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Diff for /loncom/homework/functionplotresponse.pm between versions 1.10 and 1.70

version 1.10, 2010/10/09 17:43:25 version 1.70, 2011/11/18 16:39:22
Line 1 Line 1
 # LearningOnline Network with CAPA  # LearningOnline Network with CAPA
 # option list style responses  # Functionplot responses
 #  #
 # $Id$  # $Id$
 #  #
Line 31  use strict; Line 31  use strict;
 use Apache::response();  use Apache::response();
 use Apache::lonlocal;  use Apache::lonlocal;
 use Apache::lonnet;  use Apache::lonnet;
   use Apache::run;
    
 BEGIN {  BEGIN {
   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline'));    &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
                                                               'plotobject','plotvector',
                                                               'functionplotrule','functionplotruleset',
                                                               'functionplotelements'));
 }  }
   
 #  #
Line 45  sub geogebra_startcode { Line 49  sub geogebra_startcode {
     my ($id)=@_;      my ($id)=@_;
     return (<<ENDSTARTCODE);      return (<<ENDSTARTCODE);
 <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"  <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
          codebase="/adm/geogebra/"  width="714" height="447" MAYSCRIPT>           codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>         <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
 ENDSTARTCODE  ENDSTARTCODE
 }  }
Line 59  sub geogebra_endcode { Line 63  sub geogebra_endcode {
 #  #
 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
 }  }
   
Line 72  sub geogebra_default_parameters { Line 76  sub geogebra_default_parameters {
         <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"  />
         <param name="centerimage" value="true"  />          <param name="centerimage" value="true"  />
         <param name="java_arguments" value="-Xmx512m" />   <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" />
         <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_properties.jar" />   <param name="cache_version" value="4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0" />
         <param name="cache_version" value="3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0" />  
         <param name="framePossible" value="false" />          <param name="framePossible" value="false" />
   
         <param name="showResetIcon" value="false" />          <param name="showResetIcon" value="false" />
Line 101  ENDDEFAULTPARAMETERS Line 104  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()',200) }";
         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 144  sub update_register { Line 160  sub update_register {
 }  }
   
 #  #
 # Set a coordinate variable  # Set a point coordinate variable
 #  #
 sub set_coordinate {  sub set_point_coordinate {
    my ($id,$variable,$x,$y)=@_;     my ($id,$variable,$x,$y,$fixed)=@_;
      my $mult=($fixed?'a*':'');
   # Get rid of wild exponents, make sure it's a number
      $x=1.*$x;
      $y=1.*$y;
   # GeoGebra does not understand "E"
      $x=~s/[e|E]/\*10\^/;
      $x=~s/\+//;
      $y=~s/[e|E]/\*10\^/;
      $y=~s/\+//;
    return (<<ENDSETVARIABLE);     return (<<ENDSETVARIABLE);
 document.ggbApplet_$id.evalCommand("$variable=($x,$y)");  document.ggbApplet_$id.evalCommand("a=1");
   document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
   document.ggbApplet_$id.setLabelVisible("$variable",false);
 ENDSETVARIABLE  ENDSETVARIABLE
 }  }
   
 #  #
   # Set a slope coordinate variable
   #
   sub set_slope_coordinate {
      my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
      my $xvariable=$variable.'x';
      my $yvariable=$variable.'y';
      my $domain=$xmax-$xmin;
      my $range=$ymax-$ymin;
      my $xinterval=$domain/100.;
      my $yinterval=$range/200.;
      my $mult=($fixed?'a*':'');
      return (<<ENDSETSVARIABLE);
   document.ggbApplet_$id.evalCommand("a=1");
   document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
   document.ggbApplet_$id.setVisible("$xvariable", false);
   document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
   document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
   document.ggbApplet_$id.setVisible("$yvariable", false);
   document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
   document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
   document.ggbApplet_$id.setLabelVisible("$variable", false);
   ENDSETSVARIABLE
   }
   
