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version 1.32, 2010/11/10 22:53:32	version 1.40, 2010/11/19 17:20:44
Line 31 use strict;	Line 31 use strict;
use Apache::response();	use Apache::response();
use Apache::lonlocal;	use Apache::lonlocal;
use Apache::lonnet;	use Apache::lonnet;

BEGIN {	BEGIN {
&Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','functionplotrule'));	&Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
	'functionplotrule','functionplotruleset',
	'functionplotelements'));
}	}

#	#
Line 45 sub geogebra_startcode {	Line 47 sub geogebra_startcode {
my ($id)=@_;	my ($id)=@_;
return (<<ENDSTARTCODE);	return (<<ENDSTARTCODE);
<applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"	<applet name="ggbApplet_$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"/>	<param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
ENDSTARTCODE	ENDSTARTCODE
}	}
Line 72 sub geogebra_default_parameters {	Line 74 sub geogebra_default_parameters {
<param name="image" value="/adm/lonIcons/lonanim.gif" />	<param name="image" value="/adm/lonIcons/lonanim.gif" />
<param name="boxborder" value="false" />	<param name="boxborder" value="false" />
<param name="centerimage" value="true" />	<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_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" />
<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="3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0" />
<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="framePossible" value="false" />

<param name="showResetIcon" value="false" />	<param name="showResetIcon" value="false" />
Line 157 sub update_register {	Line 158 sub update_register {
}	}

#	#
# Set a coordinate variable	# Set a point coordinate variable
#	#
sub set_coordinate {	sub set_point_coordinate {
my ($id,$variable,$x,$y)=@_;	my ($id,$variable,$x,$y)=@_;
return (<<ENDSETVARIABLE);	return (<<ENDSETVARIABLE);
document.ggbApplet_$id.evalCommand("$variable=($x,$y)");	document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
	document.ggbApplet_$id.setLabelVisible("$variable",false);
ENDSETVARIABLE	ENDSETVARIABLE
}	}

#	#
	# Set a slope coordinate variable
	#
	sub set_slope_coordinate {
	my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname)=@_;
	my $xvariable=$variable.'x';
	my $yvariable=$variable.'y';
	my $domain=$xmax-$xmin;
	my $range=$ymax-$ymin;
	my $xinterval=$domain/100.;
	my $yinterval=$range/200.;
	return (<<ENDSETSVARIABLE);
	document.ggbApplet_$id.evalCommand("$xvariable=Slider[0,$domain,$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("$variable=($xvariable+x($pointname),$yvariable+y($pointname))");
	document.ggbApplet_$id.setLabelVisible("$variable", false);
	ENDSETSVARIABLE
	}

	#
# Input field name for a coordinate variable	# Input field name for a coordinate variable
#	#

Line 187 sub generate_input_field {	Line 212 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 {	sub new_point_coordinate {
my ($id,$variable,$x,$y)=@_;	my ($id,$variable,$x,$y)=@_;
if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {	if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
$x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};	$x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
Line 198 sub new_coordinate {	Line 223 sub new_coordinate {
$y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};	$y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
}	}
&generate_input_field($id,$variable,$x,$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).&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)=@_;
	#
	# $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).&update_register($id,$variable);
}	}

