--- loncom/homework/functionplotresponse.pm	2010/10/19 02:04:27	1.15
+++ loncom/homework/functionplotresponse.pm	2011/10/19 00:20:28	1.67
@@ -1,7 +1,7 @@
 # LearningOnline Network with CAPA
 # option list style responses
 #
-# $Id: functionplotresponse.pm,v 1.15 2010/10/19 02:04:27 www Exp $
+# $Id: functionplotresponse.pm,v 1.67 2011/10/19 00:20:28 www Exp $
 #
 # Copyright Michigan State University Board of Trustees
 #
@@ -31,9 +31,12 @@ use strict;
 use Apache::response();
 use Apache::lonlocal;
 use Apache::lonnet;
-
+use Apache::run;
+ 
 BEGIN {
-  &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','splinerule'));
+  &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
+                                                            'functionplotrule','functionplotruleset',
+                                                            'functionplotelements'));
 }
 
 #
@@ -45,7 +48,7 @@ sub geogebra_startcode {
     my ($id)=@_;
     return (<<ENDSTARTCODE);
 <applet name="ggbApplet_$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"/>
 ENDSTARTCODE
 }
@@ -59,7 +62,7 @@ sub geogebra_endcode {
 #
 sub geogebra_spline_program {
     return (<<ENDSPLINEPROGRAM);
-<param name="ggbBase64" value="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"/>
+<param name="ggbBase64" value="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"/>
 ENDSPLINEPROGRAM
 }
 
@@ -72,9 +75,8 @@ sub geogebra_default_parameters {
         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
         <param name="boxborder" value="false"  />
         <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_properties.jar" />
-        <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="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_version" value="3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0" />
         <param name="framePossible" value="false" />
 
         <param name="showResetIcon" value="false" />
@@ -101,12 +103,25 @@ ENDDEFAULTPARAMETERS
 #
 
 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);
 <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) {
-$Apache::functionplotresponse::callscripts
+$script
+}
+function ggbInitAll() {
+$calls
 }
 // ]]>
 </script>
@@ -144,16 +159,44 @@ sub update_register {
 }
 
 #
-# Set a coordinate variable
+# Set a point coordinate variable
 #
-sub set_coordinate {
-   my ($id,$variable,$x,$y)=@_;
+sub set_point_coordinate {
+   my ($id,$variable,$x,$y,$fixed)=@_;
+   my $mult=($fixed?'a*':'');
    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
 }
 
 #
+# 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
 #
 
@@ -174,10 +217,10 @@ 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 {
-    my ($id,$variable,$x,$y)=@_;
+sub new_point_coordinate {
+    my ($id,$variable,$x,$y,$fixed)=@_;
     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
     }
@@ -185,7 +228,37 @@ sub new_coordinate {
        $y=$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);
+    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')};
+    }
+    if (defined($Apache::functionplotresponse::previous{&field_name($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);
+    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);
 }
 
 #
@@ -194,14 +267,16 @@ sub new_coordinate {
 #
 sub start_init_script {
     my ($id)=@_;
-# Add a line to ggbOnInit-function which calls the right function based on parameter passed from GeoGebra
-    $Apache::functionplotresponse::callscripts.="if (param=='applet_$id') { ggbInit_$id(); }\n";
+# Add id to the list of ggbInit_$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
@@ -225,49 +300,110 @@ ENDAXESSCRIPT
 }
 
 sub axes_label {
-    my ($id,$xlabel,$ylabel)=@_;
+    my ($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 {
-   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 ($fixed) {
-# Use stupid trick to nail this to a location
-# Oddly, it seems like only one plot cannot be nailed to a location
-# Non-nailed-down plots apparently get overwritten
-      return (<<ENDPLOTSCRIPT);
-            document.ggbApplet_$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*($function)");
-ENDPLOTSCRIPT
+      return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
+             ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
+             ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
+             ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
    } else {
-       return "document.ggbApplet_$id.evalCommand('y=$function')";
+       return "document.ggbApplet_$id.evalCommand('y=$function');\n";
    }
 }
 
 #
+# 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
 #
 
 sub generate_spline {
-   my ($id,$label)=@_;
+   my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
    my $result='';
    my $order=$Apache::functionplotresponse::splineorder{$label};
    my $x=$Apache::functionplotresponse::splineinitx{$label};
@@ -276,10 +412,11 @@ sub generate_spline {
    my $sy=$Apache::functionplotresponse::splinescaley{$label};
    my @coords=();
    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.*($order-1));
        push(@coords,$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.*($order-1));
        push(@coords,$label.'S'.$i);
    }
@@ -294,21 +431,38 @@ sub start_backgroundplot {
    my $result='';
    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
    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);
  
    unless ($function) { $function="0"; }
    if ($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','fixed');
+                                                 $safeeval,'function','label','xinitial','xfinal','color','fixed');
     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
   }
   return $result;
@@ -324,20 +478,114 @@ sub end_backgroundplot {
 }
 
