integral, calculate over whole length
                    994:      &addlog("Calculating definite integral");
                    995:      for (my $i=$li; $i<=$lh; $i++) {
                    996:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
                    997:      }
                    998:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
                    999:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
                   1000:         &addlog("Rule $label failed.");
                   1001:         my $hintlabel=$label;
                   1002:         $hintlabel=~s/^R//;
                   1003:         push(@Apache::functionplotresponse::failedrules,$hintlabel);
                   1004:         &addlog("Set hint condition $hintlabel");
                   1005:         return 0;
                   1006:      } 
                   1007:    } else {
                   1008:      for (my $i=$li; $i<=$lh; $i++) {
1.25      www      1009:         my $val;
                   1010:         if ($derivative==2) {
1.27      www      1011:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
1.25      www      1012:         } elsif ($derivative==1) {
1.27      www      1013:            $val=$Apache::functionplotresponse::dfuncdx[$i];
1.42      www      1014:         } elsif ($derivative==-1) {
                   1015:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
                   1016:            $val=$integral;      
1.25      www      1017:         } else {
1.27      www      1018:            $val=$Apache::functionplotresponse::func[$i];
1.25      www      1019:         }
1.31      www      1020:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
1.37      www      1021:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1.35      www      1022:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1.31      www      1023:            if (($findupper) && ($i>$li)) {
1.35      www      1024: # check for minimum and maximum lengths
                   1025:               my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
                   1026:               if ($minimumlength) {
                   1027:                  if ($length<$minimumlength) {
                   1028:                     &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
                   1029:                     return 0;
                   1030:                  }
                   1031:               }
                   1032:               if ($maximumlength) {
                   1033:                  if ($length>$maximumlength) {
                   1034:                     &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
                   1035:                     return 0;
                   1036:                  }
                   1037:               }
1.31      www      1038:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1.35      www      1039:               &addlog("Rule $label passed, setting label $xfinallabel");
1.31      www      1040:               return 1;
                   1041:            } else {
1.35      www      1042:               &addlog("Rule $label failed.");
1.37      www      1043:               my $hintlabel=$label;
                   1044:               $hintlabel=~s/^R//;
                   1045:               push(@Apache::functionplotresponse::failedrules,$hintlabel);
                   1046:               &addlog("Set hint condition $hintlabel");
1.31      www      1047:               return 0; 
                   1048:            }
                   1049:         }
1.42      www      1050:      }
1.25      www      1051:    }
1.35      www      1052:    &addlog("Rule $label passed.");
1.27      www      1053:    return 1;
1.24      www      1054: }
                   1055: 
1.37      www      1056: sub start_functionplotruleset {
                   1057:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                   1058:    if ($target eq 'edit') {
                   1059:       return &Apache::edit::start_table($token).
                   1060:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
                   1061:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
                   1062:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
                   1063:         &Apache::edit::insertlist($target,$token)
                   1064:        .'</span></td>'
                   1065:        ."<td>&nbsp;"
                   1066:        .&Apache::edit::end_row()
                   1067:        .&Apache::edit::start_spanning_row()
                   1068:        ."\n";
                   1069:    }
                   1070: }
1.3       www      1071: 
1.37      www      1072: sub end_functionplotruleset {
                   1073:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
                   1074:     my $id=$Apache::inputtags::response[-1];
                   1075:     my $partid=$Apache::inputtags::part;
                   1076:     my $internalid = $partid.'_'.$id;
                   1077: 
                   1078:     if ($target eq 'edit' ) {
                   1079:         return &Apache::edit::end_table();
                   1080:     }  elsif ($target eq 'grade'
1.10      www      1081:          && &Apache::response::submitted()
                   1082:          && $Apache::lonhomework::type ne 'exam') {
1.12      www      1083: #
                   1084: # Actually grade
                   1085: #
1.41      www      1086:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1.27      www      1087: 
1.24      www      1088:         my $ad='';
1.30      www      1089:         undef  %Apache::functionplotresponse::functionplotrulelabels;
1.35      www      1090:         $Apache::functionplotresponse::ruleslog='';
1.30      www      1091:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
                   1092:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
1.18      www      1093:         if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
1.21      www      1094:            $ad='NOT_FUNCTION';
1.18      www      1095:         } else {
1.35      www      1096:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
                   1097:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
                   1098:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
                   1099:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
                   1100: 
1.24      www      1101: # We have a function that we can actually grade, go through the spline rules.
