1: # LearningOnline Network with CAPA
2: # option list style responses
3: #
4: # $Id: functionplotresponse.pm,v 1.47 2010/11/24 02:53:13 www Exp $
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;
34:
35: BEGIN {
36: &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
37: 'functionplotrule','functionplotruleset',
38: 'functionplotelements'));
39: }
40:
41: #
42: # There can be a number of applets on a page, each called ggbApplet_$id,
43: # where $id is the "_"-concatenated part and responseid
44: #
45:
46: sub geogebra_startcode {
47: my ($id)=@_;
48: return (<<ENDSTARTCODE);
49: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
50: codebase="/adm/geogebra/" width="722" height="447" MAYSCRIPT>
51: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
52: ENDSTARTCODE
53: }
54:
55: sub geogebra_endcode {
56: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
57: }
58:
59: #
60: # This is the internal GeoGebra bytecode which defines the spline functions
61: #
62: sub geogebra_spline_program {
63: return (<<ENDSPLINEPROGRAM);
64: <param name="ggbBase64" value="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/>
65: ENDSPLINEPROGRAM
66: }
67:
68: #
69: # The standard set of parameters inside <applet>
70: #
71: sub geogebra_default_parameters {
72: my ($id)=@_;
73: return(<<ENDDEFAULTPARAMETERS);
74: <param name="image" value="/adm/lonIcons/lonanim.gif" />
75: <param name="boxborder" value="false" />
76: <param name="centerimage" value="true" />
77: <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" />
78: <param name="cache_version" value="3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0" />
79: <param name="framePossible" value="false" />
80:
81: <param name="showResetIcon" value="false" />
82: <param name="showAnimationButton" value="false" />
83: <param name="enableRightClick" value="false" />
84: <param name="errorDialogsActive" value="true" />
85: <param name="enableLabelDrags" value="false" />
86: <param name="showMenuBar" value="false" />
87: <param name="showToolBar" value="false" />
88: <param name="showToolBarHelp" value="false" />
89: <param name="showAlgebraInput" value="false" />
90: <param name="enableShiftDragZoom" value="false" />
91: <param name="allowRescaling" value="false" />
92: <param name="enableLabelDrags" value="false" />
93: <param name="ggbOnInitParam" value="applet_$id" />
94: ENDDEFAULTPARAMETERS
95: }
96:
97: #
98: # This subroutine is called by LON-CAPA at </problem>
99: # Each applet on the page will call function ggbOnInit when it is done loading
100: # This function in turn will call the respective function registered by start_init_script
101: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
102: #
103:
104: sub init_script {
105: if ($#Apache::functionplotresponse::callscripts>=0) {
106: my $script='';
107: foreach my $id (@Apache::functionplotresponse::callscripts) {
108: $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
109: }
110: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
111: ") { setTimeout('ggbInitAll()',20) }";
112: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts));
113: return (<<ENDGGBINIT);
114: <script type="text/javascript">
115: // <![CDATA[
116: // Function that each applet will call when loaded
117: // It will pass "its" parameter
118: // Set flags for when an applet is loaded, wait till all are loaded, and then some
119: function ggbOnInit(param) {
120: $script
121: }
122: function ggbInitAll() {
123: $calls
124: }
125: // ]]>
126: </script>
127: ENDGGBINIT
128: }
129: }
130:
131: #
132: # Each Geogebra applet is supposed to call this when parameters change
133: # Changes the hidden fields on the web page
134: #
135: sub update_script {
136: my ($id)=@_;
137: return (<<ENDUPDATESCRIPT);
138: <script type="text/javascript">
139: // <![CDATA[
140: function updatePointCoordinates_$id(coordinateName) {
141: var x = document.ggbApplet_$id.getXcoord(coordinateName);
142: var y = document.ggbApplet_$id.getYcoord(coordinateName);
143: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
144: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
145: }
146: // ]]>
147: </script>
148: ENDUPDATESCRIPT
149: }
150:
151: #
152: # Register the above update-handler for a variable
153: #
154:
155: sub update_register {
156: my ($id,$variable)=@_;
157: return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
158: }
159:
160: #
161: # Set a point coordinate variable
162: #
163: sub set_point_coordinate {
164: my ($id,$variable,$x,$y)=@_;
165: return (<<ENDSETVARIABLE);
166: document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
167: document.ggbApplet_$id.setLabelVisible("$variable",false);
168: ENDSETVARIABLE
169: }
170:
171: #
172: # Set a slope coordinate variable
173: #
174: sub set_slope_coordinate {
175: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname)=@_;
176: my $xvariable=$variable.'x';
177: my $yvariable=$variable.'y';
178: my $domain=$xmax-$xmin;
179: my $range=$ymax-$ymin;
180: my $xinterval=$domain/100.;
181: my $yinterval=$range/200.;
182: return (<<ENDSETSVARIABLE);
183: document.ggbApplet_$id.evalCommand("$xvariable=Slider[0,$domain,$xinterval]");
184: document.ggbApplet_$id.setVisible("$xvariable", false);
185: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
186: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
187: document.ggbApplet_$id.setVisible("$yvariable", false);
188: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
189: document.ggbApplet_$id.evalCommand("$variable=($xvariable+x($pointname),$yvariable+y($pointname))");
190: document.ggbApplet_$id.setLabelVisible("$variable", false);
191: ENDSETSVARIABLE
192: }
193:
194: #
