1: # LearningOnline Network with CAPA
2: # Functionplot responses
3: #
4: # $Id: functionplotresponse.pm,v 1.112 2024/06/06 15:55:19 raeburn 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: use LONCAPA;
36:
37: BEGIN {
38: &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline',
39: 'plotobject','plotvector',
40: 'functionplotvectorrule','functionplotvectorsumrule',
41: 'drawvectorsum',
42: 'functionplotcustomrule',
43: 'functionplotrule','functionplotruleset',
44: 'functionplotelements'));
45: }
46:
47: #
48: # Use old Java or HTML5/Javascript for GeoGebra? Depends on browser!
49: # Return a true value if HTML5 should be used.
50:
51: sub useHTML5 {
52: if ($env{'browser.type'} eq 'chrome') {
53: if ($env{'browser.version'} >= 14) {
54: return 1;
55: }
56: } elsif ($env{'browser.type'} eq 'safari') {
57: if ($env{'browser.os'} eq 'mac') {
58: my ($prefix,$version) = ($env{'browser.version'} =~ /^(\d*)(\d{3})\./);
59: if ($version >= 536) {
60: return 1;
61: }
62: }
63: } elsif ($env{'browser.type'} eq 'mozilla') {
64: if ($env{'browser.info'} =~ /^firefox\-(\d+)/) {
65: my $firefox = $1;
66: if ((($env{'browser.os'} eq 'mac') && ($firefox >= 20)) ||
67: (($env{'browser.os'} eq 'unix') && ($firefox >= 17)) ||
68: (($env{'browser.os'} eq 'win') && ($firefox >= 14))) {
69: return 1;
70: }
71: }
72: } elsif ($env{'browser.type'} eq 'explorer') {
73: if (($env{'browser.os'} eq 'win') && ($env{'browser.version'} >= 10)) {
74: return 1;
75: }
76: } elsif ($env{'browser.type'} eq 'opera') {
77: if ($env{'browser.version'} >= 18) {
78: return 1;
79: }
80: }
81: return 0;
82: }
83:
84: #
85: # HTML5 version does not understand "_" in IDs
86: #
87: sub appid {
88: my ($id)=@_;
89: $id=~s/\_/rid/gs;
90: $id=~s/\W//gs;
91: return $id;
92: }
93:
94: #
95: # Routines to start the applet (Java) or the HTML5/JavaScript
96: #
97: # There can be a number of applets on a page, each called ggbApplet_$id,
98: # where $id is the "_"-concatenated part and responseid
99: #
100:
101: sub geogebra_startcode {
102: my ($id,$width,$height)=@_;
103: if (&useHTML5()) {
104: return &html5_geogebra_startcode(@_);
105: } else {
106: return &java_geogebra_startcode(@_).
107: &java_geogebra_code_param();
108: }
109: }
110:
111: sub geogebra_endcode {
112: if (&useHTML5()) {
113: return '';
114: } else {
115: return &java_geogebra_endcode();
116: }
117: }
118:
119: sub geogebra_default_parameters {
120: my ($id)=@_;
121: if (&useHTML5()) {
122: return '';
123: } else {
124: return &java_geogebra_default_parameters($id);
125: }
126: }
127: # === Java code
128:
129: sub java_geogebra_startcode {
130: my ($id,$width,$height)=@_;
131: my $appid=&appid($id);
132: $width=int(1.*$width);
133: $height=int(1.*$height);
134: unless ($width) { $width=700; }
135: unless ($height) { $height=400; }
136: return (<<ENDSTARTCODE);
137: <applet name="ggbApplet$appid" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
138: codebase="/adm/geogebra/" width="$width" height="$height" MAYSCRIPT>
139: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
140: ENDSTARTCODE
141: }
142:
143: sub java_geogebra_endcode {
144: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
145: }
146:
147: sub java_geogebra_code_param {
148: return '<param name="ggbBase64" value="'.&geogebra_internal_program().'" />';
149: }
150:
151: # === HTML5 code
152:
153: sub html5_geogebra_startcode {
154: my ($id,$width,$height)=@_;
155: my $appid=&appid($id);
156: $width=int(1.*$width);
157: $height=int(1.*$height);
158: unless ($width) { $width=700; }
159: unless ($height) { $height=400; }
160: my $code=&geogebra_internal_program();
161: return (<<ENDSTARTCODE);
162: <div class="LC_left_float" style="margin:0; width:100%;">
163: <article class="geogebraweb" data-param-enableLabelDrags="false" data-param-enableShiftDragZoom="false"
