Annotation of loncom/homework/functionplotresponse.pm, revision 1.65

1.1       www         1: # LearningOnline Network with CAPA
                      2: # option list style responses
                      3: #
1.65    ! www         4: # $Id: functionplotresponse.pm,v 1.64 2011/09/28 23:33:52 www Exp $
1.1       www         5: #
                      6: # Copyright Michigan State University Board of Trustees
                      7: #
                      8: # This file is part of the LearningOnline Network with CAPA (LON-CAPA).
                      9: #
                     10: # LON-CAPA is free software; you can redistribute it and/or modify
                     11: # it under the terms of the GNU General Public License as published by
                     12: # the Free Software Foundation; either version 2 of the License, or
                     13: # (at your option) any later version.
                     14: #
                     15: # LON-CAPA is distributed in the hope that it will be useful,
                     16: # but WITHOUT ANY WARRANTY; without even the implied warranty of
                     17: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
                     18: # GNU General Public License for more details.
                     19: #
                     20: # You should have received a copy of the GNU General Public License
                     21: # along with LON-CAPA; if not, write to the Free Software
                     22: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
                     23: #
                     24: # /home/httpd/html/adm/gpl.txt
                     25: #
                     26: # http://www.lon-capa.org/
                     27: #
                     28: 
                     29: package Apache::functionplotresponse;
                     30: use strict;
                     31: use Apache::response();
                     32: use Apache::lonlocal;
                     33: use Apache::lonnet;
1.65    ! www        34: use Apache::run;
1.36      www        35:  
1.1       www        36: BEGIN {
1.37      www        37:   &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
                     38:                                                             'functionplotrule','functionplotruleset',
                     39:                                                             'functionplotelements'));
1.1       www        40: }
                     41: 
1.5       www        42: #
                     43: # There can be a number of applets on a page, each called ggbApplet_$id, 
                     44: # where $id is the "_"-concatenated part and responseid
                     45: #
                     46: 
1.1       www        47: sub geogebra_startcode {
1.3       www        48:     my ($id)=@_;
1.1       www        49:     return (<<ENDSTARTCODE);
1.3       www        50: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
1.40      www        51:          codebase="/adm/geogebra/"  width="722" height="447" MAYSCRIPT>
1.1       www        52:        <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
                     53: ENDSTARTCODE
                     54: }
                     55: 
                     56: sub geogebra_endcode {
1.2       www        57:     return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
                     58: }
                     59: 
1.5       www        60: #
                     61: # This is the internal GeoGebra bytecode which defines the spline functions
                     62: #
1.2       www        63: sub geogebra_spline_program {
                     64:     return (<<ENDSPLINEPROGRAM);
1.57      www        65: <param name="ggbBase64" value="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"/>
1.2       www        66: ENDSPLINEPROGRAM
                     67: }
                     68: 
1.5       www        69: #
                     70: # The standard set of parameters inside <applet>
                     71: #
1.2       www        72: sub geogebra_default_parameters {
1.3       www        73:    my ($id)=@_;
1.2       www        74:    return(<<ENDDEFAULTPARAMETERS);
                     75:         <param name="image" value="/adm/lonIcons/lonanim.gif"  />
                     76:         <param name="boxborder" value="false"  />
                     77:         <param name="centerimage" value="true"  />
1.62      www        78: 	<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_algos.jar, geogebra_javascript.jar, geogebra_properties.jar, jlatexmath.jar, jlm_cyrillic.jar, jlm_greek.jar" />
                     79: 	<param name="cache_version" value="3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0, 3.9.219.0" />
1.2       www        80:         <param name="framePossible" value="false" />
                     81: 
                     82:         <param name="showResetIcon" value="false" />
                     83:         <param name="showAnimationButton" value="false" />
                     84:         <param name="enableRightClick" value="false" />
                     85:         <param name="errorDialogsActive" value="true" />
                     86:         <param name="enableLabelDrags" value="false" />
                     87:         <param name="showMenuBar" value="false" />
                     88:         <param name="showToolBar" value="false" />
                     89:         <param name="showToolBarHelp" value="false" />
                     90:         <param name="showAlgebraInput" value="false" />
                     91:         <param name="enableShiftDragZoom" value="false" />
                     92:         <param name="allowRescaling" value="false" />
                     93:         <param name="enableLabelDrags" value="false" />
1.3       www        94:         <param name="ggbOnInitParam" value="applet_$id" />
1.2       www        95: ENDDEFAULTPARAMETERS
1.1       www        96: }
                     97: 
1.5       www        98: #
                     99: # This subroutine is called by LON-CAPA at </problem>
                    100: # Each applet on the page will call function ggbOnInit when it is done loading
                    101: # This function in turn will call the respective function registered by start_init_script
                    102: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
                    103: #
                    104: 
1.3       www       105: sub init_script {
1.16      www       106:    if ($#Apache::functionplotresponse::callscripts>=0) {
                    107:       my $script='';
                    108:       foreach my $id (@Apache::functionplotresponse::callscripts) {
                    109:           $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
                    110:       }
                    111:       $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
1.52      www       112:                ") { setTimeout('ggbInitAll()',200) }";
1.16      www       113:       my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 
1.3       www       114:       return (<<ENDGGBINIT);
                    115: <script type="text/javascript">
                    116: // <![CDATA[
1.16      www       117: // Function that each applet will call when loaded
                    118: // It will pass "its" parameter
                    119: // Set flags for when an applet is loaded, wait till all are loaded, and then some
1.3       www       120: function ggbOnInit(param) {
1.16      www       121: $script
                    122: }
                    123: function ggbInitAll() {
1.17      www       124: $calls
1.3       www       125: }
                    126: // ]]>
                    127: </script>
                    128: ENDGGBINIT
                    129:    }
                    130: }
                    131: 
1.5       www       132: #
                    133: # Each Geogebra applet is supposed to call this when parameters change
1.10      www       134: # Changes the hidden fields on the web page
1.5       www       135: #
                    136: sub update_script {
                    137:     my ($id)=@_;
                    138:     return (<<ENDUPDATESCRIPT);
                    139: <script type="text/javascript">
                    140: // <![CDATA[
                    141: function updatePointCoordinates_$id(coordinateName) {
                    142:             var x = document.ggbApplet_$id.getXcoord(coordinateName);
                    143:             var y = document.ggbApplet_$id.getYcoord(coordinateName);
1.9       www       144:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
                    145:             document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
1.5       www       146:         }
                    147: // ]]>
                    148: </script>
                    149: ENDUPDATESCRIPT
                    150: }
                    151: 
                    152: #
                    153: # Register the above update-handler for a variable
                    154: #
                    155: 
                    156: sub update_register {
                    157:    my ($id,$variable)=@_;
1.6       www       158:    return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
                    159: }
                    160: 
                    161: #
1.40      www       162: # Set a point coordinate variable
1.6       www       163: #
1.40      www       164: sub set_point_coordinate {
1.48      www       165:    my ($id,$variable,$x,$y,$fixed)=@_;
                    166:    my $mult=($fixed?'a*':'');
1.6       www       167:    return (<<ENDSETVARIABLE);
1.48      www       168: document.ggbApplet_$id.evalCommand("a=1");
                    169: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
1.40      www       170: document.ggbApplet_$id.setLabelVisible("$variable",false);
1.6       www       171: ENDSETVARIABLE
                    172: }
                    173: 
                    174: #
1.40      www       175: # Set a slope coordinate variable
                    176: #
                    177: sub set_slope_coordinate {
1.48      www       178:    my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
1.40      www       179:    my $xvariable=$variable.'x';
                    180:    my $yvariable=$variable.'y';
                    181:    my $domain=$xmax-$xmin;
                    182:    my $range=$ymax-$ymin;
                    183:    my $xinterval=$domain/100.;
                    184:    my $yinterval=$range/200.;
1.48      www       185:    my $mult=($fixed?'a*':'');
1.40      www       186:    return (<<ENDSETSVARIABLE);