195: # Input field name for a coordinate variable
196: #
197:
198: sub field_name {
199: my ($id,$variable,$name)=@_;
200: return "HWVAL_$id\_$variable\_$name";
201: }
202:
203: #
204: # Generate an input field for a coordinate variable
205: #
206:
207: sub generate_input_field {
208: my ($id,$variable,$x,$y)=@_;
209: $Apache::functionplotresponse::inputfields.=
210: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
211: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
212: }
213:
214: #
215: # Initialize a new point coordinate variable at set a listener on it
216: #
217: sub new_point_coordinate {
218: my ($id,$variable,$x,$y)=@_;
219: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
220: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
221: }
222: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
223: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
224: }
225: &generate_input_field($id,$variable,$x,$y);
226: return &set_point_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
227: }
228:
229: #
230: # Initialize a new slope coordinate variable at set a listener on it
231: #
232: sub new_slope_coordinate {
233: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax)=@_;
234: #
235: # $variable: name of the slope point
236: # $x, $y: coordinates of the slope point
237: # $pointname: name of the associated point point
238: # $xp $yp: coordinates of the point point
239: #
240: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
241: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
242: }
243: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
244: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
245: }
246: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
247: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
248: }
249: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
250: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
251: }
252:
253: &generate_input_field($id,$variable,$x,$y);
254: my $xrel=$x-$xp;
255: my $yrel=$y-$yp;
256: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname).&update_register($id,$variable);
257: }
258:
259: #
260: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
261: # It then starts the right headers
262: #
263: sub start_init_script {
264: my ($id)=@_;
265: # Add id to the list of ggbInit_$id functions that need to be called
266: push(@Apache::functionplotresponse::callscripts,$id);
267: # ... and open this function
268: return (<<ENDSTARTINIT);
269: <script type="text/javascript">
270: // <![CDATA[
271: // variable that will eventually be passed back to the server
272: var coordinateMap_$id = [];
273: // flag for not loaded yet
274: var loaded_$id=false;
275: // Init-function for applet
276: function ggbInit_$id() {
277: ENDSTARTINIT
278: }
279:
280: #
281: # This sets the axes inside ggbInit_$id
282: #
283:
284: sub axes_script {
285: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
286: return (<<ENDAXESSCRIPT);
287: // changes (xmin, xmax, ymin, ymax)
288: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
289:
290: // makes the (x,y) axis (in)visible
291: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
292: // makes the grid (in)visible
293: document.ggbApplet_$id.setGridVisible($gvisible);
294: ENDAXESSCRIPT
295: }
296:
297: sub axes_label {
298: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
299: unless ($xlabel || $ylabel) { return ''; }
300: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
301: if ($xlabel) {
302: if (($ymin<0) && ($ymax>0)) {
303: $return.=(<<ENDXAXISLABELSCRIPT);
304: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
305: document.ggbApplet_$id.setVisible("Xlabel",false);
306: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
307: ENDXAXISLABELSCRIPT
308: } else {
309: $return.=(<<ENDXOFFAXISLABEL);
310: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
311: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
312: ENDXOFFAXISLABEL
313: }
314: }
315: if ($ylabel) {
316: if (($xmin<0) && ($xmax>0)) {
317: $return.=(<<ENDYAXISLABELSCRIPT);
318: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
319: document.ggbApplet_$id.setVisible("Ylabel",false);
320: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
321: ENDYAXISLABELSCRIPT
322: } else {
323: $return.=(<<ENDYOFFAXISLABEL);
324: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
325: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
326: ENDYOFFAXISLABEL
327: }
328: }
329: return $return;
330: }
331:
332: sub plot_script {
333: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
334: $label=~s/\W//g;
335: if (($label) && ($label!~/^[A-Za-z]/)) {
336: $label='C'.$label;
337: }
338: my $visible=0;
339: if ($label) {
340: $visible="1";
341: } else {
342: $Apache::functionplotresponse::counter++;
343: $label='C'.$Apache::functionplotresponse::counter;
344: }
345: my $rc=0;
346: my $gc=0;
347: my $bc=0;
348: if ($color) {
349: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
350: $rc=hex($rh);
351: $gc=hex($gh);
352: $bc=hex($bh);
353: }
354: if ($fixed) {
355: return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
356: ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
357: ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
358: ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
359: } else {
360: return "document.ggbApplet_$id.evalCommand('y=$function');\n";
361: }
362: }
363:
364: #
365: # Subroutine that generates code for spline $label based on stored information
366: #
367:
368: sub generate_spline {
369: my ($id,$label,$xmin,$xmax,$ymin,$ymax)=@_;
370: my $result='';
371: my $order=$Apache::functionplotresponse::splineorder{$label};