 #
-# <splinerule ... />
+# <functionplotrule ... />
 #
-sub start_splinerule {
+sub start_functionplotrule {
    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
    my $result='';
-   my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
-   if ($target eq 'edit') {
-        $result=&Apache::edit::tag_start($target,$token,'Spline Evaluation Rule').
-                &Apache::edit::end_row();
+   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_splinerule {
+sub end_functionplotrule {
    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
    my $result='';
    if ($target eq 'edit') {
@@ -348,7 +596,7 @@ 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
 #
@@ -356,15 +604,19 @@ sub start_spline {
    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
    my $result='';
    if ($target eq 'web') {
-      my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
+      my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
       $Apache::functionplotresponse::counter++;
       if ($label=~/\W/) {
-         &Apache::lonxml::warning(&mt('Spline labels should only contain alphanumeric characters.'));
+         &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
       }
       $label=~s/\W//gs;
-      unless ($label) { $label='S'.$Apache::functionplotresponse::counter; }
+      unless ($label) { 
+         $label='S'.$Apache::functionplotresponse::counter; 
+      } else {
+         $label='S'.$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);
@@ -389,10 +641,10 @@ sub start_spline {
       $Apache::functionplotresponse::splinescaley{$label}=$sy;
    } elsif ($target eq 'edit') {
         $result=&Apache::edit::tag_start($target,$token,'Spline').
-             &Apache::edit::text_arg('Label:','label',
+             &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;'.
+                                  ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
              &Apache::edit::text_arg('Initial x-value:','initx',
                                      $token,'4').'&nbsp;'.
              &Apache::edit::text_arg('Initial y-value:','inity',
@@ -404,7 +656,7 @@ sub start_spline {
              &Apache::edit::end_row();
   } elsif ($target eq 'modified') {
     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
-                                                 $safeeval,'label','order','initx','inity',
+                                                 $safeeval,'index','order','initx','inity',
                                                            'scalex','scaley');
     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
   }
@@ -459,8 +711,8 @@ sub get_answer_from_form_fields {
 
 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);
+   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);
 }
 
 #
@@ -469,8 +721,8 @@ sub cubic_hermite {
 
 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-$p2);
+   return (6.*$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);
 }
 
 #
@@ -479,12 +731,94 @@ sub ddt_cubic_hermite {
 
 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-$p2);
+   return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
+          (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
 }
 
 #
-# Implentation of <functionplotresponse>
+# 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 {
@@ -500,6 +834,14 @@ sub start_functionplotresponse {
   undef %Apache::functionplotresponse::previous;
   $Apache::functionplotresponse::inputfields='';
   $Apache::functionplotresponse::counter=0;
+# Remember rules
+  undef @Apache::functionplotresponse::functionplotrules;
+# Remember failed rules
+  if ($target eq 'grade') {
+     undef @Apache::functionplotresponse::failedrules;
+  }
+# Delete previous awards
+  undef $Apache::functionplotresponse::awarddetail;
 # Part and ID
   my $partid=$Apache::inputtags::part;
   my $id=&Apache::response::start_response($parstack,$safeeval);
@@ -509,14 +851,7 @@ sub start_functionplotresponse {
   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
 
 # Parameters of <functionplotresponse>
-  my $xmin=&Apache::lonxml::get_param('xmin',$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?$ymax:10);
+  my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
   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');
@@ -526,7 +861,9 @@ sub start_functionplotresponse {
     $result.=&Apache::edit::start_table($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)
+       .&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()
@@ -539,7 +876,7 @@ sub start_functionplotresponse {
              &Apache::edit::text_arg('Maximum x-value:','xmax',
                                      $token,'4').'&nbsp;'.
              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
-                                  ['yes','no'],$token).'&nbsp;&nbsp;'.
+                                  ['yes','no'],$token).'<br />'.
              &Apache::edit::text_arg('Label y-axis:','ylabel',
                                      $token,'6').'&nbsp;'.
              &Apache::edit::text_arg('Minimum y-value:','ymin',
@@ -547,31 +884,367 @@ sub start_functionplotresponse {
              &Apache::edit::text_arg('Maximum y-value:','ymax',
                                      $token,'4').'&nbsp;'.
              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
-                                  ['yes','no'],$token).'&nbsp;&nbsp;'.
+                                  ['yes','no'],$token).'<br />'.
              &Apache::edit::select_arg('Grid visible:','gridvisible',
-                                  ['yes','no'],$token).
+                                  ['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,
                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
-                                                           'xaxisvisible','yaxisvisible','gridvisible');
+                                                           'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
     if ($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;
 }
 
+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 {
   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
   &Apache::response::end_response;
@@ -586,7 +1259,7 @@ sub end_functionplotresponse {
          && &Apache::response::submitted()
          && $Apache::lonhomework::type eq 'exam') {
 
-        #&Apache::response::scored_response($partid,$id);
+        &Apache::response::scored_response($partid,$id);
 
     } elsif ($target eq 'grade'
          && &Apache::response::submitted()
@@ -595,21 +1268,67 @@ sub end_functionplotresponse {
         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
 #
-# Actually grade
+# Assign grade
 #
-        my $ad='INCORRECT';
+        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') {
+        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
      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
      $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
@@ -623,6 +1342,65 @@ sub end_functionplotresponse {
   }
   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;