1.48      www       187: document.ggbApplet_$id.evalCommand("a=1");
1.51      www       188: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
1.40      www       189: document.ggbApplet_$id.setVisible("$xvariable", false);
                    190: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
                    191: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
                    192: document.ggbApplet_$id.setVisible("$yvariable", false);
                    193: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
1.48      www       194: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
1.40      www       195: document.ggbApplet_$id.setLabelVisible("$variable", false);
                    196: ENDSETSVARIABLE
                    197: }
                    198: 
                    199: #
1.9       www       200: # Input field name for a coordinate variable
                    201: #
                    202: 
                    203: sub field_name {
                    204:     my ($id,$variable,$name)=@_;
                    205:     return "HWVAL_$id\_$variable\_$name";
                    206: }
                    207: 
                    208: #
                    209: # Generate an input field for a coordinate variable
                    210: #
                    211: 
                    212: sub generate_input_field {
                    213:     my ($id,$variable,$x,$y)=@_;
                    214:     $Apache::functionplotresponse::inputfields.=
                    215:        "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
                    216:        "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
                    217: }
                    218: 
                    219: #
1.40      www       220: # Initialize a new point coordinate variable at set a listener on it
1.6       www       221: #
1.40      www       222: sub new_point_coordinate {
1.48      www       223:     my ($id,$variable,$x,$y,$fixed)=@_;
1.11      www       224:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
1.10      www       225:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
                    226:     }
1.11      www       227:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
1.10      www       228:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
                    229:     }
1.9       www       230:     &generate_input_field($id,$variable,$x,$y);
1.48      www       231:     return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
1.40      www       232: }
                    233: 
                    234: #
                    235: # Initialize a new slope coordinate variable at set a listener on it
                    236: #
                    237: sub new_slope_coordinate {
1.48      www       238:     my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
1.40      www       239: #
                    240: # $variable: name of the slope point
                    241: # $x, $y: coordinates of the slope point
                    242: # $pointname: name of the associated point point
                    243: # $xp $yp: coordinates of the point point
                    244: #
                    245:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
                    246:        $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
                    247:     }
                    248:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
                    249:        $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
                    250:     }
                    251:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
                    252:        $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
                    253:     }
                    254:     if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
                    255:        $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
                    256:     }
                    257: 
                    258:     &generate_input_field($id,$variable,$x,$y);
                    259:     my $xrel=$x-$xp;
                    260:     my $yrel=$y-$yp;
1.48      www       261:     return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
1.5       www       262: }
                    263: 
                    264: #
                    265: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
                    266: # It then starts the right headers
                    267: #
1.3       www       268: sub start_init_script {
                    269:     my ($id)=@_;
1.16      www       270: # Add id to the list of ggbInit_$id functions that need to be called
                    271:     push(@Apache::functionplotresponse::callscripts,$id);
1.5       www       272: # ... and open this function
1.3       www       273:     return (<<ENDSTARTINIT);
                    274: <script type="text/javascript">
                    275: // <![CDATA[
1.5       www       276: // variable that will eventually be passed back to the server
                    277: var coordinateMap_$id = [];
1.16      www       278: // flag for not loaded yet
                    279: var loaded_$id=false;
1.5       www       280: // Init-function for applet
1.3       www       281: function ggbInit_$id() {
                    282: ENDSTARTINIT
                    283: }
                    284: 
1.5       www       285: #
                    286: # This sets the axes inside ggbInit_$id
                    287: #
                    288: 
1.4       www       289: sub axes_script {
                    290:     my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
                    291:     return (<<ENDAXESSCRIPT);
                    292:             // changes (xmin, xmax, ymin, ymax)
                    293:             document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
                    294: 
                    295:             // makes the (x,y) axis (in)visible
                    296:             document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
                    297:             // makes the grid (in)visible
                    298:             document.ggbApplet_$id.setGridVisible($gvisible);
                    299: ENDAXESSCRIPT
                    300: }
                    301: 
1.14      www       302: sub axes_label {
1.45      www       303:     my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
1.14      www       304:     unless ($xlabel || $ylabel) { return ''; }
                    305:     my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
                    306:     if ($xlabel) {
1.45      www       307:       if (($ymin<0) && ($ymax>0)) {
1.14      www       308:        $return.=(<<ENDXAXISLABELSCRIPT);
                    309: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
                    310: document.ggbApplet_$id.setVisible("Xlabel",false);
                    311: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
                    312: ENDXAXISLABELSCRIPT
1.45      www       313:       } else {
                    314:        $return.=(<<ENDXOFFAXISLABEL);
                    315: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
                    316: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
                    317: ENDXOFFAXISLABEL
                    318:       }
1.14      www       319:     }
                    320:     if ($ylabel) {
1.45      www       321:       if (($xmin<0) && ($xmax>0)) {
1.14      www       322:        $return.=(<<ENDYAXISLABELSCRIPT);
                    323: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
                    324: document.ggbApplet_$id.setVisible("Ylabel",false);
                    325: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
                    326: ENDYAXISLABELSCRIPT
1.45      www       327:       } else {
                    328:        $return.=(<<ENDYOFFAXISLABEL);
                    329: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
                    330: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
                    331: ENDYOFFAXISLABEL
                    332:       }
1.14      www       333:     }
                    334:     return $return;
                    335: }
                    336: 
1.58      www       337: #
                    338: # Subroutine to produce background and answer plots
                    339: #
                    340: 
1.4       www       341: sub plot_script {
1.47      www       342:    my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
1.41      www       343:    $label=~s/\W//g;
                    344:    if (($label) && ($label!~/^[A-Za-z]/)) {
                    345:       $label='C'.$label;
                    346:    }
                    347:    my $visible=0;
                    348:    if ($label) {
                    349:       $visible="1";
                    350:    } else {
                    351:       $Apache::functionplotresponse::counter++;
                    352:       $label='C'.$Apache::functionplotresponse::counter;
                    353:    }
1.46      www       354:    my $rc=0;
                    355:    my $gc=0;
                    356:    my $bc=0;
                    357:    if ($color) {
                    358:       my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
                    359:       $rc=hex($rh);
                    360:       $gc=hex($gh);
                    361:       $bc=hex($bh);
                    362:    }
1.6       www       363:    if ($fixed) {
1.43      www       364:       return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
1.46      www       365:              ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
1.47      www       366:              ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
                    367:              ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
1.6       www       368:    } else {
1.46      www       369:        return "document.ggbApplet_$id.evalCommand('y=$function');\n";
1.6       www       370:    }
1.4       www       371: }
                    372: 
1.5       www       373: #
1.58      www       374: # Answer spline display
                    375: # 
                    376: # points: x,y,slope_x,slope_y
                    377: 
                    378: sub answer_spline_script {
                    379:    my ($id,@points)=@_;
                    380:    my $order=int(($#points+1)/4);
                    381:    if ($order<2) { $order=2; }
                    382:    if ($order>8) { $order=8; }
                    383:    $Apache::functionplotresponse::counter++;
