--- loncom/homework/functionplotresponse.pm 2010/11/23 17:01:28 1.44 +++ loncom/homework/functionplotresponse.pm 2011/10/27 00:36:37 1.69 @@ -1,7 +1,7 @@ # LearningOnline Network with CAPA # option list style responses # -# $Id: functionplotresponse.pm,v 1.44 2010/11/23 17:01:28 www Exp $ +# $Id: functionplotresponse.pm,v 1.69 2011/10/27 00:36:37 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', @@ -61,7 +62,7 @@ sub geogebra_endcode { # sub geogebra_spline_program { return (< + ENDSPLINEPROGRAM } @@ -74,8 +75,8 @@ sub geogebra_default_parameters { - - + + @@ -108,7 +109,7 @@ sub init_script { $script.="if (param=='applet_$id') { loaded_$id=true; }\n"; } $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)). - ") { setTimeout('ggbInitAll()',20) }"; + ") { setTimeout('ggbInitAll()',200) }"; my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); return (< @@ -161,9 +162,19 @@ sub update_register { # Set a point coordinate variable # sub set_point_coordinate { - my ($id,$variable,$x,$y)=@_; + my ($id,$variable,$x,$y,$fixed)=@_; + my $mult=($fixed?'a*':''); +# Get rid of wild exponents, make sure it's a number + $x=1.*$x; + $y=1.*$y; +# GeoGebra does not understand "E" + $x=~s/[e|E]/\*10\^/; + $x=~s/\+//; + $y=~s/[e|E]/\*10\^/; + $y=~s/\+//; return (<0)) { $return.=(<0)) { $return.=(<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 $output; } # @@ -341,7 +411,7 @@ sub plot_script { # sub generate_spline { - my ($id,$label,$xmin,$xmax,$ymin,$ymax)=@_; + my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; my $result=''; my $order=$Apache::functionplotresponse::splineorder{$label}; my $x=$Apache::functionplotresponse::splineinitx{$label}; @@ -350,11 +420,11 @@ sub generate_spline { my $sy=$Apache::functionplotresponse::splinescaley{$label}; my @coords=(); foreach my $i (1..$order) { - $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y); + $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed); my $xp=$x; $x+=$sx/(2.*($order-1)); push(@coords,$label.'P'.$i); - $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax); + $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed); $x+=$sx/(2.*($order-1)); push(@coords,$label.'S'.$i); } @@ -369,25 +439,38 @@ sub start_backgroundplot { my $result=''; my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval); + my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval); + my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval); my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); + my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval); + $color=~s/[^a-fA-F0-9]//gs; + unless (length($color)==6) { $color=''; } my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0); unless ($function) { $function="0"; } if ($target eq 'web') { my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); - $result.=&plot_script($internalid,$function,$fixed,$label,$xmin,$xmax); + unless (defined($xinitial)) { $xinitial=$xmin; } + unless (defined($xfinal)) { $xfinal=$xmax; } + $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal); } elsif ($target eq 'edit') { $result=&Apache::edit::tag_start($target,$token,'Background Function Plot'). &Apache::edit::text_arg('Function:','function', $token,'16'). + &Apache::edit::text_arg('Initial x-value (optional):','xinitial', + $token,'8'). + &Apache::edit::text_arg('Final x-value (optional):','xfinal', + $token,'8'). &Apache::edit::text_arg('Label on Plot:','label', $token,'8'). + &Apache::edit::text_arg('Color (hex code):','color', + $token,'8'). &Apache::edit::select_arg('Fixed location:','fixed', ['yes','no'],$token). &Apache::edit::end_row(); } elsif ($target eq 'modified') { my $constructtag=&Apache::edit::get_new_args($token,$parstack, - $safeeval,'function','label','fixed'); + $safeeval,'function','label','xinitial','xfinal','color','fixed'); if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } } return $result; @@ -489,11 +572,17 @@ sub start_functionplotrule { ['lt','less than'], ['le','less than or equal']],$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', $token,'8'). &Apache::edit::end_row(); } elsif ($target eq 'modified') { + if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) { + $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}=''; + } + if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) { + $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}=''; + } my $constructtag=&Apache::edit::get_new_args($token,$parstack, $safeeval,'index','derivativeorder', 'xinitial','xinitiallabel','xfinal','xfinallabel', @@ -671,7 +760,7 @@ sub array_index { # sub populate_arrays { - my ($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; @@ -699,12 +788,19 @@ 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; @@ -774,7 +870,8 @@ sub start_functionplotresponse { .''.&mt('Function Plot Question').'' .''.&mt('Delete?').' ' .&Apache::edit::deletelist($target,$token).'   ' - .&Apache::edit::insertlist($target,$token) + .&Apache::edit::insertlist($target,$token).'   ' + .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses') .'' ." " .&Apache::edit::end_row() @@ -797,12 +894,14 @@ sub start_functionplotresponse { &Apache::edit::select_arg('y-axis visible:','yaxisvisible', ['yes','no'],$token).'
