--- loncom/homework/functionplotresponse.pm 2010/10/17 22:32:19 1.14
+++ loncom/homework/functionplotresponse.pm 2010/10/30 02:31:27 1.18
@@ -1,7 +1,7 @@
# LearningOnline Network with CAPA
# option list style responses
#
-# $Id: functionplotresponse.pm,v 1.14 2010/10/17 22:32:19 www Exp $
+# $Id: functionplotresponse.pm,v 1.18 2010/10/30 02:31:27 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
@@ -453,6 +468,89 @@ 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-$p2);
+}
+
+#
+# Array index calculation
+#
+sub array_index {
+ my ($xmin,$xmax,$x)=@_;
+ my $index=int(($x-$xmin)/($xmax-$xmin)*200.+0.5);
+ return $index;
+}
+
+#
+# Populate the arrays
+#
+
+sub populate_arrays {
+ my ($id,$xmin,$xmax)=@_;
+ for (my $i=0; $i<=200; $i++) {
+ undef $Apache::functionplotresponse::func[$i];
+ undef $Apache::functionplotresponse::dfunddx[$i];
+ undef $Apache::functionplotresponse::d2funcd2x[$i];
+ }
+ unless ($xmax>$xmin) { return; }
+# Run over all splines in response
+ foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
+# Run over all points in spline
+ for (my $i=0; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
+ my $xiold=-1;
+ my $ni=$i+1;
+ my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
+ $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
+ $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
+ $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
+ my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
+ $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
+ $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
+ $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
+
+# Run in small steps over spline parameter
+ for (my $t=0; $t<=1; $t+=0.00025) {
+ my $xi=&array_index($xmin,$xmax,&cubic_hermite($t,@xparms));
+ if ($xi<$xiold-5) { return 'no_func'; }
+ if ($xi>$xiold) {
+ $xiold=$xi;
+ $Apache::functionplotresponse::func[$xi]=&cubic_hermite($t,@yparms);
+ }
+ }
+ }
+ }
+}
+
+#
+# Implentation of <functionplotresponse>
+#
+
sub start_functionplotresponse {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result='';
@@ -476,13 +574,13 @@ sub start_functionplotresponse {
# Parameters of <functionplotresponse>
my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
- $xmin=($xmin?$xmin:-10);
+ $xmin=(defined($xmin)?$xmin:-10);
my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
- $xmax=($xmax?$xmax:10);
+ $xmax=(defined($xmax)?$xmax:10);
my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
- $ymin=($ymin?$ymin:-10);
+ $ymin=(defined($ymin)?$ymin:-10);
my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
- $ymax=($ymax?$ymax:10);
+ $ymax=(defined($ymax)?$ymax:10);
my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$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');
@@ -563,7 +661,16 @@ sub end_functionplotresponse {
#
# Actually grade
#
- my $ad='INCORRECT';
+ my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
+ $xmin=(defined($xmin)?$xmin:-10);
+ my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
+ $xmax=(defined($xmax)?$xmax:10);
+ my $ad;
+ if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
+ $ad='BAD_FORMULA';
+ } else {
+ $ad='INCORRECT';
+ }
#
# Store grading info
#
@@ -576,6 +683,13 @@ 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