1.60      www       384:    my $label='CSpline'.$Apache::functionplotresponse::counter;
1.59      www       385:    my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
                    386:    for (my $i=0;$i<=$#points;$i+=4) {
                    387:       $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
                    388:    }
                    389:    $output=~s/\,$//;
                    390:    $output.=']");'."\n";
                    391:    for (my $i=2; $i<2*$order; $i+=2) {
1.61      www       392:        $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
1.59      www       393:    }
1.60      www       394:    for (my $i=1; $i<2*$order; $i+=2) {
1.61      www       395:        $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
1.60      www       396:    }
                    397: 
1.59      www       398:    return $output;
1.58      www       399: }
                    400: 
                    401: #
1.7       www       402: # Subroutine that generates code for spline $label based on stored information
1.6       www       403: #
                    404: 
                    405: sub generate_spline {
1.48      www       406:    my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
1.6       www       407:    my $result='';
1.7       www       408:    my $order=$Apache::functionplotresponse::splineorder{$label};
                    409:    my $x=$Apache::functionplotresponse::splineinitx{$label};
                    410:    my $y=$Apache::functionplotresponse::splineinity{$label};
                    411:    my $sx=$Apache::functionplotresponse::splinescalex{$label};
                    412:    my $sy=$Apache::functionplotresponse::splinescaley{$label};
                    413:    my @coords=();
                    414:    foreach my $i (1..$order) {
1.48      www       415:        $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
1.40      www       416:        my $xp=$x;
1.8       www       417:        $x+=$sx/(2.*($order-1));
1.7       www       418:        push(@coords,$label.'P'.$i);
1.48      www       419:        $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
1.8       www       420:        $x+=$sx/(2.*($order-1));
1.7       www       421:        push(@coords,$label.'S'.$i);
                    422:    }
                    423:    $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
1.6       www       424:    return $result;
                    425: }
                    426: #
                    427: # <backgroundplot function="..." fixed="yes/no" />
1.5       www       428: #
1.4       www       429: sub start_backgroundplot {
                    430:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    431:    my $result='';
                    432:    my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
                    433:    my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
1.47      www       434:    my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
                    435:    my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
1.41      www       436:    my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
1.46      www       437:    my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
                    438:    $color=~s/[^a-fA-F0-9]//gs;
                    439:    unless (length($color)==6) { $color=''; }
1.6       www       440:    my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
                    441:  
1.4       www       442:    unless ($function) { $function="0"; }
                    443:    if ($target eq 'web') {
1.41      www       444:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
1.47      www       445:       unless (defined($xinitial)) { $xinitial=$xmin; }
                    446:       unless (defined($xfinal)) { $xfinal=$xmax; }
                    447:       $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
1.13      www       448:    } elsif ($target eq 'edit') {
                    449:         $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
                    450:              &Apache::edit::text_arg('Function:','function',
                    451:                                      $token,'16').
1.47      www       452:              &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
                    453:                                      $token,'8').
                    454:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
                    455:                                      $token,'8').
1.41      www       456:              &Apache::edit::text_arg('Label on Plot:','label',
                    457:                                      $token,'8').
1.46      www       458:              &Apache::edit::text_arg('Color (hex code):','color',
                    459:                                      $token,'8').
1.13      www       460:              &Apache::edit::select_arg('Fixed location:','fixed',
                    461:                                   ['yes','no'],$token).
                    462:              &Apache::edit::end_row();
                    463:   } elsif ($target eq 'modified') {
                    464:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.47      www       465:                                                  $safeeval,'function','label','xinitial','xfinal','color','fixed');
1.13      www       466:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    467:   }
                    468:   return $result;
1.4       www       469: }
                    470: 
                    471: sub end_backgroundplot {
1.13      www       472:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    473:    my $result='';
                    474:    if ($target eq 'edit') {
                    475:        $result=&Apache::edit::end_table();
                    476:    }
                    477:    return $result;
1.6       www       478: }
                    479: 
                    480: #
1.25      www       481: # <functionplotrule ... />
1.12      www       482: #
1.25      www       483: sub start_functionplotrule {
1.12      www       484:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    485:    my $result='';
1.24      www       486:    my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
                    487:    $Apache::functionplotresponse::counter++;
                    488:    if ($label=~/\W/) {
1.25      www       489:       &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1.24      www       490:    }
                    491:    $label=~s/\W//gs;
                    492:    unless ($label) {
                    493:       $label='R'.$Apache::functionplotresponse::counter;
                    494:    } else {
                    495:       $label='R'.$label;
                    496:    }
                    497:    if ($Apache::functionplotresponse::splineorder{$label}) {
1.25      www       498:        &Apache::lonxml::error(&mt('Rule indices must be unique.'));
1.24      www       499:    }
                    500: 
                    501: 
                    502:    if ($target eq 'grade') {
                    503: # Simply remember - in order - for later
1.25      www       504:       my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
                    505:       my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
1.24      www       506:       if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
1.25      www       507:           &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
1.24      www       508:       }
                    509:       $beginninglabel=~s/\W//gs;
                    510:       $endinglabel=~s/\W//gs;
                    511:       my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
                    512:       $relationship=~s/\W//gs;
                    513:       $relationship=lc($relationship);
                    514:       unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
1.25      www       515:           &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
1.24      www       516:           $relationship='eq';
                    517:       }
1.35      www       518:       my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
1.42      www       519:       unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
1.25      www       520:          &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
1.24      www       521:          $derivative=0;
                    522:       }
1.25      www       523:       push(@Apache::functionplotresponse::functionplotrules,join(':',(
1.24      www       524:            $label,
                    525:            $derivative,
1.25      www       526:            &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
1.24      www       527:            $beginninglabel,
1.25      www       528:            &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
1.24      www       529:            $endinglabel,
1.35      www       530:            &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
                    531:            &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
1.24      www       532:            $relationship,
1.33      www       533:            &Apache::lonxml::get_param('value',$parstack,$safeeval),
                    534:            &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
1.24      www       535:           )));
                    536:    } elsif ($target eq 'edit') {
1.29      www       537:         $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
1.36      www       538:              &Apache::edit::text_arg('Index/Name:','index',
                    539:                                      $token,'10').'&nbsp;'.
1.35      www       540:              &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
1.29      www       541:                                   [['0','Function itself'],
                    542:                                    ['1','First derivative'],
1.42      www       543:                                    ['2','Second derivative'],
                    544:                                    ['-1','Integral']],$token).'<br />'.
1.44      www       545:              &Apache::edit::text_arg('Initial x-value:','xinitial',
1.35      www       546:                                       $token,'8').
1.44      www       547:              &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
                    548:                                                [['start','Start of Plot'],
                    549:                                                 ['end','End of Plot']],$token,'8').'<br />'.
