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Diff for /loncom/homework/functionplotresponse.pm between versions 1.2 and 1.35

version 1.2, 2010/10/04 14:34:43 version 1.35, 2010/11/12 02:16:20
Line 33  use Apache::lonlocal; Line 33  use Apache::lonlocal;
 use Apache::lonnet;  use Apache::lonnet;
   
 BEGIN {  BEGIN {
   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse'));    &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','functionplotrule'));
 }  }
   
   #
   # There can be a number of applets on a page, each called ggbApplet_$id, 
   # where $id is the "_"-concatenated part and responseid
   #
   
 sub geogebra_startcode {  sub geogebra_startcode {
       my ($id)=@_;
     return (<<ENDSTARTCODE);      return (<<ENDSTARTCODE);
 <applet name="ggbApplet" code="geogebra.GeoGebraApplet" archive="geogebra.jar"  <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
          codebase="/adm/geogebra/"  width="714" height="447" MAYSCRIPT>           codebase="/adm/geogebra/"  width="714" height="447" MAYSCRIPT>
        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>         <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
 ENDSTARTCODE  ENDSTARTCODE
Line 48  sub geogebra_endcode { Line 54  sub geogebra_endcode {
     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";      return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
 }  }
   
   #
   # This is the internal GeoGebra bytecode which defines the spline functions
   #
 sub geogebra_spline_program {  sub geogebra_spline_program {
     return (<<ENDSPLINEPROGRAM);      return (<<ENDSPLINEPROGRAM);
 <param name="ggbBase64" value="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"/>  <param name="ggbBase64" value="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"/>
 ENDSPLINEPROGRAM  ENDSPLINEPROGRAM
 }  }
   
   #
   # The standard set of parameters inside <applet>
   #
 sub geogebra_default_parameters {  sub geogebra_default_parameters {
      my ($id)=@_;
    return(<<ENDDEFAULTPARAMETERS);     return(<<ENDDEFAULTPARAMETERS);
         <param name="image" value="/adm/lonIcons/lonanim.gif"  />          <param name="image" value="/adm/lonIcons/lonanim.gif"  />
         <param name="boxborder" value="false"  />          <param name="boxborder" value="false"  />
Line 76  sub geogebra_default_parameters { Line 89  sub geogebra_default_parameters {
         <param name="enableShiftDragZoom" value="false" />          <param name="enableShiftDragZoom" value="false" />
         <param name="allowRescaling" value="false" />          <param name="allowRescaling" value="false" />
         <param name="enableLabelDrags" value="false" />          <param name="enableLabelDrags" value="false" />
         <param name="ggbOnInitParam" value="applet1" />          <param name="ggbOnInitParam" value="applet_$id" />
 ENDDEFAULTPARAMETERS  ENDDEFAULTPARAMETERS
 }  }
   
   #
   # This subroutine is called by LON-CAPA at </problem>
   # Each applet on the page will call function ggbOnInit when it is done loading
   # This function in turn will call the respective function registered by start_init_script
   # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
   #
   
   sub init_script {
      if ($#Apache::functionplotresponse::callscripts>=0) {
         my $script='';
         foreach my $id (@Apache::functionplotresponse::callscripts) {
             $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
         }
         $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
                  ") { setTimeout('ggbInitAll()',20) }";
         my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
         return (<<ENDGGBINIT);
   <script type="text/javascript">
   // <![CDATA[
   // Function that each applet will call when loaded
   // It will pass "its" parameter
   // Set flags for when an applet is loaded, wait till all are loaded, and then some
   function ggbOnInit(param) {
   $script
   }
   function ggbInitAll() {
   $calls
   }
   // ]]>
   </script>
   ENDGGBINIT
      }
   }
   
   #
   # Each Geogebra applet is supposed to call this when parameters change
   # Changes the hidden fields on the web page
   #
   sub update_script {
       my ($id)=@_;
       return (<<ENDUPDATESCRIPT);
   <script type="text/javascript">
   // <![CDATA[
   function updatePointCoordinates_$id(coordinateName) {
               var x = document.ggbApplet_$id.getXcoord(coordinateName);
               var y = document.ggbApplet_$id.getYcoord(coordinateName);
               document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
               document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
           }
   // ]]>
   </script>
   ENDUPDATESCRIPT
   }
   