164: data-param-width="$width" data-param-height="$height" data-param-id="ggbApplet$appid"
165: data-param-useBrowserForJS="true" data-param-ggbbase64="$code"></article>
166: </div><div style="padding:0;clear:both;margin:0;border:0"></div>
167: ENDSTARTCODE
168: }
169:
170: #
171: # This is the internal GeoGebra bytecode which defines the spline functions
172: #
173: sub geogebra_internal_program {
174: return
175: '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';
176: }
177:
178: #
179: # The standard set of parameters inside <applet>
180: #
181: sub java_geogebra_default_parameters {
182: my ($id)=@_;
183: my $appid=&appid($id);
184: return(<<ENDDEFAULTPARAMETERS);
185: <param name="image" value="/adm/lonIcons/lonanim.gif" />
186: <param name="boxborder" value="false" />
187: <param name="centerimage" value="true" />
188: <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" />
189: <param name="cache_version" value="4.4.3.0,4.4.3.0,4.4.3.0,4.4.3.0,4.4.3.0,4.4.3.0,4.4.3.0,4.4.3.0,4.4.3.0,4.4.3.0,4.4.3.0" />
190: <param name="framePossible" value="false" />
191:
192: <param name="showResetIcon" value="false" />
193: <param name="showAnimationButton" value="false" />
194: <param name="enableRightClick" value="false" />
195: <param name="errorDialogsActive" value="true" />
196: <param name="enableLabelDrags" value="false" />
197: <param name="showMenuBar" value="false" />
198: <param name="showToolBar" value="false" />
199: <param name="showToolBarHelp" value="false" />
200: <param name="showAlgebraInput" value="false" />
201: <param name="enableShiftDragZoom" value="false" />
202: <param name="allowRescaling" value="false" />
203: <param name="enableLabelDrags" value="false" />
204: <param name="ggbOnInitParam" value="ggbApplet$appid" />
205: ENDDEFAULTPARAMETERS
206: }
207:
208: #
209: # This subroutine is called by LON-CAPA at </problem>
210: # Each applet on the page will call function ggbOnInit when it is done loading
211: # This function in turn will call the respective function registered by start_init_script
212: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
213: #
214:
215: sub init_script {
216: if ($#Apache::functionplotresponse::callscripts>=0) {
217: my $script='';
218: foreach my $id (@Apache::functionplotresponse::callscripts) {
219: $script.="if (param=='ggbApplet".&appid($id)."') { loaded_$id=true; }\n";
220: }
221: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
222: ") { setTimeout('ggbInitAll()',200) }";
223: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts));
224: my $html5init='';
225: if (&useHTML5()) {
226: $html5init=
227: '<script type="text/javascript" language="javascript" src="/adm/geogebra/web/web.nocache.js"></script>';
228: }
229: return (<<ENDGGBINIT);
230: $html5init
231: <script type="text/javascript">
232: // <![CDATA[
233: // Function that each applet will call when loaded
234: // It will pass "its" parameter
235: // Set flags for when an applet is loaded, wait till all are loaded, and then some
236: function ggbOnInit(param) {
237: $script
238: }
239: function ggbInitAll() {
240: $calls
241: }
242: // ]]>
243: </script>
244: ENDGGBINIT
245: }
246: }
247:
248: #
249: # Each Geogebra applet is supposed to call this when parameters change
250: # Changes the hidden fields on the web page
251: #
252: sub update_script {
253: my ($id)=@_;
254: my $appid=&appid($id);
255: return (<<ENDUPDATESCRIPT);
256: <script type="text/javascript">
257: // <![CDATA[
258: function updatePointCoordinates_$id(coordinateName) {
259: var x = document.ggbApplet$appid.getXcoord(coordinateName);
260: var y = document.ggbApplet$appid.getYcoord(coordinateName);
261: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
262: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
263: }
264: // ]]>
265: </script>