1.30      www       550: 
1.44      www       551:              &Apache::edit::text_arg('Final x-value (optional):','xfinal',
1.35      www       552:                                       $token,'8').
1.44      www       553:              &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
1.32      www       554:                                                [['end','End of Plot']],$token,'8').'<br />'.
1.44      www       555:              &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
1.35      www       556:                                      $token,'8').
1.44      www       557:              &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
1.35      www       558:                                      $token,'8').'<br />'.
1.38      www       559:              &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
1.29      www       560:                                   [['eq','equal'],
                    561:                                    ['ne','not equal'],
                    562:                                    ['ge','greater than or equal'],
                    563:                                    ['gt','greater than'],
                    564:                                    ['lt','less than'],
                    565:                                    ['le','less than or equal']],$token).
                    566:              $result.= &Apache::edit::select_or_text_arg('Value:','value',
1.65    ! www       567:                                                [['undef','not defined']],$token,'30').
1.29      www       568:              &Apache::edit::text_arg('Percent error:','percenterror',
1.35      www       569:                                      $token,'8').
1.29      www       570:              &Apache::edit::end_row();
                    571:   } elsif ($target eq 'modified') {
1.54      www       572:     if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
1.53      www       573:        $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
                    574:     }
1.54      www       575:     if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
1.53      www       576:        $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
                    577:     }
1.29      www       578:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.35      www       579:                                                  $safeeval,'index','derivativeorder',
                    580:                                                            'xinitial','xinitiallabel','xfinal','xfinallabel',
                    581:                                                            'minimumlength','maximumlength',
                    582:                                                            'relationship','value','percenterror');
1.29      www       583:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1.13      www       584:    }
1.12      www       585:    return $result;
                    586: }
                    587: 
1.25      www       588: sub end_functionplotrule {
1.13      www       589:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    590:    my $result='';
                    591:    if ($target eq 'edit') {
                    592:        $result=&Apache::edit::end_table();
                    593:    }
                    594:    return $result;
1.12      www       595: }
                    596: 
                    597: 
                    598: #
1.23      www       599: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
1.6       www       600: #
                    601: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
                    602: #
                    603: sub start_spline {
                    604:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1.13      www       605:    my $result='';
                    606:    if ($target eq 'web') {
1.23      www       607:       my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1.13      www       608:       $Apache::functionplotresponse::counter++;
                    609:       if ($label=~/\W/) {
1.23      www       610:          &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
1.13      www       611:       }
                    612:       $label=~s/\W//gs;
1.23      www       613:       unless ($label) { 
                    614:          $label='S'.$Apache::functionplotresponse::counter; 
                    615:       } else {
                    616:          $label='S'.$label;
                    617:       }
1.13      www       618:       if ($Apache::functionplotresponse::splineorder{$label}) {
1.23      www       619:          &Apache::lonxml::error(&mt('Spline indices must be unique.'));
1.13      www       620:       }
                    621: 
                    622:       my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
                    623:       if ($order<2) { $order=2; }
                    624:       if ($order>8) { $order=8; }
                    625:       $Apache::functionplotresponse::splineorder{$label}=$order;
                    626: 
                    627:       my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
                    628:       unless ($x) { $x=0; }
                    629:       $Apache::functionplotresponse::splineinitx{$label}=$x;
                    630: 
                    631:       my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
                    632:       unless ($y) { $y=0; }
                    633:       $Apache::functionplotresponse::splineinity{$label}=$y;
                    634: 
                    635:       my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
                    636:       unless ($sx) { $sx=$order; }
                    637:       $Apache::functionplotresponse::splinescalex{$label}=$sx;
                    638: 
                    639:       my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
                    640:       unless ($sy) { $sy=2; }
                    641:       $Apache::functionplotresponse::splinescaley{$label}=$sy;
                    642:    } elsif ($target eq 'edit') {
                    643:         $result=&Apache::edit::tag_start($target,$token,'Spline').
1.23      www       644:              &Apache::edit::text_arg('Index:','index',
1.14      www       645:                                      $token,'4').'&nbsp;'.
1.13      www       646:              &Apache::edit::select_arg('Order:','order',
1.44      www       647:                                   ['2','3','4','5','6','7','8'],$token).'&nbsp;'.
1.13      www       648:              &Apache::edit::text_arg('Initial x-value:','initx',
1.14      www       649:                                      $token,'4').'&nbsp;'.
1.13      www       650:              &Apache::edit::text_arg('Initial y-value:','inity',
1.14      www       651:                                      $token,'4').'&nbsp;'.
1.13      www       652:              &Apache::edit::text_arg('Scale x:','scalex',
1.14      www       653:                                      $token,'4').'&nbsp;'.
1.13      www       654:              &Apache::edit::text_arg('Scale y:','scaley',
                    655:                                      $token,'4').
                    656:              &Apache::edit::end_row();
                    657:   } elsif ($target eq 'modified') {
                    658:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.23      www       659:                                                  $safeeval,'index','order','initx','inity',
1.13      www       660:                                                            'scalex','scaley');
                    661:     if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
                    662:   }
                    663:   return $result;
1.6       www       664: }
                    665: 
                    666: sub end_spline {
1.13      www       667:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    668:    my $result='';
                    669:    if ($target eq 'edit') {
                    670:        $result=&Apache::edit::end_table();
                    671:    }
                    672:    return $result;
1.4       www       673: }
                    674:  
1.3       www       675: sub end_init_script {
                    676:     return (<<ENDENDINIT);
                    677: }
                    678: // ]]>
                    679: </script>
                    680: ENDENDINIT
                    681: }
                    682: 
1.10      www       683: #
                    684: # Storing and restoring spline coordinates from part answers
                    685: #
                    686: sub decode_previous_answer {
                    687:    my ($answer)=@_;
                    688:    foreach my $coordinate (split(/\,/,$answer)) {
                    689:       my ($key,$value)=split(/\=/,$coordinate);
                    690:       $Apache::functionplotresponse::previous{$key}=$value;
                    691:    }
                    692: }
                    693: 
                    694: sub get_answer_from_form_fields {
                    695:    my ($id)=@_;
                    696:    my $answer='';
                    697:    my %coords=();
                    698:    foreach my $field (keys(%env)) {
                    699:       if ($field=~/^form\.HWVAL\_$id/) {
                    700:          $field=~/^form\.(.*)$/;
                    701:          $coords{$1}=$env{$field};
                    702:       }
                    703:    }
                    704:    $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
                    705:    return ($answer,%coords);
                    706: }
                    707: 
1.15      www       708: #
                    709: # The following functions calculate the cubic-hermite splines server-side
                    710: #
                    711: 
                    712: sub cubic_hermite {
                    713:    my ($t,$p1,$s1,$p2,$s2)=@_;
1.42      www       714:    return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
                    715:           (-2.*$t*$t*$t+3.*$t*$t)  *$p2 + 3.*($t*$t*$t-$t*$t)      *($s2-$p2);
1.15      www       716: }
                    717: 
                    718: #
                    719: # d/dt(...)