   #
 # Input field name for a coordinate variable  # Input field name for a coordinate variable
 #  #
   
Line 174  sub generate_input_field { Line 226  sub generate_input_field {
 }  }
   
 #  #
 # Initialize a new coordinate variable at set a listener on it  # Initialize a new point coordinate variable at set a listener on it
 #  #
 sub new_coordinate {  sub new_point_coordinate {
     my ($id,$variable,$x,$y)=@_;      my ($id,$variable,$x,$y,$fixed)=@_;
     if ($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}) {      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_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
   }
   
   #
   # Initialize a new slope coordinate variable at set a listener on it
   #
   sub new_slope_coordinate {
       my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
   #
   # $variable: name of the slope point
   # $x, $y: coordinates of the slope point
   # $pointname: name of the associated point point
   # $xp $yp: coordinates of the point point
   #
       if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};         $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
     }      }
     if ($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}) {      if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};         $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
     }      }
       if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
          $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
       }
       if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
          $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
       }
   
     &generate_input_field($id,$variable,$x,$y);      &generate_input_field($id,$variable,$x,$y);
     return &set_coordinate($id,$variable,$x,$y).&update_register($id,$variable);      my $xrel=$x-$xp;
       my $yrel=$y-$yp;
       return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
 }  }
   
 #  #
Line 194  sub new_coordinate { Line 276  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 224  sub axes_script { Line 308  sub axes_script {
 ENDAXESSCRIPT  ENDAXESSCRIPT
 }  }
   
   sub axes_label {
       my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
       unless ($xlabel || $ylabel) { return ''; }
       my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
       if ($xlabel) {
         if (($ymin<0) && ($ymax>0)) {
          $return.=(<<ENDXAXISLABELSCRIPT);
   document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
   document.ggbApplet_$id.setVisible("Xlabel",false);
   document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
   ENDXAXISLABELSCRIPT
         } else {
          $return.=(<<ENDXOFFAXISLABEL);
   document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
   document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
   ENDXOFFAXISLABEL
         }
       }
       if ($ylabel) {
         if (($xmin<0) && ($xmax>0)) {
          $return.=(<<ENDYAXISLABELSCRIPT);
   document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
   document.ggbApplet_$id.setVisible("Ylabel",false);
   document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
   ENDYAXISLABELSCRIPT
         } else {
          $return.=(<<ENDYOFFAXISLABEL);
   document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
   document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
   ENDYOFFAXISLABEL
         }
       }
       return $return;
   }
   
   #
   # Subroutine to produce background and answer plots
   #
   
 sub plot_script {  sub plot_script {
    my ($id,$function,$fixed)=@_;     my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
      $label=~s/\W//g;
      if (($label) && ($label!~/^[A-Za-z]/)) {
         $label='C'.$label;
      }
      my $visible=0;
      if ($label) {
         $visible="1";
      } else {
         $Apache::functionplotresponse::counter++;
         $label='C'.$Apache::functionplotresponse::counter;
      }
      my $rc=0;
      my $gc=0;
      my $bc=0;
      if ($color) {
         my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
         $rc=hex($rh);
         $gc=hex($gh);
         $bc=hex($bh);
      }
    if ($fixed) {     if ($fixed) {
 # Use stupid trick to nail this to a location        return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
       return (<<ENDPLOTSCRIPT);               ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
             document.ggbApplet_$id.evalCommand("a=1");               ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
             document.ggbApplet_$id.setVisible("a",false);               ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
             // This MUST be a DEPENDENT OBJECT in order to be locked down:  
             document.ggbApplet_$id.evalCommand("y=a*($function)");  
 ENDPLOTSCRIPT  
    } else {     } else {
        return "document.ggbApplet_$id.evalCommand('y=$function')";         return "document.ggbApplet_$id.evalCommand('y=$function');\n";
    }     }
 }  }
   