266: ENDUPDATESCRIPT
267: }
268:
269: #
270: # Register the above update-handler for a variable
271: #
272:
273: sub update_register {
274: my ($id,$variable)=@_;
275: my $appid=&appid($id);
276: return "document.ggbApplet$appid.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
277: }
278:
279: #
280: # Set a point coordinate variable
281: #
282: sub set_point_coordinate {
283: my ($id,$variable,$x,$y,$fixed)=@_;
284: my $appid=&appid($id);
285: my $mult=($fixed?'a*':'');
286: # Get rid of wild exponents, make sure it's a number
287: $x=1.*$x;
288: $y=1.*$y;
289: # GeoGebra does not understand "E"
290: $x=~s/[e|E]/\*10\^/;
291: $x=~s/\+//;
292: $y=~s/[e|E]/\*10\^/;
293: $y=~s/\+//;
294: return (<<ENDSETVARIABLE);
295: document.ggbApplet$appid.evalCommand("a=1");
296: document.ggbApplet$appid.evalCommand("$variable=$mult($x,$y)");
297: document.ggbApplet$appid.setLabelVisible("$variable",false);
298: ENDSETVARIABLE
299: }
300:
301: #
302: # Set a slope coordinate variable
303: #
304: sub set_slope_coordinate {
305: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
306: my $appid=&appid($id);
307: my $xvariable=$variable.'x';
308: my $yvariable=$variable.'y';
309: my $domain=$xmax-$xmin;
310: my $range=$ymax-$ymin;
311: my $xinterval=$domain/100.;
312: my $yinterval=$range/200.;
313: my $mult=($fixed?'a*':'');
314: return (<<ENDSETSVARIABLE);
315: document.ggbApplet$appid.evalCommand("a=1");
316: document.ggbApplet$appid.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
317: document.ggbApplet$appid.setVisible("$xvariable", false);
318: document.ggbApplet$appid.evalCommand("$xvariable=$xrel");
319: document.ggbApplet$appid.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
320: document.ggbApplet$appid.setVisible("$yvariable", false);
321: document.ggbApplet$appid.evalCommand("$yvariable=$yrel");
322: document.ggbApplet$appid.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
323: document.ggbApplet$appid.setLabelVisible("$variable", false);
324: ENDSETSVARIABLE
325: }
326:
327: #
328: # Input field name for a coordinate variable
329: #
330:
331: sub field_name {
332: my ($id,$variable,$name)=@_;
333: return "HWVAL_$id\_$variable\_$name";
334: }
335:
336: #
337: # Generate an input field for a coordinate variable
338: #
339:
340: sub generate_input_field {
341: my ($id,$variable,$x,$y)=@_;
342: $Apache::functionplotresponse::inputfields.=
343: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
344: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
345: }
346:
347: #
348: # Initialize a new point coordinate variable at set a listener on it
349: #
350: sub new_point_coordinate {
351: my ($id,$variable,$x,$y,$fixed)=@_;
352: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
353: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
354: }
355: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
356: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
357: }
358: &generate_input_field($id,$variable,$x,$y);
359: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
360: }
361:
362: #
363: # Initialize a new slope coordinate variable at set a listener on it
364: #
365: sub new_slope_coordinate {
366: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
367: #
368: # $variable: name of the slope point
369: # $x, $y: coordinates of the slope point
370: # $pointname: name of the associated point point
371: # $xp $yp: coordinates of the point point
372: #
373: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
374: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
375: }
376: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
377: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
378: }
379: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
380: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
381: }