372: my $x=$Apache::functionplotresponse::splineinitx{$label};
373: my $y=$Apache::functionplotresponse::splineinity{$label};
374: my $sx=$Apache::functionplotresponse::splinescalex{$label};
375: my $sy=$Apache::functionplotresponse::splinescaley{$label};
376: my @coords=();
377: foreach my $i (1..$order) {
378: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y);
379: my $xp=$x;
380: $x+=$sx/(2.*($order-1));
381: push(@coords,$label.'P'.$i);
382: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax);
383: $x+=$sx/(2.*($order-1));
384: push(@coords,$label.'S'.$i);
385: }
386: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
387: return $result;
388: }
389: #
390: # <backgroundplot function="..." fixed="yes/no" />
391: #
392: sub start_backgroundplot {
393: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
394: my $result='';
395: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
396: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
397: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
398: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
399: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
400: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
401: $color=~s/[^a-fA-F0-9]//gs;
402: unless (length($color)==6) { $color=''; }
403: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
404:
405: unless ($function) { $function="0"; }
406: if ($target eq 'web') {
407: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
408: unless (defined($xinitial)) { $xinitial=$xmin; }
409: unless (defined($xfinal)) { $xfinal=$xmax; }
410: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
411: } elsif ($target eq 'edit') {
412: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
413: &Apache::edit::text_arg('Function:','function',
414: $token,'16').
415: &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
416: $token,'8').
417: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
418: $token,'8').
419: &Apache::edit::text_arg('Label on Plot:','label',
420: $token,'8').
421: &Apache::edit::text_arg('Color (hex code):','color',
422: $token,'8').
423: &Apache::edit::select_arg('Fixed location:','fixed',
424: ['yes','no'],$token).
425: &Apache::edit::end_row();
426: } elsif ($target eq 'modified') {
427: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
428: $safeeval,'function','label','xinitial','xfinal','color','fixed');
429: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
430: }
431: return $result;
432: }
433:
434: sub end_backgroundplot {
435: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
436: my $result='';
437: if ($target eq 'edit') {
438: $result=&Apache::edit::end_table();
439: }
440: return $result;
441: }
442:
443: #
444: # <functionplotrule ... />
445: #
446: sub start_functionplotrule {
447: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
448: my $result='';
449: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
450: $Apache::functionplotresponse::counter++;
451: if ($label=~/\W/) {
452: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
453: }
454: $label=~s/\W//gs;
455: unless ($label) {
456: $label='R'.$Apache::functionplotresponse::counter;
457: } else {
458: $label='R'.$label;
459: }
460: if ($Apache::functionplotresponse::splineorder{$label}) {
461: &Apache::lonxml::error(&mt('Rule indices must be unique.'));
462: }
463:
464:
465: if ($target eq 'grade') {
466: # Simply remember - in order - for later
467: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
468: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
469: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
470: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
471: }
472: $beginninglabel=~s/\W//gs;
473: $endinglabel=~s/\W//gs;
474: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
475: $relationship=~s/\W//gs;
476: $relationship=lc($relationship);
477: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
478: &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
479: $relationship='eq';
480: }
481: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
482: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
483: &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
484: $derivative=0;
485: }
486: push(@Apache::functionplotresponse::functionplotrules,join(':',(
487: $label,
488: $derivative,
489: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
490: $beginninglabel,
491: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
492: $endinglabel,
493: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
494: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
495: $relationship,
496: &Apache::lonxml::get_param('value',$parstack,$safeeval),
497: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
498: )));
499: } elsif ($target eq 'edit') {
500: $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule').
501: &Apache::edit::text_arg('Index/Name:','index',
502: $token,'10').' '.
503: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
504: [['0','Function itself'],
505: ['1','First derivative'],
506: ['2','Second derivative'],
507: ['-1','Integral']],$token).'<br />'.
508: &Apache::edit::text_arg('Initial x-value:','xinitial',
509: $token,'8').
510: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
511: [['start','Start of Plot'],
512: ['end','End of Plot']],$token,'8').'<br />'.
513:
514: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
515: $token,'8').
516: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
517: [['end','End of Plot']],$token,'8').'<br />'.
518: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
519: $token,'8').
520: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
521: $token,'8').'<br />'.