 #  #
   # Subroutine to produce objects
   #
   
   sub plotobject_script {
      my ($id,$label,$x,$y)=@_;
      unless ($label) {
         $Apache::functionplotresponse::counter++;
         $label='O'.$Apache::functionplotresponse::counter;
      }
      return "document.ggbApplet_$id.evalCommand('a=1');\n".
             "document.ggbApplet_$id.setVisible('a', false);\n".
             "document.ggbApplet_$id.setLabelVisible('a', false);\n".
             "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n".
             "document.ggbApplet_$id.setVisible('$label', true);\n".
             "document.ggbApplet_$id.setLabelVisible('$label', true);\n";
   }
   
   #
   # Subroutine to produce vectors
   #
   
   sub plotvector_script {
      my ($id,$label,$xs,$ys,$xe,$ye)=@_;
      unless ($label) {
         $Apache::functionplotresponse::counter++;
         $label='V'.$Apache::functionplotresponse::counter;
      }
      return(<<ENDVECTOR);
   document.ggbApplet1.evalCommand("Gravitystart=(20,0)");
   document.ggbApplet1.setVisible("Gravitystart",false);
   document.ggbApplet1.setLabelVisible("Gravitystart",false);
   document.ggbApplet1.evalCommand("Gravityend=(20,-5)");
   document.ggbApplet1.setLabelVisible("Gravityend",false);
   document.ggbApplet1.evalCommand("Gravity=Vector[Gravitystart, Gravityend]");
   document.ggbApplet1.setLabelVisible("Gravity",true);
   document.ggbApplet1.setLineThickness("Gravity",8);
   // Displays the Angle
   document.ggbApplet1.evalCommand("Gravitypoint=(110,y(Gravitystart))"); //The x-value for this should be 2*(xmax-xmin)+xmax;
   document.ggbApplet1.evalCommand("GravityAngle=Angle[Gravitypoint,Gravitystart,Gravityend]");
   document.ggbApplet1.setLabelVisible("GravityAngle",true);
   document.ggbApplet1.setLabelStyle("GravityAngle",VALUE=2);
   // Keeps track of points we care about (This should use the same listener function we use in graph problems)
   //document.ggbApplet1.registerObjectUpdateListener('Gravitystart','updatePointCoordinates');
   //document.ggbApplet1.registerObjectUpdateListener('Gravityend','updatePointCoordinates');
   //document.ggbApplet1.registerObjectUpdateListener('GravityAngle','updatePointCoordinates');
   ENDVECTOR
   }
   
   #
   # Answer spline display
   # 
   # points: x,y,slope_x,slope_y
   
   sub answer_spline_script {
      my ($id,@points)=@_;
      my $order=int(($#points+1)/4);
      if ($order<2) { $order=2; }
      if ($order>8) { $order=8; }
      $Apache::functionplotresponse::counter++;
      my $label='CSpline'.$Apache::functionplotresponse::counter;
      my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
      for (my $i=0;$i<=$#points;$i+=4) {
         $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
      }
      $output=~s/\,$//;
      $output.=']");'."\n";
      for (my $i=2; $i<2*$order; $i+=2) {
          $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
      }
      for (my $i=1; $i<2*$order; $i+=2) {
          $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
      }
   
      return $output;
   }
   
   #
 # Subroutine that generates code for spline $label based on stored information  # Subroutine that generates code for spline $label based on stored information
 #  #
   
 sub generate_spline {  sub generate_spline {
    my ($id,$label)=@_;     my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
    my $result='';     my $result='';
    my $order=$Apache::functionplotresponse::splineorder{$label};     my $order=$Apache::functionplotresponse::splineorder{$label};
    my $x=$Apache::functionplotresponse::splineinitx{$label};     my $x=$Apache::functionplotresponse::splineinitx{$label};
Line 253  sub generate_spline { Line 470  sub generate_spline {
    my $sy=$Apache::functionplotresponse::splinescaley{$label};     my $sy=$Apache::functionplotresponse::splinescaley{$label};
    my @coords=();     my @coords=();
    foreach my $i (1..$order) {     foreach my $i (1..$order) {
        $result.=&new_coordinate($id,$label.'P'.$i,$x,$y);         $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
          my $xp=$x;
        $x+=$sx/(2.*($order-1));         $x+=$sx/(2.*($order-1));
        push(@coords,$label.'P'.$i);         push(@coords,$label.'P'.$i);
        $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy);         $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
        $x+=$sx/(2.*($order-1));         $x+=$sx/(2.*($order-1));
        push(@coords,$label.'S'.$i);         push(@coords,$label.'S'.$i);
    }     }
    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";     $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
    return $result;     return $result;
 }  }
   
