# LearningOnline Network with CAPA # Functionplot responses # # $Id: functionplotresponse.pm,v 1.110 2015/04/05 17:09:12 raeburn 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; use Apache::run; use LONCAPA; BEGIN { &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline', 'plotobject','plotvector', 'functionplotvectorrule','functionplotvectorsumrule', 'drawvectorsum', 'functionplotcustomrule', 'functionplotrule','functionplotruleset', 'functionplotelements')); } # # Use old Java or HTML5/Javascript for GeoGebra? Depends on browser! # Return a true value if HTML5 should be used. sub useHTML5 { if ($env{'browser.type'} eq 'chrome') { if ($env{'browser.version'} >= 14) { return 1; } } elsif ($env{'browser.type'} eq 'safari') { if ($env{'browser.os'} eq 'mac') { my ($prefix,$version) = ($env{'browser.version'} =~ /^(\d*)(\d{3})\./); if ($version >= 536) { return 1; } } } elsif ($env{'browser.type'} eq 'mozilla') { if ($env{'browser.info'} =~ /^firefox\-(\d+)/) { my $firefox = $1; if ((($env{'browser.os'} eq 'mac') && ($firefox >= 20)) || (($env{'browser.os'} eq 'unix') && ($firefox >= 17)) || (($env{'browser.os'} eq 'win') && ($firefox >= 14))) { return 1; } } } elsif ($env{'browser.type'} eq 'explorer') { if (($env{'browser.os'} eq 'win') && ($env{'browser.version'} >= 10)) { return 1; } } elsif ($env{'browser.type'} eq 'opera') { if ($env{'browser.version'} >= 18) { return 1; } } return 0; } # # HTML5 version does not understand "_" in IDs # sub appid { my ($id)=@_; $id=~s/\_/rid/gs; $id=~s/\W//gs; return $id; } # # Routines to start the applet (Java) or the HTML5/JavaScript # # There can be a number of applets on a page, each called ggbApplet_$id, # where $id is the "_"-concatenated part and responseid # sub geogebra_startcode { my ($id,$width,$height)=@_; if (&useHTML5()) { return &html5_geogebra_startcode(@_); } else { return &java_geogebra_startcode(@_). &java_geogebra_code_param(); } } sub geogebra_endcode { if (&useHTML5()) { return ''; } else { return &java_geogebra_endcode(); } } sub geogebra_default_parameters { my ($id)=@_; if (&useHTML5()) { return ''; } else { return &java_geogebra_default_parameters($id); } } # === Java code sub java_geogebra_startcode { my ($id,$width,$height)=@_; my $appid=&appid($id); $width=int(1.*$width); $height=int(1.*$height); unless ($width) { $width=700; } unless ($height) { $height=400; } return (< ENDSTARTCODE } sub java_geogebra_endcode { return &Apache::lonhtmlcommon::java_not_enabled()."\n"; } sub java_geogebra_code_param { return ''; } # === HTML5 code sub html5_geogebra_startcode { my ($id,$width,$height)=@_; my $appid=&appid($id); $width=int(1.*$width); $height=int(1.*$height); unless ($width) { $width=700; } unless ($height) { $height=400; } my $code=&geogebra_internal_program(); return (< ENDSTARTCODE } # # This is the internal GeoGebra bytecode which defines the spline functions # sub geogebra_internal_program { return '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} # # The standard set of parameters inside # sub java_geogebra_default_parameters { my ($id)=@_; my $appid=&appid($id); return(< ENDDEFAULTPARAMETERS } # # This subroutine is called by LON-CAPA at # 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) { $script.="if (param=='ggbApplet".&appid($id)."') { loaded_$id=true; }\n"; } $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)). ") { setTimeout('ggbInitAll()',200) }"; my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); my $html5init=''; if (&useHTML5()) { $html5init= ''; } return (< // ENDGGBINIT } } # # Each Geogebra applet is supposed to call this when parameters change # Changes the hidden fields on the web page # sub update_script { my ($id)=@_; my $appid=&appid($id); return (< // ENDUPDATESCRIPT } # # Register the above update-handler for a variable # sub update_register { my ($id,$variable)=@_; my $appid=&appid($id); return "document.ggbApplet$appid.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n"; } # # Set a point coordinate variable # sub set_point_coordinate { my ($id,$variable,$x,$y,$fixed)=@_; my $appid=&appid($id); 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\^/; $y=~s/\+//; return (<\n". "\n"; } # # Initialize a new point coordinate variable at set a listener on it # sub new_point_coordinate { my ($id,$variable,$x,$y,$fixed)=@_; 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_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($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,$fixed)=@_; # # $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,$fixed).&update_register($id,$variable); } # # This registers the init-function call for ggbOnInit, which LON-CAPA will place at # It then starts the right headers # sub start_init_script { my ($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 (< // 0)) { $return.=(<0)) { $return.=(<8) { $order=8; } $Apache::functionplotresponse::counter++; my $label='CSpline'.$Apache::functionplotresponse::counter; my $output='document.ggbApplet'.$appid.'.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) { $output.='document.ggbApplet'.$appid.