522: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
523: [['eq','equal'],
524: ['ne','not equal'],
525: ['ge','greater than or equal'],
526: ['gt','greater than'],
527: ['lt','less than'],
528: ['le','less than or equal']],$token).
529: $result.= &Apache::edit::select_or_text_arg('Value:','value',
530: [['undef','not defined']],$token,'8').
531: &Apache::edit::text_arg('Percent error:','percenterror',
532: $token,'8').
533: &Apache::edit::end_row();
534: } elsif ($target eq 'modified') {
535: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
536: $safeeval,'index','derivativeorder',
537: 'xinitial','xinitiallabel','xfinal','xfinallabel',
538: 'minimumlength','maximumlength',
539: 'relationship','value','percenterror');
540: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
541: }
542: return $result;
543: }
544:
545: sub end_functionplotrule {
546: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
547: my $result='';
548: if ($target eq 'edit') {
549: $result=&Apache::edit::end_table();
550: }
551: return $result;
552: }
553:
554:
555: #
556: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
557: #
558: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
559: #
560: sub start_spline {
561: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
562: my $result='';
563: if ($target eq 'web') {
564: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
565: $Apache::functionplotresponse::counter++;
566: if ($label=~/\W/) {
567: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
568: }
569: $label=~s/\W//gs;
570: unless ($label) {
571: $label='S'.$Apache::functionplotresponse::counter;
572: } else {
573: $label='S'.$label;
574: }
575: if ($Apache::functionplotresponse::splineorder{$label}) {
576: &Apache::lonxml::error(&mt('Spline indices must be unique.'));
577: }
578:
579: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
580: if ($order<2) { $order=2; }
581: if ($order>8) { $order=8; }
582: $Apache::functionplotresponse::splineorder{$label}=$order;
583:
584: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
585: unless ($x) { $x=0; }
586: $Apache::functionplotresponse::splineinitx{$label}=$x;
587:
588: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
589: unless ($y) { $y=0; }
590: $Apache::functionplotresponse::splineinity{$label}=$y;
591:
592: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
593: unless ($sx) { $sx=$order; }
594: $Apache::functionplotresponse::splinescalex{$label}=$sx;
595:
596: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
597: unless ($sy) { $sy=2; }
598: $Apache::functionplotresponse::splinescaley{$label}=$sy;
599: } elsif ($target eq 'edit') {
600: $result=&Apache::edit::tag_start($target,$token,'Spline').
601: &Apache::edit::text_arg('Index:','index',
602: $token,'4').' '.
603: &Apache::edit::select_arg('Order:','order',
604: ['2','3','4','5','6','7','8'],$token).' '.
605: &Apache::edit::text_arg('Initial x-value:','initx',
606: $token,'4').' '.
607: &Apache::edit::text_arg('Initial y-value:','inity',
608: $token,'4').' '.
609: &Apache::edit::text_arg('Scale x:','scalex',
610: $token,'4').' '.
611: &Apache::edit::text_arg('Scale y:','scaley',
612: $token,'4').
613: &Apache::edit::end_row();
614: } elsif ($target eq 'modified') {
615: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
616: $safeeval,'index','order','initx','inity',
617: 'scalex','scaley');
618: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
619: }
620: return $result;
621: }
622:
623: sub end_spline {
624: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
625: my $result='';
626: if ($target eq 'edit') {
627: $result=&Apache::edit::end_table();
628: }
629: return $result;
630: }
631:
632: sub end_init_script {
633: return (<<ENDENDINIT);
634: }
635: // ]]>
636: </script>
637: ENDENDINIT
638: }
639:
640: #
641: # Storing and restoring spline coordinates from part answers
642: #
643: sub decode_previous_answer {
644: my ($answer)=@_;
645: foreach my $coordinate (split(/\,/,$answer)) {
646: my ($key,$value)=split(/\=/,$coordinate);
647: $Apache::functionplotresponse::previous{$key}=$value;
648: }
649: }
650:
651: sub get_answer_from_form_fields {
652: my ($id)=@_;
653: my $answer='';
654: my %coords=();
655: foreach my $field (keys(%env)) {
656: if ($field=~/^form\.HWVAL\_$id/) {
657: $field=~/^form\.(.*)$/;
658: $coords{$1}=$env{$field};
659: }
660: }
661: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
662: return ($answer,%coords);
663: }
664:
665: #
666: # The following functions calculate the cubic-hermite splines server-side
667: #
668:
669: sub cubic_hermite {
670: my ($t,$p1,$s1,$p2,$s2)=@_;
671: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
672: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2);
673: }
674:
675: #
676: # d/dt(...)
677: #
678:
679: sub ddt_cubic_hermite {
680: my ($t,$p1,$s1,$p2,$s2)=@_;
681: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
682: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2);
683: }
684:
685: #
686: # d^2/dt^2(...)
