# LearningOnline Network with CAPA
# option list style responses
#
# $Id: functionplotresponse.pm,v 1.23 2010/11/06 14:37:24 www Exp $
#
# Copyright Michigan State University Board of Trustees
#
# This file is part of the LearningOnline Network with CAPA (LON-CAPA).
#
# LON-CAPA is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# LON-CAPA is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with LON-CAPA; if not, write to the Free Software
# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#
# /home/httpd/html/adm/gpl.txt
#
# http://www.lon-capa.org/
#
package Apache::functionplotresponse;
use strict;
use Apache::response();
use Apache::lonlocal;
use Apache::lonnet;
BEGIN {
&Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','splinerule'));
}
#
# There can be a number of applets on a page, each called ggbApplet_$id,
# where $id is the "_"-concatenated part and responseid
#
sub geogebra_startcode {
my ($id)=@_;
return (<<ENDSTARTCODE);
<applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
codebase="/adm/geogebra/" width="714" height="447" MAYSCRIPT>
<param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
ENDSTARTCODE
}
sub geogebra_endcode {
return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
}
#
# This is the internal GeoGebra bytecode which defines the spline functions
#
sub geogebra_spline_program {
return (<<ENDSPLINEPROGRAM);
<param name="ggbBase64" value="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"/>
ENDSPLINEPROGRAM
}
#
# The standard set of parameters inside <applet>
#
sub geogebra_default_parameters {
my ($id)=@_;
return(<<ENDDEFAULTPARAMETERS);
<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="framePossible" value="false" />
<param name="showResetIcon" value="false" />
<param name="showAnimationButton" value="false" />
<param name="enableRightClick" value="false" />
<param name="errorDialogsActive" value="true" />
<param name="enableLabelDrags" value="false" />
<param name="showMenuBar" value="false" />
<param name="showToolBar" value="false" />
<param name="showToolBarHelp" value="false" />
<param name="showAlgebraInput" value="false" />
<param name="enableShiftDragZoom" value="false" />
<param name="allowRescaling" value="false" />
<param name="enableLabelDrags" value="false" />
<param name="ggbOnInitParam" value="applet_$id" />
ENDDEFAULTPARAMETERS
}
#
# This subroutine is called by LON-CAPA at </problem>
# Each applet on the page will call function ggbOnInit when it is done loading
# This function in turn will call the respective function registered by start_init_script
# Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
#
sub init_script {
if ($#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) {
$script
}
function ggbInitAll() {
$calls
}
// ]]>
</script>
ENDGGBINIT
}
}
#
# Each Geogebra applet is supposed to call this when parameters change
# Changes the hidden fields on the web page
#
sub update_script {
my ($id)=@_;
return (<<ENDUPDATESCRIPT);
<script type="text/javascript">
// <![CDATA[
function updatePointCoordinates_$id(coordinateName) {
var x = document.ggbApplet_$id.getXcoord(coordinateName);
var y = document.ggbApplet_$id.getYcoord(coordinateName);
document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
}
// ]]>
</script>
ENDUPDATESCRIPT
}
#
# Register the above update-handler for a variable
#
sub update_register {
my ($id,$variable)=@_;
return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
}
#
# Set a coordinate variable
#
sub set_coordinate {
my ($id,$variable,$x,$y)=@_;
return (<<ENDSETVARIABLE);
document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
ENDSETVARIABLE
}
#
# Input field name for a coordinate variable
#
sub field_name {
my ($id,$variable,$name)=@_;
return "HWVAL_$id\_$variable\_$name";
}
#
# Generate an input field for a coordinate variable
#
sub generate_input_field {
my ($id,$variable,$x,$y)=@_;
$Apache::functionplotresponse::inputfields.=
"<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
"<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
}
#
# Initialize a new coordinate variable at set a listener on it
#
sub new_coordinate {
my ($id,$variable,$x,$y)=@_;
if (defined($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_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
}
#
# This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
# It then starts the right headers
#
sub start_init_script {
my ($id)=@_;
# Add id to the list of ggbInit_$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
}
#
# This sets the axes inside ggbInit_$id
#
sub axes_script {
my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
return (<<ENDAXESSCRIPT);
// changes (xmin, xmax, ymin, ymax)
document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
// makes the (x,y) axis (in)visible
document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
// makes the grid (in)visible
document.ggbApplet_$id.setGridVisible($gvisible);
ENDAXESSCRIPT
}
sub axes_label {
my ($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_$id.setVisible("a",false);
// This MUST be a DEPENDENT OBJECT in order to be locked down:
document.ggbApplet_$id.evalCommand("y=a*($function)");
ENDPLOTSCRIPT
} else {
return "document.ggbApplet_$id.evalCommand('y=$function')";
}
}
#
# Subroutine that generates code for spline $label based on stored information
#
sub generate_spline {
my ($id,$label)=@_;
my $result='';
my $order=$Apache::functionplotresponse::splineorder{$label};
my $x=$Apache::functionplotresponse::splineinitx{$label};
my $y=$Apache::functionplotresponse::splineinity{$label};
my $sx=$Apache::functionplotresponse::splinescalex{$label};
my $sy=$Apache::functionplotresponse::splinescaley{$label};
my @coords=();
foreach my $i (1..$order) {
$result.=&new_coordinate($id,$label.'P'.$i,$x,$y);
$x+=$sx/(2.*($order-1));
push(@coords,$label.'P'.$i);
$result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy);
$x+=$sx/(2.*($order-1));
push(@coords,$label.'S'.$i);
}
$result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
return $result;
}
#
# <backgroundplot function="..." fixed="yes/no" />
#
sub start_backgroundplot {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result='';
my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
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);
} elsif ($target eq 'edit') {
$result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
&Apache::edit::text_arg('Function:','function',
$token,'16').