   #
   # Object
   #
   
   sub start_plotobject {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
      my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
      my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
      my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
      $label=~s/\W//gs;
      $label=ucfirst($label);
      unless ($label) { $label="NewObject"; }
      if ($target eq 'web') {
         my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
         unless (defined($x)) { $x=$xmin; }
         unless (defined($y)) { $y=$ymin; }
         $result.=&plotobject_script($internalid,$label,$x,$y);
      } elsif ($target eq 'edit') {
           $result=&Apache::edit::tag_start($target,$token,'Plot Object').
                &Apache::edit::text_arg('Label on Plot:','label',
                                        $token,'16').
                &Apache::edit::text_arg('x:','x',
                                        $token,'8').
                &Apache::edit::text_arg('y:','y',
                                        $token,'8').
                &Apache::edit::end_row();
     } elsif ($target eq 'modified') {
       my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
       if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
     }
     return $result;
   }
   
   sub end_plotobject {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      if ($target eq 'edit') {
          $result=&Apache::edit::end_table();
      }
      return $result;
   }
   
   
 #  #
 # <backgroundplot function="..." fixed="yes/no" />  # <backgroundplot function="..." fixed="yes/no" />
 #  #
Line 271  sub start_backgroundplot { Line 535  sub start_backgroundplot {
    my $result='';     my $result='';
    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];     my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);     my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
      my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
      my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
      my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
      my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
      $color=~s/[^a-fA-F0-9]//gs;
      unless (length($color)==6) { $color=''; }
    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);     my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
     
    unless ($function) { $function="0"; }     unless ($function) { $function="0"; }
    if ($target eq 'web') {     if ($target eq 'web') {
       $result.=&plot_script($internalid,$function,$fixed);        my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
         unless (defined($xinitial)) { $xinitial=$xmin; }
         unless (defined($xfinal)) { $xfinal=$xmax; }
         $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
      } elsif ($target eq 'edit') {
           $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
                &Apache::edit::text_arg('Function:','function',
                                        $token,'16').
                &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
                                        $token,'8').
                &Apache::edit::text_arg('Final x-value (optional):','xfinal',
                                        $token,'8').
                &Apache::edit::text_arg('Label on Plot:','label',
                                        $token,'8').
                &Apache::edit::text_arg('Color (hex code):','color',
                                        $token,'8').
                &Apache::edit::select_arg('Fixed location:','fixed',
                                     ['yes','no'],$token).
                &Apache::edit::end_row();
     } elsif ($target eq 'modified') {
       my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                                                    $safeeval,'function','label','xinitial','xfinal','color','fixed');
       if ($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;     return $result;
 }  }
   
 sub end_backgroundplot {  #
    return '';  # <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==-1) || ($derivative==0) || ($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/Name:','index',
                                        $token,'10').'&nbsp;'.
                &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
                                     [['0','Function itself'],
                                      ['1','First derivative'],
                                      ['2','Second derivative'],
                                      ['-1','Integral']],$token).'<br />'.
                &Apache::edit::text_arg('Initial x-value:','xinitial',
                                         $token,'8').
                &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
                                                  [['start','Start of Plot'],
                                                   ['end','End of Plot']],$token,'8').'<br />'.
   