687: #
688:
689: sub d2dt2_cubic_hermite {
690: my ($t,$p1,$s1,$p2,$s2)=@_;
691: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
692: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
693: }
694:
695: #
696: # Array index calculation
697: #
698: sub array_index {
699: my ($xmin,$xmax,$x)=@_;
700: if ($x ne '') {
701: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
702: } else {
703: return undef;
704: }
705: }
706:
707: #
708: # Populate the arrays
709: #
710:
711: sub populate_arrays {
712: my ($id,$xmin,$xmax)=@_;
713: for (my $i=0; $i<=400; $i++) {
714: $Apache::functionplotresponse::actualxval[$i]=undef;
715: $Apache::functionplotresponse::func[$i]=undef;
716: $Apache::functionplotresponse::dfuncdx[$i]=undef;
717: $Apache::functionplotresponse::d2funcd2x[$i]=undef;
718: }
719: unless ($xmax>$xmin) { return 'no_func'; }
720: # Run over all splines in response
721: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
722: my $xiold=-1;
723: # Run over all points in spline
724: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
725: my $ni=$i+1;
726: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
727: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
728: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
729: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
730: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
731: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
732: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
733: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
734: # Run in small steps over spline parameter
735: for (my $t=0; $t<=1; $t+=0.0001) {
736: my $xreal=&cubic_hermite($t,@xparms);
737: my $xi=&array_index($xmin,$xmax,$xreal);
738: if ($xi<$xiold) { return 'no_func'; }
739: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
740: if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
741: $xiold=$xi;
742: $Apache::functionplotresponse::actualxval[$xi]=$xreal;
743: # Function value
744: my $funcval=&cubic_hermite($t,@yparms);
745: $Apache::functionplotresponse::func[$xi]=$funcval;
746: if (defined($funcval)) {
747: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
748: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
749: }
750: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
751: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
752: }
753: }
754: # Chain rule
755: # dy/dx=dy/dt/(dx/dt)
756: my $dxdt=&ddt_cubic_hermite($t,@xparms);
757: if ($dxdt) {
758: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
759: # Second derivative
760: $Apache::functionplotresponse::d2funcdx2[$xi]=
761: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
762: ($dxdt*$dxdt*$dxdt);
763: }
764: }
765: }
766: }
767: }
768: }
769:
770: #
771: # Implementation of <functionplotresponse>
772: #
773:
774: sub start_functionplotresponse {
775: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
776: my $result='';
777: # To remember the splines - somehow, they need to come last
778: undef %Apache::functionplotresponse::splineorder;
779: undef %Apache::functionplotresponse::splineinitx;
780: undef %Apache::functionplotresponse::splineinity;
781: undef %Apache::functionplotresponse::splinescalex;
782: undef %Apache::functionplotresponse::splinescaley;
783: # Remember input fields, etc
784: undef %Apache::functionplotresponse::previous;
785: $Apache::functionplotresponse::inputfields='';
786: $Apache::functionplotresponse::counter=0;
787: # Remember rules
788: undef @Apache::functionplotresponse::functionplotrules;
789: # Remember failed rules
790: if ($target eq 'grade') {
791: undef @Apache::functionplotresponse::failedrules;
792: }
793: # Delete previous awards
794: undef $Apache::functionplotresponse::awarddetail;
795: # Part and ID
796: my $partid=$Apache::inputtags::part;
797: my $id=&Apache::response::start_response($parstack,$safeeval);
798: # Internal ID to mark the applet and its coordinates
799: my $internalid = $partid.'_'.$id;
800: # Previous answer
801: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
802:
803: # Parameters of <functionplotresponse>
804: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
805: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
806: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
807: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
808: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
809: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
810: if ($target eq 'edit') {
811: $result.=&Apache::edit::start_table($token)
812: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
813: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
814: .&Apache::edit::deletelist($target,$token).' '
815: .&Apache::edit::insertlist($target,$token)
816: .'</span></td>'
817: ."<td> "
818: .&Apache::edit::end_row()
819: .&Apache::edit::start_spanning_row()
820: ."\n";
821: $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
822: $token,'6').' '.
823: &Apache::edit::text_arg('Minimum x-value:','xmin',
824: $token,'4').' '.
825: &Apache::edit::text_arg('Maximum x-value:','xmax',
826: $token,'4').' '.
827: &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
828: ['yes','no'],$token).'<br />'.
829: &Apache::edit::text_arg('Label y-axis:','ylabel',
830: $token,'6').' '.
831: &Apache::edit::text_arg('Minimum y-value:','ymin',
832: $token,'4').' '.
833: &Apache::edit::text_arg('Maximum y-value:','ymax',
834: $token,'4').' '.
835: &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
836: ['yes','no'],$token).'<br />'.