                    720: # 
                    721: 
                    722: sub ddt_cubic_hermite {
                    723:    my ($t,$p1,$s1,$p2,$s2)=@_;
1.42      www       724:    return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
                    725:           (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t)   *($s2-$p2);
1.15      www       726: }
                    727: 
                    728: #
                    729: # d^2/dt^2(...)
                    730: #
                    731: 
                    732: sub d2dt2_cubic_hermite {
                    733:    my ($t,$p1,$s1,$p2,$s2)=@_;
1.42      www       734:    return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
                    735:           (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
1.15      www       736: }
                    737: 
                    738: #
1.18      www       739: # Array index calculation
                    740: #
                    741: sub array_index {
                    742:    my ($xmin,$xmax,$x)=@_;
1.38      www       743:    if ($x ne '') {
                    744:       return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
                    745:    } else {
                    746:       return undef;
                    747:    }
1.20      www       748: }
                    749: 
                    750: #
1.18      www       751: # Populate the arrays
                    752: #
                    753: 
                    754: sub populate_arrays {
1.64      www       755:     my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
1.26      www       756:     for (my $i=0; $i<=400; $i++) {
1.35      www       757:        $Apache::functionplotresponse::actualxval[$i]=undef;
1.19      www       758:        $Apache::functionplotresponse::func[$i]=undef;
1.22      www       759:        $Apache::functionplotresponse::dfuncdx[$i]=undef;
1.19      www       760:        $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1.18      www       761:     }
1.19      www       762:     unless ($xmax>$xmin) { return 'no_func'; }
1.18      www       763: # Run over all splines in response
                    764:     foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1.19      www       765:         my $xiold=-1;
1.18      www       766: # Run over all points in spline
1.19      www       767:         for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1.18      www       768:             my $ni=$i+1;
                    769:             my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
                    770:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
                    771:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
                    772:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
                    773:             my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
                    774:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
                    775:                         $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
                    776:                         $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
                    777: # Run in small steps over spline parameter
1.26      www       778:             for (my $t=0; $t<=1; $t+=0.0001) {
1.35      www       779:                 my $xreal=&cubic_hermite($t,@xparms);
                    780:                 my $xi=&array_index($xmin,$xmax,$xreal);
1.19      www       781:                 if ($xi<$xiold) { return 'no_func'; }
1.26      www       782:                 if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
1.18      www       783:                    $xiold=$xi;
1.35      www       784:                    $Apache::functionplotresponse::actualxval[$xi]=$xreal;
1.22      www       785: # Function value
1.30      www       786:                    my $funcval=&cubic_hermite($t,@yparms);
1.64      www       787: 
                    788: # Do we already have a value for this point, and is it different from the new one?
                    789:                    if ((defined($Apache::functionplotresponse::func[$xi])) &&
                    790:                        (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 
                    791:                        return 'no_func'; 
                    792:                    }
                    793: # Okay, remember the new point
1.30      www       794:                    $Apache::functionplotresponse::func[$xi]=$funcval;
1.64      www       795: 
1.30      www       796:                    if (defined($funcval)) {
                    797:                       if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
                    798:                          $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
                    799:                       }
                    800:                       if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
                    801:                          $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
                    802:                       }
                    803:                    }
1.28      www       804: # Chain rule
1.22      www       805: # dy/dx=dy/dt/(dx/dt)
                    806:                    my $dxdt=&ddt_cubic_hermite($t,@xparms);
                    807:                    if ($dxdt) {
                    808:                       $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
1.34      www       809: # Second derivative
1.28      www       810:                       $Apache::functionplotresponse::d2funcdx2[$xi]=
1.34      www       811:                          ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
                    812:                          ($dxdt*$dxdt*$dxdt);
1.22      www       813:                    }
1.18      www       814:                 }
                    815:             }
                    816:         }
                    817:     }
                    818: }
                    819: 
                    820: #
1.37      www       821: # Implementation of <functionplotresponse>
1.15      www       822: #
                    823: 
1.1       www       824: sub start_functionplotresponse {
                    825:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                    826:   my $result='';
1.6       www       827: # To remember the splines - somehow, they need to come last
                    828:   undef %Apache::functionplotresponse::splineorder;
                    829:   undef %Apache::functionplotresponse::splineinitx;
                    830:   undef %Apache::functionplotresponse::splineinity;
                    831:   undef %Apache::functionplotresponse::splinescalex;
                    832:   undef %Apache::functionplotresponse::splinescaley;
1.10      www       833: # Remember input fields, etc
                    834:   undef %Apache::functionplotresponse::previous;
1.9       www       835:   $Apache::functionplotresponse::inputfields='';
1.6       www       836:   $Apache::functionplotresponse::counter=0;
1.24      www       837: # Remember rules
1.25      www       838:   undef @Apache::functionplotresponse::functionplotrules;
1.37      www       839: # Remember failed rules
                    840:   if ($target eq 'grade') {
                    841:      undef @Apache::functionplotresponse::failedrules;
                    842:   }
                    843: # Delete previous awards
                    844:   undef $Apache::functionplotresponse::awarddetail;
1.10      www       845: # Part and ID
                    846:   my $partid=$Apache::inputtags::part;
                    847:   my $id=&Apache::response::start_response($parstack,$safeeval);
1.6       www       848: # Internal ID to mark the applet and its coordinates
1.10      www       849:   my $internalid = $partid.'_'.$id;
                    850: # Previous answer
                    851:   &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
                    852: 
1.6       www       853: # Parameters of <functionplotresponse>
1.41      www       854:   my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
1.6       www       855:   my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    856:   my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
                    857:   my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1.14      www       858:   my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
                    859:   my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1.12      www       860:   if ($target eq 'edit') {
                    861:     $result.=&Apache::edit::start_table($token)
                    862:        .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
                    863:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1.37      www       864:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'
1.50      www       865:        .&Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
                    866:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
1.12      www       867:        .'</span></td>'
                    868:        ."<td>&nbsp;"
                    869:        .&Apache::edit::end_row()
                    870:        .&Apache::edit::start_spanning_row()
                    871:        ."\n";
1.14      www       872:     $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
                    873:                                      $token,'6').'&nbsp;'.
                    874:              &Apache::edit::text_arg('Minimum x-value:','xmin',
                    875:                                      $token,'4').'&nbsp;'.
1.12      www       876:              &Apache::edit::text_arg('Maximum x-value:','xmax',
1.14      www       877:                                      $token,'4').'&nbsp;'.
1.12      www       878:              &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1.32      www       879:                                   ['yes','no'],$token).'<br />'.
1.14      www       880:              &Apache::edit::text_arg('Label y-axis:','ylabel',
                    881:                                      $token,'6').'&nbsp;'.
1.12      www       882:              &Apache::edit::text_arg('Minimum y-value:','ymin',
1.14      www       883:                                      $token,'4').'&nbsp;'.
1.12      www       884:              &Apache::edit::text_arg('Maximum y-value:','ymax',
1.14      www       885:                                      $token,'4').'&nbsp;'.
1.12      www       886:              &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1.32      www       887:                                   ['yes','no'],$token).'<br />'.
1.12      www       888:              &Apache::edit::select_arg('Grid visible:','gridvisible',
1.47      www       889:                                   ['yes','no'],$token).'<br />'.