382: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
383: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
384: }
385:
386: &generate_input_field($id,$variable,$x,$y);
387: my $xrel=$x-$xp;
388: my $yrel=$y-$yp;
389: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
390: }
391:
392: #
393: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
394: # It then starts the right headers
395: #
396: sub start_init_script {
397: my ($id)=@_;
398: # Add id to the list of ggbInit_$id functions that need to be called
399: push(@Apache::functionplotresponse::callscripts,$id);
400: # ... and open this function
401: return (<<ENDSTARTINIT);
402: <script type="text/javascript">
403: // <![CDATA[
404: // variable that will eventually be passed back to the server
405: var coordinateMap_$id = [];
406: // flag for not loaded yet
407: var loaded_$id=false;
408: // Init-function for applet
409: function ggbInit_$id() {
410: ENDSTARTINIT
411: }
412:
413: #
414: # This sets the axes inside ggbInit_$id
415: #
416:
417: sub axes_script {
418: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
419: my $appid=&appid($id);
420: return (<<ENDAXESSCRIPT);
421: // changes (xmin, xmax, ymin, ymax)
422: document.ggbApplet$appid.setCoordSystem($xmin,$xmax,$ymin,$ymax);
423:
424: // makes the (x,y) axis (in)visible
425: document.ggbApplet$appid.setAxesVisible($xvisible,$yvisible);
426: // makes the grid (in)visible
427: document.ggbApplet$appid.setGridVisible($gvisible);
428: ENDAXESSCRIPT
429: }
430:
431: sub axes_label {
432: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
433: my $appid=&appid($id);
434: unless ($xlabel || $ylabel) { return ''; }
435: my $return='document.ggbApplet'.$appid.'.evalCommand("topRight=Corner[3]");';
436: if ($xlabel) {
437: if (($ymin<0) && ($ymax>0)) {
438: $return.=(<<ENDXAXISLABELSCRIPT);
439: document.ggbApplet$appid.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
440: document.ggbApplet$appid.setVisible("Xlabel",false);
441: document.ggbApplet$appid.evalCommand("Text[\\"$xlabel\\", Xlabel]");
442: ENDXAXISLABELSCRIPT
443: } else {
444: $return.=(<<ENDXOFFAXISLABEL);
445: document.ggbApplet$appid.evalCommand("LowerRight=Corner[2]");
446: document.ggbApplet$appid.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
447: ENDXOFFAXISLABEL
448: }
449: }
450: if ($ylabel) {
451: if (($xmin<0) && ($xmax>0)) {
452: $return.=(<<ENDYAXISLABELSCRIPT);
453: document.ggbApplet$appid.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
454: document.ggbApplet$appid.setVisible("Ylabel",false);
455: document.ggbApplet$appid.evalCommand("Text[\\"$ylabel\\", Ylabel]");
456: ENDYAXISLABELSCRIPT
457: } else {
458: $return.=(<<ENDYOFFAXISLABEL);
459: document.ggbApplet$appid.evalCommand("UpperLeft=Corner[4]");
460: document.ggbApplet$appid.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
461: ENDYOFFAXISLABEL
462: }
463: }
464: return $return;
465: }
466:
467: #
468: # Subroutine to produce background and answer plots
469: #
470:
471: sub plot_script {
472: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
473: my $appid=&appid($id);
474: $label=~s/\W//g;
475: if (($label) && ($label!~/^[A-Za-z]/)) {
476: $label='C'.$label;
477: }
478: my $visible=0;
479: if ($label) {
480: $visible="1";
481: } else {
482: $Apache::functionplotresponse::counter++;
483: $label='C'.$Apache::functionplotresponse::counter;
484: }
485: my $rc=0;
486: my $gc=0;
487: my $bc=0;
488: if ($color) {
489: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
490: $rc=hex($rh);
491: $gc=hex($gh);
492: $bc=hex($bh);
493: }
494: if ($fixed) {
495: return "document.ggbApplet$appid.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
496: ($visible?'':"document.ggbApplet$appid.setLabelVisible('$label', false);\n").
497: ($color?"document.ggbApplet$appid.setColor('$label',$rc,$gc,$bc);\n":'').