#	#
Line 282 ENDPLOTSCRIPT	Line 337 ENDPLOTSCRIPT
#	#

sub generate_spline {	sub generate_spline {
my ($id,$label)=@_;	my ($id,$label,$xmin,$xmax,$ymin,$ymax)=@_;
my $result='';	my $result='';
my $order=$Apache::functionplotresponse::splineorder{$label};	my $order=$Apache::functionplotresponse::splineorder{$label};
my $x=$Apache::functionplotresponse::splineinitx{$label};	my $x=$Apache::functionplotresponse::splineinitx{$label};
Line 291 sub generate_spline {	Line 346 sub generate_spline {
my $sy=$Apache::functionplotresponse::splinescaley{$label};	my $sy=$Apache::functionplotresponse::splinescaley{$label};
my @coords=();	my @coords=();
foreach my $i (1..$order) {	foreach my $i (1..$order) {
$result.=&new_coordinate($id,$label.'P'.$i,$x,$y);	$result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y);
	my $xp=$x;
$x+=$sx/(2.*($order-1));	$x+=$sx/(2.*($order-1));
push(@coords,$label.'P'.$i);	push(@coords,$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);
$x+=$sx/(2.*($order-1));	$x+=$sx/(2.*($order-1));
push(@coords,$label.'S'.$i);	push(@coords,$label.'S'.$i);
}	}
Line 376 sub start_functionplotrule {	Line 432 sub start_functionplotrule {
&Apache::lonxml::warning(&mt('Rule relationship not defined.'));	&Apache::lonxml::warning(&mt('Rule relationship not defined.'));
$relationship='eq';	$relationship='eq';
}	}
my $derivative=&Apache::lonxml::get_param('derivative',$parstack,$safeeval);	my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
unless (($derivative==0) \|\| ($derivative==1) \|\| ($derivative==2)) {	unless (($derivative==0) \|\| ($derivative==1) \|\| ($derivative==2)) {
&Apache::lonxml::warning(&mt('Rule derivative not defined.'));	&Apache::lonxml::warning(&mt('Rule derivative not defined.'));
$derivative=0;	$derivative=0;
Line 388 sub start_functionplotrule {	Line 444 sub start_functionplotrule {
$beginninglabel,	$beginninglabel,
&Apache::lonxml::get_param('xfinal',$parstack,$safeeval),	&Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
$endinglabel,	$endinglabel,
	&Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
	&Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
$relationship,	$relationship,
&Apache::lonxml::get_param('value',$parstack,$safeeval)	&Apache::lonxml::get_param('value',$parstack,$safeeval),
	&Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
)));	)));
} elsif ($target eq 'edit') {	} elsif ($target eq 'edit') {
$result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').	$result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
&Apache::edit::text_arg('Index:','index',	&Apache::edit::text_arg('Index/Name:','index',
$token,'4').' '.	$token,'10').' '.
&Apache::edit::select_arg(&mt('Function:'),'derivative',	&Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
[['0','Function itself'],	[['0','Function itself'],
['1','First derivative'],	['1','First derivative'],
['2','Second derivative']],$token).'<br />'.	['2','Second derivative']],$token).'<br />'.

&Apache::edit::text_arg('(Initial) x-value:','xinitial',	&Apache::edit::text_arg('(Initial) x-value:','xinitial',
$token,'4').	$token,'8').
&Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel',	&Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel',
[['start','Start of Plot']],$token,'8').'<br />'.	[['start','Start of Plot']],$token,'8').'<br />'.

&Apache::edit::text_arg('Optional final x-value for ranges:','xfinal',	&Apache::edit::text_arg('Optional final x-value for ranges:','xfinal',
$token,'4').	$token,'8').
&Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel',	&Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel',
[['end','End of Plot']],$token,'8').'<br />'.	[['end','End of Plot']],$token,'8').'<br />'.
	&Apache::edit::text_arg('Optional minimum length for range:','minimumlength',
&Apache::edit::select_arg(&mt('Relationship:'),'relationship',	$token,'8').
	&Apache::edit::text_arg('Optional maximum length for range:','maximumlength',
	$token,'8').'<br />'.
	&Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
[['eq','equal'],	[['eq','equal'],
['ne','not equal'],	['ne','not equal'],
['ge','greater than or equal'],	['ge','greater than or equal'],
Line 418 sub start_functionplotrule {	Line 479 sub start_functionplotrule {
['lt','less than'],	['lt','less than'],
['le','less than or equal']],$token).	['le','less than or equal']],$token).
$result.= &Apache::edit::select_or_text_arg('Value:','value',	$result.= &Apache::edit::select_or_text_arg('Value:','value',
[['undef','not defined']],$token,'4').	[['undef','not defined']],$token,'8').
&Apache::edit::text_arg('Percent error:','percenterror',	&Apache::edit::text_arg('Percent error:','percenterror',
$token,'4').	$token,'8').
&Apache::edit::end_row();	&Apache::edit::end_row();
} elsif ($target eq 'modified') {	} elsif ($target eq 'modified') {
my $constructtag=&Apache::edit::get_new_args($token,$parstack,	my $constructtag=&Apache::edit::get_new_args($token,$parstack,
$safeeval,'index','derivative','xinitial','xinitiallabel','xfinal','xfinallabel','relationship',	$safeeval,'index','derivativeorder',
'value','percenterror');	'xinitial','xinitiallabel','xfinal','xfinallabel',
	'minimumlength','maximumlength',
	'relationship','value','percenterror');
if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }	if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
}	}
return $result;	return $result;
Line 586 sub d2dt2_cubic_hermite {	Line 649 sub d2dt2_cubic_hermite {
#	#
sub array_index {	sub array_index {
my ($xmin,$xmax,$x)=@_;	my ($xmin,$xmax,$x)=@_;
return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);	if ($x ne '') {
	return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
	} else {
	return undef;
	}
}	}