                &Apache::edit::text_arg('Final x-value (optional):','xfinal',
                                         $token,'8').
                &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
                                                  [['end','End of Plot']],$token,'8').'<br />'.
                &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
                                        $token,'8').
                &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
                                        $token,'8').'<br />'.
                &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
                                     [['eq','equal'],
                                      ['ne','not equal'],
                                      ['ge','greater than or equal'],
                                      ['gt','greater than'],
                                      ['lt','less than'],
                                      ['le','less than or equal']],$token).
                $result.= &Apache::edit::select_or_text_arg('Value:','value',
                                                  [['undef','not defined']],$token,'30').
                &Apache::edit::text_arg('Percent error:','percenterror',
                                        $token,'8').
                &Apache::edit::end_row();
     } elsif ($target eq 'modified') {
       if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
          $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
       }
       if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
          $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
       }
       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 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
 #  #
 sub start_spline {  sub start_spline {
    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;     my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);     my $result='';
    $Apache::functionplotresponse::counter++;     if ($target eq 'web') {
    $label=~s/\W//gs;        my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
    unless ($label) { $label='S'.$Apache::functionplotresponse::counter; }        $Apache::functionplotresponse::counter++;
         if ($label=~/\W/) {
    my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);           &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
    if ($order<2) { $order=2; }        }
    if ($order>8) { $order=8; }        $label=~s/\W//gs;
    $Apache::functionplotresponse::splineorder{$label}=$order;        unless ($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 $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);        my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
    unless ($x) { $x=0; }        if ($order<2) { $order=2; }
    $Apache::functionplotresponse::splineinitx{$label}=$x;        if ($order>8) { $order=8; }
         $Apache::functionplotresponse::splineorder{$label}=$order;
    my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);  
    unless ($y) { $y=0; }        my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
    $Apache::functionplotresponse::splineinity{$label}=$y;        unless ($x) { $x=0; }
         $Apache::functionplotresponse::splineinitx{$label}=$x;
    my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);  
    unless ($sx) { $sx=$order; }        my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
    $Apache::functionplotresponse::splinescalex{$label}=$sx;        unless ($y) { $y=0; }
         $Apache::functionplotresponse::splineinity{$label}=$y;
    my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);  
    unless ($sy) { $sy=2; }        my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
    $Apache::functionplotresponse::splinescaley{$label}=$sy;        unless ($sx) { $sx=$order; }
    return '';        $Apache::functionplotresponse::splinescalex{$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',
                                        $token,'4').'&nbsp;'.
                &Apache::edit::select_arg('Order:','order',
                                     ['2','3','4','5','6','7','8'],$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 {  sub end_spline {
    return '';     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 {  sub end_init_script {
Line 356  sub get_answer_from_form_fields { Line 809  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.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
             (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($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) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
             (-6.*$t*$t+6.*$t)*$p2 + 3.*(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.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
             (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
   }
   
   #
   # Array index calculation
   #
   sub array_index {
      my ($xmin,$xmax,$x)=@_;
      if ($x ne '') {
         return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
      } else {
         return undef;
      }
   }
   
   #
   # Populate the arrays
   #
   
   sub populate_arrays {
       my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
       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)) {
                      $xiold=$xi;
                      $Apache::functionplotresponse::actualxval[$xi]=$xreal;
   # Function value
                      my $funcval=&cubic_hermite($t,@yparms);
   
   # Do we already have a value for this point, and is it different from the new one?
                      if ((defined($Apache::functionplotresponse::func[$xi])) &&
                          (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
                          return 'no_func'; 
                      }
   # Okay, remember the new point
                      $Apache::functionplotresponse::func[$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);
                      }
                   }
               }
           }
       }
   }
   
   #
   # Implementation 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 369  sub start_functionplotresponse { Line 938  sub start_functionplotresponse {
   undef %Apache::functionplotresponse::previous;    undef %Apache::functionplotresponse::previous;
   $Apache::functionplotresponse::inputfields='';    $Apache::functionplotresponse::inputfields='';
   $Apache::functionplotresponse::counter=0;    $Apache::functionplotresponse::counter=0;
   # Remember rules
     undef @Apache::functionplotresponse::functionplotrules;
   # Remember failed rules
     if ($target eq 'grade') {
        undef @Apache::functionplotresponse::failedrules;
     }
   # Delete previous awards
     undef $Apache::functionplotresponse::awarddetail;
 # 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,$safeeval);
Line 378  sub start_functionplotresponse { Line 955  sub start_functionplotresponse {
   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});    &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
   