498: ($thickness?"document.ggbApplet$appid.setLineThickness('$label',$thickness);\n":'');
499: } else {
500: return "document.ggbApplet$appid.evalCommand('y=$function');\n";
501: }
502: }
503:
504: #
505: # Subroutine to produce objects
506: #
507:
508: sub plotobject_script {
509: my ($id,$label,$x,$y)=@_;
510: my $appid=&appid($id);
511: unless ($label) {
512: $Apache::functionplotresponse::counter++;
513: $label='O'.$Apache::functionplotresponse::counter;
514: }
515: &generate_input_field($id,$label,$x,$y);
516: return "document.ggbApplet$appid.evalCommand('a=1');\n".
517: "document.ggbApplet$appid.setVisible('a', false);\n".
518: "document.ggbApplet$appid.setLabelVisible('a', false);\n".
519: "document.ggbApplet$appid.evalCommand('$label=a*($x,$y)');\n".
520: "document.ggbApplet$appid.setVisible('$label', true);\n".
521: "document.ggbApplet$appid.setLabelVisible('$label', true);\n";
522: }
523:
524: #
525: # Subroutine to produce vectors
526: #
527:
528: sub plotvector_script {
529: my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax,$fixed)=@_;
530: my $appid=&appid($id);
531: unless ($label) {
532: $Apache::functionplotresponse::counter++;
533: $label='V'.$Apache::functionplotresponse::counter;
534: }
535: my $startlabel=$label.'Start';
536: my $endlabel=$label.'End';
537: my $pointlabel=$label.'Point';
538: my $pointx=2.*($xmax-$xmin)+$xmax;
539: my $anglelabel=$label.'Angle';
540: return
541: &new_point_coordinate($id,$startlabel,$xs,$ys,$fixed).
542: &new_point_coordinate($id,$endlabel,$xe,$ye,$fixed).
543: (<<ENDVECTOR);
544: document.ggbApplet$appid.evalCommand("$label=Vector[$startlabel,$endlabel]");
545: document.ggbApplet$appid.setLabelVisible("$label",true);
546: document.ggbApplet$appid.setLineThickness("$label",8);
547: document.ggbApplet$appid.evalCommand("$pointlabel=($pointx,y($startlabel))");
548: document.ggbApplet$appid.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
549: document.ggbApplet$appid.setLabelVisible("$anglelabel",true);
550: document.ggbApplet$appid.setLabelStyle("$anglelabel",VALUE=2);
551: ENDVECTOR
552: }
553:
554: #
555: # Answer spline display
556: #
557: # points: x,y,slope_x,slope_y
558:
559: sub answer_spline_script {
560: my ($id,@points)=@_;
561: my $appid=&appid($id);
562: my $order=int(($#points+1)/4);
563: if ($order<2) { $order=2; }
564: if ($order>8) { $order=8; }
565: $Apache::functionplotresponse::counter++;
566: my $label='CSpline'.$Apache::functionplotresponse::counter;
567: my $output='document.ggbApplet'.$appid.'.evalCommand("'.$label.'=Spline'.$order.'[';
568: for (my $i=0;$i<=$#points;$i+=4) {
569: $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
570: }
571: $output=~s/\,$//;
572: $output.=']");'."\n";
573: for (my $i=2; $i<2*$order; $i+=2) {
574: $output.='document.ggbApplet'.$appid.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
575: }
576: for (my $i=1; $i<2*$order; $i+=2) {
577: $output.='document.ggbApplet'.$appid.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
578: }
579:
580: return $output;
581: }
582:
583: #
584: # Subroutine that generates code for spline $label based on stored information
585: #
586:
587: sub generate_spline {
588: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
589: my $appid=&appid($id);
590: my $result='';
591: my $order=$Apache::functionplotresponse::splineorder{$label};
592: my $x=$Apache::functionplotresponse::splineinitx{$label};
593: my $y=$Apache::functionplotresponse::splineinity{$label};
594: my $sx=$Apache::functionplotresponse::splinescalex{$label};
595: my $sy=$Apache::functionplotresponse::splinescaley{$label};
596: my @coords=();
597: foreach my $i (1..$order) {
598: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
599: my $xp=$x;
600: $x+=$sx/(2.*($order-1));
601: push(@coords,$label.'P'.$i);
602: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
603: $x+=$sx/(2.*($order-1));
604: push(@coords,$label.'S'.$i);
605: }
606: $result.='document.ggbApplet'.$appid.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
607: return $result;
608: }
609:
610: #
611: # Object
612: #
613:
614: sub start_plotobject {
615: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
616: my $result='';
617: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
618: my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
619: my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
620: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
621: $label=~s/\W//gs;
622: $label=ucfirst($label);
623: unless ($label) { $label="NewObject"; }
624: if ($target eq 'web') {
625: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
626: unless (defined($x)) { $x=$xmin; }
627: unless (defined($y)) { $y=$ymin; }
628: $result.=&plotobject_script($internalid,$label,$x,$y);
629: } elsif ($target eq 'edit') {
630: $result=&Apache::edit::tag_start($target,$token,'Plot Object').