&Apache::edit::select_arg('Fixed location:','fixed',
['yes','no'],$token).
&Apache::edit::end_row();
} elsif ($target eq 'modified') {
my $constructtag=&Apache::edit::get_new_args($token,$parstack,
$safeeval,'function','fixed');
if ($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 $result;
}
#
# <splinerule ... />
#
sub start_splinerule {
my ($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();
}
return $result;
}
sub end_splinerule {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result='';
if ($target eq 'edit') {
$result=&Apache::edit::end_table();
}
return $result;
}
#
# <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
#
# Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
#
sub start_spline {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result='';
if ($target eq 'web') {
my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
$Apache::functionplotresponse::counter++;
if ($label=~/\W/) {
&Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
}
$label=~s/\W//gs;
unless ($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 $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
if ($order<2) { $order=2; }
if ($order>8) { $order=8; }
$Apache::functionplotresponse::splineorder{$label}=$order;
my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
unless ($x) { $x=0; }
$Apache::functionplotresponse::splineinitx{$label}=$x;
my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
unless ($y) { $y=0; }
$Apache::functionplotresponse::splineinity{$label}=$y;
my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
unless ($sx) { $sx=$order; }
$Apache::functionplotresponse::splinescalex{$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',
$token,'4').' '.
&Apache::edit::select_arg('Order:','order',
['2','3','4','5','6','7','8','9'],$token).' '.
&Apache::edit::text_arg('Initial x-value:','initx',
$token,'4').' '.
&Apache::edit::text_arg('Initial y-value:','inity',
$token,'4').' '.
&Apache::edit::text_arg('Scale x:','scalex',
$token,'4').' '.
&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 $result;
}
sub end_spline {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result='';
if ($target eq 'edit') {
$result=&Apache::edit::end_table();
}
return $result;
}
sub end_init_script {
return (<<ENDENDINIT);
}
// ]]>
</script>
ENDENDINIT
}
#
# Storing and restoring spline coordinates from part answers
#
sub decode_previous_answer {
my ($answer)=@_;
foreach my $coordinate (split(/\,/,$answer)) {
my ($key,$value)=split(/\=/,$coordinate);
$Apache::functionplotresponse::previous{$key}=$value;
}
}
sub get_answer_from_form_fields {
my ($id)=@_;
my $answer='';
my %coords=();
foreach my $field (keys(%env)) {
if ($field=~/^form\.HWVAL\_$id/) {
$field=~/^form\.(.*)$/;
$coords{$1}=$env{$field};
}
}
$answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
return ($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.)*$p1 + 5.*($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,$x)=@_;
return int(($x-$xmin)/($xmax-$xmin)*200.+0.5);
}
#
# Actual x-value of array index
#
sub index_x {
my ($xmin,$xmax,$i)=@_;
return $i*($xmax-$xmin)/200.+$xmin;
}
#
# Assume function to be linear between array points
# Return the two indices and the scale factor
#
sub indices_scale {
my ($xmin,$xmax,$x)=@_;
my $i=&array_index($xmin,$xmax,$x);
my $xr=&index_x($xmin,$xmax,$i);
if ($xr<$x) {
# Desired x is right of array index
if ($i>=200) { return (200,200,0); }
return($i,$i+1,200.*($x-$xr)/($xmax-$xmin));
} elsif ($xr>$x) {
# Desired x is left of array index
if ($i<=0) { return (0,0,0); }
return($i-1,$i,1.-200.*($xr-$x)/($xmax-$xmin));