837: &Apache::edit::select_arg('Grid visible:','gridvisible',
838: ['yes','no'],$token).'<br />'.
839: &Apache::edit::text_arg('Background plot(s) for answer (function:xmin:xmax,function:xmin:xmax,...):',
840: 'answerdisplay',$token,'50');
841:
842: &Apache::edit::end_row().&Apache::edit::start_spanning_row();
843: } elsif ($target eq 'modified') {
844: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
845: $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
846: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
847: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
848:
849: } elsif ($target eq 'meta') {
850: $result=&Apache::response::meta_package_write('functionplotresponse');
851: } elsif (($target eq 'answer') &&
852: ($env{'form.answer_output_mode'} ne 'tex') &&
853: ($Apache::lonhomework::viewgrades == 'F')) {
854: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
855: my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
856: my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
857: {'only_body' => 1,
858: 'bgcolor' => '#FFFFFF',
859: 'js_ready' => 1,});
860: my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
861: $uname =~s/\W//g;
862: $udom =~s/\W//g;
863: my $function_name =
864: join('_','LONCAPA_scriptvars',$uname,$udom,
865: $env{'form.counter'},$Apache::lonxml::curdepth);
866: my $rules_var ="<script type=\"text/javascript\">
867: // <![CDATA[
868: function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
869: $Apache::functionplotresponse::ruleslog.
870: "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
871: // ]]>
872: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
873: &Apache::lonxml::add_script_result($rules_var);
874: }
875:
876: return $result;
877: }
878:
879: sub compare_rel {
880: my ($relationship,$value,$realval,$tol)=@_;
881: # is the real value undefined?
882: unless (defined($realval)) {
883: # the real value is not defined
884: if ($relationship eq 'eq') {
885: if ($value eq 'undef') {
886: return 1;
887: } else {
888: return 0;
889: }
890: } elsif ($relationship eq 'ne') {
891: if ($value eq 'undef') {
892: return 0;
893: } else {
894: return 1;
895: }
896: } else {
897: return 0;
898: }
899: }
900:
901: # is the expected value undefined?
902: if ($value eq 'undef') {
903: # but by now we know that the real value is defined
904: return 0;
905: }
906:
907: # both are defined.
908: if ($relationship eq 'gt') {
909: return ($realval>$value);
910: } elsif ($relationship eq 'ge') {
911: return ($realval>$value-$tol);
912: } elsif ($relationship eq 'lt') {
913: return ($realval<$value);
914: } elsif ($relationship eq 'le') {
915: return ($realval<$value+$tol);
916: } elsif ($relationship eq 'ne') {
917: return (abs($value-$realval)>$tol);
918: } else {
919: return (abs($value-$realval)<$tol);
920: }
921: return 0;
922: }
923:
924: sub addlog {
925: my ($text)=@_;
926: $Apache::functionplotresponse::ruleslog.=$text.'<br />';
927: }
928:
929: sub actualval {
930: my ($i,$xmin,$xmax)=@_;
931: return $xmin+$i/400.*($xmax-$xmin);
932: }
933:
934: sub functionplotrulecheck {
935: my ($rule,$xmin,$xmax,$ymin,$ymax)=@_;
936:
937: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
938: =split(/\:/,$rule);
939: $percent=($percent>0?$percent:5);
940: &addlog("=================");
941: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
942: my $li=0;
943: my $lh=400;
944:
945: # Special case: the upper boundary was not defined
946: # and needs to be set to the value where
947: # the condition is not true anymore => set flag
948:
949: my $findupper=0;
950: if (($xfinal eq '')
951: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
952: && ($xfinallabel)) {
953: $findupper=1;
954: }
955:
956: # if a hard value is set for the boundaries, it overrides the label
957: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
958: $li=&array_index($xmin,$xmax,$xinitial);
959: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
960: }
961: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
962: $lh=&array_index($xmin,$xmax,$xfinal);
963: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
964: }
965: # if the label is defined, use it
966: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
967: &addlog("Using lower label $xinitiallabel");
968: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
969: } else {
970: $li=&array_index($xmin,$xmax,$xinitial);
971: }
972: unless ($findupper) {
973: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
974: &addlog("Using upper label $xfinallabel");
975: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
976: } else {