631: &Apache::edit::text_arg('Label on Plot:','label',
632: $token,'16').
633: &Apache::edit::text_arg('x:','x',
634: $token,'8').
635: &Apache::edit::text_arg('y:','y',
636: $token,'8').
637: &Apache::edit::end_row();
638: } elsif ($target eq 'modified') {
639: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
640: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
641: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
642: }
643: return $result;
644: }
645:
646: sub end_plotobject {
647: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
648: my $result='';
649: if ($target eq 'edit') {
650: $result=&Apache::edit::end_table();
651: }
652: return $result;
653: }
654:
655: #
656: # Vector
657: #
658:
659: sub start_plotvector {
660: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
661: my $result='';
662: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
663: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
664: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
665: my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
666: my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
667:
668: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
669: $label=~s/\W//gs;
670: $label=ucfirst($label);
671: unless ($label) { $label="NewVector"; }
672: if ($Apache::functionplotresponse::vectorlabels{$label}) {
673: &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label));
674: }
675: $Apache::functionplotresponse::vectorlabels{$label}=1;
676: if ($target eq 'web') {
677: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
678: unless (defined($tailx)) { $tailx=$xmin; }
679: unless (defined($taily)) { $taily=$ymin; }
680: unless (defined($tipx)) { $tipx=$xmin; }
681: unless (defined($tipy)) { $tipy=$ymin; }
682: my $fixed=0;
683: if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; }
684: $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed);
685: } elsif ($target eq 'edit') {
686: $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
687: &Apache::edit::text_arg('Label on Plot:','label',
688: $token,'16').
689: &Apache::edit::text_arg('Tail x:','tailx',
690: $token,'8').
691: &Apache::edit::text_arg('Tail y:','taily',
692: $token,'8').
693: &Apache::edit::text_arg('Tip x:','tipx',
694: $token,'8').
695: &Apache::edit::text_arg('Tip y:','tipy',
696: $token,'8').
697:
698: &Apache::edit::end_row();
699: } elsif ($target eq 'modified') {
700: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
701: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
702: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
703: }
704: return $result;
705: }
706:
707: sub end_plotvector {
708: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
709: my $result='';
710: if ($target eq 'edit') {
711: $result=&Apache::edit::end_table();
712: }
713: return $result;
714: }
715:
716:
717: #
718: # Vector sum - have GeoGebra draw a sum of specified vectors to help students draw
719: #
720:
721: sub start_drawvectorsum {
722: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
723: my $result='';
724: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
725: my $internalappid=&appid($internalid);
726: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
727: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
728: my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval);
729: my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval);
730: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
731: $label=~s/\W//gs;
732: $label=ucfirst($label);
733: unless ($label) { $label="NewVector"; }
734: if ($target eq 'web') {
735: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
736: unless (defined($tailx)) { $tailx=$xmin; }
737: unless (defined($taily)) { $taily=$ymin; }
738: unless (defined($vectorlist)) { $vectorlist=''; }
739: my @vectors=split(/\,/,$vectorlist);
740: if ($#vectors>0) {
741: my @sumx=();
742: my @sumy=();
743: foreach my $thisvector (@vectors) {
744: $thisvector=~s/\W//gs;
745: $thisvector=ucfirst($thisvector);
746: unless ($thisvector) { next; }
747: unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) {
748: &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector));
749: next;
750: }
751: my $vectorx=$thisvector.'X';
