1: # LearningOnline Network with CAPA
2: # Functionplot responses
3: #
4: # $Id: functionplotresponse.pm,v 1.76 2011/11/19 20:03:58 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: use Apache::run;
35:
36: BEGIN {
37: &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
38: 'plotobject','plotvector','functionplotvectorrule','functionplotvectorsumrule',
39: 'functionplotrule','functionplotruleset',
40: 'functionplotelements'));
41: }
42:
43: #
44: # There can be a number of applets on a page, each called ggbApplet_$id,
45: # where $id is the "_"-concatenated part and responseid
46: #
47:
48: sub geogebra_startcode {
49: my ($id)=@_;
50: return (<<ENDSTARTCODE);
51: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
52: codebase="/adm/geogebra/" width="722" height="447" MAYSCRIPT>
53: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
54: ENDSTARTCODE
55: }
56:
57: sub geogebra_endcode {
58: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
59: }
60:
61: #
62: # This is the internal GeoGebra bytecode which defines the spline functions
63: #
64: sub geogebra_spline_program {
65: return (<<ENDSPLINEPROGRAM);
66: <param name="ggbBase64" value="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67: ENDSPLINEPROGRAM
68: }
69:
70: #
71: # The standard set of parameters inside <applet>
72: #
73: sub geogebra_default_parameters {
74: my ($id)=@_;
75: return(<<ENDDEFAULTPARAMETERS);
76: <param name="image" value="/adm/lonIcons/lonanim.gif" />
77: <param name="boxborder" value="false" />
78: <param name="centerimage" value="true" />
79: <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" />
80: <param name="cache_version" value="4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0" />
81: <param name="framePossible" value="false" />
82:
83: <param name="showResetIcon" value="false" />
84: <param name="showAnimationButton" value="false" />
85: <param name="enableRightClick" value="false" />
86: <param name="errorDialogsActive" value="true" />
87: <param name="enableLabelDrags" value="false" />
88: <param name="showMenuBar" value="false" />
89: <param name="showToolBar" value="false" />
90: <param name="showToolBarHelp" value="false" />
91: <param name="showAlgebraInput" value="false" />
92: <param name="enableShiftDragZoom" value="false" />
93: <param name="allowRescaling" value="false" />
94: <param name="enableLabelDrags" value="false" />
95: <param name="ggbOnInitParam" value="applet_$id" />
96: ENDDEFAULTPARAMETERS
97: }
98:
99: #
100: # This subroutine is called by LON-CAPA at </problem>
101: # Each applet on the page will call function ggbOnInit when it is done loading
102: # This function in turn will call the respective function registered by start_init_script
103: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
104: #
105:
106: sub init_script {
107: if ($#Apache::functionplotresponse::callscripts>=0) {
108: my $script='';
109: foreach my $id (@Apache::functionplotresponse::callscripts) {
110: $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
111: }
112: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
113: ") { setTimeout('ggbInitAll()',200) }";
114: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts));
115: return (<<ENDGGBINIT);
116: <script type="text/javascript">
117: // <![CDATA[
118: // Function that each applet will call when loaded
119: // It will pass "its" parameter
120: // Set flags for when an applet is loaded, wait till all are loaded, and then some
121: function ggbOnInit(param) {
122: $script
123: }
124: function ggbInitAll() {
125: $calls
126: }
127: // ]]>
128: </script>
129: ENDGGBINIT
130: }
131: }
132:
133: #
134: # Each Geogebra applet is supposed to call this when parameters change
135: # Changes the hidden fields on the web page
136: #
137: sub update_script {
138: my ($id)=@_;
139: return (<<ENDUPDATESCRIPT);
140: <script type="text/javascript">
141: // <![CDATA[
142: function updatePointCoordinates_$id(coordinateName) {
143: var x = document.ggbApplet_$id.getXcoord(coordinateName);
144: var y = document.ggbApplet_$id.getYcoord(coordinateName);
145: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
146: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
147: }
148: // ]]>
149: </script>
150: ENDUPDATESCRIPT
151: }
152:
153: #
154: # Register the above update-handler for a variable
155: #
156:
157: sub update_register {
158: my ($id,$variable)=@_;
159: return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
160: }
161:
162: #
163: # Set a point coordinate variable
164: #
165: sub set_point_coordinate {
166: my ($id,$variable,$x,$y,$fixed)=@_;
167: my $mult=($fixed?'a*':'');
168: # Get rid of wild exponents, make sure it's a number
169: $x=1.*$x;
170: $y=1.*$y;
171: # GeoGebra does not understand "E"
172: $x=~s/[e|E]/\*10\^/;
173: $x=~s/\+//;
174: $y=~s/[e|E]/\*10\^/;
175: $y=~s/\+//;
176: return (<<ENDSETVARIABLE);
177: document.ggbApplet_$id.evalCommand("a=1");
178: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
179: document.ggbApplet_$id.setLabelVisible("$variable",false);
180: ENDSETVARIABLE
181: }
182:
183: #
184: # Set a slope coordinate variable
185: #
186: sub set_slope_coordinate {
187: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
188: my $xvariable=$variable.'x';
189: my $yvariable=$variable.'y';
190: my $domain=$xmax-$xmin;
191: my $range=$ymax-$ymin;
192: my $xinterval=$domain/100.;
193: my $yinterval=$range/200.;
194: my $mult=($fixed?'a*':'');
195: return (<<ENDSETSVARIABLE);
196: document.ggbApplet_$id.evalCommand("a=1");
197: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
198: document.ggbApplet_$id.setVisible("$xvariable", false);
199: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
200: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
201: document.ggbApplet_$id.setVisible("$yvariable", false);
202: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
203: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
204: document.ggbApplet_$id.setLabelVisible("$variable", false);
205: ENDSETSVARIABLE
206: }
207:
208: #
209: # Input field name for a coordinate variable
210: #
211:
212: sub field_name {
213: my ($id,$variable,$name)=@_;
214: return "HWVAL_$id\_$variable\_$name";
215: }
216:
217: #
218: # Generate an input field for a coordinate variable
219: #
220:
221: sub generate_input_field {
222: my ($id,$variable,$x,$y)=@_;
223: $Apache::functionplotresponse::inputfields.=
224: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
225: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
226: }
227:
228: #
229: # Initialize a new point coordinate variable at set a listener on it
230: #
231: sub new_point_coordinate {
232: my ($id,$variable,$x,$y,$fixed)=@_;
233: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
234: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
235: }
236: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
237: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
238: }
239: &generate_input_field($id,$variable,$x,$y);
240: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
241: }
242:
243: #
244: # Initialize a new slope coordinate variable at set a listener on it
245: #
246: sub new_slope_coordinate {
247: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
248: #
249: # $variable: name of the slope point
250: # $x, $y: coordinates of the slope point
251: # $pointname: name of the associated point point
252: # $xp $yp: coordinates of the point point
253: #
254: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
255: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
256: }
257: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
258: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
259: }
260: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
261: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
262: }
263: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
