--- loncom/homework/functionplotresponse.pm	2011/03/31 16:10:07	1.57
+++ 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 1.57 2011/03/31 16:10:07 www Exp $
+# $Id: functionplotresponse.pm,v 1.67 2011/10/19 00:20:28 www Exp $
 #
 # Copyright Michigan State University Board of Trustees
 #
@@ -31,6 +31,7 @@ use strict;
 use Apache::response();
 use Apache::lonlocal;
 use Apache::lonnet;
+use Apache::run;
  
 BEGIN {
   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
@@ -74,8 +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="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" />
-	<param name="cache_version" value="3.9.214.0, 3.9.214.0, 3.9.214.0, 3.9.214.0, 3.9.214.0, 3.9.214.0, 3.9.214.0, 3.9.214.0, 3.9.214.0, 3.9.214.0, 3.9.214.0" />
+	<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" />
@@ -333,6 +334,10 @@ ENDYOFFAXISLABEL
     return $return;
 }
 
+#
+# Subroutine to produce background and answer plots
+#
+
 sub plot_script {
    my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
    $label=~s/\W//g;
@@ -366,6 +371,34 @@ sub plot_script {
 }
 
 #
+# 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
 #
 
@@ -531,7 +564,7 @@ sub start_functionplotrule {
                                    ['lt','less than'],
                                    ['le','less than or equal']],$token).
              $result.= &Apache::edit::select_or_text_arg('Value:','value',
-                                               [['undef','not defined']],$token,'8').
+                                               [['undef','not defined']],$token,'30').
              &Apache::edit::text_arg('Percent error:','percenterror',
                                      $token,'8').
              &Apache::edit::end_row();
@@ -719,7 +752,7 @@ sub array_index {
 #
 
 sub populate_arrays {
-    my ($id,$xmin,$xmax)=@_;
+    my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
     for (my $i=0; $i<=400; $i++) {
        $Apache::functionplotresponse::actualxval[$i]=undef;
        $Apache::functionplotresponse::func[$i]=undef;
@@ -747,12 +780,19 @@ sub populate_arrays {
                 my $xi=&array_index($xmin,$xmax,$xreal);
                 if ($xi<$xiold) { return 'no_func'; }
                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
-                   if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
                    $xiold=$xi;
                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
 # Function value
                    my $funcval=&cubic_hermite($t,@yparms);
+
+# 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;
@@ -847,9 +887,8 @@ sub start_functionplotresponse {
                                   ['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:xmin:xmax,function:xmin:xmax,...):',
-                                         'answerdisplay',$token,'50');
-
+             &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
+                                         'answerdisplay',$token,'50').
              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
   } elsif ($target eq 'modified') {
     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
@@ -934,6 +973,7 @@ sub compare_rel {
 
 sub addlog {
    my ($text)=@_;
+   $text=~s/\'/\\\'/g;
    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
 }
 
@@ -941,15 +981,56 @@ 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,$ymax)=@_;
+   my ($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");
    }
@@ -1138,7 +1219,7 @@ sub end_functionplotruleset {
         $Apache::functionplotresponse::ruleslog='';
         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
-        if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
+        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 ".
@@ -1148,7 +1229,7 @@ sub end_functionplotruleset {
 
 # 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)) {
+              unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
                  $ad='INCORRECT';
                  last;
               }
@@ -1219,10 +1300,17 @@ sub end_functionplotelements {
         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
         if ($answerdisplay=~/\S/s) {
            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
-              my ($func,$xl,$xh)=split(/\s*\:\s*/,$plot);
-              if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
-              if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
-              $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
+              my @components=split(/\s*\:\s*/,$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);
+              }
            }
         }
      }