 # Parameters of <functionplotresponse>  # Parameters of <functionplotresponse>
   my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);    my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
   $xmin=($xmin?$xmin:-10);  
   my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);  
   $xmax=($xmax?$xmax:10);  
   my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);  
   $ymin=($ymin?$ymin:-10);  
   my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);  
   $ymax=($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');
     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).'&nbsp;&nbsp;&nbsp;'
          .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
          .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
          .'</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'],$token).'<br />'.
                &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
                                            'answerdisplay',$token,'50').
                &Apache::edit::end_row().&Apache::edit::start_spanning_row();
     } elsif ($target eq 'modified') {
       my $constructtag=&Apache::edit::get_new_args($token,$parstack,
                                                    $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
                                                              'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
       if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
   
     if ($target eq 'meta') {    } elsif ($target eq 'meta') {
        $result=&Apache::response::meta_package_write('functionplotresponse');         $result=&Apache::response::meta_package_write('functionplotresponse');
     } elsif ($target eq 'web') {    } elsif (($target eq 'answer') &&
 # paste in the update routine to receive stuff back from the applet              ($env{'form.answer_output_mode'} ne 'tex') &&
      $result.=&update_script($internalid);              ($Apache::lonhomework::viewgrades == 'F')) {
 # start the initscript for this applet        my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
      $result.=&start_init_script($internalid);        my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
 # put the axis commands inside        my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);                                                 {'only_body' => 1,
 # init script is left open                                                  '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 undefined?
      unless (defined($realval)) {
   # the real value is not defined
         if ($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;
         }
      }
   
   # is the expected value undefined?
      if ($value eq 'undef') {
   # but by now we know that the real value is defined
         return 0;
      }
   
   # both are 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)=@_;
      $text=~s/\'/\\\'/g;
      $Apache::functionplotresponse::ruleslog.=$text.'<br />';
   }
   
   sub actualval {
      my ($i,$xmin,$xmax)=@_;
      return $xmin+$i/400.*($xmax-$xmin);
   }
   
   sub fpr_val {
      my ($arg)=@_;
      return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
                        $Apache::functionplotresponse::fpr_xmin,
                        $Apache::functionplotresponse::fpr_xmax);
   }
   
   sub fpr_f {
      my ($arg)=@_;
      return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
                                                              $Apache::functionplotresponse::fpr_xmax,
                                                              $arg)];
   }
   
   sub fpr_dfdx {
      my ($arg)=@_;
      return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
                                                                 $Apache::functionplotresponse::fpr_xmax,
                                                                 $arg)];
   }
   
   sub fpr_d2fdx2 {
      my ($arg)=@_;
      return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
                                                                   $Apache::functionplotresponse::fpr_xmax,
                                                                   $arg)];
   }
    
   sub functionplotrulecheck {
      my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
   
      my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
         =split(/\:/,$rule);
      $percent=($percent>0?$percent:5);
      &addlog("=================");
      &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
   #
   # Evaluate the value
   #
      if ($value=~/\D/) {
         $Apache::functionplotresponse::fpr_xmin=$xmin;
         $Apache::functionplotresponse::fpr_xmax=$xmax;
         $value=&Apache::run::run($value,$safeeval);
         &addlog("Value evaluated to $value");
      }
   