} else {
# Desired x is at array index (unlikely, but ...)
if ($i>=200) { return (200,200,0); }
if ($i<=0) { return (0,0,0); }
return ($i,$i,0);
}
}
#
# Function value
#
sub func_val {
my ($xmin,$xmax,$x)=@_;
my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
my $fl=$Apache::functionplotresponse::func[$il];
my $fh=$Apache::functionplotresponse::func[$ih];
unless (defined($fl) || defined($fh)) { return undef; }
unless (defined($fl)) { return $fh; }
unless (defined($fh)) { return $fl; }
return $fl+$factor*($fh-$fl);
}
#
# First derivative
#
sub dfuncdx_val {
my ($xmin,$xmax,$x)=@_;
my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
my $fl=$Apache::functionplotresponse::dfuncdx[$il];
my $fh=$Apache::functionplotresponse::dfuncdx[$ih];
unless (defined($fl) || defined($fh)) { return undef; }
unless (defined($fl)) { return $fh; }
unless (defined($fh)) { return $fl; }
return $fl+$factor*($fh-$fl);
}
#
# Second derivative
#
sub d2funcdx2_val {
my ($xmin,$xmax,$x)=@_;
my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
my $fl=$Apache::functionplotresponse::d2funcdx2[$il];
my $fh=$Apache::functionplotresponse::d2funcdx2[$ih];
unless (defined($fl) || defined($fh)) { return undef; }
unless (defined($fl)) { return $fh; }
unless (defined($fh)) { return $fl; }
return $fl+$factor*($fh-$fl);
}
#
# Populate the arrays
#
sub populate_arrays {
my ($id,$xmin,$xmax)=@_;
for (my $i=0; $i<=200; $i++) {
$Apache::functionplotresponse::func[$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+=0.00025) {
my $xi=&array_index($xmin,$xmax,&cubic_hermite($t,@xparms));
if ($xi<$xiold) { return 'no_func'; }
if (($xi>$xiold) && ($xi>=0) && ($xi<=200)) {
if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
$xiold=$xi;
# Function value
$Apache::functionplotresponse::func[$xi]=&cubic_hermite($t,@yparms);
# 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;
}
# d^2y/dx^2
my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms);
if ($d2xdt2) {
$Apache::functionplotresponse::d2funcd2x[$xi]=&d2dt2_cubic_hermite($t,@yparms)/$d2xdt2;
}
}
}
}
}
}
#
# Implentation of <functionplotresponse>
#
sub start_functionplotresponse {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
my $result='';
# To remember the splines - somehow, they need to come last
undef %Apache::functionplotresponse::splineorder;
undef %Apache::functionplotresponse::splineinitx;
undef %Apache::functionplotresponse::splineinity;
undef %Apache::functionplotresponse::splinescalex;
undef %Apache::functionplotresponse::splinescaley;
# Remember input fields, etc
undef %Apache::functionplotresponse::previous;
$Apache::functionplotresponse::inputfields='';
$Apache::functionplotresponse::counter=0;
# Part and ID
my $partid=$Apache::inputtags::part;
my $id=&Apache::response::start_response($parstack,$safeeval);
# Internal ID to mark the applet and its coordinates
my $internalid = $partid.'_'.$id;
# Previous answer
&decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
# Parameters of <functionplotresponse>
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 $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
$ymin=(defined($ymin)?$ymin:-10);
my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
$ymax=(defined($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');
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)
.'</span></td>'
."<td> "
.&Apache::edit::end_row()
.&Apache::edit::start_spanning_row()
."\n";
$result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
$token,'6').' '.
&Apache::edit::text_arg('Minimum x-value:','xmin',
$token,'4').' '.
&Apache::edit::text_arg('Maximum x-value:','xmax',
$token,'4').' '.
&Apache::edit::select_arg('x-axis visible:','xaxisvisible',
['yes','no'],$token).' '.
&Apache::edit::text_arg('Label y-axis:','ylabel',
$token,'6').' '.
&Apache::edit::text_arg('Minimum y-value:','ymin',
$token,'4').' '.
&Apache::edit::text_arg('Maximum y-value:','ymax',
$token,'4').' '.
&Apache::edit::select_arg('y-axis visible:','yaxisvisible',
['yes','no'],$token).' '.
&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,
$safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
'xaxisvisible','yaxisvisible','gridvisible');
if ($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
}
return $result;
}
sub end_functionplotresponse {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
&Apache::response::end_response;
my $result;
my $id=$Apache::inputtags::response[-1];
my $partid=$Apache::inputtags::part;
my $internalid = $partid.'_'.$id;
if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
if ($target eq 'grade'
&& &Apache::response::submitted()
&& $Apache::lonhomework::type eq 'exam') {
#&Apache::response::scored_response($partid,$id);
} elsif ($target eq 'grade'
&& &Apache::response::submitted()
&& $Apache::lonhomework::type ne 'exam') {
my ($response,%coords)=&get_answer_from_form_fields($internalid);
$Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
my %previous=&Apache::response::check_for_previous($response,$partid,$id);
#
# Actually grade
#
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='NOT_FUNCTION';
} else {
$ad='INCORRECT';
}
#
# Store grading info
#
$Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
&Apache::response::handle_previous(\%previous,$ad);
} elsif ($target eq 'web') {
# Now is the time to render all of the stored splines
foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
$result.=&generate_spline($internalid,$label);
}
# 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
$result.=&geogebra_startcode($internalid);
# load the spline bytecode
$result.=&geogebra_spline_program();
# set default parameters
$result.=&geogebra_default_parameters($internalid);
# close the <applet>-tag
$result.=&geogebra_endcode();
}
return $result;
}
1;
__END__
=head1 NAME
Apache::functionplotresponse.pm;
=head1 SYNOPSIS
Handles tags associated with accepting function plots.
This is part of the LearningOnline Network with CAPA project
described at http://www.lon-capa.org.
=head1 HANDLER SUBROUTINE
start_functionplotresponse()
=head1 OTHER SUBROUTINES
=over
=item end_functionplotresponse()
=back
=cut
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