264: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
265: }
266:
267: &generate_input_field($id,$variable,$x,$y);
268: my $xrel=$x-$xp;
269: my $yrel=$y-$yp;
270: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
271: }
272:
273: #
274: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
275: # It then starts the right headers
276: #
277: sub start_init_script {
278: my ($id)=@_;
279: # Add id to the list of ggbInit_$id functions that need to be called
280: push(@Apache::functionplotresponse::callscripts,$id);
281: # ... and open this function
282: return (<<ENDSTARTINIT);
283: <script type="text/javascript">
284: // <![CDATA[
285: // variable that will eventually be passed back to the server
286: var coordinateMap_$id = [];
287: // flag for not loaded yet
288: var loaded_$id=false;
289: // Init-function for applet
290: function ggbInit_$id() {
291: ENDSTARTINIT
292: }
293:
294: #
295: # This sets the axes inside ggbInit_$id
296: #
297:
298: sub axes_script {
299: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
300: return (<<ENDAXESSCRIPT);
301: // changes (xmin, xmax, ymin, ymax)
302: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
303:
304: // makes the (x,y) axis (in)visible
305: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
306: // makes the grid (in)visible
307: document.ggbApplet_$id.setGridVisible($gvisible);
308: ENDAXESSCRIPT
309: }
310:
311: sub axes_label {
312: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
313: unless ($xlabel || $ylabel) { return ''; }
314: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
315: if ($xlabel) {
316: if (($ymin<0) && ($ymax>0)) {
317: $return.=(<<ENDXAXISLABELSCRIPT);
318: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
319: document.ggbApplet_$id.setVisible("Xlabel",false);
320: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
321: ENDXAXISLABELSCRIPT
322: } else {
323: $return.=(<<ENDXOFFAXISLABEL);
324: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
325: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
326: ENDXOFFAXISLABEL
327: }
328: }
329: if ($ylabel) {
330: if (($xmin<0) && ($xmax>0)) {
331: $return.=(<<ENDYAXISLABELSCRIPT);
332: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
333: document.ggbApplet_$id.setVisible("Ylabel",false);
334: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
335: ENDYAXISLABELSCRIPT
336: } else {
337: $return.=(<<ENDYOFFAXISLABEL);
338: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
339: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
340: ENDYOFFAXISLABEL
341: }
342: }
343: return $return;
344: }
345:
346: #
347: # Subroutine to produce background and answer plots
348: #
349:
350: sub plot_script {
351: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
352: $label=~s/\W//g;
353: if (($label) && ($label!~/^[A-Za-z]/)) {
354: $label='C'.$label;
355: }
356: my $visible=0;
357: if ($label) {
358: $visible="1";
359: } else {
360: $Apache::functionplotresponse::counter++;
361: $label='C'.$Apache::functionplotresponse::counter;
362: }
363: my $rc=0;
364: my $gc=0;
365: my $bc=0;
366: if ($color) {
367: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
368: $rc=hex($rh);
369: $gc=hex($gh);
370: $bc=hex($bh);
371: }
372: if ($fixed) {
373: return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
374: ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
375: ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
376: ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
377: } else {
378: return "document.ggbApplet_$id.evalCommand('y=$function');\n";
379: }
380: }
381:
382: #
383: # Subroutine to produce objects
384: #
385:
386: sub plotobject_script {
387: my ($id,$label,$x,$y)=@_;
388: unless ($label) {
389: $Apache::functionplotresponse::counter++;
390: $label='O'.$Apache::functionplotresponse::counter;
391: }
392: return "document.ggbApplet_$id.evalCommand('a=1');\n".
393: "document.ggbApplet_$id.setVisible('a', false);\n".
394: "document.ggbApplet_$id.setLabelVisible('a', false);\n".
395: "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n".
396: "document.ggbApplet_$id.setVisible('$label', true);\n".
397: "document.ggbApplet_$id.setLabelVisible('$label', true);\n";
398: }
399:
400: #
401: # Subroutine to produce vectors
402: #
403:
404: sub plotvector_script {
405: my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax)=@_;
406: unless ($label) {
407: $Apache::functionplotresponse::counter++;
408: $label='V'.$Apache::functionplotresponse::counter;
409: }
410: my $startlabel=$label.'Start';
411: my $endlabel=$label.'End';
412: my $pointlabel=$label.'Point';
413: my $pointx=2.*($xmax-$xmin)+$xmax;
414: my $anglelabel=$label.'Angle';
415: return
416: &new_point_coordinate($id,$startlabel,$xs,$ys,0).
417: &new_point_coordinate($id,$endlabel,$xe,$ye,0).
418: (<<ENDVECTOR);
419: document.ggbApplet_$id.evalCommand("$label=Vector[$startlabel,$endlabel]");
420: document.ggbApplet_$id.setLabelVisible("$label",true);
421: document.ggbApplet_$id.setLineThickness("$label",8);
422: document.ggbApplet_$id.evalCommand("$pointlabel=($pointx,y($startlabel))");
423: document.ggbApplet_$id.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
424: document.ggbApplet_$id.setLabelVisible("$anglelabel",true);
425: document.ggbApplet_$id.setLabelStyle("$anglelabel",VALUE=2);
426: ENDVECTOR
427: }
428:
429: #
430: # Answer spline display
431: #
432: # points: x,y,slope_x,slope_y
433:
434: sub answer_spline_script {
435: my ($id,@points)=@_;
436: my $order=int(($#points+1)/4);
437: if ($order<2) { $order=2; }
438: if ($order>8) { $order=8; }
439: $Apache::functionplotresponse::counter++;
440: my $label='CSpline'.$Apache::functionplotresponse::counter;
441: my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
442: for (my $i=0;$i<=$#points;$i+=4) {
443: $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
444: }
445: $output=~s/\,$//;
446: $output.=']");'."\n";
447: for (my $i=2; $i<2*$order; $i+=2) {
448: $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
449: }
450: for (my $i=1; $i<2*$order; $i+=2) {
451: $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
452: }
453:
454: return $output;
455: }
456:
457: #
458: # Subroutine that generates code for spline $label based on stored information
459: #
460:
461: sub generate_spline {
462: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
463: my $result='';
464: my $order=$Apache::functionplotresponse::splineorder{$label};
465: my $x=$Apache::functionplotresponse::splineinitx{$label};
466: my $y=$Apache::functionplotresponse::splineinity{$label};
467: my $sx=$Apache::functionplotresponse::splinescalex{$label};
468: my $sy=$Apache::functionplotresponse::splinescaley{$label};
469: my @coords=();
470: foreach my $i (1..$order) {
471: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
472: my $xp=$x;
473: $x+=$sx/(2.*($order-1));
474: push(@coords,$label.'P'.$i);
475: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
476: $x+=$sx/(2.*($order-1));
477: push(@coords,$label.'S'.$i);
478: }
479: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
480: return $result;
481: }
482:
483: #
484: # Object
485: #
486:
487: sub start_plotobject {
488: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
489: my $result='';
490: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
491: my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
492: my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
493: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
494: $label=~s/\W//gs;
495: $label=ucfirst($label);
496: unless ($label) { $label="NewObject"; }
497: if ($target eq 'web') {
498: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
499: unless (defined($x)) { $x=$xmin; }
500: unless (defined($y)) { $y=$ymin; }
501: $result.=&plotobject_script($internalid,$label,$x,$y);
502: } elsif ($target eq 'edit') {
503: $result=&Apache::edit::tag_start($target,$token,'Plot Object').
