File:  [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.65: download - view: text, annotated - select for diffs
Thu Oct 13 01:54:12 2011 UTC (12 years, 7 months ago) by www
Branches: MAIN
CVS tags: HEAD
Values in functionplotresponse rules can be evaluated

    1: # LearningOnline Network with CAPA
    2: # option list style responses
    3: #
    4: # $Id: functionplotresponse.pm,v 1.65 2011/10/13 01:54:12 www Exp $
    5: #
    6: # Copyright Michigan State University Board of Trustees
    7: #
    8: # This file is part of the LearningOnline Network with CAPA (LON-CAPA).
    9: #
   10: # LON-CAPA is free software; you can redistribute it and/or modify
   11: # it under the terms of the GNU General Public License as published by
   12: # the Free Software Foundation; either version 2 of the License, or
   13: # (at your option) any later version.
   14: #
   15: # LON-CAPA is distributed in the hope that it will be useful,
   16: # but WITHOUT ANY WARRANTY; without even the implied warranty of
   17: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   18: # GNU General Public License for more details.
   19: #
   20: # You should have received a copy of the GNU General Public License
   21: # along with LON-CAPA; if not, write to the Free Software
   22: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
   23: #
   24: # /home/httpd/html/adm/gpl.txt
   25: #
   26: # http://www.lon-capa.org/
   27: #
   28: 
   29: package Apache::functionplotresponse;
   30: use strict;
   31: use Apache::response();
   32: use Apache::lonlocal;
   33: use Apache::lonnet;
   34: use Apache::run;
   35:  
   36: BEGIN {
   37:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
   38:                                                             'functionplotrule','functionplotruleset',
   39:                                                             'functionplotelements'));
   40: }
   41: 
   42: #
   43: # There can be a number of applets on a page, each called ggbApplet_$id, 
   44: # where $id is the "_"-concatenated part and responseid
   45: #
   46: 
   47: sub geogebra_startcode {
   48:     my ($id)=@_;
   49:     return (<<ENDSTARTCODE);
   50: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
   51:          codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
   52:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
   53: ENDSTARTCODE
   54: }
   55: 
   56: sub geogebra_endcode {
   57:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
   58: }
   59: 
   60: #
   61: # This is the internal GeoGebra bytecode which defines the spline functions
   62: #
   63: sub geogebra_spline_program {
   64:     return (<<ENDSPLINEPROGRAM);
   65: <param name="ggbBase64" value="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"/>
   66: ENDSPLINEPROGRAM
   67: }
   68: 
   69: #
   70: # The standard set of parameters inside <applet>
   71: #
   72: sub geogebra_default_parameters {
   73:    my ($id)=@_;
   74:    return(<<ENDDEFAULTPARAMETERS);
   75:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
   76:         <param name="boxborder" value="false"  />
   77:         <param name="centerimage" value="true"  />
   78: 	<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_algos.jar, geogebra_javascript.jar, geogebra_properties.jar, jlatexmath.jar, jlm_cyrillic.jar, jlm_greek.jar" />
   79: 	<param name="cache_version" value="3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0" />
   80:         <param name="framePossible" value="false" />
   81: 
   82:         <param name="showResetIcon" value="false" />
   83:         <param name="showAnimationButton" value="false" />
   84:         <param name="enableRightClick" value="false" />
   85:         <param name="errorDialogsActive" value="true" />
   86:         <param name="enableLabelDrags" value="false" />
   87:         <param name="showMenuBar" value="false" />
   88:         <param name="showToolBar" value="false" />
   89:         <param name="showToolBarHelp" value="false" />
   90:         <param name="showAlgebraInput" value="false" />
   91:         <param name="enableShiftDragZoom" value="false" />
   92:         <param name="allowRescaling" value="false" />
   93:         <param name="enableLabelDrags" value="false" />
   94:         <param name="ggbOnInitParam" value="applet_$id" />
   95: ENDDEFAULTPARAMETERS
   96: }
   97: 
   98: #
   99: # This subroutine is called by LON-CAPA at </problem>
  100: # Each applet on the page will call function ggbOnInit when it is done loading
  101: # This function in turn will call the respective function registered by start_init_script
  102: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
  103: #
  104: 
  105: sub init_script {
  106:    if ($#Apache::functionplotresponse::callscripts>=0) {
  107:       my $script='';
  108:       foreach my $id (@Apache::functionplotresponse::callscripts) {
  109:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
  110:       }
  111:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
  112:                ") { setTimeout('ggbInitAll()',200) }";
  113:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
  114:       return (<<ENDGGBINIT);
  115: <script type="text/javascript">
  116: // <![CDATA[
  117: // Function that each applet will call when loaded
  118: // It will pass "its" parameter
  119: // Set flags for when an applet is loaded, wait till all are loaded, and then some
  120: function ggbOnInit(param) {
  121: $script
  122: }
  123: function ggbInitAll() {
  124: $calls
  125: }
  126: // ]]>
  127: </script>
  128: ENDGGBINIT
  129:    }
  130: }
  131: 
  132: #
  133: # Each Geogebra applet is supposed to call this when parameters change
  134: # Changes the hidden fields on the web page
  135: #
  136: sub update_script {
  137:     my ($id)=@_;
  138:     return (<<ENDUPDATESCRIPT);
  139: <script type="text/javascript">
  140: // <![CDATA[
  141: function updatePointCoordinates_$id(coordinateName) {
  142:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
  143:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
  144:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
  145:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
  146:         }
  147: // ]]>
  148: </script>
  149: ENDUPDATESCRIPT
  150: }
  151: 
  152: #
  153: # Register the above update-handler for a variable
  154: #
  155: 
  156: sub update_register {
  157:    my ($id,$variable)=@_;
  158:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
  159: }
  160: 
  161: #
  162: # Set a point coordinate variable
  163: #
  164: sub set_point_coordinate {
  165:    my ($id,$variable,$x,$y,$fixed)=@_;
  166:    my $mult=($fixed?'a*':'');
  167:    return (<<ENDSETVARIABLE);
  168: document.ggbApplet_$id.evalCommand("a=1");
  169: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
  170: document.ggbApplet_$id.setLabelVisible("$variable",false);
  171: ENDSETVARIABLE
  172: }
  173: 
  174: #
  175: # Set a slope coordinate variable
  176: #
  177: sub set_slope_coordinate {
  178:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
  179:    my $xvariable=$variable.'x';