1.58      www       890:              &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
1.63      raeburn   891:                                          'answerdisplay',$token,'50').
1.12      www       892:              &Apache::edit::end_row().&Apache::edit::start_spanning_row();
                    893:   } elsif ($target eq 'modified') {
                    894:     my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.14      www       895:                                                  $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
1.47      www       896:                                                            'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
1.12      www       897:     if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1.3       www       898: 
1.12      www       899:   } elsif ($target eq 'meta') {
1.10      www       900:        $result=&Apache::response::meta_package_write('functionplotresponse');
1.35      www       901:   } elsif (($target eq 'answer') &&
                    902:             ($env{'form.answer_output_mode'} ne 'tex') &&
                    903:             ($Apache::lonhomework::viewgrades == 'F')) {
                    904:       my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
                    905:       my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
                    906:       my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
                    907:                                                {'only_body' => 1,
                    908:                                                 'bgcolor'   => '#FFFFFF',
                    909:                                                 'js_ready'  => 1,});
                    910:       my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
                    911:       $uname =~s/\W//g;
                    912:       $udom  =~s/\W//g;
                    913:       my $function_name =
                    914:                 join('_','LONCAPA_scriptvars',$uname,$udom,
                    915:                      $env{'form.counter'},$Apache::lonxml::curdepth);
                    916:       my $rules_var ="<script type=\"text/javascript\">
                    917: // <![CDATA[
                    918:     function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
                    919:     $Apache::functionplotresponse::ruleslog.
                    920:     "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
                    921: // ]]>
                    922: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
                    923:             &Apache::lonxml::add_script_result($rules_var);
                    924:         }
                    925: 
1.1       www       926:   return $result;
                    927: }
                    928: 
1.25      www       929: sub compare_rel {
1.26      www       930:    my ($relationship,$value,$realval,$tol)=@_;
1.36      www       931: # is the real value undefined?
1.26      www       932:    unless (defined($realval)) {
1.36      www       933: # the real value is not defined
1.26      www       934:       if ($relationship eq 'eq') {
                    935:          if ($value eq 'undef') {
                    936:             return 1;
                    937:          } else {
                    938:             return 0;
                    939:          }
                    940:       } elsif ($relationship eq 'ne') {
                    941:          if ($value eq 'undef') {
                    942:             return 0;
                    943:          } else {
                    944:             return 1;
                    945:          }
                    946:       } else {
                    947:          return 0;
                    948:       }
                    949:    }
                    950: 
1.36      www       951: # is the expected value undefined?
                    952:    if ($value eq 'undef') {
                    953: # but by now we know that the real value is defined
                    954:       return 0;
                    955:    }
                    956: 
                    957: # both are defined.
1.26      www       958:    if ($relationship eq 'gt') {
                    959:       return ($realval>$value);
                    960:    } elsif ($relationship eq 'ge') {
                    961:       return ($realval>$value-$tol);
                    962:    } elsif ($relationship eq 'lt') {
                    963:       return ($realval<$value);
                    964:    } elsif ($relationship eq 'le') {
                    965:       return ($realval<$value+$tol);
                    966:    } elsif ($relationship eq 'ne') {
                    967:       return (abs($value-$realval)>$tol);
                    968:    } else {
                    969:       return (abs($value-$realval)<$tol);
                    970:    }
1.25      www       971:    return 0;
                    972: }
                    973: 
1.35      www       974: sub addlog {
                    975:    my ($text)=@_;
                    976:    $Apache::functionplotresponse::ruleslog.=$text.'<br />';
                    977: }
                    978: 
                    979: sub actualval {
                    980:    my ($i,$xmin,$xmax)=@_;
                    981:    return $xmin+$i/400.*($xmax-$xmin);
                    982: }
1.65    ! www       983: 
        !           984: sub fpr_f {
        !           985:    my ($arg)=@_;
        !           986:    return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
        !           987:                                                            $Apache::functionplotresponse::fpr_xmax,
        !           988:                                                            $arg)];
        !           989: }
        !           990: 
        !           991: sub fpr_dfdx {
        !           992:    my ($arg)=@_;
        !           993:    return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
        !           994:                                                               $Apache::functionplotresponse::fpr_xmax,
        !           995:                                                               $arg)];
        !           996: }
        !           997: 
        !           998: sub fpr_d2fdx2 {
        !           999:    my ($arg)=@_;
        !          1000:    return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
        !          1001:                                                                 $Apache::functionplotresponse::fpr_xmax,
        !          1002:                                                                 $arg)];
        !          1003: }
1.35      www      1004:  
1.25      www      1005: sub functionplotrulecheck {
1.65    ! www      1006:    my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1.33      www      1007: 
1.35      www      1008:    my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
1.25      www      1009:       =split(/\:/,$rule);
1.33      www      1010:    $percent=($percent>0?$percent:5);
1.35      www      1011:    &addlog("=================");
1.42      www      1012:    &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
1.65    ! www      1013: #
        !          1014: # Evaluate the value
        !          1015: #
        !          1016:    if ($value=~/\D/) {
        !          1017:       $Apache::functionplotresponse::fpr_xmin=$xmin;
        !          1018:       $Apache::functionplotresponse::fpr_xmax=$xmax;
        !          1019:       $value=&Apache::run::run($value,$safeeval);
        !          1020:       &addlog("Value evaluated to $value");
        !          1021:    }
        !          1022: 
        !          1023: #
        !          1024: # Minimum and maximum lengths of the interval
        !          1025: #
1.49      www      1026:    if ((defined($minimumlength)) || (defined($maximumlength))) {
                   1027:       &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
                   1028:    }
1.30      www      1029:    my $li=0;
                   1030:    my $lh=400;
                   1031: 
1.31      www      1032: # Special case: the upper boundary was not defined
                   1033: # and needs to be set to the value where
                   1034: # the condition is not true anymore => set flag
                   1035: 
                   1036:    my $findupper=0;
                   1037:    if (($xfinal eq '')
                   1038:     && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
                   1039:     && ($xfinallabel)) {
                   1040:        $findupper=1;
                   1041:    }
                   1042: 
1.25      www      1043: # if a hard value is set for the boundaries, it overrides the label
1.30      www      1044:    if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
                   1045:       $li=&array_index($xmin,$xmax,$xinitial);
                   1046:       $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
                   1047:    }
                   1048:    if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
                   1049:       $lh=&array_index($xmin,$xmax,$xfinal);
                   1050:       $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
1.25      www      1051:    }
1.31      www      1052: # if the label is defined, use it
1.25      www      1053:    if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
1.35      www      1054:       &addlog("Using lower label $xinitiallabel");
1.30      www      1055:       $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
                   1056:    } else {
