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Diff for /loncom/homework/functionplotresponse.pm between versions 1.14 and 1.24

version 1.14, 2010/10/17 22:32:19 version 1.24, 2010/11/06 16:12:39
Line 101  ENDDEFAULTPARAMETERS Line 101  ENDDEFAULTPARAMETERS
 #  #
   
 sub init_script {  sub init_script {
    if ($Apache::functionplotresponse::callscripts) {     if ($#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);        return (<<ENDGGBINIT);
 <script type="text/javascript">  <script type="text/javascript">
 // <![CDATA[  // <![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) {  function ggbOnInit(param) {
 $Apache::functionplotresponse::callscripts  $script
   }
   function ggbInitAll() {
   $calls
 }  }
 // ]]>  // ]]>
 </script>  </script>
Line 194  sub new_coordinate { Line 207  sub new_coordinate {
 #  #
 sub start_init_script {  sub start_init_script {
     my ($id)=@_;      my ($id)=@_;
 # Add a line to ggbOnInit-function which calls the right function based on parameter passed from GeoGebra  # Add id to the list of ggbInit_$id functions that need to be called
     $Apache::functionplotresponse::callscripts.="if (param=='applet_$id') { ggbInit_$id(); }\n";      push(@Apache::functionplotresponse::callscripts,$id);
 # ... and open this function  # ... and open this function
     return (<<ENDSTARTINIT);      return (<<ENDSTARTINIT);
 <script type="text/javascript">  <script type="text/javascript">
 // <![CDATA[  // <![CDATA[
 // variable that will eventually be passed back to the server  // variable that will eventually be passed back to the server
 var coordinateMap_$id = [];  var coordinateMap_$id = [];
   // flag for not loaded yet
   var loaded_$id=false;
 // Init-function for applet  // Init-function for applet
 function ggbInit_$id() {  function ggbInit_$id() {
 ENDSTARTINIT  ENDSTARTINIT
Line 329  sub end_backgroundplot { Line 344  sub end_backgroundplot {
 sub start_splinerule {  sub start_splinerule {
    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;     my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
    my $result='';     my $result='';
    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];     my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
    if ($target eq 'edit') {     $Apache::functionplotresponse::counter++;
         $result=&Apache::edit::tag_start($target,$token,'Spline Evaluation Rule').     if ($label=~/\W/) {
                 &Apache::edit::end_row();        &Apache::lonxml::warning(&mt('Spline 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('Spline Rule indices must be unique.'));
      }
   
   
      if ($target eq 'grade') {
   # Simply remember - in order - for later
         my $beginninglabel=&Apache::lonxml::get_param('beginninglabel',$parstack,$safeeval);
         my $endinglabel=&Apache::lonxml::get_param('endinglabel',$parstack,$safeeval);
         if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
             &Apache::lonxml::warning(&mt('Spline 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('Spline Rule relationship not defined.'));
             $relationship='eq';
         }
         my $derivative=&Apache::lonxml::get_param('derivative',$parstack,$safeeval);
         unless (($derivative==0) || ($derivative==1) || ($derivative==2)) {
            &Apache::lonxml::warning(&mt('Spline Rule derivative not defined.'));
            $derivative=0;
         }
         push(@Apache::functionplotresponse::splinerules,join(':',(
              $label,
              $derivative,
              &Apache::lonxml::get_param('beginningvalue',$parstack,$safeeval),
              $beginninglabel,
              &Apache::lonxml::get_param('endingvalue',$parstack,$safeeval),
              $endinglabel,
              $relationship,
              &Apache::lonxml::get_param('value',$parstack,$safeeval)
             )));
      } elsif ($target eq 'edit') {
         $result=&Apache::edit::tag_start($target,$token,'Spline Evaluation Rule').
                 &Apache::edit::end_row();
    }     }
    return $result;     return $result;
 }  }
Line 348  sub end_splinerule { Line 409  sub end_splinerule {
   