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n"; } for (my $i=1; $i<2*$order; $i+=2) { $output.='document.ggbApplet'.$appid.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n"; } return $output; } # # Subroutine that generates code for spline $label based on stored information # sub generate_spline { my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; my $appid=&appid($id); 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) { $result.=&new_point_coordinate($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,$ymax,$fixed); $x+=$sx/(2.*($order-1)); push(@coords,$label.'S'.$i); } $result.='document.ggbApplet'.$appid.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; return $result; } # # Object # sub start_plotobject { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval); my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval); my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); $label=~s/\W//gs; $label=ucfirst($label); unless ($label) { $label="NewObject"; } if ($target eq 'web') { my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); unless (defined($x)) { $x=$xmin; } unless (defined($y)) { $y=$ymin; } $result.=&plotobject_script($internalid,$label,$x,$y); } elsif ($target eq 'edit') { $result=&Apache::edit::tag_start($target,$token,'Plot Object'). &Apache::edit::text_arg('Label on Plot:','label', $token,'16'). &Apache::edit::text_arg('x:','x', $token,'8'). &Apache::edit::text_arg('y:','y', $token,'8'). &Apache::edit::end_row(); } elsif ($target eq 'modified') { $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y'); if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } } return $result; } sub end_plotobject { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; if ($target eq 'edit') { $result=&Apache::edit::end_table(); } return $result; } # # Vector # sub start_plotvector { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval); my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval); my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); $label=~s/\W//gs; $label=ucfirst($label); unless ($label) { $label="NewVector"; } if ($Apache::functionplotresponse::vectorlabels{$label}) { &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label)); } $Apache::functionplotresponse::vectorlabels{$label}=1; if ($target eq 'web') { my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); unless (defined($tailx)) { $tailx=$xmin; } unless (defined($taily)) { $taily=$ymin; } unless (defined($tipx)) { $tipx=$xmin; } unless (defined($tipy)) { $tipy=$ymin; } my $fixed=0; if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; } $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed); } elsif ($target eq 'edit') { $result=&Apache::edit::tag_start($target,$token,'Plot Vector'). &Apache::edit::text_arg('Label on Plot:','label', $token,'16'). &Apache::edit::text_arg('Tail x:','tailx', $token,'8'). &Apache::edit::text_arg('Tail y:','taily', $token,'8'). &Apache::edit::text_arg('Tip x:','tipx', $token,'8'). &Apache::edit::text_arg('Tip y:','tipy', $token,'8'). &Apache::edit::end_row(); } elsif ($target eq 'modified') { $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy'); if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } } return $result; } sub end_plotvector { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; if ($target eq 'edit') { $result=&Apache::edit::end_table(); } return $result; } # # Vector sum - have GeoGebra draw a sum of specified vectors to help students draw # sub start_drawvectorsum { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; my $internalappid=&appid($internalid); my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval); my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval); my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); $label=~s/\W//gs; $label=ucfirst($label); unless ($label) { $label="NewVector"; } if ($target eq 'web') { my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); unless (defined($tailx)) { $tailx=$xmin; } unless (defined($taily)) { $taily=$ymin; } unless (defined($vectorlist)) { $vectorlist=''; } my @vectors=split(/\,/,$vectorlist); if ($#vectors>0) { my @sumx=(); my @sumy=(); foreach my $thisvector (@vectors) { $thisvector=~s/\W//gs; $thisvector=ucfirst($thisvector); unless ($thisvector) { next; } unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) { &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector)); next; } my $vectorx=$thisvector.'X'; my $vectory=$thisvector.'Y'; $result.