#	#
Line 596 sub array_index {	Line 663 sub array_index {
sub populate_arrays {	sub populate_arrays {
my ($id,$xmin,$xmax)=@_;	my ($id,$xmin,$xmax)=@_;
for (my $i=0; $i<=400; $i++) {	for (my $i=0; $i<=400; $i++) {
	$Apache::functionplotresponse::actualxval[$i]=undef;
$Apache::functionplotresponse::func[$i]=undef;	$Apache::functionplotresponse::func[$i]=undef;
$Apache::functionplotresponse::dfuncdx[$i]=undef;	$Apache::functionplotresponse::dfuncdx[$i]=undef;
$Apache::functionplotresponse::d2funcd2x[$i]=undef;	$Apache::functionplotresponse::d2funcd2x[$i]=undef;
Line 617 sub populate_arrays {	Line 685 sub populate_arrays {
$env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});	$env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
# Run in small steps over spline parameter	# Run in small steps over spline parameter
for (my $t=0; $t<=1; $t+=0.0001) {	for (my $t=0; $t<=1; $t+=0.0001) {
my $xi=&array_index($xmin,$xmax,&cubic_hermite($t,@xparms));	my $xreal=&cubic_hermite($t,@xparms);
	my $xi=&array_index($xmin,$xmax,$xreal);
if ($xi<$xiold) { return 'no_func'; }	if ($xi<$xiold) { return 'no_func'; }
if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {	if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }	if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
$xiold=$xi;	$xiold=$xi;
	$Apache::functionplotresponse::actualxval[$xi]=$xreal;
# Function value	# Function value
my $funcval=&cubic_hermite($t,@yparms);	my $funcval=&cubic_hermite($t,@yparms);
$Apache::functionplotresponse::func[$xi]=$funcval;	$Apache::functionplotresponse::func[$xi]=$funcval;
Line 638 sub populate_arrays {	Line 708 sub populate_arrays {
my $dxdt=&ddt_cubic_hermite($t,@xparms);	my $dxdt=&ddt_cubic_hermite($t,@xparms);
if ($dxdt) {	if ($dxdt) {
$Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;	$Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
}	# Second derivative
# Faa di Bruno
# d^2y/dx^2=(d^2y/dt^2)/(dx/dt)^2+(dy/dt)/(d^2x/dt^2)
my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms);
if (($dxdt) && ($d2xdt2)) {
$Apache::functionplotresponse::d2funcdx2[$xi]=	$Apache::functionplotresponse::d2funcdx2[$xi]=
&d2dt2_cubic_hermite($t,@yparms)/($dxdt*$dxdt)	($dxdt&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)&d2dt2_cubic_hermite($t,@xparms))/
+&ddt_cubic_hermite($t,@yparms)/$d2xdt2;	($dxdt$dxdt$dxdt);
}	}
}	}
}	}
Line 654 sub populate_arrays {	Line 720 sub populate_arrays {
}	}