   #
   # Register the above update-handler for a variable
   #
   
   sub update_register {
      my ($id,$variable)=@_;
      return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
   }
   
   #
   # Set a coordinate variable
   #
   sub set_coordinate {
      my ($id,$variable,$x,$y)=@_;
      return (<<ENDSETVARIABLE);
   document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
   ENDSETVARIABLE
   }
   
   #
   # Input field name for a coordinate variable
   #
   
   sub field_name {
       my ($id,$variable,$name)=@_;
       return "HWVAL_$id\_$variable\_$name";
   }
   
   #
   # Generate an input field for a coordinate variable
   #
   
   sub generate_input_field {
       my ($id,$variable,$x,$y)=@_;
       $Apache::functionplotresponse::inputfields.=
          "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
          "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
   }
   
   #
   # Initialize a new coordinate variable at set a listener on it
   #
   sub new_coordinate {
       my ($id,$variable,$x,$y)=@_;
       if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
          $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
       }
       if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
          $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
       }
       &generate_input_field($id,$variable,$x,$y);
       return &set_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
   }
   
   #
   # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
   # It then starts the right headers
   #
   sub start_init_script {
       my ($id)=@_;
   # Add id to the list of ggbInit_$id functions that need to be called
       push(@Apache::functionplotresponse::callscripts,$id);
   # ... and open this function
       return (<<ENDSTARTINIT);
   <script type="text/javascript">
   // <![CDATA[
   // variable that will eventually be passed back to the server
   var coordinateMap_$id = [];
   // flag for not loaded yet
   var loaded_$id=false;
   // Init-function for applet
   function ggbInit_$id() {
   ENDSTARTINIT
   }
   
   #
   # This sets the axes inside ggbInit_$id
   #
   
   sub axes_script {
       my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
       return (<<ENDAXESSCRIPT);
               // changes (xmin, xmax, ymin, ymax)
               document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
   
               // makes the (x,y) axis (in)visible
               document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
               // makes the grid (in)visible
               document.ggbApplet_$id.setGridVisible($gvisible);
   ENDAXESSCRIPT
   }
   
   sub axes_label {
       my ($id,$xlabel,$ylabel)=@_;
       unless ($xlabel || $ylabel) { return ''; }
       my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
       if ($xlabel) {
          $return.=(<<ENDXAXISLABELSCRIPT);
   document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
   document.ggbApplet_$id.setVisible("Xlabel",false);
   document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
   ENDXAXISLABELSCRIPT
       }
       if ($ylabel) {
          $return.=(<<ENDYAXISLABELSCRIPT);
   document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
   document.ggbApplet_$id.setVisible("Ylabel",false);
   document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
   ENDYAXISLABELSCRIPT
       }
       return $return;
   }
   
   sub plot_script {
      my ($id,$function,$fixed)=@_;
      if ($fixed) {
   # Use stupid trick to nail this to a location
   # Oddly, it seems like only one plot cannot be nailed to a location
   # Non-nailed-down plots apparently get overwritten
         return (<<ENDPLOTSCRIPT);
               document.ggbApplet_$id.evalCommand("a=1");
               document.ggbApplet_$id.setVisible("a",false);
               // This MUST be a DEPENDENT OBJECT in order to be locked down:
               document.ggbApplet_$id.evalCommand("y=a*($function)");
   ENDPLOTSCRIPT
      } else {
          return "document.ggbApplet_$id.evalCommand('y=$function')";
      }
   }
   
   #
   # Subroutine that generates code for spline $label based on stored information
   #
   
   sub generate_spline {
      my ($id,$label)=@_;
      my $result='';
      my $order=$Apache::functionplotresponse::splineorder{$label};
      my $x=$Apache::functionplotresponse::splineinitx{$label};
      my $y=$Apache::functionplotresponse::splineinity{$label};
      my $sx=$Apache::functionplotresponse::splinescalex{$label};
      my $sy=$Apache::functionplotresponse::splinescaley{$label};
      my @coords=();
      foreach my $i (1..$order) {
          $result.=&new_coordinate($id,$label.'P'.$i,$x,$y);
          $x+=$sx/(2.*($order-1));
          push(@coords,$label.'P'.$i);
          $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy);
          $x+=$sx/(2.*($order-1));
          push(@coords,$label.'S'.$i);
      }
      $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
      return $result;
   }
   #
   # <backgroundplot function="..." fixed="yes/no" />
   #
   sub start_backgroundplot {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
      my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
      my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
    