=(<'. &Apache::edit::text_arg('Vector List:','vectorlist', $token,'40'). &Apache::edit::end_row(); } elsif ($target eq 'modified') { $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist'); if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } } return $result; } sub end_drawvectorsum { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; if ($target eq 'edit') { $result=&Apache::edit::end_table(); } return $result; } # # # sub start_backgroundplot { my ($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 $xinitial=&Apache::lonxml::get_param('xinitial',$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); 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', $token,'8', 'colorchooser'). &Apache::edit::select_arg('Fixed location:','fixed', ['yes','no'],$token). &Apache::edit::end_row(); } elsif ($target eq 'modified') { my $constructtag=&Apache::edit::get_new_args($token,$parstack, $safeeval,'function','label','xinitial','xfinal','color','fixed'); if ($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 $result; } # # # sub start_functionplotrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); $Apache::functionplotresponse::counter++; if ($label=~/\W/) { &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); } $label=~s/\W//gs; unless ($label) { $label='R'.$Apache::functionplotresponse::counter; } else { $label='R'.$label; } if ($target eq 'grade') { # Simply remember - in order - for later my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval); my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval); if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) { &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.')); } $beginninglabel=~s/\W//gs; $endinglabel=~s/\W//gs; my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval); $relationship=~s/\W//gs; $relationship=lc($relationship); unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) { &Apache::lonxml::warning(&mt('Rule relationship not defined.')); $relationship='eq'; } my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval); unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) { &Apache::lonxml::warning(&mt('Rule derivative not defined.')); $derivative=0; } push(@Apache::functionplotresponse::functionplotrules,join(':',( $label, $derivative, &Apache::lonxml::get_param('xinitial',$parstack,$safeeval), $beginninglabel, &Apache::lonxml::get_param('xfinal',$parstack,$safeeval), $endinglabel, &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval), &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval), $relationship, &Apache::lonxml::get_param('value',$parstack,$safeeval), &Apache::lonxml::get_param('percenterror',$parstack,$safeeval) ))); } elsif ($target eq 'edit') { $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule'). &Apache::edit::text_arg('Index/Name:','index', $token,'10').' '. &Apache::edit::select_arg('Function:','derivativeorder', [['0','Function itself'], ['1','First derivative'], ['2','Second derivative'], ['-1','Integral']],$token).'
'. &Apache::edit::text_arg('Initial x-value:','xinitial', $token,'8'). &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel', [['start','Start of Plot'], ['end','End of Plot']],$token,'8').'
'. &Apache::edit::text_arg('Final x-value (optional):','xfinal', $token,'8'). &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel', [['end','End of Plot']],$token,'8').'
'. &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength', $token,'8'). &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength', $token,'8').'
'. &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship', [['eq','equal'], ['ne','not equal'], ['ge','greater than or equal'], ['gt','greater than'], ['lt','less than'], ['le','less than or equal']],$token). $result.= &Apache::edit::select_or_text_arg('Value:','value', [['undef','not defined']],$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, $safeeval,'index','derivativeorder', 'xinitial','xinitiallabel','xfinal','xfinallabel', 'minimumlength','maximumlength', 'relationship','value','percenterror'); if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } } return $result; } sub end_functionplotrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; if ($target eq 'edit') { $result=&Apache::edit::end_table(); } return $result; } # # # sub start_functionplotvectorrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); $Apache::functionplotresponse::counter++; if ($label=~/\W/) { &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); } $label=~s/\W//gs; unless ($label) { $label='R'.$Apache::functionplotresponse::counter; } else { $label='R'.$label; } if ($target eq 'grade') { # Simply remember - in order - for later my $id=$Apache::inputtags::response[-1]; my $partid=$Apache::inputtags::part; my $internalid = $partid.'_'.$id; my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval); $vector=~s/\W//gs; $vector=ucfirst($vector); push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( $label, 'vector', $internalid, $vector, &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval), &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval), &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval), &Apache::lonxml::get_param('tippoint',$parstack,$safeeval), &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval), &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval), &Apache::lonxml::get_param('length',$parstack,$safeeval), &Apache::lonxml::get_param('angle',$parstack,$safeeval), &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), ))); } elsif ($target eq 'edit') { $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule'). &Apache::edit::text_arg('Index/Name:','index', $token,'10').' '. &Apache::edit::text_arg('Vector:','vector', $token,'16').'