#	#
# Implentation of <functionplotresponse>	# Implementation of <functionplotresponse>
#	#

sub start_functionplotresponse {	sub start_functionplotresponse {
Line 672 sub start_functionplotresponse {	Line 738 sub start_functionplotresponse {
$Apache::functionplotresponse::counter=0;	$Apache::functionplotresponse::counter=0;
# Remember rules	# Remember rules
undef @Apache::functionplotresponse::functionplotrules;	undef @Apache::functionplotresponse::functionplotrules;
	# Remember failed rules
	if ($target eq 'grade') {
	undef @Apache::functionplotresponse::failedrules;
	}
	# Delete previous awards
	undef $Apache::functionplotresponse::awarddetail;
# Part and ID	# Part and ID
my $partid=$Apache::inputtags::part;	my $partid=$Apache::inputtags::part;
my $id=&Apache::response::start_response($parstack,$safeeval);	my $id=&Apache::response::start_response($parstack,$safeeval);
Line 706 sub start_functionplotresponse {	Line 778 sub start_functionplotresponse {
$result.=&Apache::edit::start_table($token)	$result.=&Apache::edit::start_table($token)
.'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'	.'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
.'<td><span class="LC_nobreak">'.&mt('Delete?').' '	.'<td><span class="LC_nobreak">'.&mt('Delete?').' '
.&Apache::edit::deletelist($target,$token)	.&Apache::edit::deletelist($target,$token).'   '
	.&Apache::edit::insertlist($target,$token)
.'</span></td>'	.'</span></td>'
."<td> "	."<td> "
.&Apache::edit::end_row()	.&Apache::edit::end_row()
Line 739 sub start_functionplotresponse {	Line 812 sub start_functionplotresponse {

} elsif ($target eq 'meta') {	} elsif ($target eq 'meta') {
$result=&Apache::response::meta_package_write('functionplotresponse');	$result=&Apache::response::meta_package_write('functionplotresponse');
} elsif ($target eq 'web') {	} elsif (($target eq 'answer') &&
# paste in the update routine to receive stuff back from the applet	($env{'form.answer_output_mode'} ne 'tex') &&
$result.=&update_script($internalid);	($Apache::lonhomework::viewgrades == 'F')) {
# start the initscript for this applet	my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
$result.=&start_init_script($internalid);	my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
# put the axis commands inside	my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
$result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);	{'only_body' => 1,
$result.=&axes_label($internalid,$xlabel,$ylabel);	'bgcolor' => '#FFFFFF',
# init script is left open	'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;	return $result;
}	}

sub compare_rel {	sub compare_rel {
my ($relationship,$value,$realval,$tol)=@_;	my ($relationship,$value,$realval,$tol)=@_;
# is the real value defined?	# is the real value undefined?
unless (defined($realval)) {	unless (defined($realval)) {
	# the real value is not defined
if ($relationship eq 'eq') {	if ($relationship eq 'eq') {
if ($value eq 'undef') {	if ($value eq 'undef') {
return 1;	return 1;
Line 773 sub compare_rel {	Line 862 sub compare_rel {
}	}
}	}

# it is defined.	# 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 ($relationship eq 'gt') {	if ($relationship eq 'gt') {
return ($realval>$value);	return ($realval>$value);
} elsif ($relationship eq 'ge') {	} elsif ($relationship eq 'ge') {
Line 790 sub compare_rel {	Line 885 sub compare_rel {
return 0;	return 0;
}	}

	sub addlog {
	my ($text)=@_;
	$Apache::functionplotresponse::ruleslog.=$text.'<br />';
	}

	sub actualval {
	my ($i,$xmin,$xmax)=@_;
	return $xmin+$i/400.*($xmax-$xmin);
	}

sub functionplotrulecheck {	sub functionplotrulecheck {
my ($rule,$xmin,$xmax,$tolfunc,$toldfdx,$told2fdx2)=@_;	my ($rule,$xmin,$xmax,$ymin,$ymax)=@_;
# &Apache::lonnet::logthis("Rule $rule TolFunc $tolfunc TolDfDx $toldfdx TolD2fDx2 $told2fdx2");
my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$relationship,$value)
=split(/\:/,$rule);

	my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
	=split(/\:/,$rule);
	$percent=($percent>0?$percent:5);
	&addlog("=================");
	&addlog("Rule $label for ".('function itself','first derivative','second derivative')[$derivative]." $relationship $value");
my $li=0;	my $li=0;
my $lh=400;	my $lh=400;