      unless ($function) { $function="0"; }
      if ($target eq 'web') {
         $result.=&plot_script($internalid,$function,$fixed);
      } elsif ($target eq 'edit') {
           $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
                &Apache::edit::text_arg('Function:','function',
                                        $token,'16').
                &Apache::edit::select_arg('Fixed location:','fixed',
                                     ['yes','no'],$token).
                &Apache::edit::end_row();
     } elsif ($target eq 'modified') {
       my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                                                    $safeeval,'function','fixed');
       if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
     }
     return $result;
   }
   
   sub end_backgroundplot {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      if ($target eq 'edit') {
          $result=&Apache::edit::end_table();
      }
      return $result;
   }
   
   #
   # <functionplotrule ... />
   #
   sub start_functionplotrule {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
      $Apache::functionplotresponse::counter++;
      if ($label=~/\W/) {
         &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
      }
      $label=~s/\W//gs;
      unless ($label) {
         $label='R'.$Apache::functionplotresponse::counter;
      } else {
         $label='R'.$label;
      }
      if ($Apache::functionplotresponse::splineorder{$label}) {
          &Apache::lonxml::error(&mt('Rule indices must be unique.'));
      }
   
   
      if ($target eq 'grade') {
   # Simply remember - in order - for later
         my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
         my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
         if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
             &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
         }
         $beginninglabel=~s/\W//gs;
         $endinglabel=~s/\W//gs;
         my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
         $relationship=~s/\W//gs;
         $relationship=lc($relationship);
         unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
             &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
             $relationship='eq';
         }
         my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
         unless (($derivative==0) || ($derivative==1) || ($derivative==2)) {
            &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
            $derivative=0;
         }
         push(@Apache::functionplotresponse::functionplotrules,join(':',(
              $label,
              $derivative,
              &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
              $beginninglabel,
              &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
              $endinglabel,
              &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
              &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
              $relationship,
              &Apache::lonxml::get_param('value',$parstack,$safeeval),
              &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
             )));
      } elsif ($target eq 'edit') {
           $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
                &Apache::edit::text_arg('Index:','index',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
                                     [['0','Function itself'],
                                      ['1','First derivative'],
                                      ['2','Second derivative']],$token).'<br />'.
                &Apache::edit::text_arg('(Initial) x-value:','xinitial',
                                         $token,'8').
                &Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel',
                                                  [['start','Start of Plot']],$token,'8').'<br />'.
   
                &Apache::edit::text_arg('Optional final x-value for ranges:','xfinal',
                                         $token,'8').
                &Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel',
                                                  [['end','End of Plot']],$token,'8').'<br />'.
                &Apache::edit::text_arg('Optional minimum length for range:','minimumlength',
                                        $token,'8').
                &Apache::edit::text_arg('Optional maximum length for range:','maximumlength',
                                        $token,'8').'<br />'.
                &Apache::edit::select_arg(&mt('Relationship:'),'relationship',
                                     [['eq','equal'],
                                      ['ne','not equal'],
                                      ['ge','greater than or equal'],
                                      ['gt','greater than'],
                                      ['lt','less than'],
                                      ['le','less than or equal']],$token).
                $result.= &Apache::edit::select_or_text_arg('Value:','value',
                                                  [['undef','not defined']],$token,'8').
                &Apache::edit::text_arg('Percent error:','percenterror',
                                        $token,'8').
                &Apache::edit::end_row();
     } elsif ($target eq 'modified') {
       my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                                                    $safeeval,'index','derivativeorder',
                                                              'xinitial','xinitiallabel','xfinal','xfinallabel',
                                                              'minimumlength','maximumlength',
                                                              'relationship','value','percenterror');
       if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
      }
      return $result;
   }
   
   sub end_functionplotrule {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      if ($target eq 'edit') {
          $result=&Apache::edit::end_table();
      }
      return $result;
   }
   