504: &Apache::edit::text_arg('Label on Plot:','label',
505: $token,'16').
506: &Apache::edit::text_arg('x:','x',
507: $token,'8').
508: &Apache::edit::text_arg('y:','y',
509: $token,'8').
510: &Apache::edit::end_row();
511: } elsif ($target eq 'modified') {
512: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
513: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
514: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
515: }
516: return $result;
517: }
518:
519: sub end_plotobject {
520: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
521: my $result='';
522: if ($target eq 'edit') {
523: $result=&Apache::edit::end_table();
524: }
525: return $result;
526: }
527:
528: #
529: # Vector
530: #
531:
532: sub start_plotvector {
533: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
534: my $result='';
535: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
536: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
537: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
538: my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
539: my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
540:
541: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
542: $label=~s/\W//gs;
543: $label=ucfirst($label);
544: unless ($label) { $label="NewVector"; }
545: if ($target eq 'web') {
546: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
547: unless (defined($tailx)) { $tailx=$xmin; }
548: unless (defined($taily)) { $taily=$ymin; }
549: unless (defined($tipx)) { $tipx=$xmin; }
550: unless (defined($tipy)) { $tipy=$ymin; }
551: $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax);
552: } elsif ($target eq 'edit') {
553: $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
554: &Apache::edit::text_arg('Label on Plot:','label',
555: $token,'16').
556: &Apache::edit::text_arg('Tail x:','tailx',
557: $token,'8').
558: &Apache::edit::text_arg('Tail y:','taily',
559: $token,'8').
560: &Apache::edit::text_arg('Tip x:','tipx',
561: $token,'8').
562: &Apache::edit::text_arg('Tip y:','tipy',
563: $token,'8').
564:
565: &Apache::edit::end_row();
566: } elsif ($target eq 'modified') {
567: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
568: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
569: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
570: }
571: return $result;
572: }
573:
574: sub end_plotvector {
575: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
576: my $result='';
577: if ($target eq 'edit') {
578: $result=&Apache::edit::end_table();
579: }
580: return $result;
581: }
582:
583:
584:
585: #
586: # <backgroundplot function="..." fixed="yes/no" />
587: #
588: sub start_backgroundplot {
589: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
590: my $result='';
591: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
592: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
593: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
594: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
595: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
596: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
597: $color=~s/[^a-fA-F0-9]//gs;
598: unless (length($color)==6) { $color=''; }
599: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
600:
601: unless ($function) { $function="0"; }
602: if ($target eq 'web') {
603: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
604: unless (defined($xinitial)) { $xinitial=$xmin; }
605: unless (defined($xfinal)) { $xfinal=$xmax; }
606: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
607: } elsif ($target eq 'edit') {
608: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
609: &Apache::edit::text_arg('Function:','function',
610: $token,'16').
611: &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
612: $token,'8').
613: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
614: $token,'8').
615: &Apache::edit::text_arg('Label on Plot:','label',
616: $token,'8').
617: &Apache::edit::text_arg('Color (hex code):','color',
618: $token,'8').
619: &Apache::edit::select_arg('Fixed location:','fixed',
620: ['yes','no'],$token).
621: &Apache::edit::end_row();
622: } elsif ($target eq 'modified') {
623: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
624: $safeeval,'function','label','xinitial','xfinal','color','fixed');
625: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
626: }
627: return $result;
628: }
629:
630: sub end_backgroundplot {
631: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
632: my $result='';
633: if ($target eq 'edit') {
634: $result=&Apache::edit::end_table();
635: }
636: return $result;
637: }
638:
639: #
640: # <functionplotrule ... />
641: #
642: sub start_functionplotrule {
643: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
644: my $result='';
645: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
646: $Apache::functionplotresponse::counter++;
647: if ($label=~/\W/) {
648: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
649: }
650: $label=~s/\W//gs;
651: unless ($label) {
652: $label='R'.$Apache::functionplotresponse::counter;
653: } else {
654: $label='R'.$label;
655: }
656: if ($Apache::functionplotresponse::splineorder{$label}) {
657: &Apache::lonxml::error(&mt('Rule indices must be unique.'));
658: }
659:
660:
661: if ($target eq 'grade') {
662: # Simply remember - in order - for later
663: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
664: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
665: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
666: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
667: }
668: $beginninglabel=~s/\W//gs;
669: $endinglabel=~s/\W//gs;
670: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
671: $relationship=~s/\W//gs;
672: $relationship=lc($relationship);
673: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
674: &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
675: $relationship='eq';
676: }
677: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
678: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
679: &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
680: $derivative=0;
681: }
682: push(@Apache::functionplotresponse::functionplotrules,join(':',(
683: $label,
684: $derivative,
685: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
686: $beginninglabel,
687: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
688: $endinglabel,
689: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
690: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
691: $relationship,
692: &Apache::lonxml::get_param('value',$parstack,$safeeval),
693: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
694: )));
695: } elsif ($target eq 'edit') {
696: $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule').
697: &Apache::edit::text_arg('Index/Name:','index',
698: $token,'10').' '.
699: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
700: [['0','Function itself'],
701: ['1','First derivative'],
702: ['2','Second derivative'],
703: ['-1','Integral']],$token).'<br />'.
704: &Apache::edit::text_arg('Initial x-value:','xinitial',
705: $token,'8').
706: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
707: [['start','Start of Plot'],
708: ['end','End of Plot']],$token,'8').'<br />'.
709:
710: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
711: $token,'8').
712: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
713: [['end','End of Plot']],$token,'8').'<br />'.
714: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
715: $token,'8').
716: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
717: $token,'8').'<br />'.
718: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
719: [['eq','equal'],
720: ['ne','not equal'],
721: ['ge','greater than or equal'],
722: ['gt','greater than'],
723: ['lt','less than'],
724: ['le','less than or equal']],$token).
725: $result.= &Apache::edit::select_or_text_arg('Value:','value',
726: [['undef','not defined']],$token,'30').
727: &Apache::edit::text_arg('Percent error:','percenterror',
728: $token,'8').