  180:    my $yvariable=$variable.'y';
  181:    my $domain=$xmax-$xmin;
  182:    my $range=$ymax-$ymin;
  183:    my $xinterval=$domain/100.;
  184:    my $yinterval=$range/200.;
  185:    my $mult=($fixed?'a*':'');
  186:    return (<<ENDSETSVARIABLE);
  187: document.ggbApplet_$id.evalCommand("a=1");
  188: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
  189: document.ggbApplet_$id.setVisible("$xvariable", false);
  190: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
  191: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
  192: document.ggbApplet_$id.setVisible("$yvariable", false);
  193: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
  194: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
  195: document.ggbApplet_$id.setLabelVisible("$variable", false);
  196: ENDSETSVARIABLE
  197: }
  198: 
  199: #
  200: # Input field name for a coordinate variable
  201: #
  202: 
  203: sub field_name {
  204:     my ($id,$variable,$name)=@_;
  205:     return "HWVAL_$id\_$variable\_$name";
  206: }
  207: 
  208: #
  209: # Generate an input field for a coordinate variable
  210: #
  211: 
  212: sub generate_input_field {
  213:     my ($id,$variable,$x,$y)=@_;
  214:     $Apache::functionplotresponse::inputfields.=
  215:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
  216:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
  217: }
  218: 
  219: #
  220: # Initialize a new point coordinate variable at set a listener on it
  221: #
  222: sub new_point_coordinate {
  223:     my ($id,$variable,$x,$y,$fixed)=@_;
  224:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  225:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  226:     }
  227:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  228:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  229:     }
  230:     &generate_input_field($id,$variable,$x,$y);
  231:     return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
  232: }
  233: 
  234: #
  235: # Initialize a new slope coordinate variable at set a listener on it
  236: #
  237: sub new_slope_coordinate {
  238:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  239: #
  240: # $variable: name of the slope point
  241: # $x, $y: coordinates of the slope point
  242: # $pointname: name of the associated point point
  243: # $xp $yp: coordinates of the point point
  244: #
  245:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
  246:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
  247:     }
  248:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
  249:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
  250:     }
  251:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
  252:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
  253:     }
  254:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
  255:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
  256:     }
  257: 
  258:     &generate_input_field($id,$variable,$x,$y);
  259:     my $xrel=$x-$xp;
  260:     my $yrel=$y-$yp;
  261:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
  262: }
  263: 
  264: #
  265: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
  266: # It then starts the right headers
  267: #
  268: sub start_init_script {
  269:     my ($id)=@_;
  270: # Add id to the list of ggbInit_$id functions that need to be called
  271:     push(@Apache::functionplotresponse::callscripts,$id);
  272: # ... and open this function
  273:     return (<<ENDSTARTINIT);
  274: <script type="text/javascript">
  275: // <![CDATA[
  276: // variable that will eventually be passed back to the server
  277: var coordinateMap_$id = [];
  278: // flag for not loaded yet
  279: var loaded_$id=false;
  280: // Init-function for applet
  281: function ggbInit_$id() {
  282: ENDSTARTINIT
  283: }
  284: 
  285: #
  286: # This sets the axes inside ggbInit_$id
  287: #
  288: 
  289: sub axes_script {
  290:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
  291:     return (<<ENDAXESSCRIPT);
  292:             // changes (xmin, xmax, ymin, ymax)
  293:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
  294: 
  295:             // makes the (x,y) axis (in)visible
  296:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
  297:             // makes the grid (in)visible
  298:             document.ggbApplet_$id.setGridVisible($gvisible);
  299: ENDAXESSCRIPT
  300: }
  301: 
  302: sub axes_label {
  303:     my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
  304:     unless ($xlabel || $ylabel) { return ''; }
  305:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
  306:     if ($xlabel) {
  307:       if (($ymin<0) && ($ymax>0)) {
  308:        $return.=(<<ENDXAXISLABELSCRIPT);
  309: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
  310: document.ggbApplet_$id.setVisible("Xlabel",false);
  311: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
  312: ENDXAXISLABELSCRIPT
  313:       } else {
  314:        $return.=(<<ENDXOFFAXISLABEL);
  315: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
  316: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
  317: ENDXOFFAXISLABEL
  318:       }
  319:     }
  320:     if ($ylabel) {
  321:       if (($xmin<0) && ($xmax>0)) {
  322:        $return.=(<<ENDYAXISLABELSCRIPT);
  323: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
  324: document.ggbApplet_$id.setVisible("Ylabel",false);
  325: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
  326: ENDYAXISLABELSCRIPT
  327:       } else {
  328:        $return.=(<<ENDYOFFAXISLABEL);
  329: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
  330: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
  331: ENDYOFFAXISLABEL
  332:       }
  333:     }
  334:     return $return;
  335: }
  336: 
  337: #
  338: # Subroutine to produce background and answer plots
  339: #
  340: 
  341: sub plot_script {
  342:    my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
  343:    $label=~s/\W//g;
  344:    if (($label) && ($label!~/^[A-Za-z]/)) {
  345:       $label='C'.$label;
  346:    }
  347:    my $visible=0;
  348:    if ($label) {
  349:       $visible="1";
  350:    } else {
  351:       $Apache::functionplotresponse::counter++;
  352:       $label='C'.$Apache::functionplotresponse::counter;
  353:    }
  354:    my $rc=0;
  355:    my $gc=0;
  356:    my $bc=0;
  357:    if ($color) {
  358:       my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
  359:       $rc=hex($rh);
  360:       $gc=hex($gh);
  361:       $bc=hex($bh);
  362:    }
  363:    if ($fixed) {
  364:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
  365:              ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
  366:              ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
  367:              ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
  368:    } else {
  369:        return "document.ggbApplet_$id.evalCommand('y=$function');\n";
  370:    }
  371: }
  372: 
  373: #
  374: # Answer spline display
  375: # 
  376: # points: x,y,slope_x,slope_y
  377: 
  378: sub answer_spline_script {
  379:    my ($id,@points)=@_;
  380:    my $order=int(($#points+1)/4);