Line 821 sub functionplotrulecheck {	Line 928 sub functionplotrulecheck {
}	}
# if the label is defined, use it	# if the label is defined, use it
if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {	if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
	&addlog("Using lower label $xinitiallabel");
$li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};	$li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
} else {	} else {
$li=&array_index($xmin,$xmax,$xinitial);	$li=&array_index($xmin,$xmax,$xinitial);
}	}
unless ($findupper) {	unless ($findupper) {
if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {	if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
$lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel};	&addlog("Using upper label $xfinallabel");
	$lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
} else {	} else {
$lh=&array_index($xmin,$xmax,$xfinal);	$lh=&array_index($xmin,$xmax,$xfinal);
}	}
Line 835 sub functionplotrulecheck {	Line 944 sub functionplotrulecheck {
# Basic sanity checks	# Basic sanity checks
if ($li<0) { $li=0; }	if ($li<0) { $li=0; }
if ($lh>400) { $lh=400; }	if ($lh>400) { $lh=400; }
if ($li>$lh) {	if (($li>$lh) \|\| (!defined($lh))) {
$lh=$li;	$lh=$li;
}	}

# &Apache::lonnet::logthis("Init $xinitial=$li Final $xfinal=$lh Findupper: $findupper");	&addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
my $tol=$tolfunc;	&actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
if ($derivative==2) {	if ($findupper) {
$tol=$told2fdx2;	&addlog("Looking for label $xfinallabel");
} elsif ($derivative==1) {	}
$tol=$toldfdx;	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);
	}
}	}
for (my $i=$li; $i<=$lh; $i++) {	for (my $i=$li; $i<=$lh; $i++) {
my $val;	my $val;
Line 856 sub functionplotrulecheck {	Line 971 sub functionplotrulecheck {
$val=$Apache::functionplotresponse::func[$i];	$val=$Apache::functionplotresponse::func[$i];
}	}
unless (&compare_rel($relationship,$value,$val,$tol)) {	unless (&compare_rel($relationship,$value,$val,$tol)) {
# &Apache::lonnet::logthis("Condition false $findupper at $i with $val");	&addlog("Actual value ".(defined($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)) {	if (($findupper) && ($i>$li)) {
	# check for minimum and maximum lengths
	my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
	if ($minimumlength) {
	if ($length<$minimumlength) {
	&addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
	return 0;
	}
	}
	if ($maximumlength) {
	if ($length>$maximumlength) {
	&addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
	return 0;
	}
	}
$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;	$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
# &Apache::lonnet::logthis("Setting $xfinallabel to $i");	&addlog("Rule $label passed, setting label $xfinallabel");
return 1;	return 1;
} else {	} else {
	&addlog("Rule $label failed.");
	my $hintlabel=$label;
	$hintlabel=~s/^R//;
	push(@Apache::functionplotresponse::failedrules,$hintlabel);
	&addlog("Set hint condition $hintlabel");
return 0;	return 0;
}	}
}	}
}	}
	&addlog("Rule $label passed.");
return 1;	return 1;
}	}

sub end_functionplotresponse {	sub start_functionplotruleset {
my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;	my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
&Apache::response::end_response;	if ($target eq 'edit') {
	return &Apache::edit::start_table($token).
my $result;	'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
my $id=$Apache::inputtags::response[-1];	.'<td><span class="LC_nobreak">'.&mt('Delete?').' '
my $partid=$Apache::inputtags::part;	.&Apache::edit::deletelist($target,$token).'   '.
my $internalid = $partid.'_'.$id;	&Apache::edit::insertlist($target,$token)
	.'</span></td>'
if ($target eq 'edit') { $result=&Apache::edit::end_table(); }	."<td> "
if ($target eq 'grade'	.&Apache::edit::end_row()
&& &Apache::response::submitted()	.&Apache::edit::start_spanning_row()
&& $Apache::lonhomework::type eq 'exam') {	."\n";
	}
&Apache::response::scored_response($partid,$id);	}