   #
   # Minimum and maximum lengths of the interval
   #
      if ((defined($minimumlength)) || (defined($maximumlength))) {
         &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
      }
      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>$lh) || (!defined($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);
         } elsif ($derivative==-1) {
            $tol=$tol*($xmax-$xmin)/2.;
         }
      }
      my $integral=0;
      my $binwidth=($xmax-$xmin)/400.;
      if (($derivative<0) && (!$findupper)) {
   # definite integral, calculate over whole length
        &addlog("Calculating definite integral");
        for (my $i=$li; $i<=$lh; $i++) {
           $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
        }
        unless (&compare_rel($relationship,$value,$integral,$tol)) {
           &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
           &addlog("Rule $label failed.");
           my $hintlabel=$label;
           $hintlabel=~s/^R//;
           push(@Apache::functionplotresponse::failedrules,$hintlabel);
           &addlog("Set hint condition $hintlabel");
           return 0;
        } 
      } else {
        for (my $i=$li; $i<=$lh; $i++) {
           my $val;
           if ($derivative==2) {
              $val=$Apache::functionplotresponse::d2funcdx2[$i];
           } elsif ($derivative==1) {
              $val=$Apache::functionplotresponse::dfuncdx[$i];
           } elsif ($derivative==-1) {
              $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
              $val=$integral;      
           } else {
              $val=$Apache::functionplotresponse::func[$i];
           }
           unless (&compare_rel($relationship,$value,$val,$tol)) { 
              &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
              &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
              if (($findupper) && ($i>$li)) {
   # Check lengths
                 unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
   # Successfully found a new label, set it
                 $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
                 &addlog("Rule $label passed, setting label $xfinallabel");
                 return 1;
              } else {
                 &addlog("Rule $label failed.");
                 &setfailed($label);
                 return 0; 
              }
           }
        }
      }
   # Corner case where this makes sense: using start or stop as defined labels
      unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
      &addlog("Rule $label passed.");
      return 1;
   }
   
   #
   # check for minimum and maximum lengths
   #
   
   sub checklength {
       my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
       unless (($minimumlength) || ($maximumlength)) { return 1; }
       my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
       if ($minimumlength) {
          if ($length<$minimumlength) {
             &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
             &setfailed($label);
             return 0;
          }
       }
       if ($maximumlength) {
          if ($length>$maximumlength) {
             &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
             &setfailed($label);
             return 0;
          }
       }
       return 1;
   }
   
   sub setfailed {
      my ($label)=@_;
      my $hintlabel=$label;
      $hintlabel=~s/^R//;
      push(@Apache::functionplotresponse::failedrules,$hintlabel);
      &addlog("Set hint condition $hintlabel");
   }
   
   sub start_functionplotruleset {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      if ($target eq 'edit') {
         return &Apache::edit::start_table($token).
           '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
          .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
          .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
           &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
          .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
          .'</span></td>'
          ."<td>&nbsp;"
          .&Apache::edit::end_row()
          .&Apache::edit::start_spanning_row()
          ."\n";
      }
   }
   
   sub end_functionplotruleset {
       my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
       my $id=$Apache::inputtags::response[-1];
       my $partid=$Apache::inputtags::part;
       my $internalid = $partid.'_'.$id;
   
       if ($target eq 'edit' ) {
           return &Apache::edit::end_table();
       }  elsif ($target eq 'grade'
            && &Apache::response::submitted()
            && $Apache::lonhomework::type ne 'exam') {
   #
   # Actually grade
   #
       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
   
           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,$ymin,$ymax) 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,$safeeval)) {
                    $ad='INCORRECT';
                    last;
                 }
              }
   # If it's not wrong, it's correct 
              unless ($ad) { $ad='EXACT_ANS' };
           }
           &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
           &addlog("Assigned award detail: $ad");
   # Store for later to be assigned at end_functionplotresponse
           $Apache::functionplotresponse::awarddetail=$ad;
        }
   }
   
   
 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 413  sub end_functionplotresponse { Line 1358  sub end_functionplotresponse {
   my $partid=$Apache::inputtags::part;    my $partid=$Apache::inputtags::part;
   my $internalid = $partid.'_'.$id;    my $internalid = $partid.'_'.$id;
   