   
 #  #
 # <spline label="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />  # <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  # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
 #  #
Line 356  sub start_spline { Line 417  sub start_spline {
    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;     my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
    my $result='';     my $result='';
    if ($target eq 'web') {     if ($target eq 'web') {
       my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);        my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
       $Apache::functionplotresponse::counter++;        $Apache::functionplotresponse::counter++;
       if ($label=~/\W/) {        if ($label=~/\W/) {
          &Apache::lonxml::warning(&mt('Spline labels should only contain alphanumeric characters.'));           &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
       }        }
       $label=~s/\W//gs;        $label=~s/\W//gs;
       unless ($label) { $label='S'.$Apache::functionplotresponse::counter; }        unless ($label) { 
            $label='S'.$Apache::functionplotresponse::counter; 
         } else {
            $label='S'.$label;
         }
       if ($Apache::functionplotresponse::splineorder{$label}) {        if ($Apache::functionplotresponse::splineorder{$label}) {
          &Apache::lonxml::error(&mt('Spline labels must be unique.'));           &Apache::lonxml::error(&mt('Spline indices must be unique.'));
       }        }
   
       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);        my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
Line 389  sub start_spline { Line 454  sub start_spline {
       $Apache::functionplotresponse::splinescaley{$label}=$sy;        $Apache::functionplotresponse::splinescaley{$label}=$sy;
    } elsif ($target eq 'edit') {     } elsif ($target eq 'edit') {
         $result=&Apache::edit::tag_start($target,$token,'Spline').          $result=&Apache::edit::tag_start($target,$token,'Spline').
              &Apache::edit::text_arg('Label:','label',               &Apache::edit::text_arg('Index:','index',
                                      $token,'4').'&nbsp;'.                                       $token,'4').'&nbsp;'.
              &Apache::edit::select_arg('Order:','order',               &Apache::edit::select_arg('Order:','order',
                                   ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.                                    ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
Line 404  sub start_spline { Line 469  sub start_spline {
              &Apache::edit::end_row();               &Apache::edit::end_row();
   } elsif ($target eq 'modified') {    } elsif ($target eq 'modified') {
     my $constructtag=&Apache::edit::get_new_args($token,$parstack,      my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                                                  $safeeval,'label','order','initx','inity',                                                   $safeeval,'index','order','initx','inity',
                                                            'scalex','scaley');                                                             'scalex','scaley');
     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }      if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
   }    }
Line 453  sub get_answer_from_form_fields { Line 518  sub get_answer_from_form_fields {
    return ($answer,%coords);     return ($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)*200.+0.5);
   }
   
   #
   # Actual x-value of array index
   #
   
   sub index_x {
      my ($xmin,$xmax,$i)=@_;
      return $i*($xmax-$xmin)/200.+$xmin;
   }
   
   #
   # Assume function to be linear between array points
   # Return the two indices and the scale factor
   #
   
   sub indices_scale {
      my ($xmin,$xmax,$x)=@_;
      my $i=&array_index($xmin,$xmax,$x);
      my $xr=&index_x($xmin,$xmax,$i);
      if ($xr<$x) {
   # Desired x is right of array index
         if ($i>=200) { return (200,200,0); }
         return($i,$i+1,200.*($x-$xr)/($xmax-$xmin));
      } elsif ($xr>$x) {
   # Desired x is left of array index
         if ($i<=0) { return (0,0,0); }
         return($i-1,$i,1.-200.*($xr-$x)/($xmax-$xmin));
      } else {
   # Desired x is at array index (unlikely, but ...)
         if ($i>=200) { return (200,200,0); }
         if ($i<=0) { return (0,0,0); }
         return ($i,$i,0);
      }
   }
   
   #
   # Function value
   #
   
   sub func_val {
      my ($xmin,$xmax,$x)=@_;
      my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
      my $fl=$Apache::functionplotresponse::func[$il];
      my $fh=$Apache::functionplotresponse::func[$ih];
      unless (defined($fl) || defined($fh)) { return undef; }
      unless (defined($fl)) { return $fh; }
      unless (defined($fh)) { return $fl; }
      return $fl+$factor*($fh-$fl);
   }
   
   #
   # First derivative
   #
   
   sub dfuncdx_val {
      my ($xmin,$xmax,$x)=@_;
      my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
      my $fl=$Apache::functionplotresponse::dfuncdx[$il];
      my $fh=$Apache::functionplotresponse::dfuncdx[$ih];
      unless (defined($fl) || defined($fh)) { return undef; }
      unless (defined($fl)) { return $fh; }
      unless (defined($fh)) { return $fl; }
      return $fl+$factor*($fh-$fl);
   }
   