'. &Apache::edit::text_arg('Attached to object:','attachpoint', $token,'16'). &Apache::edit::text_arg('Not attached to object:','notattachpoint', $token,'16').'
'. &Apache::edit::text_arg('Tail attached to object:','tailpoint', $token,'16'). &Apache::edit::text_arg('Tip attached to object:','tippoint', $token,'16'). &Apache::edit::text_arg('Tail not attached to object:','nottailpoint', $token,'16'). &Apache::edit::text_arg('Tip not attached to object:','nottippoint', $token,'16').'
'. &Apache::edit::text_arg('Length:','length', $token,'30'). &Apache::edit::text_arg('Absolute error length:','lengtherror', $token,'8').'
'. &Apache::edit::text_arg('Angle:','angle', $token,'30'). &Apache::edit::text_arg('Absolute error angle:','angleerror', $token,'8'). &Apache::edit::end_row(); } elsif ($target eq 'modified') { $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')}); my $constructtag=&Apache::edit::get_new_args($token,$parstack, $safeeval,'index','vector','attachpoint','notattachpoint', 'tailpoint','tippoint','nottailpoint','nottipoint', 'length','angle', 'lengtherror','angleerror'); if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } } return $result; } sub end_functionplotvectorrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; if ($target eq 'edit') { $result=&Apache::edit::end_table(); } return $result; } # # # sub start_functionplotvectorsumrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); $Apache::functionplotresponse::counter++; if ($label=~/\W/) { &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); } $label=~s/\W//gs; unless ($label) { $label='R'.$Apache::functionplotresponse::counter; } else { $label='R'.$label; } if ($target eq 'grade') { # Simply remember - in order - for later my $id=$Apache::inputtags::response[-1]; my $partid=$Apache::inputtags::part; my $internalid = $partid.'_'.$id; my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval); push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( $label, 'sum', $internalid, $vectors, &Apache::lonxml::get_param('length',$parstack,$safeeval), &Apache::lonxml::get_param('angle',$parstack,$safeeval), &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), ))); } elsif ($target eq 'edit') { $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule'). &Apache::edit::text_arg('Index/Name:','index', $token,'10').' '. &Apache::edit::text_arg('Comma-separated list of vectors:','vectors', $token,'30').'
'. &Apache::edit::text_arg('Sum vector length:','length', $token,'30'). &Apache::edit::text_arg('Absolute error length:','lengtherror', $token,'8').'
'. &Apache::edit::text_arg('Sum vector angle:','angle', $token,'30'). &Apache::edit::text_arg('Absolute error angle:','angleerror', $token,'8'). &Apache::edit::end_row(); } elsif ($target eq 'modified') { my $constructtag=&Apache::edit::get_new_args($token,$parstack, $safeeval,'index','vectors', 'length','angle', 'lengtherror','angleerror'); if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } } return $result; } sub end_functionplotvectorsumrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; if ($target eq 'edit') { $result=&Apache::edit::end_table(); } return $result; } # # # sub start_functionplotcustomrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); $Apache::functionplotresponse::counter++; if ($label=~/\W/) { &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); } $label=~s/\W//gs; unless ($label) { $label='R'.$Apache::functionplotresponse::counter; } else { $label='R'.$label; } &Apache::lonxml::register('Apache::response',('answer')); if ($target eq 'edit') { $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule'). &Apache::edit::text_arg('Index/Name:','index',$token,'10'). &Apache::edit::end_row(); } elsif ($target eq 'modified') { my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index'); if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } } return $result; } sub end_functionplotcustomrule { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; my $result=''; if ($target eq 'edit') { $result=&Apache::edit::end_table(); } elsif ($target eq 'grade') { # Simply remember - in order - for later my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); $Apache::functionplotresponse::counter++; if ($label=~/\W/) { &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); } $label=~s/\W//gs; unless ($label) { $label='R'.