  381:    if ($order<2) { $order=2; }
  382:    if ($order>8) { $order=8; }
  383:    $Apache::functionplotresponse::counter++;
  384:    my $label='CSpline'.$Apache::functionplotresponse::counter;
  385:    my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
  386:    for (my $i=0;$i<=$#points;$i+=4) {
  387:       $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
  388:    }
  389:    $output=~s/\,$//;
  390:    $output.=']");'."\n";
  391:    for (my $i=2; $i<2*$order; $i+=2) {
  392:        $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
  393:    }
  394:    for (my $i=1; $i<2*$order; $i+=2) {
  395:        $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
  396:    }
  397: 
  398:    return $output;
  399: }
  400: 
  401: #
  402: # Subroutine that generates code for spline $label based on stored information
  403: #
  404: 
  405: sub generate_spline {
  406:    my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
  407:    my $result='';
  408:    my $order=$Apache::functionplotresponse::splineorder{$label};
  409:    my $x=$Apache::functionplotresponse::splineinitx{$label};
  410:    my $y=$Apache::functionplotresponse::splineinity{$label};
  411:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
  412:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
  413:    my @coords=();
  414:    foreach my $i (1..$order) {
  415:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
  416:        my $xp=$x;
  417:        $x+=$sx/(2.*($order-1));
  418:        push(@coords,$label.'P'.$i);
  419:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
  420:        $x+=$sx/(2.*($order-1));
  421:        push(@coords,$label.'S'.$i);
  422:    }
  423:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
  424:    return $result;
  425: }
  426: #
  427: # <backgroundplot function="..." fixed="yes/no" />
  428: #
  429: sub start_backgroundplot {
  430:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  431:    my $result='';
  432:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
  433:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
  434:    my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
  435:    my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
  436:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
  437:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
  438:    $color=~s/[^a-fA-F0-9]//gs;
  439:    unless (length($color)==6) { $color=''; }
  440:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
  441:  
  442:    unless ($function) { $function="0"; }
  443:    if ($target eq 'web') {
  444:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
  445:       unless (defined($xinitial)) { $xinitial=$xmin; }
  446:       unless (defined($xfinal)) { $xfinal=$xmax; }
  447:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
  448:    } elsif ($target eq 'edit') {
  449:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
  450:              &Apache::edit::text_arg('Function:','function',
  451:                                      $token,'16').
  452:              &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
  453:                                      $token,'8').
  454:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  455:                                      $token,'8').
  456:              &Apache::edit::text_arg('Label on Plot:','label',
  457:                                      $token,'8').
  458:              &Apache::edit::text_arg('Color (hex code):','color',
  459:                                      $token,'8').
  460:              &Apache::edit::select_arg('Fixed location:','fixed',
  461:                                   ['yes','no'],$token).
  462:              &Apache::edit::end_row();
  463:   } elsif ($target eq 'modified') {
  464:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  465:                                                  $safeeval,'function','label','xinitial','xfinal','color','fixed');
  466:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  467:   }
  468:   return $result;
  469: }
  470: 
  471: sub end_backgroundplot {
  472:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  473:    my $result='';
  474:    if ($target eq 'edit') {
  475:        $result=&Apache::edit::end_table();
  476:    }
  477:    return $result;
  478: }
  479: 
  480: #
  481: # <functionplotrule ... />
  482: #
  483: sub start_functionplotrule {
  484:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  485:    my $result='';
  486:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  487:    $Apache::functionplotresponse::counter++;
  488:    if ($label=~/\W/) {
  489:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
  490:    }
  491:    $label=~s/\W//gs;
  492:    unless ($label) {
  493:       $label='R'.$Apache::functionplotresponse::counter;
  494:    } else {
  495:       $label='R'.$label;
  496:    }
  497:    if ($Apache::functionplotresponse::splineorder{$label}) {
  498:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
  499:    }
  500: 
  501: 
  502:    if ($target eq 'grade') {
  503: # Simply remember - in order - for later
  504:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
  505:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
  506:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
  507:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
  508:       }
  509:       $beginninglabel=~s/\W//gs;
  510:       $endinglabel=~s/\W//gs;
  511:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
  512:       $relationship=~s/\W//gs;
  513:       $relationship=lc($relationship);
  514:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
  515:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
  516:           $relationship='eq';
  517:       }
  518:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
  519:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
  520:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
  521:          $derivative=0;
  522:       }
  523:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
  524:            $label,
  525:            $derivative,
  526:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
  527:            $beginninglabel,
  528:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
  529:            $endinglabel,
  530:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
  531:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
  532:            $relationship,
  533:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
  534:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
  535:           )));
  536:    } elsif ($target eq 'edit') {
  537:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
  538:              &Apache::edit::text_arg('Index/Name:','index',
  539:                                      $token,'10').'&nbsp;'.
  540:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
  541:                                   [['0','Function itself'],
  542:                                    ['1','First derivative'],
  543:                                    ['2','Second derivative'],
  544:                                    ['-1','Integral']],$token).'<br />'.