729: &Apache::edit::end_row();
730: } elsif ($target eq 'modified') {
731: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
732: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
733: }
734: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
735: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
736: }
737: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
738: $safeeval,'index','derivativeorder',
739: 'xinitial','xinitiallabel','xfinal','xfinallabel',
740: 'minimumlength','maximumlength',
741: 'relationship','value','percenterror');
742: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
743: }
744: return $result;
745: }
746:
747: sub end_functionplotrule {
748: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
749: my $result='';
750: if ($target eq 'edit') {
751: $result=&Apache::edit::end_table();
752: }
753: return $result;
754: }
755:
756:
757: #
758: # <functionplotvectorrule ... />
759: #
760: sub start_functionplotvectorrule {
761: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
762: my $result='';
763: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
764: $Apache::functionplotresponse::counter++;
765: if ($label=~/\W/) {
766: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
767: }
768: $label=~s/\W//gs;
769: unless ($label) {
770: $label='V'.$Apache::functionplotresponse::counter;
771: } else {
772: $label='V'.$label;
773: }
774: if ($Apache::functionplotresponse::splineorder{$label}) {
775: &Apache::lonxml::error(&mt('Rule indices must be unique.'));
776: }
777:
778: if ($target eq 'grade') {
779: # Simply remember - in order - for later
780: my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval);
781: $vector=~s/\W//gs;
782: $vector=ucfirst($vector);
783:
784: my $attachpoint=&Apache::lonxml::get_param('attachpoint',$parstack,$safeeval);
785: $attachpoint=~s/\W//gs;
786: $attachpoint=ucfirst($attachpoint);
787:
788: my $notattachpoint=&Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval);
789: $notattachpoint=~s/\W//gs;
790: $notattachpoint=ucfirst($notattachpoint);
791:
792: my $tailpoint=&Apache::lonxml::get_param('tailpoint',$parstack,$safeeval);
793: $tailpoint=~s/\W//gs;
794: $tailpoint=ucfirst($tailpoint);
795: my $tippoint=&Apache::lonxml::get_param('tippoint',$parstack,$safeeval);
796: $tippoint=~s/\W//gs;
797: $tippoint=ucfirst($tippoint);
798:
799: my $nottailpoint=&Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval);
800: $nottailpoint=~s/\W//gs;
801: $nottailpoint=ucfirst($nottailpoint);
802: my $nottippoint=&Apache::lonxml::get_param('nottippoint',$parstack,$safeeval);
803: $nottippoint=~s/\W//gs;
804: $nottippoint=ucfirst($nottippoint);
805:
806: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
807: $label,
808: 'vector',
809: $vector,
810: $attachpoint,
811: $notattachpoint,
812: $tailpoint,
813: $tippoint,
814: $nottailpoint,
815: $nottippoint,
816: &Apache::lonxml::get_param('length',$parstack,$safeeval),
817: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
818: &Apache::lonxml::get_param('lengthpercenterror',$parstack,$safeeval),
819: &Apache::lonxml::get_param('anglepercenterror',$parstack,$safeeval),
820: )));
821: } elsif ($target eq 'edit') {
822: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule').
823: &Apache::edit::text_arg('Index/Name:','index',
824: $token,'10').' '.
825: &Apache::edit::text_arg('Vector:','vector',
826: $token,'16').'<br />'.
827: &Apache::edit::text_arg('Attached to object:','attachpoint',
828: $token,'16').
829: &Apache::edit::text_arg('Not attached to object:','notattachpoint',
830: $token,'16').'<br />'.
831: &Apache::edit::text_arg('Tail attached to object:','tailpoint',
832: $token,'16').
833: &Apache::edit::text_arg('Tip attached to object:','tippoint',
834: $token,'16').
835: &Apache::edit::text_arg('Tail not attached to object:','nottailpoint',
836: $token,'16').
837: &Apache::edit::text_arg('Tip not attached to object:','nottippoint',
838: $token,'16').'<br />'.
839: &Apache::edit::text_arg('Length:','length',
840: $token,'16').
841: &Apache::edit::text_arg('Angle:','angle',
842: $token,'16').
843: &Apache::edit::text_arg('Percent error length:','lengthpercenterror',
844: $token,'8').
845: &Apache::edit::text_arg('Percent error angle:','anglepercenterror',
846: $token,'8').
847: &Apache::edit::end_row();
848: } elsif ($target eq 'modified') {
849: $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')});
850: $env{'form.'.&Apache::edit::html_element_name('attachpoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('attachpoint')});
851: $env{'form.'.&Apache::edit::html_element_name('notattachpoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('notattachpoint')});
852: $env{'form.'.&Apache::edit::html_element_name('tailpoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('tailpoint')});
853: $env{'form.'.&Apache::edit::html_element_name('tippoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('tippoint')});
854: $env{'form.'.&Apache::edit::html_element_name('nottailpoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('nottailpoint')});
855: $env{'form.'.&Apache::edit::html_element_name('nottippoint')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('nottippoint')});
856: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
857: $safeeval,'index','vector','attachpoint','notattachpoint',
858: 'tailpoint','tippoint','nottailpoint','nottipoint',
859: 'length','angle',
860: 'lengthpercenterror','anglepercenterror');
861: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
862: }
863: return $result;
864: }
865:
866: sub end_functionplotvectorrule {
867: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
868: my $result='';
869: if ($target eq 'edit') {
870: $result=&Apache::edit::end_table();
871: }
872: return $result;
873: }
874:
875: #
876: # <functionplotvectorsumrule ... />
877: #
878: sub start_functionplotvectorsumrule {
879: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
880: my $result='';
881: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
882: $Apache::functionplotresponse::counter++;
883: if ($label=~/\W/) {
884: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
885: }
886: $label=~s/\W//gs;
887: unless ($label) {
888: $label='V'.$Apache::functionplotresponse::counter;
889: } else {
890: $label='V'.$label;
891: }
892: if ($Apache::functionplotresponse::splineorder{$label}) {
893: &Apache::lonxml::error(&mt('Rule indices must be unique.'));
894: }
895: if ($target eq 'grade') {
896: # Simply remember - in order - for later
897: my $object=&Apache::lonxml::get_param('object',$parstack,$safeeval);
898: $object=~s/\W//gs;
899: $object=ucfirst($object);
900: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
901: $label,
902: 'sum',
903: $object,
904: &Apache::lonxml::get_param('length',$parstack,$safeeval),
905: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
906: &Apache::lonxml::get_param('lengthpercenterror',$parstack,$safeeval),
907: &Apache::lonxml::get_param('lengthabserror',$parstack,$safeeval),
908: &Apache::lonxml::get_param('anglepercenterror',$parstack,$safeeval),
909: )));
910: } elsif ($target eq 'edit') {
911: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule').
912: &Apache::edit::text_arg('Index/Name:','index',
913: $token,'10').' '.