   #
   # Second derivative
   #
   
   sub d2funcdx2_val {
      my ($xmin,$xmax,$x)=@_;
      my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
      my $fl=$Apache::functionplotresponse::d2funcdx2[$il];
      my $fh=$Apache::functionplotresponse::d2funcdx2[$ih];
      unless (defined($fl) || defined($fh)) { return undef; }
      unless (defined($fl)) { return $fh; }
      unless (defined($fh)) { return $fl; }
      return $fl+$factor*($fh-$fl);
   }
   
   #
   # Populate the arrays
   #
   
   sub populate_arrays {
       my ($id,$xmin,$xmax)=@_;
       for (my $i=0; $i<=200; $i++) {
          $Apache::functionplotresponse::func[$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+=0.00025) {
                   my $xi=&array_index($xmin,$xmax,&cubic_hermite($t,@xparms));
                   if ($xi<$xiold) { return 'no_func'; }
                   if (($xi>$xiold) && ($xi>=0) && ($xi<=200)) {
                      if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
                      $xiold=$xi;
   # Function value
                      $Apache::functionplotresponse::func[$xi]=&cubic_hermite($t,@yparms);
   # 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;
                      }
   # d^2y/dx^2
                      my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms);
                      if ($d2xdt2) {
                         $Apache::functionplotresponse::d2funcd2x[$xi]=&d2dt2_cubic_hermite($t,@yparms)/$d2xdt2;
                      }
                   }
               }
           }
       }
   }
   
   #
   # 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='';
Line 466  sub start_functionplotresponse { Line 703  sub start_functionplotresponse {
   undef %Apache::functionplotresponse::previous;    undef %Apache::functionplotresponse::previous;
   $Apache::functionplotresponse::inputfields='';    $Apache::functionplotresponse::inputfields='';
   $Apache::functionplotresponse::counter=0;    $Apache::functionplotresponse::counter=0;
   # Remember rules
     undef @Apache::functionplotresponse::splinerules;
 # Part and ID  # Part and ID
   my $partid=$Apache::inputtags::part;    my $partid=$Apache::inputtags::part;
   my $id=&Apache::response::start_response($parstack,$safeeval);    my $id=&Apache::response::start_response($parstack,$safeeval);
Line 476  sub start_functionplotresponse { Line 715  sub start_functionplotresponse {
   
 # Parameters of <functionplotresponse>  # Parameters of <functionplotresponse>
   my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
   $xmin=($xmin?$xmin:-10);    $xmin=(defined($xmin)?$xmin:-10);
   my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
   $xmax=($xmax?$xmax:10);    $xmax=(defined($xmax)?$xmax:10);
   my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
   $ymin=($ymin?$ymin:-10);    $ymin=(defined($ymin)?$ymin:-10);
   my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
   $ymax=($ymax?$ymax:10);    $ymax=(defined($ymax)?$ymax:10);
   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');    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 $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$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 $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
Line 538  sub start_functionplotresponse { Line 777  sub start_functionplotresponse {
   return $result;    return $result;
 }  }
   
   sub splinerulecheck {
      my ($rule)=@_;
      return 0;
   }
   
   
 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;
Line 563  sub end_functionplotresponse { Line 808  sub end_functionplotresponse {
 #  #
 # Actually grade  # Actually grade
 #  #
         my $ad='INCORRECT';          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 $ad='';
           if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
              $ad='NOT_FUNCTION';
           } else {
   # We have a function that we can actually grade, go through the spline rules.
              undef  %Apache::functionplotresponse::splinerulelabels;
              foreach my $rule (@Apache::functionplotresponse::splinerules) {
                 unless (&splinerulecheck($rule)) {
                    $ad='INCORRECT';
                    last;
                 }
              }
   # If it's not wrong, it's correct 
              unless ($ad) { $ad='EXACT_ANS' };
           }
   
 #  #
 # Store grading info  # Store grading info
 #  #
Line 576  sub end_functionplotresponse { Line 840  sub end_functionplotresponse {
      }       }
 # close the init script  # close the init script
      $result.=&end_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  # generate the input fields
      $result.=$Apache::functionplotresponse::inputfields;       $result.=$Apache::functionplotresponse::inputfields;
 # actually start the <applet>-tag  # actually start the <applet>-tag
Removed from v.1.14  
changed lines
  Added in v.1.24

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