  545:              &Apache::edit::text_arg('Initial x-value:','xinitial',
  546:                                       $token,'8').
  547:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
  548:                                                [['start','Start of Plot'],
  549:                                                 ['end','End of Plot']],$token,'8').'<br />'.
  550: 
  551:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
  552:                                       $token,'8').
  553:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
  554:                                                [['end','End of Plot']],$token,'8').'<br />'.
  555:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
  556:                                      $token,'8').
  557:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
  558:                                      $token,'8').'<br />'.
  559:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
  560:                                   [['eq','equal'],
  561:                                    ['ne','not equal'],
  562:                                    ['ge','greater than or equal'],
  563:                                    ['gt','greater than'],
  564:                                    ['lt','less than'],
  565:                                    ['le','less than or equal']],$token).
  566:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
  567:                                                [['undef','not defined']],$token,'30').
  568:              &Apache::edit::text_arg('Percent error:','percenterror',
  569:                                      $token,'8').
  570:              &Apache::edit::end_row();
  571:   } elsif ($target eq 'modified') {
  572:     if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
  573:        $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
  574:     }
  575:     if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
  576:        $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
  577:     }
  578:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  579:                                                  $safeeval,'index','derivativeorder',
  580:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
  581:                                                            'minimumlength','maximumlength',
  582:                                                            'relationship','value','percenterror');
  583:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  584:    }
  585:    return $result;
  586: }
  587: 
  588: sub end_functionplotrule {
  589:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  590:    my $result='';
  591:    if ($target eq 'edit') {
  592:        $result=&Apache::edit::end_table();
  593:    }
  594:    return $result;
  595: }
  596: 
  597: 
  598: #
  599: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
  600: #
  601: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
  602: #
  603: sub start_spline {
  604:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  605:    my $result='';
  606:    if ($target eq 'web') {
  607:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
  608:       $Apache::functionplotresponse::counter++;
  609:       if ($label=~/\W/) {
  610:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
  611:       }
  612:       $label=~s/\W//gs;
  613:       unless ($label) { 
  614:          $label='S'.$Apache::functionplotresponse::counter; 
  615:       } else {
  616:          $label='S'.$label;
  617:       }
  618:       if ($Apache::functionplotresponse::splineorder{$label}) {
  619:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
  620:       }
  621: 
  622:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
  623:       if ($order<2) { $order=2; }
  624:       if ($order>8) { $order=8; }
  625:       $Apache::functionplotresponse::splineorder{$label}=$order;
  626: 
  627:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
  628:       unless ($x) { $x=0; }
  629:       $Apache::functionplotresponse::splineinitx{$label}=$x;
  630: 
  631:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
  632:       unless ($y) { $y=0; }
  633:       $Apache::functionplotresponse::splineinity{$label}=$y;
  634: 
  635:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
  636:       unless ($sx) { $sx=$order; }
  637:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
  638: 
  639:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
  640:       unless ($sy) { $sy=2; }
  641:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
  642:    } elsif ($target eq 'edit') {
  643:         $result=&Apache::edit::tag_start($target,$token,'Spline').
  644:              &Apache::edit::text_arg('Index:','index',
  645:                                      $token,'4').'&nbsp;'.
  646:              &Apache::edit::select_arg('Order:','order',
  647:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
  648:              &Apache::edit::text_arg('Initial x-value:','initx',
  649:                                      $token,'4').'&nbsp;'.
  650:              &Apache::edit::text_arg('Initial y-value:','inity',
  651:                                      $token,'4').'&nbsp;'.
  652:              &Apache::edit::text_arg('Scale x:','scalex',
  653:                                      $token,'4').'&nbsp;'.
  654:              &Apache::edit::text_arg('Scale y:','scaley',
  655:                                      $token,'4').
  656:              &Apache::edit::end_row();
  657:   } elsif ($target eq 'modified') {
  658:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  659:                                                  $safeeval,'index','order','initx','inity',
  660:                                                            'scalex','scaley');
  661:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
  662:   }
  663:   return $result;
  664: }
  665: 
  666: sub end_spline {
  667:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  668:    my $result='';
  669:    if ($target eq 'edit') {
  670:        $result=&Apache::edit::end_table();
  671:    }
  672:    return $result;
  673: }
  674:  
  675: sub end_init_script {
  676:     return (<<ENDENDINIT);
  677: }
  678: // ]]>
  679: </script>
  680: ENDENDINIT
  681: }
  682: 
  683: #
  684: # Storing and restoring spline coordinates from part answers
  685: #
  686: sub decode_previous_answer {
  687:    my ($answer)=@_;
  688:    foreach my $coordinate (split(/\,/,$answer)) {
  689:       my ($key,$value)=split(/\=/,$coordinate);
  690:       $Apache::functionplotresponse::previous{$key}=$value;
  691:    }
  692: }
  693: 
  694: sub get_answer_from_form_fields {
  695:    my ($id)=@_;
  696:    my $answer='';
  697:    my %coords=();
  698:    foreach my $field (keys(%env)) {
  699:       if ($field=~/^form\.HWVAL\_$id/) {
  700:          $field=~/^form\.(.*)$/;
  701:          $coords{$1}=$env{$field};
  702:       }
  703:    }
  704:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
  705:    return ($answer,%coords);
  706: }
  707: 
  708: #
  709: # The following functions calculate the cubic-hermite splines server-side
  710: #
  711: 
  712: sub cubic_hermite {
  713:    my ($t,$p1,$s1,$p2,$s2)=@_;
  714:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
  715:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
  716: }
  717: 
  718: #
  719: # d/dt(...)
  720: # 
  721: 
  722: sub ddt_cubic_hermite {
  723:    my ($t,$p1,$s1,$p2,$s2)=@_;
  724:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
  725:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
  726: }
  727: 
  728: #
  729: # d^2/dt^2(...)