   
   #
   # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
   #
   # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
   #
   sub start_spline {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      if ($target eq 'web') {
         my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
         $Apache::functionplotresponse::counter++;
         if ($label=~/\W/) {
            &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
         }
         $label=~s/\W//gs;
         unless ($label) { 
            $label='S'.$Apache::functionplotresponse::counter; 
         } else {
            $label='S'.$label;
         }
         if ($Apache::functionplotresponse::splineorder{$label}) {
            &Apache::lonxml::error(&mt('Spline indices must be unique.'));
         }
   
         my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
         if ($order<2) { $order=2; }
         if ($order>8) { $order=8; }
         $Apache::functionplotresponse::splineorder{$label}=$order;
   
         my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
         unless ($x) { $x=0; }
         $Apache::functionplotresponse::splineinitx{$label}=$x;
   
         my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
         unless ($y) { $y=0; }
         $Apache::functionplotresponse::splineinity{$label}=$y;
   
         my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
         unless ($sx) { $sx=$order; }
         $Apache::functionplotresponse::splinescalex{$label}=$sx;
   
         my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
         unless ($sy) { $sy=2; }
         $Apache::functionplotresponse::splinescaley{$label}=$sy;
      } elsif ($target eq 'edit') {
           $result=&Apache::edit::tag_start($target,$token,'Spline').
                &Apache::edit::text_arg('Index:','index',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::select_arg('Order:','order',
                                     ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
                &Apache::edit::text_arg('Initial x-value:','initx',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::text_arg('Initial y-value:','inity',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::text_arg('Scale x:','scalex',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::text_arg('Scale y:','scaley',
                                        $token,'4').
                &Apache::edit::end_row();
     } elsif ($target eq 'modified') {
       my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                                                    $safeeval,'index','order','initx','inity',
                                                              'scalex','scaley');
       if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
     }
     return $result;
   }
   
   sub end_spline {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      if ($target eq 'edit') {
          $result=&Apache::edit::end_table();
      }
      return $result;
   }
    
   sub end_init_script {
       return (<<ENDENDINIT);
   }
   // ]]>
   </script>
   ENDENDINIT
   }
   
   #
   # Storing and restoring spline coordinates from part answers
   #
   sub decode_previous_answer {
      my ($answer)=@_;
      foreach my $coordinate (split(/\,/,$answer)) {
         my ($key,$value)=split(/\=/,$coordinate);
         $Apache::functionplotresponse::previous{$key}=$value;
      }
   }
   
   sub get_answer_from_form_fields {
      my ($id)=@_;
      my $answer='';
      my %coords=();
      foreach my $field (keys(%env)) {
         if ($field=~/^form\.HWVAL\_$id/) {
            $field=~/^form\.(.*)$/;
            $coords{$1}=$env{$field};
         }
      }
      $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
      return ($answer,%coords);
   }
   
   #
   # The following functions calculate the cubic-hermite splines server-side
   #
   
   sub cubic_hermite {
      my ($t,$p1,$s1,$p2,$s2)=@_;
      return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
             (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 5.*($t*$t*$t-$t*$t)      *($s2-$p2);
   }
   
   #
   # d/dt(...)
   # 
   
   sub ddt_cubic_hermite {
      my ($t,$p1,$s1,$p2,$s2)=@_;
      return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
             (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t)   *($s2-$p2);
   }
   
   #
   # d^2/dt^2(...)
   #
   
   sub d2dt2_cubic_hermite {
      my ($t,$p1,$s1,$p2,$s2)=@_;
      return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
             (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
   }
   
   #
   # Array index calculation
   #
   sub array_index {
      my ($xmin,$xmax,$x)=@_;
      return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
   }
   