$Apache::functionplotresponse::counter; } else { $label='R'.$label; } push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( $label, 'custom', &escape($Apache::response::custom_answer[-1]) ))); } &Apache::lonxml::deregister('Apache::response',('answer')); return $result; } # # # # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them # sub start_spline { my ($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', $token,'4').' '. &Apache::edit::select_arg('Order:','order', ['2','3','4','5','6','7','8'],$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 $result; } sub end_init_script { return (< ENDENDINIT } # # Storing and restoring spline coordinates from part answers # sub decode_previous_answer { my ($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.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($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) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ (-6.*$t*$t+6.*$t)*$p2 + 3.*(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 + 3.*(6.*$t-4.)*($s1-$p1)+ (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2); } # # Array index calculation # sub array_index { my ($xmin,$xmax,$x)=@_; if ($x ne '') { return int(($x-$xmin)/($xmax-$xmin)*400.+0.5); } else { return undef; } } # # Populate the arrays # sub populate_arrays { my ($id,$xmin,$xmax,$ymin,$ymax)=@_; for (my $i=0; $i<=400; $i++) { $Apache::functionplotresponse::actualxval[$i]=undef; $Apache::functionplotresponse::func[$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+=0.0001) { my $xreal=&cubic_hermite($t,@xparms); my $xi=&array_index($xmin,$xmax,$xreal); if ($xi<$xiold) { return 'no_func'; } if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) { $xiold=$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; } if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; } } # Chain rule # 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; # Second derivative $Apache::functionplotresponse::d2funcdx2[$xi]= ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ ($dxdt*$dxdt*$dxdt); } } } } } } # # Implementation of # sub start_functionplotresponse { my ($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=''; $Apache::functionplotresponse::counter=0; # Remember vectors undef %Apache::functionplotresponse::vectorlabels; # Remember rules undef @Apache::functionplotresponse::functionplotrules; undef @Apache::functionplotresponse::functionplotvectorrules; # Remember failed rules if ($target eq 'grade') { undef @Apache::functionplotresponse::failedrules; } # Delete previous awards undef $Apache::functionplotresponse::awarddetail; # 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.$id.submission"}); # Parameters of my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval); 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) .''.&Apache::loncommon::insert_folding_button().&mt('Function Plot Question').'' .''.&mt('Delete?').' ' .&Apache::edit::deletelist($target,$token).'   ' .&Apache::edit::insertlist($target,$token).'   ' .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses') .'' ." " .&Apache::edit::end_row() .&Apache::edit::start_spanning_row() ."\n"; $result.=&Apache::edit::text_arg('Width (pixels):','width', $token,'6').' '. &Apache::edit::text_arg('Height (pixels):','height', $token,'6').'
'. &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'],$token).'
'. &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):', 'answerdisplay',$token,'50'). &Apache::edit::end_row().&Apache::edit::start_spanning_row(); } elsif ($target eq 'modified') { my $constructtag=&Apache::edit::get_new_args($token,$parstack, $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax', 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay'); if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } } elsif ($target eq 'meta') { $result=&Apache::response::meta_package_write('functionplotresponse'); } elsif (($target eq 'answer') && ($env{'form.answer_output_mode'} ne 'tex') && ($Apache::lonhomework::viewgrades == 'F')) { my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser(); $uname =~s/\W//g; $udom =~s/\W//g; my $function_name = join('_','LONCAPA_scriptvars',$uname,$udom, $env{'form.counter'},$Apache::lonxml::curdepth); &Apache::lonxml::add_script_result( &Apache::loncommon::modal_adhoc_window($function_name,700,500, '
'.$Apache::functionplotresponse::ruleslog.'
', &mt('Rules Log'))."