914: &Apache::edit::text_arg('Vectors attached to object:','object',
915: $token,'16').'<br />'.
916: &Apache::edit::text_arg('Sum vector length:','length',
917: $token,'16').
918: &Apache::edit::text_arg('Sum vector angle:','angle',
919: $token,'16').
920: &Apache::edit::text_arg('Percent error length:','lengthpercenterror',
921: $token,'8').
922: &Apache::edit::text_arg('Absolute error length:','lengthabserror',
923: $token,'8').
924: &Apache::edit::text_arg('Percent error angle:','anglepercenterror',
925: $token,'8').
926: &Apache::edit::end_row();
927: } elsif ($target eq 'modified') {
928: $env{'form.'.&Apache::edit::html_element_name('object')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('object')});
929: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
930: $safeeval,'index','object',
931: 'length','angle',
932: 'lengthpercenterror','lengthabserror','anglepercenterror');
933: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
934: }
935: return $result;
936: }
937:
938: sub end_functionplotvectorsumrule {
939: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
940: my $result='';
941: if ($target eq 'edit') {
942: $result=&Apache::edit::end_table();
943: }
944: return $result;
945: }
946:
947: #
948: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
949: #
950: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
951: #
952: sub start_spline {
953: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
954: my $result='';
955: if ($target eq 'web') {
956: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
957: $Apache::functionplotresponse::counter++;
958: if ($label=~/\W/) {
959: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
960: }
961: $label=~s/\W//gs;
962: unless ($label) {
963: $label='S'.$Apache::functionplotresponse::counter;
964: } else {
965: $label='S'.$label;
966: }
967: if ($Apache::functionplotresponse::splineorder{$label}) {
968: &Apache::lonxml::error(&mt('Spline indices must be unique.'));
969: }
970:
971: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
972: if ($order<2) { $order=2; }
973: if ($order>8) { $order=8; }
974: $Apache::functionplotresponse::splineorder{$label}=$order;
975:
976: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
977: unless ($x) { $x=0; }
978: $Apache::functionplotresponse::splineinitx{$label}=$x;
979:
980: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
981: unless ($y) { $y=0; }
982: $Apache::functionplotresponse::splineinity{$label}=$y;
983:
984: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
985: unless ($sx) { $sx=$order; }
986: $Apache::functionplotresponse::splinescalex{$label}=$sx;
987:
988: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
989: unless ($sy) { $sy=2; }
990: $Apache::functionplotresponse::splinescaley{$label}=$sy;
991: } elsif ($target eq 'edit') {
992: $result=&Apache::edit::tag_start($target,$token,'Spline').
993: &Apache::edit::text_arg('Index:','index',
994: $token,'4').' '.
995: &Apache::edit::select_arg('Order:','order',
996: ['2','3','4','5','6','7','8'],$token).' '.
997: &Apache::edit::text_arg('Initial x-value:','initx',
998: $token,'4').' '.
999: &Apache::edit::text_arg('Initial y-value:','inity',
1000: $token,'4').' '.
1001: &Apache::edit::text_arg('Scale x:','scalex',
1002: $token,'4').' '.
1003: &Apache::edit::text_arg('Scale y:','scaley',
1004: $token,'4').
1005: &Apache::edit::end_row();
1006: } elsif ($target eq 'modified') {
1007: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1008: $safeeval,'index','order','initx','inity',
1009: 'scalex','scaley');
1010: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1011: }
1012: return $result;
1013: }
1014:
1015: sub end_spline {
1016: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1017: my $result='';
1018: if ($target eq 'edit') {
1019: $result=&Apache::edit::end_table();
1020: }
1021: return $result;
1022: }
1023:
1024: sub end_init_script {
1025: return (<<ENDENDINIT);
1026: }
1027: // ]]>
1028: </script>
1029: ENDENDINIT
1030: }
1031:
1032: #
1033: # Storing and restoring spline coordinates from part answers
1034: #
1035: sub decode_previous_answer {
1036: my ($answer)=@_;
1037: foreach my $coordinate (split(/\,/,$answer)) {
1038: my ($key,$value)=split(/\=/,$coordinate);
1039: $Apache::functionplotresponse::previous{$key}=$value;
1040: }
1041: }
1042:
1043: sub get_answer_from_form_fields {
1044: my ($id)=@_;
1045: my $answer='';
1046: my %coords=();
1047: foreach my $field (keys(%env)) {
1048: if ($field=~/^form\.HWVAL\_$id/) {
1049: $field=~/^form\.(.*)$/;
1050: $coords{$1}=$env{$field};
1051: }
1052: }
1053: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
1054: return ($answer,%coords);
1055: }
1056:
1057: #
1058: # The following functions calculate the cubic-hermite splines server-side
1059: #
1060:
1061: sub cubic_hermite {
1062: my ($t,$p1,$s1,$p2,$s2)=@_;
1063: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
1064: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2);
1065: }
1066:
1067: #
1068: # d/dt(...)
1069: #
1070:
1071: sub ddt_cubic_hermite {
1072: my ($t,$p1,$s1,$p2,$s2)=@_;
1073: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
1074: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2);
1075: }
1076:
1077: #
1078: # d^2/dt^2(...)
1079: #
1080:
1081: sub d2dt2_cubic_hermite {
1082: my ($t,$p1,$s1,$p2,$s2)=@_;
1083: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
1084: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
1085: }
1086:
1087: #
1088: # Array index calculation
1089: #
1090: sub array_index {
1091: my ($xmin,$xmax,$x)=@_;
1092: if ($x ne '') {
1093: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
1094: } else {
1095: return undef;
1096: }
1097: }
1098:
1099: #
1100: # Populate the arrays
1101: #
1102:
1103: sub populate_arrays {
1104: my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
1105: for (my $i=0; $i<=400; $i++) {
1106: $Apache::functionplotresponse::actualxval[$i]=undef;
1107: $Apache::functionplotresponse::func[$i]=undef;
1108: $Apache::functionplotresponse::dfuncdx[$i]=undef;
1109: $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1110: }
1111: unless ($xmax>$xmin) { return 'no_func'; }
1112: # Run over all splines in response
1113: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1114: my $xiold=-1;
1115: # Run over all points in spline
1116: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1117: my $ni=$i+1;
1118: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
1119: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
1120: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
1121: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
1122: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
1123: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
1124: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
1125: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
1126: # Run in small steps over spline parameter
1127: for (my $t=0; $t<=1; $t+=0.0001) {
1128: my $xreal=&cubic_hermite($t,@xparms);
1129: my $xi=&array_index($xmin,$xmax,$xreal);
1130: if ($xi<$xiold) { return 'no_func'; }
1131: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
1132: $xiold=$xi;
1133: $Apache::functionplotresponse::actualxval[$xi]=$xreal;
1134: # Function value
1135: my $funcval=&cubic_hermite($t,@yparms);
1136:
1137: # Do we already have a value for this point, and is it different from the new one?
