--- loncom/homework/functionplotresponse.pm	2010/10/10 00:14:15	1.13
+++ loncom/homework/functionplotresponse.pm	2010/10/29 19:18:48	1.17
@@ -1,7 +1,7 @@
 # LearningOnline Network with CAPA
 # option list style responses
 #
-# $Id: functionplotresponse.pm,v 1.13 2010/10/10 00:14:15 www Exp $
+# $Id: functionplotresponse.pm,v 1.17 2010/10/29 19:18:48 www Exp $
 #
 # Copyright Michigan State University Board of Trustees
 #
@@ -101,12 +101,25 @@ 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()',20) }";
+      my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
       return (<<ENDGGBINIT);
 <script type="text/javascript">
 // <![CDATA[
+// Function that each applet will call when loaded
+// It will pass "its" parameter
+// Set flags for when an applet is loaded, wait till all are loaded, and then some
 function ggbOnInit(param) {
-$Apache::functionplotresponse::callscripts
+$script
+}
+function ggbInitAll() {
+$calls
 }
 // ]]>
 </script>
@@ -194,14 +207,16 @@ sub new_coordinate {
 #
 sub start_init_script {
     my ($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
@@ -224,10 +239,33 @@ sub axes_script {
 ENDAXESSCRIPT
 }
 
+sub axes_label {
+    my ($id,$xlabel,$ylabel)=@_;
+    unless ($xlabel || $ylabel) { return ''; }
+    my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
+    if ($xlabel) {
+       $return.=(<<ENDXAXISLABELSCRIPT);
+document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
+document.ggbApplet_$id.setVisible("Xlabel",false);
+document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
+ENDXAXISLABELSCRIPT
+    }
+    if ($ylabel) {
+       $return.=(<<ENDYAXISLABELSCRIPT);
+document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
+document.ggbApplet_$id.setVisible("Ylabel",false);
+document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
+ENDYAXISLABELSCRIPT
+    }
+    return $return;
+}
+
 sub plot_script {
    my ($id,$function,$fixed)=@_;
    if ($fixed) {
 # Use stupid trick to nail this to a location
+# Oddly, it seems like only one plot cannot be nailed to a location
+# Non-nailed-down plots apparently get overwritten
       return (<<ENDPLOTSCRIPT);
             document.ggbApplet_$id.evalCommand("a=1");
             document.ggbApplet_$id.setVisible("a",false);
@@ -367,15 +405,15 @@ sub start_spline {
    } elsif ($target eq 'edit') {
         $result=&Apache::edit::tag_start($target,$token,'Spline').
              &Apache::edit::text_arg('Label:','label',
-                                     $token,'4').
+                                     $token,'4').'&nbsp;'.
              &Apache::edit::select_arg('Order:','order',
-                                  ['2','3','4','5','6','7','8','9'],$token).
+                                  ['2','3','4','5','6','7','8','9'],$token).'&nbsp;'.
              &Apache::edit::text_arg('Initial x-value:','initx',
-                                     $token,'4').
+                                     $token,'4').'&nbsp;'.
              &Apache::edit::text_arg('Initial y-value:','inity',
-                                     $token,'4').
+                                     $token,'4').'&nbsp;'.
              &Apache::edit::text_arg('Scale x:','scalex',
-                                     $token,'4').
+                                     $token,'4').'&nbsp;'.
              &Apache::edit::text_arg('Scale y:','scaley',
                                      $token,'4').
              &Apache::edit::end_row();
@@ -430,6 +468,40 @@ sub get_answer_from_form_fields {
    return ($answer,%coords);
 }
 
+#
+# The following functions calculate the cubic-hermite splines server-side
+#
+
+sub cubic_hermite {
+   my ($t,$p1,$s1,$p2,$s2)=@_;
+   return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
+          (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 5.*($t*$t*$t-$t*$t)      *($s2-$p2);
+}
+
+#
+# d/dt(...)
+# 
+
+sub ddt_cubic_hermite {
+   my ($t,$p1,$s1,$p2,$s2)=@_;
+   return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
+          (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t)   *($s2-$p2);
+}
+
+#
+# d^2/dt^2(...)
+#
+
+sub d2dt2_cubic_hermite {
+   my ($t,$p1,$s1,$p2,$s2)=@_;
+   return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
+          (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
+}
+
+#
+# Implentation of <functionplotresponse>
+#
+
 sub start_functionplotresponse {
   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
   my $result='';
@@ -463,6 +535,8 @@ sub start_functionplotresponse {
   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
+  my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
+  my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
   if ($target eq 'edit') {
     $result.=&Apache::edit::start_table($token)
        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
@@ -473,24 +547,28 @@ sub start_functionplotresponse {
        .&Apache::edit::end_row()
        .&Apache::edit::start_spanning_row()
        ."\n";
-    $result.=&Apache::edit::text_arg('Minimum x-value:','xmin',
-                                     $token,'4').
+    $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').
+                                     $token,'4').'&nbsp;'.
              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
-                                  ['yes','no'],$token).
+                                  ['yes','no'],$token).'&nbsp;&nbsp;'.
+             &Apache::edit::text_arg('Label y-axis:','ylabel',
+                                     $token,'6').'&nbsp;'.
              &Apache::edit::text_arg('Minimum y-value:','ymin',
-                                     $token,'4').
+                                     $token,'4').'&nbsp;'.
              &Apache::edit::text_arg('Maximum y-value:','ymax',
-                                     $token,'4').
+                                     $token,'4').'&nbsp;'.
              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
-                                  ['yes','no'],$token).
+                                  ['yes','no'],$token).'&nbsp;&nbsp;'.
              &Apache::edit::select_arg('Grid visible:','gridvisible',
                                   ['yes','no'],$token).
              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
   } elsif ($target eq 'modified') {
     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
-                                                 $safeeval,'xmin','xmax','ymin','ymax',
+                                                 $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
                                                            'xaxisvisible','yaxisvisible','gridvisible');
     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
 
@@ -503,6 +581,7 @@ sub start_functionplotresponse {
      $result.=&start_init_script($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
   }
   return $result;
@@ -546,6 +625,13 @@ sub end_functionplotresponse {
      }
 # 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