} elsif ($target eq 'grade'	sub end_functionplotruleset {
	my ($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::response::submitted()
&& $Apache::lonhomework::type ne 'exam') {	&& $Apache::lonhomework::type ne 'exam') {
my ($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	# Actually grade
#	#
my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);	my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,-2);
$xmin=(defined($xmin)?$xmin:-10);	$xmin=(defined($xmin)?$xmin:-10);
my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);	my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,-2);
$xmax=(defined($xmax)?$xmax:10);	$xmax=(defined($xmax)?$xmax:10);
my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);	my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,-2);
$ymin=(defined($ymin)?$ymin:-10);	$ymin=(defined($ymin)?$ymin:-10);
my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);	my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,-2);
$ymax=(defined($ymax)?$ymax:10);	$ymax=(defined($ymax)?$ymax:10);

my $percent=&Apache::lonxml::get_param('percenterror',$parstack,$safeeval);
$percent=(defined($percent)?$percent:5);

my $tolfunc=$percent*($ymax-$ymin)/100.;
my $toldfdx=1;
my $told2fdx2=1;
if ($xmax>$xmin) {
$toldfdx=$tolfunc/($xmax-$xmin);
$told2fdx2=$toldfdx/($xmax-$xmin);
}

my $ad='';	my $ad='';
undef %Apache::functionplotresponse::functionplotrulelabels;	undef %Apache::functionplotresponse::functionplotrulelabels;
	$Apache::functionplotresponse::ruleslog='';
$Apache::functionplotresponse::functionplotrulelabels{'start'}=400;	$Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
$Apache::functionplotresponse::functionplotrulelabels{'end'}=0;	$Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {	if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
$ad='NOT_FUNCTION';	$ad='NOT_FUNCTION';
} else {	} else {
	&addlog("Start of function ".&actualval($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.	# We have a function that we can actually grade, go through the spline rules.
foreach my $rule (@Apache::functionplotresponse::functionplotrules) {	foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
unless (&functionplotrulecheck($rule,$xmin,$xmax,$tolfunc,$toldfdx,$told2fdx2)) {	unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) {
$ad='INCORRECT';	$ad='INCORRECT';
last;	last;
}	}
Line 931 sub end_functionplotresponse {	Line 1067 sub end_functionplotresponse {
# If it's not wrong, it's correct	# If it's not wrong, it's correct
unless ($ad) { $ad='EXACT_ANS' };	unless ($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;

	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);
	#
	# Assign grade
	#
	my $ad=$Apache::functionplotresponse::awarddetail;
#	#
# Store grading info	# Store grading info
#	#
$Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;	$Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
&Apache::response::handle_previous(\%previous,$ad);	&Apache::response::handle_previous(\%previous,$ad);
} elsif ($target eq 'web') {	} elsif ($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') {
# Now is the time to render all of the stored splines	# Now is the time to render all of the stored splines
	my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,-2);
	$xmin=(defined($xmin)?$xmin:-10);
	my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,-2);
	$xmax=(defined($xmax)?$xmax:10);
	my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,-2);
	$ymin=(defined($ymin)?$ymin:-10);
	my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,-2);
	$ymax=(defined($ymax)?$ymax:10);
	if ($xmax<=$xmin) {
	$xmax=$xmin+20;
	}
	if ($ymax<=$ymin) {
	$ymax=$ymin+20;
	}
foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {	foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
$result.=&generate_spline($internalid,$label);	$result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax);
}	}
# close the init script	# close the init script
$result.=&end_init_script();	$result.=&end_init_script();
Line 964 sub end_functionplotresponse {	Line 1161 sub end_functionplotresponse {
}	}
return $result;	return $result;
}	}

	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).'   '.
	&Apache::edit::insertlist($target,$token)
	.'</span></td>'
	."<td> "
	.&Apache::edit::end_row()
	.&Apache::edit::start_spanning_row()
	."\n";
	} elsif ($target eq 'web') {
	my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,-2);
	$xmin=(defined($xmin)?$xmin:-10);
	my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,-2);
	$xmax=(defined($xmax)?$xmax:10);
	my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,-2);
	$ymin=(defined($ymin)?$ymin:-10);
	my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,-2);
	$ymax=(defined($ymax)?$ymax:10);
	if ($xmax<=$xmin) {
	$xmax=$xmin+20;
	}
	if ($ymax<=$ymin) {
	$ymax=$ymin+20;
	}
	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,$xlabel,$ylabel);
	# init script is left open
	}
	return $result;
	}

1;	1;

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	Added in v.1.40