  730: #
  731: 
  732: sub d2dt2_cubic_hermite {
  733:    my ($t,$p1,$s1,$p2,$s2)=@_;
  734:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
  735:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
  736: }
  737: 
  738: #
  739: # Array index calculation
  740: #
  741: sub array_index {
  742:    my ($xmin,$xmax,$x)=@_;
  743:    if ($x ne '') {
  744:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
  745:    } else {
  746:       return undef;
  747:    }
  748: }
  749: 
  750: #
  751: # Populate the arrays
  752: #
  753: 
  754: sub populate_arrays {
  755:     my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
  756:     for (my $i=0; $i<=400; $i++) {
  757:        $Apache::functionplotresponse::actualxval[$i]=undef;
  758:        $Apache::functionplotresponse::func[$i]=undef;
  759:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
  760:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
  761:     }
  762:     unless ($xmax>$xmin) { return 'no_func'; }
  763: # Run over all splines in response
  764:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
  765:         my $xiold=-1;
  766: # Run over all points in spline
  767:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
  768:             my $ni=$i+1;
  769:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
  770:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
  771:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
  772:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
  773:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
  774:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
  775:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
  776:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
  777: # Run in small steps over spline parameter
  778:             for (my $t=0; $t<=1; $t+=0.0001) {
  779:                 my $xreal=&cubic_hermite($t,@xparms);
  780:                 my $xi=&array_index($xmin,$xmax,$xreal);
  781:                 if ($xi<$xiold) { return 'no_func'; }
  782:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
  783:                    $xiold=$xi;
  784:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
  785: # Function value
  786:                    my $funcval=&cubic_hermite($t,@yparms);
  787: 
  788: # Do we already have a value for this point, and is it different from the new one?
  789:                    if ((defined($Apache::functionplotresponse::func[$xi])) &&
  790:                        (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
  791:                        return 'no_func'; 
  792:                    }
  793: # Okay, remember the new point
  794:                    $Apache::functionplotresponse::func[$xi]=$funcval;
  795: 
  796:                    if (defined($funcval)) {
  797:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
  798:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
  799:                       }
  800:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
  801:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
  802:                       }
  803:                    }
  804: # Chain rule
  805: # dy/dx=dy/dt/(dx/dt)
  806:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
  807:                    if ($dxdt) {
  808:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
  809: # Second derivative
  810:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
  811:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
  812:                          ($dxdt*$dxdt*$dxdt);
  813:                    }
  814:                 }
  815:             }
  816:         }
  817:     }
  818: }
  819: 
  820: #
  821: # Implementation of <functionplotresponse>
  822: #
  823: 
  824: sub start_functionplotresponse {
  825:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
  826:   my $result='';
  827: # To remember the splines - somehow, they need to come last
  828:   undef %Apache::functionplotresponse::splineorder;
  829:   undef %Apache::functionplotresponse::splineinitx;
  830:   undef %Apache::functionplotresponse::splineinity;
  831:   undef %Apache::functionplotresponse::splinescalex;
  832:   undef %Apache::functionplotresponse::splinescaley;
  833: # Remember input fields, etc
  834:   undef %Apache::functionplotresponse::previous;
  835:   $Apache::functionplotresponse::inputfields='';
  836:   $Apache::functionplotresponse::counter=0;
  837: # Remember rules
  838:   undef @Apache::functionplotresponse::functionplotrules;
  839: # Remember failed rules
  840:   if ($target eq 'grade') {
  841:      undef @Apache::functionplotresponse::failedrules;
  842:   }
  843: # Delete previous awards
  844:   undef $Apache::functionplotresponse::awarddetail;
  845: # Part and ID
  846:   my $partid=$Apache::inputtags::part;
  847:   my $id=&Apache::response::start_response($parstack,$safeeval);
  848: # Internal ID to mark the applet and its coordinates
  849:   my $internalid = $partid.'_'.$id;
  850: # Previous answer
  851:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
  852: 
  853: # Parameters of <functionplotresponse>
  854:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
  855:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  856:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  857:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
  858:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
  859:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
  860:   if ($target eq 'edit') {
  861:     $result.=&Apache::edit::start_table($token)
  862:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
  863:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
  864:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
  865:        .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
  866:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
  867:        .'</span></td>'
  868:        ."<td>&nbsp;"
  869:        .&Apache::edit::end_row()
  870:        .&Apache::edit::start_spanning_row()
  871:        ."\n";
  872:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
  873:                                      $token,'6').'&nbsp;'.
  874:              &Apache::edit::text_arg('Minimum x-value:','xmin',
  875:                                      $token,'4').'&nbsp;'.
  876:              &Apache::edit::text_arg('Maximum x-value:','xmax',
  877:                                      $token,'4').'&nbsp;'.
  878:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
  879:                                   ['yes','no'],$token).'<br />'.
  880:              &Apache::edit::text_arg('Label y-axis:','ylabel',
  881:                                      $token,'6').'&nbsp;'.
  882:              &Apache::edit::text_arg('Minimum y-value:','ymin',
  883:                                      $token,'4').'&nbsp;'.
  884:              &Apache::edit::text_arg('Maximum y-value:','ymax',
  885:                                      $token,'4').'&nbsp;'.
  886:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
  887:                                   ['yes','no'],$token).'<br />'.
  888:              &Apache::edit::select_arg('Grid visible:','gridvisible',
  889:                                   ['yes','no'],$token).'<br />'.
  890:              &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
  891:                                          'answerdisplay',$token,'50').