"); } return $result; } sub compare_rel { my ($relationship,$value,$realval,$tol)=@_; # is the real value undefined? unless (defined($realval)) { # the real value is not defined if ($relationship eq 'eq') { if ($value eq 'undef') { return 1; } else { return 0; } } elsif ($relationship eq 'ne') { if ($value eq 'undef') { return 0; } else { return 1; } } else { return 0; } } # 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') { return ($realval>$value); } elsif ($relationship eq 'ge') { return ($realval>$value-$tol); } elsif ($relationship eq 'lt') { return ($realval<$value); } elsif ($relationship eq 'le') { return ($realval<$value+$tol); } elsif ($relationship eq 'ne') { return (abs($value-$realval)>$tol); } else { return (abs($value-$realval)<$tol); } return 0; } sub addlog { my ($text)=@_; $text=~s/\'/\\\'/g; $Apache::functionplotresponse::ruleslog.=$text.'
'; } 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, $arg)]; } sub fpr_vectorcoords { my ($arg)=@_; $arg=~s/\W//gs; $arg=ucfirst($arg); my $id=$Apache::inputtags::response[-1]; my $partid=$Apache::inputtags::part; my $internalid = $partid.'_'.$id; return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'}, $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'}, $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'}, $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'}); } sub fpr_objectcoords { my ($arg)=@_; $arg=~s/\W//gs; $arg=ucfirst($arg); my $id=$Apache::inputtags::response[-1]; my $partid=$Apache::inputtags::part; my $internalid = $partid.'_'.$id; return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'}, $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'}); } sub fpr_vectorlength { my ($arg)=@_; my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys)); } sub fpr_vectorangle { my ($arg)=@_; my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs)); if ($angle<0) { $angle=360+$angle; } return $angle; } sub vectorcoords { my ($id,$label)=@_; return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'}, $env{'form.HWVAL_'.$id.'_'.$label.'End_x'}, $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'}, $env{'form.HWVAL_'.$id.'_'.$label.'End_y'}); } sub objectcoords { my ($id,$label)=@_; return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'}, $env{'form.HWVAL_'.$id.'_'.$label.'_y'}); } sub attached { my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_; my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector); my $tolx=($xmax-$xmin)/100.; my $toly=($ymax-$ymin)/100.; my $tail=0; my $tip=0; foreach my $obj (split(/\s*\,\s*/,$objects)) { $obj=~s/\W//g; unless ($obj) { next; } $obj=ucfirst($obj); my ($xo,$yo)=&objectcoords($id,$obj); &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)"); if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) { $tail=1; &addlog("Attached tail: $obj"); } if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) { $tip=1; &addlog("Attached tip: $obj"); } } &addlog("Result tail:$tail tip:$tip"); return($tail,$tip); } sub vectorangle { my ($x,$y)=@_; my $angle=57.2957795*atan2($y,$x); if ($angle<0) { $angle=360+$angle; } return $angle; } sub vectorlength { my ($x,$y)=@_; return sqrt($x*$x+$y*$y); } sub relvector { my ($xs,$xe,$ys,$ye)=@_; return ($xe-$xs,$ye-$ys); } sub plotvectorlength { return &vectorlength(&relvector(&vectorcoords(@_))); } sub plotvectorangle { return &vectorangle(&relvector(&vectorcoords(@_))); } # # Evaluate a functionplotvectorrule # sub functionplotvectorrulecheck { my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; &addlog("================="); my ($label,$type)=split(/\:/,$rule); if ($type eq 'vector') { return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); } elsif ($type eq 'sum') { return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); } elsif ($type eq 'custom') { return &customcheck($rule,$safeeval); } } sub vectorcheck { my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; my ($label,$type,$id,$vector, $attachpoint,$notattachpoint, $tailpoint,$tippoint,$nottailpoint,$nottippoint, $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); &addlog("Vector Rule $label for vector ".$vector); if ($length ne '') { &addlog("Checking for length $length with error $lengtherror"); $length=&Apache::run::run($length,$safeeval); &addlog("Length evaluated to $length"); my $thislength=&plotvectorlength($id,$vector); &addlog("Found length $thislength"); if (abs($thislength-$length)>$lengtherror) { &setfailed($label); return 0; } } if ($angle ne '') { &addlog("Checking for angle $angle with error $angleerror"); $angle=&Apache::run::run($angle,$safeeval); &addlog("Angle evaluated to $angle"); my $thisangle=&plotvectorangle($id,$vector); &addlog("Found angle $thisangle"); my $anglediff=abs($thisangle-$angle); &addlog("Angle difference: $anglediff"); if ($anglediff>360.