   #
   # Populate the arrays
   #
   
   sub populate_arrays {
       my ($id,$xmin,$xmax)=@_;
       for (my $i=0; $i<=400; $i++) {
          $Apache::functionplotresponse::actualxval[$i]=undef;
          $Apache::functionplotresponse::func[$i]=undef;
          $Apache::functionplotresponse::dfuncdx[$i]=undef;
          $Apache::functionplotresponse::d2funcd2x[$i]=undef;
       }
       unless ($xmax>$xmin) { return 'no_func'; }
   # Run over all splines in response
       foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
           my $xiold=-1;
   # Run over all points in spline
           for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
               my $ni=$i+1;
               my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
                           $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
                           $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
                           $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
               my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
                           $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
                           $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
                           $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
   # Run in small steps over spline parameter
               for (my $t=0; $t<=1; $t+=0.0001) {
                   my $xreal=&cubic_hermite($t,@xparms);
                   my $xi=&array_index($xmin,$xmax,$xreal);
                   if ($xi<$xiold) { return 'no_func'; }
                   if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
                      if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
                      $xiold=$xi;
                      $Apache::functionplotresponse::actualxval[$xi]=$xreal;
   # Function value
                      my $funcval=&cubic_hermite($t,@yparms);
                      $Apache::functionplotresponse::func[$xi]=$funcval;
                      if (defined($funcval)) {
                         if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
                            $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
                         }
                         if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
                            $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
                         }
                      }
   # Chain rule
   # dy/dx=dy/dt/(dx/dt)
                      my $dxdt=&ddt_cubic_hermite($t,@xparms);
                      if ($dxdt) {
                         $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
   # Second derivative
                         $Apache::functionplotresponse::d2funcdx2[$xi]=
                            ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
                            ($dxdt*$dxdt*$dxdt);
                      }
                   }
               }
           }
       }
   }
   
   #
   # Implentation of <functionplotresponse>
   #
   
 sub start_functionplotresponse {  sub start_functionplotresponse {
   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
   my $result='';    my $result='';
   my $id = &Apache::response::start_response($parstack,$safeeval);  # To remember the splines - somehow, they need to come last
   if ($target eq 'web') {    undef %Apache::functionplotresponse::splineorder;
      $result.=&geogebra_startcode();    undef %Apache::functionplotresponse::splineinitx;
      $result.=&geogebra_spline_program();    undef %Apache::functionplotresponse::splineinity;
      $result.=&geogebra_default_parameters();    undef %Apache::functionplotresponse::splinescalex;
     undef %Apache::functionplotresponse::splinescaley;
   # Remember input fields, etc
     undef %Apache::functionplotresponse::previous;
     $Apache::functionplotresponse::inputfields='';
     $Apache::functionplotresponse::counter=0;
   # Remember rules
     undef @Apache::functionplotresponse::functionplotrules;
   # Part and ID
     my $partid=$Apache::inputtags::part;
     my $id=&Apache::response::start_response($parstack,$safeeval);
   # Internal ID to mark the applet and its coordinates
     my $internalid = $partid.'_'.$id;
   # Previous answer
     &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
   
   # Parameters of <functionplotresponse>
     my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
     $xmin=(defined($xmin)?$xmin:-10);
     my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
     $xmax=(defined($xmax)?$xmax:10);
     my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
     $ymin=(defined($ymin)?$ymin:-10);
     my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
     $ymax=(defined($ymax)?$ymax:10);
     if ($xmax<=$xmin) {
        &Apache::lonxml::warning('Maximum x-value needs to be larger than minimum value.');
        $xmax=$xmin+20;
   }    }
     if ($ymax<=$ymin) {
        &Apache::lonxml::warning('Maximum y-value needs to be larger than minimum value.');
        $ymax=$ymin+20;
     }
     my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
     my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
     my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
     my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
     my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
     if ($target eq 'edit') {
       $result.=&Apache::edit::start_table($token)
          .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
          .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
          .&Apache::edit::deletelist($target,$token)
          .'</span></td>'
          ."<td>&nbsp;"
          .&Apache::edit::end_row()
          .&Apache::edit::start_spanning_row()
          ."\n";
       $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
                                        $token,'6').'&nbsp;'.
                &Apache::edit::text_arg('Minimum x-value:','xmin',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::text_arg('Maximum x-value:','xmax',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
                                     ['yes','no'],$token).'<br />'.
                &Apache::edit::text_arg('Label y-axis:','ylabel',
                                        $token,'6').'&nbsp;'.
                &Apache::edit::text_arg('Minimum y-value:','ymin',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::text_arg('Maximum y-value:','ymax',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
                                     ['yes','no'],$token).'<br />'.
                &Apache::edit::select_arg('Grid visible:','gridvisible',
                                     ['yes','no'],$token).
                &Apache::edit::end_row().&Apache::edit::start_spanning_row();
     } elsif ($target eq 'modified') {
       my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                                                    $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
                                                              'xaxisvisible','yaxisvisible','gridvisible');
       if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
   