977: $lh=&array_index($xmin,$xmax,$xfinal);
978: }
979: }
980: # Basic sanity checks
981: if ($li<0) { $li=0; }
982: if ($lh>400) { $lh=400; }
983: if (($li>$lh) || (!defined($lh))) {
984: $lh=$li;
985: }
986:
987: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
988: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
989: if ($findupper) {
990: &addlog("Looking for label $xfinallabel");
991: }
992: my $tol=$percent*($ymax-$ymin)/100;
993: if ($xmax>$xmin) {
994: if ($derivative==2) {
995: $tol=4.*$tol/($xmax-$xmin);
996: } elsif ($derivative==1) {
997: $tol=2.*$tol/($xmax-$xmin);
998: } elsif ($derivative==-1) {
999: $tol=$tol*($xmax-$xmin)/2.;
1000: }
1001: }
1002: my $integral=0;
1003: my $binwidth=($xmax-$xmin)/400.;
1004: if (($derivative<0) && (!$findupper)) {
1005: # definite integral, calculate over whole length
1006: &addlog("Calculating definite integral");
1007: for (my $i=$li; $i<=$lh; $i++) {
1008: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1009: }
1010: unless (&compare_rel($relationship,$value,$integral,$tol)) {
1011: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
1012: &addlog("Rule $label failed.");
1013: my $hintlabel=$label;
1014: $hintlabel=~s/^R//;
1015: push(@Apache::functionplotresponse::failedrules,$hintlabel);
1016: &addlog("Set hint condition $hintlabel");
1017: return 0;
1018: }
1019: } else {
1020: for (my $i=$li; $i<=$lh; $i++) {
1021: my $val;
1022: if ($derivative==2) {
1023: $val=$Apache::functionplotresponse::d2funcdx2[$i];
1024: } elsif ($derivative==1) {
1025: $val=$Apache::functionplotresponse::dfuncdx[$i];
1026: } elsif ($derivative==-1) {
1027: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1028: $val=$integral;
1029: } else {
1030: $val=$Apache::functionplotresponse::func[$i];
1031: }
1032: unless (&compare_rel($relationship,$value,$val,$tol)) {
1033: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1034: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1035: if (($findupper) && ($i>$li)) {
1036: # check for minimum and maximum lengths
1037: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
1038: if ($minimumlength) {
1039: if ($length<$minimumlength) {
1040: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
1041: return 0;
1042: }
1043: }
1044: if ($maximumlength) {
1045: if ($length>$maximumlength) {
1046: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
1047: return 0;
1048: }
1049: }
1050: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1051: &addlog("Rule $label passed, setting label $xfinallabel");
1052: return 1;
1053: } else {
1054: &addlog("Rule $label failed.");
1055: my $hintlabel=$label;
1056: $hintlabel=~s/^R//;
1057: push(@Apache::functionplotresponse::failedrules,$hintlabel);
1058: &addlog("Set hint condition $hintlabel");
1059: return 0;
1060: }
1061: }
1062: }
1063: }
1064: &addlog("Rule $label passed.");
1065: return 1;
1066: }
1067:
1068: sub start_functionplotruleset {
1069: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1070: if ($target eq 'edit') {
1071: return &Apache::edit::start_table($token).
1072: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
1073: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1074: .&Apache::edit::deletelist($target,$token).' '.
1075: &Apache::edit::insertlist($target,$token)
1076: .'</span></td>'
1077: ."<td> "
1078: .&Apache::edit::end_row()
1079: .&Apache::edit::start_spanning_row()
1080: ."\n";
1081: }
1082: }
1083:
1084: sub end_functionplotruleset {
1085: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
1086: my $id=$Apache::inputtags::response[-1];
1087: my $partid=$Apache::inputtags::part;
1088: my $internalid = $partid.'_'.$id;
1089:
1090: if ($target eq 'edit' ) {
1091: return &Apache::edit::end_table();
1092: } elsif ($target eq 'grade'
1093: && &Apache::response::submitted()
1094: && $Apache::lonhomework::type ne 'exam') {
1095: #
1096: # Actually grade
1097: #
1098: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1099:
1100: my $ad='';
1101: undef %Apache::functionplotresponse::functionplotrulelabels;
1102: $Apache::functionplotresponse::ruleslog='';
1103: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
1104: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
1105: if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
1106: $ad='NOT_FUNCTION';
1107: } else {
1108: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
1109: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
1110: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
1111: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
1112:
1113: # We have a function that we can actually grade, go through the spline rules.