1138: if ((defined($Apache::functionplotresponse::func[$xi])) &&
1139: (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) {
1140: return 'no_func';
1141: }
1142: # Okay, remember the new point
1143: $Apache::functionplotresponse::func[$xi]=$funcval;
1144:
1145: if (defined($funcval)) {
1146: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
1147: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
1148: }
1149: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
1150: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
1151: }
1152: }
1153: # Chain rule
1154: # dy/dx=dy/dt/(dx/dt)
1155: my $dxdt=&ddt_cubic_hermite($t,@xparms);
1156: if ($dxdt) {
1157: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
1158: # Second derivative
1159: $Apache::functionplotresponse::d2funcdx2[$xi]=
1160: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
1161: ($dxdt*$dxdt*$dxdt);
1162: }
1163: }
1164: }
1165: }
1166: }
1167: }
1168:
1169: #
1170: # Implementation of <functionplotresponse>
1171: #
1172:
1173: sub start_functionplotresponse {
1174: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1175: my $result='';
1176: # To remember the splines - somehow, they need to come last
1177: undef %Apache::functionplotresponse::splineorder;
1178: undef %Apache::functionplotresponse::splineinitx;
1179: undef %Apache::functionplotresponse::splineinity;
1180: undef %Apache::functionplotresponse::splinescalex;
1181: undef %Apache::functionplotresponse::splinescaley;
1182: # Remember input fields, etc
1183: undef %Apache::functionplotresponse::previous;
1184: $Apache::functionplotresponse::inputfields='';
1185: $Apache::functionplotresponse::counter=0;
1186: # Remember rules
1187: undef @Apache::functionplotresponse::functionplotrules;
1188: undef @Apache::functionplotresponse::functionplotvectorrules;
1189: # Remember failed rules
1190: if ($target eq 'grade') {
1191: undef @Apache::functionplotresponse::failedrules;
1192: }
1193: # Delete previous awards
1194: undef $Apache::functionplotresponse::awarddetail;
1195: # Part and ID
1196: my $partid=$Apache::inputtags::part;
1197: my $id=&Apache::response::start_response($parstack,$safeeval);
1198: # Internal ID to mark the applet and its coordinates
1199: my $internalid = $partid.'_'.$id;
1200: # Previous answer
1201: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
1202:
1203: # Parameters of <functionplotresponse>
1204: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
1205: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1206: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1207: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1208: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
1209: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1210: if ($target eq 'edit') {
1211: $result.=&Apache::edit::start_table($token)
1212: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
1213: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1214: .&Apache::edit::deletelist($target,$token).' '
1215: .&Apache::edit::insertlist($target,$token).' '
1216: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
1217: .'</span></td>'
1218: ."<td> "
1219: .&Apache::edit::end_row()
1220: .&Apache::edit::start_spanning_row()
1221: ."\n";
1222: $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
1223: $token,'6').' '.
1224: &Apache::edit::text_arg('Minimum x-value:','xmin',
1225: $token,'4').' '.
1226: &Apache::edit::text_arg('Maximum x-value:','xmax',
1227: $token,'4').' '.
1228: &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1229: ['yes','no'],$token).'<br />'.
1230: &Apache::edit::text_arg('Label y-axis:','ylabel',
1231: $token,'6').' '.
1232: &Apache::edit::text_arg('Minimum y-value:','ymin',
1233: $token,'4').' '.
1234: &Apache::edit::text_arg('Maximum y-value:','ymax',
1235: $token,'4').' '.
1236: &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1237: ['yes','no'],$token).'<br />'.
1238: &Apache::edit::select_arg('Grid visible:','gridvisible',
1239: ['yes','no'],$token).'<br />'.
1240: &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
1241: 'answerdisplay',$token,'50').
1242: &Apache::edit::end_row().&Apache::edit::start_spanning_row();
1243: } elsif ($target eq 'modified') {
1244: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1245: $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
1246: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
1247: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1248:
1249: } elsif ($target eq 'meta') {
1250: $result=&Apache::response::meta_package_write('functionplotresponse');
1251: } elsif (($target eq 'answer') &&
1252: ($env{'form.answer_output_mode'} ne 'tex') &&
1253: ($Apache::lonhomework::viewgrades == 'F')) {
1254: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
1255: my $windowopen=&Apache::lonhtmlcommon::javascript_docopen();
1256: my $start_page = &Apache::loncommon::start_page('Rules Log', undef,
1257: {'only_body' => 1,
1258: 'bgcolor' => '#FFFFFF',
1259: 'js_ready' => 1,});
1260: my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,});
1261: $uname =~s/\W//g;
1262: $udom =~s/\W//g;
1263: my $function_name =
1264: join('_','LONCAPA_scriptvars',$uname,$udom,
1265: $env{'form.counter'},$Apache::lonxml::curdepth);
1266: my $rules_var ="<script type=\"text/javascript\">
1267: // <![CDATA[
1268: function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>".
1269: $Apache::functionplotresponse::ruleslog.
1270: "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()}
1271: // ]]>
1272: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />";
1273: &Apache::lonxml::add_script_result($rules_var);
1274: }
1275:
1276: return $result;
1277: }
1278:
1279: sub compare_rel {
1280: my ($relationship,$value,$realval,$tol)=@_;
1281: # is the real value undefined?
1282: unless (defined($realval)) {
1283: # the real value is not defined
1284: if ($relationship eq 'eq') {
1285: if ($value eq 'undef') {
1286: return 1;
1287: } else {
1288: return 0;
1289: }
1290: } elsif ($relationship eq 'ne') {
1291: if ($value eq 'undef') {
1292: return 0;
1293: } else {
1294: return 1;
1295: }
1296: } else {
1297: return 0;
1298: }
1299: }
1300:
1301: # is the expected value undefined?
1302: if ($value eq 'undef') {
1303: # but by now we know that the real value is defined
1304: return 0;
1305: }
1306:
1307: # both are defined.