                   1057:       $li=&array_index($xmin,$xmax,$xinitial);
1.25      www      1058:    }
1.31      www      1059:    unless ($findupper) {
                   1060:       if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
1.35      www      1061:          &addlog("Using upper label $xfinallabel");
1.33      www      1062:          $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
1.31      www      1063:       } else {
                   1064:          $lh=&array_index($xmin,$xmax,$xfinal);
                   1065:       }
1.25      www      1066:    }
                   1067: # Basic sanity checks
1.30      www      1068:    if ($li<0) { $li=0; }
                   1069:    if ($lh>400) { $lh=400; }
1.38      www      1070:    if (($li>$lh) || (!defined($lh))) {
1.30      www      1071:        $lh=$li;
1.25      www      1072:    }
1.31      www      1073: 
1.35      www      1074:    &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
                   1075:                             &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
                   1076:    if ($findupper) {
                   1077:       &addlog("Looking for label $xfinallabel");
                   1078:    }
1.33      www      1079:    my $tol=$percent*($ymax-$ymin)/100;
                   1080:    if ($xmax>$xmin) {
                   1081:       if ($derivative==2) {
                   1082:          $tol=4.*$tol/($xmax-$xmin);
                   1083:       } elsif ($derivative==1) {
                   1084:          $tol=2.*$tol/($xmax-$xmin);
1.42      www      1085:       } elsif ($derivative==-1) {
                   1086:          $tol=$tol*($xmax-$xmin)/2.;
1.33      www      1087:       }
1.27      www      1088:    }
1.42      www      1089:    my $integral=0;
                   1090:    my $binwidth=($xmax-$xmin)/400.;
                   1091:    if (($derivative<0) && (!$findupper)) {
                   1092: # definite integral, calculate over whole length
                   1093:      &addlog("Calculating definite integral");
                   1094:      for (my $i=$li; $i<=$lh; $i++) {
                   1095:         $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
                   1096:      }
                   1097:      unless (&compare_rel($relationship,$value,$integral,$tol)) {
                   1098:         &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
                   1099:         &addlog("Rule $label failed.");
                   1100:         my $hintlabel=$label;
                   1101:         $hintlabel=~s/^R//;
                   1102:         push(@Apache::functionplotresponse::failedrules,$hintlabel);
                   1103:         &addlog("Set hint condition $hintlabel");
                   1104:         return 0;
                   1105:      } 
                   1106:    } else {
                   1107:      for (my $i=$li; $i<=$lh; $i++) {
1.25      www      1108:         my $val;
                   1109:         if ($derivative==2) {
1.27      www      1110:            $val=$Apache::functionplotresponse::d2funcdx2[$i];
1.25      www      1111:         } elsif ($derivative==1) {
1.27      www      1112:            $val=$Apache::functionplotresponse::dfuncdx[$i];
1.42      www      1113:         } elsif ($derivative==-1) {
                   1114:            $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
                   1115:            $val=$integral;      
1.25      www      1116:         } else {
1.27      www      1117:            $val=$Apache::functionplotresponse::func[$i];
1.25      www      1118:         }
1.31      www      1119:         unless (&compare_rel($relationship,$value,$val,$tol)) { 
1.37      www      1120:            &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1.35      www      1121:            &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1.31      www      1122:            if (($findupper) && ($i>$li)) {
1.49      www      1123: # Check lengths
                   1124:               unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
                   1125: # Successfully found a new label, set it
1.31      www      1126:               $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1.35      www      1127:               &addlog("Rule $label passed, setting label $xfinallabel");
1.31      www      1128:               return 1;
                   1129:            } else {
1.35      www      1130:               &addlog("Rule $label failed.");
1.49      www      1131:               &setfailed($label);
1.31      www      1132:               return 0; 
                   1133:            }
                   1134:         }
1.42      www      1135:      }
1.25      www      1136:    }
1.49      www      1137: # Corner case where this makes sense: using start or stop as defined labels
                   1138:    unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1.35      www      1139:    &addlog("Rule $label passed.");
1.27      www      1140:    return 1;
1.24      www      1141: }
                   1142: 
1.49      www      1143: #
                   1144: # check for minimum and maximum lengths
                   1145: #
                   1146: 
                   1147: sub checklength {
                   1148:     my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
                   1149:     unless (($minimumlength) || ($maximumlength)) { return 1; }
                   1150:     my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
                   1151:     if ($minimumlength) {
                   1152:        if ($length<$minimumlength) {
                   1153:           &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
                   1154:           &setfailed($label);
                   1155:           return 0;
                   1156:        }
                   1157:     }
                   1158:     if ($maximumlength) {
                   1159:        if ($length>$maximumlength) {
                   1160:           &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
                   1161:           &setfailed($label);
                   1162:           return 0;
                   1163:        }
                   1164:     }
                   1165:     return 1;
                   1166: }
                   1167: 
                   1168: sub setfailed {
                   1169:    my ($label)=@_;
                   1170:    my $hintlabel=$label;
                   1171:    $hintlabel=~s/^R//;
                   1172:    push(@Apache::functionplotresponse::failedrules,$hintlabel);
                   1173:    &addlog("Set hint condition $hintlabel");
                   1174: }
                   1175: 
1.37      www      1176: sub start_functionplotruleset {
                   1177:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                   1178:    if ($target eq 'edit') {
                   1179:       return &Apache::edit::start_table($token).
                   1180:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
                   1181:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
                   1182:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
1.50      www      1183:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
                   1184:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
1.37      www      1185:        .'</span></td>'
                   1186:        ."<td>&nbsp;"
                   1187:        .&Apache::edit::end_row()
                   1188:        .&Apache::edit::start_spanning_row()
                   1189:        ."\n";
                   1190:    }
                   1191: }
1.3       www      1192: 
1.37      www      1193: sub end_functionplotruleset {
                   1194:     my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
                   1195:     my $id=$Apache::inputtags::response[-1];
                   1196:     my $partid=$Apache::inputtags::part;
                   1197:     my $internalid = $partid.'_'.$id;
                   1198: 
                   1199:     if ($target eq 'edit' ) {
                   1200:         return &Apache::edit::end_table();
                   1201:     }  elsif ($target eq 'grade'
1.10      www      1202:          && &Apache::response::submitted()
                   1203:          && $Apache::lonhomework::type ne 'exam') {
1.12      www      1204: #
                   1205: # Actually grade
                   1206: #
1.41      www      1207:     my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1.27      www      1208: 
1.24      www      1209:         my $ad='';
1.30      www      1210:         undef  %Apache::functionplotresponse::functionplotrulelabels;
1.35      www      1211:         $Apache::functionplotresponse::ruleslog='';
1.30      www      1212:         $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
                   1213:         $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
1.64      www      1214:         if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
1.21      www      1215:            $ad='NOT_FUNCTION';
1.18      www      1216:         } else {
1.35      www      1217:            &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
                   1218:                                         $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
                   1219:            &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
                   1220:                                         $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
                   1221: 
1.24      www      1222: # We have a function that we can actually grade, go through the spline rules.