 #  if ($target eq 'edit') { $result=&Apache::edit::end_table(); }      if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
     if ($target eq 'grade'      if ($target eq 'grade'
          && &Apache::response::submitted()           && &Apache::response::submitted()
          && $Apache::lonhomework::type eq 'exam') {           && $Apache::lonhomework::type eq 'exam') {
   
         #&Apache::response::scored_response($partid,$id);          &Apache::response::scored_response($partid,$id);
   
     } elsif ($target eq 'grade'      } elsif ($target eq 'grade'
          && &Apache::response::submitted()           && &Apache::response::submitted()
          && $Apache::lonhomework::type ne 'exam') {           && $Apache::lonhomework::type ne 'exam') {
         my ($response,%coords)=&get_answer_from_form_fields($internalid);          my ($response,%coords)=&get_answer_from_form_fields($internalid);
         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;          $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}='INCORRECT';          my %previous=&Apache::response::check_for_previous($response,$partid,$id);
   #
   # Assign grade
   #
           my $ad=$Apache::functionplotresponse::awarddetail;
   #
   # Store grading info
   #
           $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
           &Apache::response::handle_previous(\%previous,$ad);
    } elsif ($target eq 'web') {     } elsif ($target eq 'web') {
           undef @Apache::functionplotresponse::failedrules;
      }
      return $result;
   }
   
   sub end_functionplotelements {
     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
     my $result='';
     my $id=$Apache::inputtags::response[-1];
     my $partid=$Apache::inputtags::part;
     my $internalid = $partid.'_'.$id;
     if ($target eq 'edit' ) {
        $result=&Apache::edit::end_table();
     } elsif ($target eq 'web') {
        my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
   
   # Are we in show answer mode?
        my $showanswer=&Apache::response::show_answer();
        if ($showanswer) {
   # Render answerdisplay
           my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
           if ($answerdisplay=~/\S/s) {
              foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
                 my @components=split(/\s*\:\s*/,$plot);
                 if ($#components<3) {
   # Just a simple plot
                    my ($func,$xl,$xh)=@components;
                    if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
                    if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
                    $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
                 } else {
   # This is a spline
                    $result.=&answer_spline_script($internalid,@components);
                 }
              }
           }
        }
        my $fixed=0;
        if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
 # Now is the time to render all of the stored splines  # Now is the time to render all of the stored splines
      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {       foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
         $result.=&generate_spline($internalid,$label);          $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
      }       }
 # 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
Line 447  sub end_functionplotresponse { Line 1446  sub end_functionplotresponse {
   }    }
   return $result;    return $result;
 }  }
   
   sub boundaries {
      my ($parstack,$safeeval,$level)=@_;
      my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
      $xmin=(defined($xmin)?$xmin:-10);
      my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
      $xmax=(defined($xmax)?$xmax:10);
      my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
      $ymin=(defined($ymin)?$ymin:-10);
      my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
      $ymax=(defined($ymax)?$ymax:10);
      if ($xmax<=$xmin) {
         $xmax=$xmin+20;
      }
      if ($ymax<=$ymin) {
         $ymax=$ymin+20;
      }
      return ($xmin,$xmax,$ymin,$ymax);
   }
   
   sub start_functionplotelements {
      my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
      my $result='';
      my $id=$Apache::inputtags::response[-1];
      my $partid=$Apache::inputtags::part;
      my $internalid = $partid.'_'.$id;
   
      if ($target eq 'edit') {
         return &Apache::edit::start_table($token).
           '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
          .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
          .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
           &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
          .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
          .'</span></td>'
          ."<td>&nbsp;"
          .&Apache::edit::end_row()
          .&Apache::edit::start_spanning_row()
          ."\n";
      } elsif ($target eq 'web') {
         my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
         my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
         my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
         my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
         my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
         my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
   
   
   # 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,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
   # init script is left open
     }
     return $result;
   }
   
 1;  1;
   
Removed from v.1.10  
changed lines
  Added in v.1.70

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