     } elsif ($target eq 'meta') {
          $result=&Apache::response::meta_package_write('functionplotresponse');
     } elsif ($target eq 'web') {
   # paste in the update routine to receive stuff back from the applet
        $result.=&update_script($internalid);
   # start the initscript for this applet
        $result.=&start_init_script($internalid);
   # put the axis commands inside
        $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
        $result.=&axes_label($internalid,$xlabel,$ylabel);
   # init script is left open
     } elsif (($target eq 'answer') &&
               ($env{'form.answer_output_mode'} ne 'tex') &&
               ($Apache::lonhomework::viewgrades == 'F')) {
         my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
         my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
         my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
                                                  {'only_body' => 1,
                                                   'bgcolor'   => '#FFFFFF',
                                                   'js_ready'  => 1,});
         my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
         $uname =~s/\W//g;
         $udom  =~s/\W//g;
         my $function_name =
                   join('_','LONCAPA_scriptvars',$uname,$udom,
                        $env{'form.counter'},$Apache::lonxml::curdepth);
         my $rules_var ="<script type=\"text/javascript\">
   // <![CDATA[
       function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
       $Apache::functionplotresponse::ruleslog.
       "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
   // ]]>
   </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
               &Apache::lonxml::add_script_result($rules_var);
           }
   
   return $result;    return $result;
 }  }
   
   sub compare_rel {
      my ($relationship,$value,$realval,$tol)=@_;
   # is the real value defined?
      unless (defined($realval)) {
         if ($relationship eq 'eq') {
            if ($value eq 'undef') {
               return 1;
            } else {
               return 0;
            }
         } elsif ($relationship eq 'ne') {
            if ($value eq 'undef') {
               return 0;
            } else {
               return 1;
            }
         } else {
            return 0;
         }
      }
   
   # it is defined.
      if ($relationship eq 'gt') {
         return ($realval>$value);
      } elsif ($relationship eq 'ge') {
         return ($realval>$value-$tol);
      } elsif ($relationship eq 'lt') {
         return ($realval<$value);
      } elsif ($relationship eq 'le') {
         return ($realval<$value+$tol);
      } elsif ($relationship eq 'ne') {
         return (abs($value-$realval)>$tol);
      } else {
         return (abs($value-$realval)<$tol);
      }
      return 0;
   }
   
   sub addlog {
      my ($text)=@_;
      $Apache::functionplotresponse::ruleslog.=$text.'<br />';
   }
   
   sub actualval {
      my ($i,$xmin,$xmax)=@_;
      return $xmin+$i/400.*($xmax-$xmin);
   }
    
   sub functionplotrulecheck {
      my ($rule,$xmin,$xmax,$ymin,$ymax)=@_;
   
      my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
         =split(/\:/,$rule);
      $percent=($percent>0?$percent:5);
      &addlog("=================");
      &addlog("Rule $label for ".('function itself','first derivative','second derivative')[$derivative]." $relationship $value");
      my $li=0;
      my $lh=400;
   
   # Special case: the upper boundary was not defined
   # and needs to be set to the value where
   # the condition is not true anymore => set flag
   
      my $findupper=0;
      if (($xfinal eq '')
       && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
       && ($xfinallabel)) {
          $findupper=1;
      }
   
   # if a hard value is set for the boundaries, it overrides the label
      if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
         $li=&array_index($xmin,$xmax,$xinitial);
         $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
      }
      if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
         $lh=&array_index($xmin,$xmax,$xfinal);
         $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
      }
   # if the label is defined, use it
      if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
         &addlog("Using lower label $xinitiallabel");
         $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
      } else {
         $li=&array_index($xmin,$xmax,$xinitial);
      }
      unless ($findupper) {
         if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
            &addlog("Using upper label $xfinallabel");
            $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
         } else {
            $lh=&array_index($xmin,$xmax,$xfinal);
         }
      }
   # Basic sanity checks
      if ($li<0) { $li=0; }
      if ($lh>400) { $lh=400; }
      if ($li>$lh) {
          $lh=$li;
      }
   