1.25      www      1223:            foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
1.65    ! www      1224:               unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
1.24      www      1225:                  $ad='INCORRECT';
                   1226:                  last;
                   1227:               }
                   1228:            }
                   1229: # If it's not wrong, it's correct 
                   1230:            unless ($ad) { $ad='EXACT_ANS' };
1.18      www      1231:         }
1.37      www      1232:         &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
                   1233:         &addlog("Assigned award detail: $ad");
                   1234: # Store for later to be assigned at end_functionplotresponse
                   1235:         $Apache::functionplotresponse::awarddetail=$ad;
                   1236:      }
                   1237: }
                   1238: 
                   1239: 
                   1240: sub end_functionplotresponse {
                   1241:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                   1242:   &Apache::response::end_response;
                   1243: 
                   1244:   my $result;
                   1245:   my $id=$Apache::inputtags::response[-1];
                   1246:   my $partid=$Apache::inputtags::part;
                   1247:   my $internalid = $partid.'_'.$id;
1.20      www      1248: 
1.37      www      1249:     if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
                   1250:     if ($target eq 'grade'
                   1251:          && &Apache::response::submitted()
                   1252:          && $Apache::lonhomework::type eq 'exam') {
                   1253: 
                   1254:         &Apache::response::scored_response($partid,$id);
                   1255: 
                   1256:     } elsif ($target eq 'grade'
                   1257:          && &Apache::response::submitted()
                   1258:          && $Apache::lonhomework::type ne 'exam') {
                   1259:         my ($response,%coords)=&get_answer_from_form_fields($internalid);
                   1260:         $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
                   1261:         my %previous=&Apache::response::check_for_previous($response,$partid,$id);
                   1262: #
                   1263: # Assign grade
                   1264: #
                   1265:         my $ad=$Apache::functionplotresponse::awarddetail;
1.12      www      1266: #
                   1267: # Store grading info
                   1268: #
                   1269:         $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
                   1270:         &Apache::response::handle_previous(\%previous,$ad);
1.10      www      1271:    } elsif ($target eq 'web') {
1.37      www      1272:         undef @Apache::functionplotresponse::failedrules;
                   1273:    }
                   1274:    return $result;
                   1275: }
                   1276: 
                   1277: sub end_functionplotelements {
                   1278:   my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
                   1279:   my $result='';
                   1280:   my $id=$Apache::inputtags::response[-1];
                   1281:   my $partid=$Apache::inputtags::part;
                   1282:   my $internalid = $partid.'_'.$id;
                   1283:   if ($target eq 'edit' ) {
                   1284:      $result=&Apache::edit::end_table();
                   1285:   } elsif ($target eq 'web') {
1.47      www      1286:      my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
                   1287: 
                   1288: # Are we in show answer mode?
                   1289:      my $showanswer=&Apache::response::show_answer();
                   1290:      if ($showanswer) {
                   1291: # Render answerdisplay
                   1292:         my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
                   1293:         if ($answerdisplay=~/\S/s) {
                   1294:            foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
1.58      www      1295:               my @components=split(/\s*\:\s*/,$plot);
                   1296:               if ($#components<3) {
                   1297: # Just a simple plot
                   1298:                  my ($func,$xl,$xh)=@components;
                   1299:                  if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
                   1300:                  if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
                   1301:                  $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
                   1302:               } else {
                   1303: # This is a spline
1.59      www      1304:                  $result.=&answer_spline_script($internalid,@components);
1.58      www      1305:               }
1.47      www      1306:            }
                   1307:         }
                   1308:      }
1.48      www      1309:      my $fixed=0;
                   1310:      if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
1.6       www      1311: # Now is the time to render all of the stored splines
                   1312:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
1.48      www      1313:         $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
1.6       www      1314:      }
1.5       www      1315: # close the init script
1.3       www      1316:      $result.=&end_init_script();
1.17      www      1317: # register all splines in this response 
                   1318:      $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
                   1319:                  join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
                   1320:      foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
                   1321:         $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
                   1322:                  $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
                   1323:      }
1.9       www      1324: # generate the input fields
                   1325:      $result.=$Apache::functionplotresponse::inputfields;
1.5       www      1326: # actually start the <applet>-tag
1.3       www      1327:      $result.=&geogebra_startcode($internalid);
1.5       www      1328: # load the spline bytecode
1.3       www      1329:      $result.=&geogebra_spline_program();
1.5       www      1330: # set default parameters
1.3       www      1331:      $result.=&geogebra_default_parameters($internalid);
1.5       www      1332: # close the <applet>-tag
1.1       www      1333:      $result.=&geogebra_endcode();
                   1334:   }
                   1335:   return $result;
                   1336: }
                   1337: 
1.41      www      1338: sub boundaries {
                   1339:    my ($parstack,$safeeval,$level)=@_;
                   1340:    my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
                   1341:    $xmin=(defined($xmin)?$xmin:-10);
                   1342:    my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
                   1343:    $xmax=(defined($xmax)?$xmax:10);
                   1344:    my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
                   1345:    $ymin=(defined($ymin)?$ymin:-10);
                   1346:    my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
                   1347:    $ymax=(defined($ymax)?$ymax:10);
                   1348:    if ($xmax<=$xmin) {
                   1349:       $xmax=$xmin+20;
                   1350:    }
                   1351:    if ($ymax<=$ymin) {
                   1352:       $ymax=$ymin+20;
                   1353:    }
                   1354:    return ($xmin,$xmax,$ymin,$ymax);
                   1355: }
                   1356: 
1.37      www      1357: sub start_functionplotelements {
                   1358:    my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
                   1359:    my $result='';
                   1360:    my $id=$Apache::inputtags::response[-1];
                   1361:    my $partid=$Apache::inputtags::part;
                   1362:    my $internalid = $partid.'_'.$id;
                   1363: 
                   1364:    if ($target eq 'edit') {
                   1365:       return &Apache::edit::start_table($token).
                   1366:         '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
                   1367:        .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
                   1368:        .&Apache::edit::deletelist($target,$token).'&nbsp;&nbsp;&nbsp;'.
1.50      www      1369:         &Apache::edit::insertlist($target,$token).'&nbsp;&nbsp;&nbsp;'
                   1370:        .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
1.37      www      1371:        .'</span></td>'
                   1372:        ."<td>&nbsp;"
                   1373:        .&Apache::edit::end_row()
                   1374:        .&Apache::edit::start_spanning_row()
                   1375:        ."\n";
                   1376:    } elsif ($target eq 'web') {
1.41      www      1377:       my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1.37      www      1378:       my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
                   1379:       my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
                   1380:       my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
                   1381:       my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
                   1382:       my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
                   1383: 
                   1384: 
                   1385: # paste in the update routine to receive stuff back from the applet
                   1386:      $result.=&update_script($internalid);
                   1387: # start the initscript for this applet
                   1388:      $result.=&start_init_script($internalid);
                   1389: # put the axis commands inside
                   1390:      $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1.45      www      1391:      $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
1.37      www      1392: # init script is left open
                   1393:   }
                   1394:   return $result;
                   1395: }
                   1396: 
1.1       www      1397: 1;
                   1398: 
                   1399: __END__
                   1400:  
                   1401: =head1 NAME
                   1402: 
                   1403: Apache::functionplotresponse.pm;
                   1404: 
                   1405: =head1 SYNOPSIS
                   1406: 
                   1407: Handles tags associated with accepting function plots.
                   1408: 
                   1409: This is part of the LearningOnline Network with CAPA project
                   1410: described at http://www.lon-capa.org.
                   1411: 
                   1412: =head1 HANDLER SUBROUTINE
                   1413: 
                   1414: start_functionplotresponse()
                   1415: 
                   1416: =head1 OTHER SUBROUTINES
                   1417: 
                   1418: =over
                   1419: 
                   1420: =item end_functionplotresponse()
                   1421: 
                   1422: =back
                   1423: 
                   1424: =cut

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