  892:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
  893:   } elsif ($target eq 'modified') {
  894:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
  895:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
  896:                                                            'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
  897:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
  898: 
  899:   } elsif ($target eq 'meta') {
  900:        $result=&Apache::response::meta_package_write('functionplotresponse');
  901:   } elsif (($target eq 'answer') &&
  902:             ($env{'form.answer_output_mode'} ne 'tex') &&
  903:             ($Apache::lonhomework::viewgrades == 'F')) {
  904:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
  905:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
  906:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
  907:                                                {'only_body' => 1,
  908:                                                 'bgcolor'   => '#FFFFFF',
  909:                                                 'js_ready'  => 1,});
  910:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
  911:       $uname =~s/\W//g;
  912:       $udom  =~s/\W//g;
  913:       my $function_name =
  914:                 join('_','LONCAPA_scriptvars',$uname,$udom,
  915:                      $env{'form.counter'},$Apache::lonxml::curdepth);
  916:       my $rules_var ="<script type=\"text/javascript\">
  917: // <![CDATA[
  918:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
  919:     $Apache::functionplotresponse::ruleslog.
  920:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
  921: // ]]>
  922: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
  923:             &Apache::lonxml::add_script_result($rules_var);
  924:         }
  925: 
  926:   return $result;
  927: }
  928: 
  929: sub compare_rel {
  930:    my ($relationship,$value,$realval,$tol)=@_;
  931: # is the real value undefined?
  932:    unless (defined($realval)) {
  933: # the real value is not defined
  934:       if ($relationship eq 'eq') {
  935:          if ($value eq 'undef') {
  936:             return 1;
  937:          } else {
  938:             return 0;
  939:          }
  940:       } elsif ($relationship eq 'ne') {
  941:          if ($value eq 'undef') {
  942:             return 0;
  943:          } else {
  944:             return 1;
  945:          }
  946:       } else {
  947:          return 0;
  948:       }
  949:    }
  950: 
  951: # is the expected value undefined?
  952:    if ($value eq 'undef') {
  953: # but by now we know that the real value is defined
  954:       return 0;
  955:    }
  956: 
  957: # both are defined.
  958:    if ($relationship eq 'gt') {
  959:       return ($realval>$value);
  960:    } elsif ($relationship eq 'ge') {
  961:       return ($realval>$value-$tol);
  962:    } elsif ($relationship eq 'lt') {
  963:       return ($realval<$value);
  964:    } elsif ($relationship eq 'le') {
  965:       return ($realval<$value+$tol);
  966:    } elsif ($relationship eq 'ne') {
  967:       return (abs($value-$realval)>$tol);
  968:    } else {
  969:       return (abs($value-$realval)<$tol);
  970:    }
  971:    return 0;
  972: }
  973: 
  974: sub addlog {
  975:    my ($text)=@_;
  976:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
  977: }
  978: 
  979: sub actualval {
  980:    my ($i,$xmin,$xmax)=@_;
  981:    return $xmin+$i/400.*($xmax-$xmin);
  982: }
  983: 
  984: sub fpr_f {
  985:    my ($arg)=@_;
  986:    return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
  987:                                                            $Apache::functionplotresponse::fpr_xmax,
  988:                                                            $arg)];
  989: }
  990: 
  991: sub fpr_dfdx {
  992:    my ($arg)=@_;
  993:    return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
  994:                                                               $Apache::functionplotresponse::fpr_xmax,
  995:                                                               $arg)];
  996: }
  997: 
  998: sub fpr_d2fdx2 {
  999:    my ($arg)=@_;
 1000:    return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
 1001:                                                                 $Apache::functionplotresponse::fpr_xmax,
 1002:                                                                 $arg)];
 1003: }
 1004:  
 1005: sub functionplotrulecheck {
 1006:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
 1007: 
 1008:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
 1009:       =split(/\:/,$rule);
 1010:    $percent=($percent>0?$percent:5);
 1011:    &addlog("=================");
 1012:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
 1013: #
 1014: # Evaluate the value
 1015: #
 1016:    if ($value=~/\D/) {
 1017:       $Apache::functionplotresponse::fpr_xmin=$xmin;
 1018:       $Apache::functionplotresponse::fpr_xmax=$xmax;
 1019:       $value=&Apache::run::run($value,$safeeval);
 1020:       &addlog("Value evaluated to $value");
 1021:    }
 1022: 
 1023: #
 1024: # Minimum and maximum lengths of the interval
 1025: #
 1026:    if ((defined($minimumlength)) || (defined($maximumlength))) {
 1027:       &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
 1028:    }
 1029:    my $li=0;
 1030:    my $lh=400;
 1031: 
 1032: # Special case: the upper boundary was not defined
 1033: # and needs to be set to the value where
 1034: # the condition is not true anymore => set flag
 1035: 
 1036:    my $findupper=0;
 1037:    if (($xfinal eq '')
 1038:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
 1039:     && ($xfinallabel)) {
 1040:        $findupper=1;
 1041:    }
 1042: 
 1043: # if a hard value is set for the boundaries, it overrides the label
 1044:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
 1045:       $li=&array_index($xmin,$xmax,$xinitial);
 1046:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
 1047:    }
 1048:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
 1049:       $lh=&array_index($xmin,$xmax,$xfinal);
 1050:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
 1051:    }
 1052: # if the label is defined, use it
 1053:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
 1054:       &addlog("Using lower label $xinitiallabel");
 1055:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
 1056:    } else {