-$anglediff) { $anglediff=360.-$anglediff; } &addlog("Smallest angle difference: $anglediff"); if ($anglediff>$angleerror) { &setfailed($label); return 0; } } if ($attachpoint ne '') { &addlog("Checking attached: ".$attachpoint); my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax); unless ($tail || $tip) { &setfailed($label); return 0; } } if ($notattachpoint ne '') { &addlog("Checking not attached: ".$notattachpoint); my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax); if ($tail || $tip) { &setfailed($label); return 0; } } if ($tailpoint ne '') { &addlog("Checking tail: ".$tailpoint); my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax); unless ($tail) { &setfailed($label); return 0; } } if ($nottailpoint ne '') { &addlog("Checking not tail: ".$nottailpoint); my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax); if ($tail) { &setfailed($label); return 0; } } if ($tippoint ne '') { &addlog("Checking tip: ".$tippoint); my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax); unless ($tip) { &setfailed($label); return 0; } } if ($nottippoint ne '') { &addlog("Checking not tip: ".$nottippoint); my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax); if ($tip) { &setfailed($label); return 0; } } &addlog("Rule $label passed."); return 1; } sub sumcheck { my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); &addlog("Vector Sum Rule $label for vectors ".$vectors); my $sumx=0; my $sumy=0; foreach my $sv (split(/\s*\,\s*/,$vectors)) { my ($rx,$ry)=&relvector(&vectorcoords($id,$sv)); $sumx+=$rx; $sumy+=$ry; } &addlog("Sum vector ($sumx,$sumy)"); if ($length ne '') { &addlog("Checking length $length with error $lengtherror"); $length=&Apache::run::run($length,$safeeval); &addlog("Evaluated to $length"); my $thislength=&vectorlength($sumx,$sumy); &addlog("Actual length $thislength"); if (abs($length-$thislength)>$lengtherror) { &setfailed($label); return 0; } } if ($angle ne '') { &addlog("Checking angle $angle with error $angleerror"); $angle=&Apache::run::run($angle,$safeeval); &addlog("Evaluated to $angle"); my $thisangle=&vectorangle($sumx,$sumy); &addlog("Actual angle $thisangle"); my $anglediff=abs($thisangle-$angle); &addlog("Angle difference: $anglediff"); if ($anglediff>360.-$anglediff) { $anglediff=360.-$anglediff; } &addlog("Smallest angle difference: $anglediff"); if ($anglediff>$angleerror) { &setfailed($label); return 0; } } &addlog("Rule $label passed."); return 1; } sub customcheck { my ($rule,$safeeval)=@_; my ($label,$type,$prg)=split(/\:/,$rule); &addlog("Custom Rule ".$label); my $result=&Apache::run::run(&unescape($prg),$safeeval); &addlog("Algorithm returned $result"); unless ($result) { &setfailed($label); return 0; } &addlog("Rule $label passed."); return 1; } # # Evaluate a functionplotrule # sub functionplotrulecheck { my ($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/) && ($value ne 'undef')) { $Apache::functionplotresponse::fpr_xmin=$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; # Special case: the upper boundary was not defined # and needs to be set to the value where # the condition is not true anymore => set flag my $findupper=0; if (($xfinal eq '') && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) && ($xfinallabel)) { $findupper=1; } # if a hard value is set for the boundaries, it overrides the label if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { $li=&array_index($xmin,$xmax,$xinitial); $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; } if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { $lh=&array_index($xmin,$xmax,$xfinal); $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; } # if the label is defined, use it if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { &addlog("Using lower label $xinitiallabel"); $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; } else { $li=&array_index($xmin,$xmax,$xinitial); } unless ($findupper) { if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { &addlog("Using upper label $xfinallabel"); $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; } else { $lh=&array_index($xmin,$xmax,$xfinal); } } # Basic sanity checks if ($li<0) { $li=0; } if ($lh>400) { $lh=400; } if (($li>$lh) || (!defined($lh))) { $lh=$li; } &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=". &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))"); if ($findupper) { &addlog("Looking for label $xfinallabel"); } 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); } elsif ($derivative==-1) { $tol=$tol*($xmax-$xmin)/2.; } } my $integral=0; my $binwidth=($xmax-$xmin)/400.; if (($derivative<0) && (!