'. &Apache::edit::select_arg('Grid visible:','gridvisible', - ['yes','no'],$token). + ['yes','no'],$token).'
'. + &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):', + 'answerdisplay',$token,'50'). &Apache::edit::end_row().&Apache::edit::start_spanning_row(); } elsif ($target eq 'modified') { my $constructtag=&Apache::edit::get_new_args($token,$parstack, $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax', - 'xaxisvisible','yaxisvisible','gridvisible'); + 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay'); if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } } elsif ($target eq 'meta') { @@ -882,6 +981,7 @@ sub compare_rel { sub addlog { my ($text)=@_; + $text=~s/\'/\\\'/g; $Apache::functionplotresponse::ruleslog.=$text.'
'; } @@ -889,15 +989,59 @@ 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"); + } my $li=0; my $lh=400; @@ -992,38 +1136,59 @@ sub functionplotrulecheck { &addlog("Actual value ".(defined($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)) { -# 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 $maximumlength"); - return 0; - } - } +# Check lengths + unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } +# Successfully found a new label, set it $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; &addlog("Rule $label passed, setting label $xfinallabel"); return 1; } else { &addlog("Rule $label failed."); - my $hintlabel=$label; - $hintlabel=~s/^R//; - push(@Apache::functionplotresponse::failedrules,$hintlabel); - &addlog("Set hint condition $hintlabel"); + &setfailed($label); return 0; } } } } +# Corner case where this makes sense: using start or stop as defined labels + unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } &addlog("Rule $label passed."); return 1; } +# +# check for minimum and maximum lengths +# + +sub checklength { + my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_; + unless (($minimumlength) || ($maximumlength)) { return 1; } + my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax); + if ($minimumlength) { + if ($length<$minimumlength) { + &addlog("Rule $label failed, actual length $length, minimum length $minimumlength"); + &setfailed($label); + return 0; + } + } + if ($maximumlength) { + if ($length>$maximumlength) { + &addlog("Rule $label failed, actual length $length, maximum length $maximumlength"); + &setfailed($label); + return 0; + } + } + return 1; +} + +sub setfailed { + my ($label)=@_; + my $hintlabel=$label; + $hintlabel=~s/^R//; + push(@Apache::functionplotresponse::failedrules,$hintlabel); + &addlog("Set hint condition $hintlabel"); +} + sub start_functionplotruleset { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; if ($target eq 'edit') { @@ -1031,7 +1196,8 @@ sub start_functionplotruleset { ''.&mt('Function Plot Rule Set').'' .''.&mt('Delete?').' ' .&Apache::edit::deletelist($target,$token).'   '. - &Apache::edit::insertlist($target,$token) + &Apache::edit::insertlist($target,$token).'   ' + .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules') .'' ." " .&Apache::edit::end_row() @@ -1061,7 +1227,7 @@ 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 ". @@ -1071,7 +1237,7 @@ 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)) { $ad='INCORRECT'; last; } @@ -1133,10 +1299,34 @@ sub end_functionplotelements { if ($target eq 'edit' ) { $result=&Apache::edit::end_table(); } elsif ($target eq 'web') { -# Now is the time to render all of the stored splines my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); + +# Are we in show answer mode? + my $showanswer=&Apache::response::show_answer(); + if ($showanswer) { +# Render answerdisplay + my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2); + if ($answerdisplay=~/\S/s) { + foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) { + 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); + } + } + } + } + my $fixed=0; + if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; } +# Now is the time to render all of the stored splines foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { - $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax); + $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed); } # close the init script $result.=&end_init_script(); @@ -1192,7 +1382,8 @@ sub start_functionplotelements { ''.&mt('Function Plot Elements').'' .''.&mt('Delete?').' ' .&Apache::edit::deletelist($target,$token).'   '. - &Apache::edit::insertlist($target,$token) + &Apache::edit::insertlist($target,$token).'   ' + .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements') .'' ." " .&Apache::edit::end_row() @@ -1213,7 +1404,7 @@ sub start_functionplotelements { $result.=&start_init_script($internalid); # put the axis commands inside $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); - $result.=&axes_label($internalid,$xlabel,$ylabel); + $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel); # init script is left open } return $result;