 1057:       $li=&array_index($xmin,$xmax,$xinitial);
 1058:    }
 1059:    unless ($findupper) {
 1060:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
 1061:          &addlog("Using upper label $xfinallabel");
 1062:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
 1063:       } else {
 1064:          $lh=&array_index($xmin,$xmax,$xfinal);
 1065:       }
 1066:    }
 1067: # Basic sanity checks
 1068:    if ($li<0) { $li=0; }
 1069:    if ($lh>400) { $lh=400; }
 1070:    if (($li>$lh) || (!defined($lh))) {
 1071:        $lh=$li;
 1072:    }
 1073: 
 1074:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
 1075:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
 1076:    if ($findupper) {
 1077:       &addlog("Looking for label $xfinallabel");
 1078:    }
 1079:    my $tol=$percent*($ymax-$ymin)/100;
 1080:    if ($xmax>$xmin) {
 1081:       if ($derivative==2) {
 1082:          $tol=4.*$tol/($xmax-$xmin);
 1083:       } elsif ($derivative==1) {
 1084:          $tol=2.*$tol/($xmax-$xmin);
 1085:       } elsif ($derivative==-1) {
 1086:          $tol=$tol*($xmax-$xmin)/2.;
 1087:       }
 1088:    }
 1089:    my $integral=0;
 1090:    my $binwidth=($xmax-$xmin)/400.;
 1091:    if (($derivative<0) && (!$findupper)) {
 1092: # definite integral, calculate over whole length
 1093:      &addlog("Calculating definite integral");
 1094:      for (my $i=$li; $i<=$lh; $i++) {
 1095:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1096:      }
 1097:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
 1098:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
 1099:         &addlog("Rule $label failed.");
 1100:         my $hintlabel=$label;
 1101:         $hintlabel=~s/^R//;
 1102:         push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1103:         &addlog("Set hint condition $hintlabel");
 1104:         return 0;
 1105:      } 
 1106:    } else {
 1107:      for (my $i=$li; $i<=$lh; $i++) {
 1108:         my $val;
 1109:         if ($derivative==2) {
 1110:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
 1111:         } elsif ($derivative==1) {
 1112:            $val=$Apache::functionplotresponse::dfuncdx[$i];
 1113:         } elsif ($derivative==-1) {
 1114:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
 1115:            $val=$integral;      
 1116:         } else {
 1117:            $val=$Apache::functionplotresponse::func[$i];
 1118:         }
 1119:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
 1120:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
 1121:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
 1122:            if (($findupper) && ($i>$li)) {
 1123: # Check lengths
 1124:               unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1125: # Successfully found a new label, set it
 1126:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
 1127:               &addlog("Rule $label passed, setting label $xfinallabel");
 1128:               return 1;
 1129:            } else {
 1130:               &addlog("Rule $label failed.");
 1131:               &setfailed($label);
 1132:               return 0; 
 1133:            }
 1134:         }
 1135:      }
 1136:    }
 1137: # Corner case where this makes sense: using start or stop as defined labels
 1138:    unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
 1139:    &addlog("Rule $label passed.");
 1140:    return 1;
 1141: }
 1142: 
 1143: #
 1144: # check for minimum and maximum lengths
 1145: #
 1146: 
 1147: sub checklength {
 1148:     my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
 1149:     unless (($minimumlength) || ($maximumlength)) { return 1; }
 1150:     my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
 1151:     if ($minimumlength) {
 1152:        if ($length<$minimumlength) {
 1153:           &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
 1154:           &setfailed($label);
 1155:           return 0;
 1156:        }
 1157:     }
 1158:     if ($maximumlength) {
 1159:        if ($length>$maximumlength) {
 1160:           &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
 1161:           &setfailed($label);
 1162:           return 0;
 1163:        }
 1164:     }
 1165:     return 1;
 1166: }
 1167: 
 1168: sub setfailed {
 1169:    my ($label)=@_;
 1170:    my $hintlabel=$label;
 1171:    $hintlabel=~s/^R//;
 1172:    push(@Apache::functionplotresponse::failedrules,$hintlabel);
 1173:    &addlog("Set hint condition $hintlabel");
 1174: }
 1175: 
 1176: sub start_functionplotruleset {
 1177:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1178:    if ($target eq 'edit') {
 1179:       return &Apache::edit::start_table($token).
 1180:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
 1181:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1182:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1183:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1184:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
 1185:        .'</span></td>'
 1186:        ."<td>&nbsp;"
 1187:        .&Apache::edit::end_row()
 1188:        .&Apache::edit::start_spanning_row()
 1189:        ."\n";
 1190:    }
 1191: }
 1192: 
 1193: sub end_functionplotruleset {
 1194:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1195:     my $id=$Apache::inputtags::response[-1];
 1196:     my $partid=$Apache::inputtags::part;
 1197:     my $internalid = $partid.'_'.$id;
 1198: 
 1199:     if ($target eq 'edit' ) {
 1200:         return &Apache::edit::end_table();
 1201:     }  elsif ($target eq 'grade'
 1202:          && &Apache::response::submitted()
 1203:          && $Apache::lonhomework::type ne 'exam') {
 1204: #
 1205: # Actually grade
 1206: #
 1207:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1208: 
 1209:         my $ad='';
 1210:         undef  %Apache::functionplotresponse::functionplotrulelabels;
 1211:         $Apache::functionplotresponse::ruleslog='';
 1212:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
 1213:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
 1214:         if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
 1215:            $ad='NOT_FUNCTION';
 1216:         } else {
 1217:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
 1218:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
 1219:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
 1220:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
 1221: 
 1222: # We have a function that we can actually grade, go through the spline rules.