1.25      www      1102:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
1.33      www      1103:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) {
1.24      www      1104:                  $ad='INCORRECT';
                   1105:                  last;
                   1106:               }
                   1107:            }
                   1108: # If it's not wrong, it's correct 
                   1109:            unless ($ad) { $ad='EXACT_ANS' };
1.18      www      1110:         }
1.37      www      1111:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
                   1112:         &addlog("Assigned award detail: $ad");
                   1113: # Store for later to be assigned at end_functionplotresponse
                   1114:         $Apache::functionplotresponse::awarddetail=$ad;
                   1115:      }
                   1116: }
                   1117: 
                   1118: 
                   1119: sub end_functionplotresponse {
                   1120:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                   1121:   &Apache::response::end_response;
                   1122: 
                   1123:   my $result;
                   1124:   my $id=$Apache::inputtags::response[-1];
                   1125:   my $partid=$Apache::inputtags::part;
                   1126:   my $internalid = $partid.'_'.$id;
1.20      www      1127: 
1.37      www      1128:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
                   1129:     if ($target eq 'grade'
                   1130:          && &Apache::response::submitted()
                   1131:          && $Apache::lonhomework::type eq 'exam') {
                   1132: 
                   1133:         &Apache::response::scored_response($partid,$id);
                   1134: 
                   1135:     } elsif ($target eq 'grade'
                   1136:          && &Apache::response::submitted()
                   1137:          && $Apache::lonhomework::type ne 'exam') {
                   1138:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
                   1139:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
                   1140:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
                   1141: #
                   1142: # Assign grade
                   1143: #
                   1144:         my $ad=$Apache::functionplotresponse::awarddetail;
1.12      www      1145: #
                   1146: # Store grading info
                   1147: #
                   1148:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
                   1149:         &Apache::response::handle_previous(\%previous,$ad);
1.10      www      1150:    } elsif ($target eq 'web') {
1.37      www      1151:         undef @Apache::functionplotresponse::failedrules;
                   1152:    }
                   1153:    return $result;
                   1154: }
                   1155: 
                   1156: sub end_functionplotelements {
                   1157:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
                   1158:   my $result='';
                   1159:   my $id=$Apache::inputtags::response[-1];
                   1160:   my $partid=$Apache::inputtags::part;
                   1161:   my $internalid = $partid.'_'.$id;
                   1162:   if ($target eq 'edit' ) {
                   1163:      $result=&Apache::edit::end_table();
                   1164:   } elsif ($target eq 'web') {
1.6       www      1165: # Now is the time to render all of the stored splines
1.41      www      1166:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1.6       www      1167:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
1.40      www      1168:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax);
1.6       www      1169:      }
1.5       www      1170: # close the init script
1.3       www      1171:      $result.=&end_init_script();
1.17      www      1172: # register all splines in this response 
                   1173:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
                   1174:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
                   1175:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
                   1176:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
                   1177:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
                   1178:      }
1.9       www      1179: # generate the input fields
                   1180:      $result.=$Apache::functionplotresponse::inputfields;
1.5       www      1181: # actually start the <applet>-tag
1.3       www      1182:      $result.=&geogebra_startcode($internalid);
1.5       www      1183: # load the spline bytecode
1.3       www      1184:      $result.=&geogebra_spline_program();
1.5       www      1185: # set default parameters
1.3       www      1186:      $result.=&geogebra_default_parameters($internalid);
1.5       www      1187: # close the <applet>-tag
1.1       www      1188:      $result.=&geogebra_endcode();
                   1189:   }
                   1190:   return $result;
                   1191: }
                   1192: 
1.41      www      1193: sub boundaries {
                   1194:    my ($parstack,$safeeval,$level)=@_;
                   1195:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
                   1196:    $xmin=(defined($xmin)?$xmin:-10);
                   1197:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
                   1198:    $xmax=(defined($xmax)?$xmax:10);
                   1199:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
                   1200:    $ymin=(defined($ymin)?$ymin:-10);
                   1201:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
                   1202:    $ymax=(defined($ymax)?$ymax:10);
                   1203:    if ($xmax<=$xmin) {
                   1204:       $xmax=$xmin+20;
                   1205:    }
                   1206:    if ($ymax<=$ymin) {
                   1207:       $ymax=$ymin+20;
                   1208:    }
                   1209:    return ($xmin,$xmax,$ymin,$ymax);
                   1210: }
                   1211: 
1.37      www      1212: sub start_functionplotelements {
                   1213:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                   1214:    my $result='';
                   1215:    my $id=$Apache::inputtags::response[-1];
                   1216:    my $partid=$Apache::inputtags::part;
                   1217:    my $internalid = $partid.'_'.$id;
                   1218: 
                   1219:    if ($target eq 'edit') {
                   1220:       return &Apache::edit::start_table($token).
                   1221:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
                   1222:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
                   1223:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
                   1224:         &Apache::edit::insertlist($target,$token)
                   1225:        .'</span></td>'
                   1226:        ."<td>&nbsp;"
                   1227:        .&Apache::edit::end_row()
                   1228:        .&Apache::edit::start_spanning_row()
                   1229:        ."\n";
                   1230:    } elsif ($target eq 'web') {
1.41      www      1231:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1.37      www      1232:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
                   1233:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
                   1234:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
                   1235:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
                   1236:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
                   1237: 
                   1238: 
                   1239: # paste in the update routine to receive stuff back from the applet
                   1240:      $result.=&update_script($internalid);
                   1241: # start the initscript for this applet
                   1242:      $result.=&start_init_script($internalid);
                   1243: # put the axis commands inside
                   1244:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1.45      www      1245:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
1.37      www      1246: # init script is left open
                   1247:   }
                   1248:   return $result;
                   1249: }
                   1250: 
1.1       www      1251: 1;
                   1252: 
                   1253: __END__
                   1254:  
                   1255: =head1 NAME
                   1256: 
                   1257: Apache::functionplotresponse.pm;
                   1258: 
                   1259: =head1 SYNOPSIS
                   1260: 
                   1261: Handles tags associated with accepting function plots.
                   1262: 
                   1263: This is part of the LearningOnline Network with CAPA project
                   1264: described at http://www.lon-capa.org.
                   1265: 
                   1266: =head1 HANDLER SUBROUTINE
                   1267: 
                   1268: start_functionplotresponse()
                   1269: 
                   1270: =head1 OTHER SUBROUTINES
                   1271: 
                   1272: =over
                   1273: 
                   1274: =item end_functionplotresponse()
                   1275: 
                   1276: =back
                   1277: 
                   1278: =cut

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