1114: foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
1115: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) {
1116: $ad='INCORRECT';
1117: last;
1118: }
1119: }
1120: # If it's not wrong, it's correct
1121: unless ($ad) { $ad='EXACT_ANS' };
1122: }
1123: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
1124: &addlog("Assigned award detail: $ad");
1125: # Store for later to be assigned at end_functionplotresponse
1126: $Apache::functionplotresponse::awarddetail=$ad;
1127: }
1128: }
1129:
1130:
1131: sub end_functionplotresponse {
1132: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1133: &Apache::response::end_response;
1134:
1135: my $result;
1136: my $id=$Apache::inputtags::response[-1];
1137: my $partid=$Apache::inputtags::part;
1138: my $internalid = $partid.'_'.$id;
1139:
1140: if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
1141: if ($target eq 'grade'
1142: && &Apache::response::submitted()
1143: && $Apache::lonhomework::type eq 'exam') {
1144:
1145: &Apache::response::scored_response($partid,$id);
1146:
1147: } elsif ($target eq 'grade'
1148: && &Apache::response::submitted()
1149: && $Apache::lonhomework::type ne 'exam') {
1150: my ($response,%coords)=&get_answer_from_form_fields($internalid);
1151: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
1152: my %previous=&Apache::response::check_for_previous($response,$partid,$id);
1153: #
1154: # Assign grade
1155: #
1156: my $ad=$Apache::functionplotresponse::awarddetail;
1157: #
1158: # Store grading info
1159: #
1160: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
1161: &Apache::response::handle_previous(\%previous,$ad);
1162: } elsif ($target eq 'web') {
1163: undef @Apache::functionplotresponse::failedrules;
1164: }
1165: return $result;
1166: }
1167:
1168: sub end_functionplotelements {
1169: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
1170: my $result='';
1171: my $id=$Apache::inputtags::response[-1];
1172: my $partid=$Apache::inputtags::part;
1173: my $internalid = $partid.'_'.$id;
1174: if ($target eq 'edit' ) {
1175: $result=&Apache::edit::end_table();
1176: } elsif ($target eq 'web') {
1177: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1178:
1179: # Are we in show answer mode?
1180: my $showanswer=&Apache::response::show_answer();
1181: if ($showanswer) {
1182: # Render answerdisplay
1183: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
1184: if ($answerdisplay=~/\S/s) {
1185: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
1186: my ($func,$xl,$xh)=split(/\s*\:\s*/,$plot);
1187: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
1188: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
1189: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
1190: }
1191: }
1192: }
1193:
1194: # Now is the time to render all of the stored splines
1195: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
1196: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax);
1197: }
1198: # close the init script
1199: $result.=&end_init_script();
1200: # register all splines in this response
1201: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
1202: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
1203: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
1204: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
1205: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
1206: }
1207: # generate the input fields
1208: $result.=$Apache::functionplotresponse::inputfields;
1209: # actually start the <applet>-tag
1210: $result.=&geogebra_startcode($internalid);
1211: # load the spline bytecode
1212: $result.=&geogebra_spline_program();
1213: # set default parameters
1214: $result.=&geogebra_default_parameters($internalid);
1215: # close the <applet>-tag
1216: $result.=&geogebra_endcode();
1217: }
1218: return $result;
1219: }
1220:
1221: sub boundaries {
1222: my ($parstack,$safeeval,$level)=@_;
1223: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
1224: $xmin=(defined($xmin)?$xmin:-10);
1225: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
1226: $xmax=(defined($xmax)?$xmax:10);
1227: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
1228: $ymin=(defined($ymin)?$ymin:-10);
1229: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
1230: $ymax=(defined($ymax)?$ymax:10);
1231: if ($xmax<=$xmin) {
1232: $xmax=$xmin+20;
1233: }
1234: if ($ymax<=$ymin) {
1235: $ymax=$ymin+20;
1236: }
1237: return ($xmin,$xmax,$ymin,$ymax);
1238: }
1239:
1240: sub start_functionplotelements {
1241: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1242: my $result='';
1243: my $id=$Apache::inputtags::response[-1];
1244: my $partid=$Apache::inputtags::part;
1245: my $internalid = $partid.'_'.$id;
1246:
1247: if ($target eq 'edit') {
1248: return &Apache::edit::start_table($token).
1249: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
1250: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1251: .&Apache::edit::deletelist($target,$token).' '.
1252: &Apache::edit::insertlist($target,$token)
1253: .'</span></td>'
1254: ."<td> "
1255: .&Apache::edit::end_row()
1256: .&Apache::edit::start_spanning_row()
1257: ."\n";
1258: } elsif ($target eq 'web') {
1259: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1260: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1261: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1262: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1263: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
1264: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
1265:
1266:
1267: # paste in the update routine to receive stuff back from the applet
1268: $result.=&update_script($internalid);
1269: # start the initscript for this applet
1270: $result.=&start_init_script($internalid);
1271: # put the axis commands inside
1272: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1273: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
1274: # init script is left open
1275: }
1276: return $result;
1277: }
1278:
1279: 1;
1280:
1281: __END__
1282:
1283: =head1 NAME
1284:
1285: Apache::functionplotresponse.pm;
1286:
1287: =head1 SYNOPSIS
1288:
1289: Handles tags associated with accepting function plots.
1290:
1291: This is part of the LearningOnline Network with CAPA project
1292: described at http://www.lon-capa.org.
1293:
1294: =head1 HANDLER SUBROUTINE
1295:
1296: start_functionplotresponse()
1297:
1298: =head1 OTHER SUBROUTINES
1299:
1300: =over
1301:
1302: =item end_functionplotresponse()
1303:
1304: =back
1305:
1306: =cut
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