 1223:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
 1224:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
 1225:                  $ad='INCORRECT';
 1226:                  last;
 1227:               }
 1228:            }
 1229: # If it's not wrong, it's correct 
 1230:            unless ($ad) { $ad='EXACT_ANS' };
 1231:         }
 1232:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
 1233:         &addlog("Assigned award detail: $ad");
 1234: # Store for later to be assigned at end_functionplotresponse
 1235:         $Apache::functionplotresponse::awarddetail=$ad;
 1236:      }
 1237: }
 1238: 
 1239: 
 1240: sub end_functionplotresponse {
 1241:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1242:   &Apache::response::end_response;
 1243: 
 1244:   my $result;
 1245:   my $id=$Apache::inputtags::response[-1];
 1246:   my $partid=$Apache::inputtags::part;
 1247:   my $internalid = $partid.'_'.$id;
 1248: 
 1249:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
 1250:     if ($target eq 'grade'
 1251:          && &Apache::response::submitted()
 1252:          && $Apache::lonhomework::type eq 'exam') {
 1253: 
 1254:         &Apache::response::scored_response($partid,$id);
 1255: 
 1256:     } elsif ($target eq 'grade'
 1257:          && &Apache::response::submitted()
 1258:          && $Apache::lonhomework::type ne 'exam') {
 1259:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
 1260:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
 1261:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 1262: #
 1263: # Assign grade
 1264: #
 1265:         my $ad=$Apache::functionplotresponse::awarddetail;
 1266: #
 1267: # Store grading info
 1268: #
 1269:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
 1270:         &Apache::response::handle_previous(\%previous,$ad);
 1271:    } elsif ($target eq 'web') {
 1272:         undef @Apache::functionplotresponse::failedrules;
 1273:    }
 1274:    return $result;
 1275: }
 1276: 
 1277: sub end_functionplotelements {
 1278:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
 1279:   my $result='';
 1280:   my $id=$Apache::inputtags::response[-1];
 1281:   my $partid=$Apache::inputtags::part;
 1282:   my $internalid = $partid.'_'.$id;
 1283:   if ($target eq 'edit' ) {
 1284:      $result=&Apache::edit::end_table();
 1285:   } elsif ($target eq 'web') {
 1286:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1287: 
 1288: # Are we in show answer mode?
 1289:      my $showanswer=&Apache::response::show_answer();
 1290:      if ($showanswer) {
 1291: # Render answerdisplay
 1292:         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
 1293:         if ($answerdisplay=~/\S/s) {
 1294:            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
 1295:               my @components=split(/\s*\:\s*/,$plot);
 1296:               if ($#components<3) {
 1297: # Just a simple plot
 1298:                  my ($func,$xl,$xh)=@components;
 1299:                  if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
 1300:                  if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
 1301:                  $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
 1302:               } else {
 1303: # This is a spline
 1304:                  $result.=&answer_spline_script($internalid,@components);
 1305:               }
 1306:            }
 1307:         }
 1308:      }
 1309:      my $fixed=0;
 1310:      if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
 1311: # Now is the time to render all of the stored splines
 1312:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1313:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
 1314:      }
 1315: # close the init script
 1316:      $result.=&end_init_script();
 1317: # register all splines in this response 
 1318:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
 1319:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
 1320:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
 1321:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
 1322:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
 1323:      }
 1324: # generate the input fields
 1325:      $result.=$Apache::functionplotresponse::inputfields;
 1326: # actually start the <applet>-tag
 1327:      $result.=&geogebra_startcode($internalid);
 1328: # load the spline bytecode
 1329:      $result.=&geogebra_spline_program();
 1330: # set default parameters
 1331:      $result.=&geogebra_default_parameters($internalid);
 1332: # close the <applet>-tag
 1333:      $result.=&geogebra_endcode();
 1334:   }
 1335:   return $result;
 1336: }
 1337: 
 1338: sub boundaries {
 1339:    my ($parstack,$safeeval,$level)=@_;
 1340:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
 1341:    $xmin=(defined($xmin)?$xmin:-10);
 1342:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
 1343:    $xmax=(defined($xmax)?$xmax:10);
 1344:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
 1345:    $ymin=(defined($ymin)?$ymin:-10);
 1346:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
 1347:    $ymax=(defined($ymax)?$ymax:10);
 1348:    if ($xmax<=$xmin) {
 1349:       $xmax=$xmin+20;
 1350:    }
 1351:    if ($ymax<=$ymin) {
 1352:       $ymax=$ymin+20;
 1353:    }
 1354:    return ($xmin,$xmax,$ymin,$ymax);
 1355: }
 1356: 
 1357: sub start_functionplotelements {
 1358:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
 1359:    my $result='';
 1360:    my $id=$Apache::inputtags::response[-1];
 1361:    my $partid=$Apache::inputtags::part;
 1362:    my $internalid = $partid.'_'.$id;
 1363: 
 1364:    if ($target eq 'edit') {
 1365:       return &Apache::edit::start_table($token).
 1366:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
 1367:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
 1368:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
 1369:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
 1370:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
 1371:        .'</span></td>'
 1372:        ."<td>&nbsp;"
 1373:        .&Apache::edit::end_row()
 1374:        .&Apache::edit::start_spanning_row()
 1375:        ."\n";
 1376:    } elsif ($target eq 'web') {
 1377:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
 1378:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1379:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1380:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
 1381:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
 1382:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
 1383: 
 1384: 
 1385: # paste in the update routine to receive stuff back from the applet
 1386:      $result.=&update_script($internalid);
 1387: # start the initscript for this applet
 1388:      $result.=&start_init_script($internalid);
 1389: # put the axis commands inside
 1390:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
 1391:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
 1392: # init script is left open
 1393:   }
 1394:   return $result;
 1395: }
 1396: 
 1397: 1;
 1398: 
 1399: __END__
 1400:  
 1401: =head1 NAME
 1402: 
 1403: Apache::functionplotresponse.pm;
 1404: 
 1405: =head1 SYNOPSIS
 1406: 
 1407: Handles tags associated with accepting function plots.
 1408: 
 1409: This is part of the LearningOnline Network with CAPA project
 1410: described at http://www.lon-capa.org.
 1411: 
 1412: =head1 HANDLER SUBROUTINE
 1413: 
 1414: start_functionplotresponse()
 1415: 
 1416: =head1 OTHER SUBROUTINES
 1417: 
 1418: =over
 1419: 
 1420: =item end_functionplotresponse()
 1421: 
 1422: =back
 1423: 
 1424: =cut

FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>