$findupper)) { # definite integral, calculate over whole length &addlog("Calculating definite integral"); for (my $i=$li; $i<=$lh; $i++) { $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; } unless (&compare_rel($relationship,$value,$integral,$tol)) { &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol"); &addlog("Rule $label failed."); &setfailed($label); return 0; } } else { for (my $i=$li; $i<=$lh; $i++) { my $val; if ($derivative==2) { $val=$Apache::functionplotresponse::d2funcdx2[$i]; } elsif ($derivative==1) { $val=$Apache::functionplotresponse::dfuncdx[$i]; } elsif ($derivative==-1) { $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; $val=$integral; } else { $val=$Apache::functionplotresponse::func[$i]; } unless (&compare_rel($relationship,$value,$val,$tol)) { &addlog("Actual value ".(defined($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 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 $label failed."); &setfailed($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 ($hintlabel)=@_; $hintlabel=~s/^R//; push(@Apache::functionplotresponse::failedrules,$hintlabel); &addlog("Set hint condition $hintlabel"); } sub start_functionplotruleset { my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; if ($target eq 'edit') { return &Apache::edit::start_table($token). ''.&Apache::loncommon::insert_folding_button().&mt('Function Plot Rule Set').'' .''.&mt('Delete?').' ' .&Apache::edit::deletelist($target,$token).'   '. &Apache::edit::insertlist($target,$token).'   ' .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules') .'' ." " .&Apache::edit::end_row() .&Apache::edit::start_spanning_row() ."\n"; } } 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() && $Apache::lonhomework::type ne 'exam') { # # Actually grade # my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); my $ad=''; undef %Apache::functionplotresponse::functionplotrulelabels; $Apache::functionplotresponse::ruleslog=''; $Apache::functionplotresponse::functionplotrulelabels{'start'}=400; $Apache::functionplotresponse::functionplotrulelabels{'end'}=0; if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') { $ad='NOT_FUNCTION'; } else { &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ". $Apache::functionplotresponse::functionplotrulelabels{'start'}.")"); &addlog("End of function ".&actualval($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. foreach my $rule (@Apache::functionplotresponse::functionplotrules) { unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { $ad='INCORRECT'; last; } } # And now go through the vector rules foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) { unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { $ad='INCORRECT'; last; } } # If it's not wrong, it's correct unless ($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 # $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; &Apache::response::handle_previous(\%previous,$ad); } elsif ($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') { 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,$ymax,$fixed); } # close the init script $result.=&end_init_script(); # register all splines in this response $result.=''."\n"; foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { $result.=''."\n"; } # generate the input fields $result.=$Apache::functionplotresponse::inputfields; # actually start the -tag $result.=&geogebra_startcode($internalid, &Apache::lonxml::get_param('width',$parstack,$safeeval,-2), &Apache::lonxml::get_param('height',$parstack,$safeeval,-2)); # set default parameters $result.=&geogebra_default_parameters($internalid); # close the -tag $result.=&geogebra_endcode(); } return $result; } sub boundaries { my ($parstack,$safeeval,$level)=@_; my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level); $xmin=(defined($xmin)?$xmin:-10); my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level); $xmax=(defined($xmax)?$xmax:10); my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level); $ymin=(defined($ymin)?$ymin:-10); my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level); $ymax=(defined($ymax)?$ymax:10); if ($xmax<=$xmin) { $xmax=$xmin+20; } if ($ymax<=$ymin) { $ymax=$ymin+20; } return ($xmin,$xmax,$ymin,$ymax); } 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). ''.&Apache::loncommon::insert_folding_button() .&mt('Function Plot Elements').'' .''.&mt('Delete?').' ' .&Apache::edit::deletelist($target,$token).'   '. &Apache::edit::insertlist($target,$token).'   ' .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements') .'' ." " .&Apache::edit::end_row() .&Apache::edit::start_spanning_row() ."\n"; } elsif ($target eq 'web') { my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 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,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel); # init script is left open } 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