      &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
                               &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
      if ($findupper) {
         &addlog("Looking for label $xfinallabel");
      }
      my $tol=$percent*($ymax-$ymin)/100;
      if ($xmax>$xmin) {
         if ($derivative==2) {
            $tol=4.*$tol/($xmax-$xmin);
         } elsif ($derivative==1) {
            $tol=2.*$tol/($xmax-$xmin);
         }
      }
      for (my $i=$li; $i<=$lh; $i++) {
           my $val;
           if ($derivative==2) {
              $val=$Apache::functionplotresponse::d2funcdx2[$i];
           } elsif ($derivative==1) {
              $val=$Apache::functionplotresponse::dfuncdx[$i];
           } else {
              $val=$Apache::functionplotresponse::func[$i];
           }
           unless (&compare_rel($relationship,$value,$val,$tol)) { 
              &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
              &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
              if (($findupper) && ($i>$li)) {
   # check for minimum and maximum lengths
                 my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
                 if ($minimumlength) {
                    if ($length<$minimumlength) {
                       &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
                       return 0;
                    }
                 }
                 if ($maximumlength) {
                    if ($length>$maximumlength) {
                       &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
                       return 0;
                    }
                 }
                 $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
                 &addlog("Rule $label passed, setting label $xfinallabel");
                 return 1;
              } else {
                 &addlog("Rule $label failed.");
                 return 0; 
              }
           }
      }
      &addlog("Rule $label passed.");
      return 1;
   }
   
 sub end_functionplotresponse {  sub end_functionplotresponse {
   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
   &Apache::response::end_response;    &Apache::response::end_response;
   
   my $result;    my $result;
 #  if ($target eq 'edit') { $result=&Apache::edit::end_table(); }    my $id=$Apache::inputtags::response[-1];
   if ($target eq 'web') {    my $partid=$Apache::inputtags::part;
     my $internalid = $partid.'_'.$id;
   
       if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
       if ($target eq 'grade'
            && &Apache::response::submitted()
            && $Apache::lonhomework::type eq 'exam') {
   
           &Apache::response::scored_response($partid,$id);
   
       } elsif ($target eq 'grade'
            && &Apache::response::submitted()
            && $Apache::lonhomework::type ne 'exam') {
           my ($response,%coords)=&get_answer_from_form_fields($internalid);
           $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
           my %previous=&Apache::response::check_for_previous($response,$partid,$id);
   #
   # Actually grade
   #
           my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
           $xmin=(defined($xmin)?$xmin:-10);
           my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
           $xmax=(defined($xmax)?$xmax:10);
           my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
           $ymin=(defined($ymin)?$ymin:-10);
           my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
           $ymax=(defined($ymax)?$ymax:10);
   
           my $ad='';
           undef  %Apache::functionplotresponse::functionplotrulelabels;
           $Apache::functionplotresponse::ruleslog='';
           $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
           $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
           if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
              $ad='NOT_FUNCTION';
           } else {
              &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
                                           $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
              &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
                                           $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
   
   # We have a function that we can actually grade, go through the spline rules.
              foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
                 unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) {
                    $ad='INCORRECT';
                    last;
                 }
              }
   # If it's not wrong, it's correct 
              unless ($ad) { $ad='EXACT_ANS' };
           }
   
   #
   # Store grading info
   #
           $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
           &Apache::response::handle_previous(\%previous,$ad);
      } elsif ($target eq 'web') {
   # Now is the time to render all of the stored splines
        foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
           $result.=&generate_spline($internalid,$label);
        }
   # close the init script
        $result.=&end_init_script();
   # register all splines in this response 
        $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
                    join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
        foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
           $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
                    $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
        }
   # generate the input fields
        $result.=$Apache::functionplotresponse::inputfields;
   # actually start the <applet>-tag
        $result.=&geogebra_startcode($internalid);
   # load the spline bytecode
        $result.=&geogebra_spline_program();
   # set default parameters
        $result.=&geogebra_default_parameters($internalid);
   # close the <applet>-tag
      $result.=&geogebra_endcode();       $result.=&geogebra_endcode();
   }    }
   return $result;    return $result;
Removed from v.1.2  
changed lines
  Added in v.1.35

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