1308: if ($relationship eq 'gt') {
1309: return ($realval>$value);
1310: } elsif ($relationship eq 'ge') {
1311: return ($realval>$value-$tol);
1312: } elsif ($relationship eq 'lt') {
1313: return ($realval<$value);
1314: } elsif ($relationship eq 'le') {
1315: return ($realval<$value+$tol);
1316: } elsif ($relationship eq 'ne') {
1317: return (abs($value-$realval)>$tol);
1318: } else {
1319: return (abs($value-$realval)<$tol);
1320: }
1321: return 0;
1322: }
1323:
1324: sub addlog {
1325: my ($text)=@_;
1326: $text=~s/\'/\\\'/g;
1327: $Apache::functionplotresponse::ruleslog.=$text.'<br />';
1328: }
1329:
1330: sub actualval {
1331: my ($i,$xmin,$xmax)=@_;
1332: return $xmin+$i/400.*($xmax-$xmin);
1333: }
1334:
1335: sub fpr_val {
1336: my ($arg)=@_;
1337: return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
1338: $Apache::functionplotresponse::fpr_xmin,
1339: $Apache::functionplotresponse::fpr_xmax);
1340: }
1341:
1342: sub fpr_f {
1343: my ($arg)=@_;
1344: return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
1345: $Apache::functionplotresponse::fpr_xmax,
1346: $arg)];
1347: }
1348:
1349: sub fpr_dfdx {
1350: my ($arg)=@_;
1351: return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
1352: $Apache::functionplotresponse::fpr_xmax,
1353: $arg)];
1354: }
1355:
1356: sub fpr_d2fdx2 {
1357: my ($arg)=@_;
1358: return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
1359: $Apache::functionplotresponse::fpr_xmax,
1360: $arg)];
1361: }
1362:
1363: sub functionplotrulecheck {
1364: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1365:
1366: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
1367: =split(/\:/,$rule);
1368: $percent=($percent>0?$percent:5);
1369: &addlog("=================");
1370: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
1371: #
1372: # Evaluate the value
1373: #
1374: if ($value=~/\D/) {
1375: $Apache::functionplotresponse::fpr_xmin=$xmin;
1376: $Apache::functionplotresponse::fpr_xmax=$xmax;
1377: $value=&Apache::run::run($value,$safeeval);
1378: &addlog("Value evaluated to $value");
1379: }
1380:
1381: #
1382: # Minimum and maximum lengths of the interval
1383: #
1384: if ((defined($minimumlength)) || (defined($maximumlength))) {
1385: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
1386: }
1387: my $li=0;
1388: my $lh=400;
1389:
1390: # Special case: the upper boundary was not defined
1391: # and needs to be set to the value where
1392: # the condition is not true anymore => set flag
1393:
1394: my $findupper=0;
1395: if (($xfinal eq '')
1396: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
1397: && ($xfinallabel)) {
1398: $findupper=1;
1399: }
1400:
1401: # if a hard value is set for the boundaries, it overrides the label
1402: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
1403: $li=&array_index($xmin,$xmax,$xinitial);
1404: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
1405: }
1406: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
1407: $lh=&array_index($xmin,$xmax,$xfinal);
1408: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
1409: }
1410: # if the label is defined, use it
1411: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
1412: &addlog("Using lower label $xinitiallabel");
1413: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
1414: } else {
1415: $li=&array_index($xmin,$xmax,$xinitial);
1416: }
1417: unless ($findupper) {
1418: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
1419: &addlog("Using upper label $xfinallabel");
1420: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
1421: } else {
1422: $lh=&array_index($xmin,$xmax,$xfinal);
1423: }
1424: }
1425: # Basic sanity checks
1426: if ($li<0) { $li=0; }
1427: if ($lh>400) { $lh=400; }
1428: if (($li>$lh) || (!defined($lh))) {
1429: $lh=$li;
1430: }
1431:
1432: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
1433: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
1434: if ($findupper) {
1435: &addlog("Looking for label $xfinallabel");
1436: }
1437: my $tol=$percent*($ymax-$ymin)/100;
1438: if ($xmax>$xmin) {
1439: if ($derivative==2) {
1440: $tol=4.*$tol/($xmax-$xmin);
1441: } elsif ($derivative==1) {
1442: $tol=2.*$tol/($xmax-$xmin);
1443: } elsif ($derivative==-1) {
1444: $tol=$tol*($xmax-$xmin)/2.;
1445: }
1446: }
1447: my $integral=0;
1448: my $binwidth=($xmax-$xmin)/400.;
1449: if (($derivative<0) && (!$findupper)) {
1450: # definite integral, calculate over whole length
1451: &addlog("Calculating definite integral");
1452: for (my $i=$li; $i<=$lh; $i++) {
1453: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1454: }
1455: unless (&compare_rel($relationship,$value,$integral,$tol)) {
1456: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
1457: &addlog("Rule $label failed.");
1458: my $hintlabel=$label;
1459: $hintlabel=~s/^R//;
1460: push(@Apache::functionplotresponse::failedrules,$hintlabel);
1461: &addlog("Set hint condition $hintlabel");
1462: return 0;
1463: }
1464: } else {
1465: for (my $i=$li; $i<=$lh; $i++) {
1466: my $val;
1467: if ($derivative==2) {
1468: $val=$Apache::functionplotresponse::d2funcdx2[$i];
1469: } elsif ($derivative==1) {
1470: $val=$Apache::functionplotresponse::dfuncdx[$i];
1471: } elsif ($derivative==-1) {
1472: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1473: $val=$integral;
1474: } else {
1475: $val=$Apache::functionplotresponse::func[$i];
1476: }
1477: unless (&compare_rel($relationship,$value,$val,$tol)) {
1478: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1479: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1480: if (($findupper) && ($i>$li)) {
1481: # Check lengths
1482: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1483: # Successfully found a new label, set it
1484: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1485: &addlog("Rule $label passed, setting label $xfinallabel");
1486: return 1;
1487: } else {
1488: &addlog("Rule $label failed.");
1489: &setfailed($label);
1490: return 0;
1491: }
1492: }
1493: }
1494: }
1495: # Corner case where this makes sense: using start or stop as defined labels
1496: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1497: &addlog("Rule $label passed.");
1498: return 1;
1499: }
1500:
1501: #
1502: # check for minimum and maximum lengths
1503: #
1504:
1505: sub checklength {
1506: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
1507: unless (($minimumlength) || ($maximumlength)) { return 1; }
1508: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
1509: if ($minimumlength) {
1510: if ($length<$minimumlength) {
1511: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
1512: &setfailed($label);
1513: return 0;
1514: }
1515: }
1516: if ($maximumlength) {
1517: if ($length>$maximumlength) {
1518: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
1519: &setfailed($label);
1520: return 0;
1521: }
1522: }
1523: return 1;
1524: }
1525:
1526: sub setfailed {
1527: my ($label)=@_;
1528: my $hintlabel=$label;
1529: $hintlabel=~s/^R//;
1530: push(@Apache::functionplotresponse::failedrules,$hintlabel);
1531: &addlog("Set hint condition $hintlabel");
1532: }
1533:
1534: sub start_functionplotruleset {
1535: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1536: if ($target eq 'edit') {
1537: return &Apache::edit::start_table($token).
1538: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
1539: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1540: .&Apache::edit::deletelist($target,$token).' '.
1541: &Apache::edit::insertlist($target,$token).' '
1542: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
1543: .'</span></td>'
1544: ."<td> "
1545: .&Apache::edit::end_row()
1546: .&Apache::edit::start_spanning_row()
1547: ."\n";
1548: }
1549: }
1550:
1551: sub end_functionplotruleset {
1552: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
1553: my $id=$Apache::inputtags::response[-1];
1554: my $partid=$Apache::inputtags::part;
1555: my $internalid = $partid.'_'.$id;
1556:
1557: if ($target eq 'edit' ) {
1558: return &Apache::edit::end_table();
1559: } elsif ($target eq 'grade'
1560: && &Apache::response::submitted()
1561: && $Apache::lonhomework::type ne 'exam') {
1562: #
1563: # Actually grade
1564: #
1565: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1566:
1567: my $ad='';
1568: undef %Apache::functionplotresponse::functionplotrulelabels;
1569: $Apache::functionplotresponse::ruleslog='';
1570: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
1571: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
1572: if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
1573: $ad='NOT_FUNCTION';
1574: } else {
1575: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
1576: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
1577: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
1578: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
1579:
1580: # We have a function that we can actually grade, go through the spline rules.
1581: foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
1582: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
1583: $ad='INCORRECT';
1584: last;
1585: }
1586: }
1587: # If it's not wrong, it's correct
1588: unless ($ad) { $ad='EXACT_ANS' };
1589: }
1590: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
1591: &addlog("Assigned award detail: $ad");
1592: # Store for later to be assigned at end_functionplotresponse
1593: $Apache::functionplotresponse::awarddetail=$ad;
1594: }
1595: }
1596:
1597:
1598: sub end_functionplotresponse {
1599: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1600: &Apache::response::end_response;
1601:
1602: my $result;
1603: my $id=$Apache::inputtags::response[-1];
1604: my $partid=$Apache::inputtags::part;
1605: my $internalid = $partid.'_'.$id;
1606:
1607: if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
1608: if ($target eq 'grade'
1609: && &Apache::response::submitted()
1610: && $Apache::lonhomework::type eq 'exam') {
1611:
1612: &Apache::response::scored_response($partid,$id);
1613:
1614: } elsif ($target eq 'grade'
1615: && &Apache::response::submitted()
1616: && $Apache::lonhomework::type ne 'exam') {
1617: my ($response,%coords)=&get_answer_from_form_fields($internalid);
1618: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
1619: my %previous=&Apache::response::check_for_previous($response,$partid,$id);
1620: #
1621: # Assign grade
1622: #
1623: my $ad=$Apache::functionplotresponse::awarddetail;
1624: #
1625: # Store grading info
1626: #
1627: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
1628: &Apache::response::handle_previous(\%previous,$ad);
1629: } elsif ($target eq 'web') {
1630: undef @Apache::functionplotresponse::failedrules;
1631: }
1632: return $result;
1633: }
1634:
1635: sub end_functionplotelements {
1636: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
1637: my $result='';
1638: my $id=$Apache::inputtags::response[-1];
1639: my $partid=$Apache::inputtags::part;
1640: my $internalid = $partid.'_'.$id;
1641: if ($target eq 'edit' ) {
1642: $result=&Apache::edit::end_table();
1643: } elsif ($target eq 'web') {
1644: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1645:
1646: # Are we in show answer mode?
1647: my $showanswer=&Apache::response::show_answer();
1648: if ($showanswer) {
1649: # Render answerdisplay
1650: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
1651: if ($answerdisplay=~/\S/s) {
1652: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
1653: my @components=split(/\s*\:\s*/,$plot);
1654: if ($#components<3) {
1655: # Just a simple plot
1656: my ($func,$xl,$xh)=@components;
1657: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
1658: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
1659: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
1660: } else {
1661: # This is a spline
1662: $result.=&answer_spline_script($internalid,@components);
1663: }
1664: }
1665: }
1666: }
1667: my $fixed=0;
1668: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
1669: # Now is the time to render all of the stored splines
1670: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
1671: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
1672: }
1673: # close the init script
1674: $result.=&end_init_script();
1675: # register all splines in this response
1676: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
1677: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
1678: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
1679: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
1680: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
1681: }
1682: # generate the input fields
1683: $result.=$Apache::functionplotresponse::inputfields;
1684: # actually start the <applet>-tag
1685: $result.=&geogebra_startcode($internalid);
1686: # load the spline bytecode
1687: $result.=&geogebra_spline_program();
1688: # set default parameters
1689: $result.=&geogebra_default_parameters($internalid);
1690: # close the <applet>-tag
1691: $result.=&geogebra_endcode();
1692: }
1693: return $result;
1694: }
1695:
1696: sub boundaries {
1697: my ($parstack,$safeeval,$level)=@_;
1698: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
1699: $xmin=(defined($xmin)?$xmin:-10);
1700: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
1701: $xmax=(defined($xmax)?$xmax:10);
1702: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
1703: $ymin=(defined($ymin)?$ymin:-10);
1704: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
1705: $ymax=(defined($ymax)?$ymax:10);
1706: if ($xmax<=$xmin) {
1707: $xmax=$xmin+20;
1708: }
1709: if ($ymax<=$ymin) {
1710: $ymax=$ymin+20;
1711: }
1712: return ($xmin,$xmax,$ymin,$ymax);
1713: }
1714:
1715: sub start_functionplotelements {
1716: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1717: my $result='';
1718: my $id=$Apache::inputtags::response[-1];
1719: my $partid=$Apache::inputtags::part;
1720: my $internalid = $partid.'_'.$id;
1721:
1722: if ($target eq 'edit') {
1723: return &Apache::edit::start_table($token).
1724: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
1725: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1726: .&Apache::edit::deletelist($target,$token).' '.
1727: &Apache::edit::insertlist($target,$token).' '
1728: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
1729: .'</span></td>'
1730: ."<td> "
1731: .&Apache::edit::end_row()
1732: .&Apache::edit::start_spanning_row()
1733: ."\n";
1734: } elsif ($target eq 'web') {
1735: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
1736: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1737: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1738: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
1739: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
1740: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
1741:
1742:
1743: # paste in the update routine to receive stuff back from the applet
1744: $result.=&update_script($internalid);
1745: # start the initscript for this applet
1746: $result.=&start_init_script($internalid);
1747: # put the axis commands inside
1748: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1749: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
1750: # init script is left open
1751: }
1752: return $result;
1753: }
1754:
1755: 1;
1756:
1757: __END__
1758:
1759: =head1 NAME
1760:
1761: Apache::functionplotresponse.pm;
1762:
1763: =head1 SYNOPSIS
1764:
1765: Handles tags associated with accepting function plots.
1766:
1767: This is part of the LearningOnline Network with CAPA project
1768: described at http://www.lon-capa.org.
1769:
1770: =head1 HANDLER SUBROUTINE
1771:
1772: start_functionplotresponse()
1773:
1774: =head1 OTHER SUBROUTINES
1775:
1776: =over
1777:
1778: =item end_functionplotresponse()
1779:
1780: =back
1781:
1782: =cut
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