752: my $vectory=$thisvector.'Y';
753: $result.=(<<ENDADDVEC);
754: document.ggbApplet$internalappid.evalCommand("$vectorx=x($thisvector)");
755: document.ggbApplet$internalappid.evalCommand("$vectory=y($thisvector)");
756: document.ggbApplet$internalappid.evalCommand("Include$thisvector$label=Checkbox[]");
757: ENDADDVEC
758: push(@sumx,"If[Include$thisvector$label,$vectorx,0]");
759: push(@sumy,"If[Include$thisvector$label,$vectory,0]");
760: }
761: $result.="document.ggbApplet$internalappid.evalCommand(".'"'."xTot$label=".join('+',@sumx).'");'."\n";
762: $result.="document.ggbApplet$internalappid.evalCommand(".'"'."yTot$label=".join('+',@sumy).'");'."\n";
763: my $show=0;
764: if ($showvalue=~/yes/i) {
765: $show=1;
766: }
767: $result.=(<<ENDMAKEVECTOR);
768: document.ggbApplet$internalappid.evalCommand("$label=Vector[($tailx,$taily),($tailx+xTot$label,$taily+yTot$label)]");
769: document.ggbApplet$internalappid.setLabelVisible("$label",true);
770: document.ggbApplet$internalappid.setLineThickness("$label",8);
771: document.ggbApplet$internalappid.setColor("$label",255,0,0);
772: document.ggbApplet$internalappid.setLabelStyle("$label",VALUE=$show);
773: ENDMAKEVECTOR
774: }
775: } elsif ($target eq 'edit') {
776: $result=&Apache::edit::tag_start($target,$token,'Draw Vector Sum').
777: &Apache::edit::text_arg('Label on Plot:','label',
778: $token,'16').
779: &Apache::edit::text_arg('Tail x:','tailx',
780: $token,'8').
781: &Apache::edit::text_arg('Tail y:','taily',
782: $token,'8').
783: &Apache::edit::select_arg('Show Value:','showvalue',
784: ['yes','no'],$token).'<br />'.
785: &Apache::edit::text_arg('Vector List:','vectorlist',
786: $token,'40').
787: &Apache::edit::end_row();
788: } elsif ($target eq 'modified') {
789: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
790: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist');
791: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
792: }
793: return $result;
794: }
795:
796:
797: sub end_drawvectorsum {
798: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
799: my $result='';
800: if ($target eq 'edit') {
801: $result=&Apache::edit::end_table();
802: }
803: return $result;
804: }
805:
806:
807:
808: #
809: # <backgroundplot function="..." fixed="yes/no" />
810: #
811: sub start_backgroundplot {
812: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
813: my $result='';
814: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
815: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
816: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
817: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
818: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
819: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
820: $color=~s/[^a-fA-F0-9]//gs;
821: unless (length($color)==6) { $color=''; }
822: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
823:
824: unless ($function) { $function="0"; }
825: if ($target eq 'web') {
826: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
827: unless (defined($xinitial)) { $xinitial=$xmin; }
828: unless (defined($xfinal)) { $xfinal=$xmax; }
829: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
830: } elsif ($target eq 'edit') {
831: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
832: &Apache::edit::text_arg('Function:','function',
833: $token,'16').
834: &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
835: $token,'8').
836: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
837: $token,'8').
838: &Apache::edit::text_arg('Label on Plot:','label',
839: $token,'8').
840: &Apache::edit::text_arg('Color (hex code):','color',
841: $token,'8', 'colorchooser').
842: &Apache::edit::select_arg('Fixed location:','fixed',
843: ['yes','no'],$token).
844: &Apache::edit::end_row();
845: } elsif ($target eq 'modified') {
846: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
847: $safeeval,'function','label','xinitial','xfinal','color','fixed');
848: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
849: }
850: return $result;
851: }
852:
853: sub end_backgroundplot {
854: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
855: my $result='';
856: if ($target eq 'edit') {
857: $result=&Apache::edit::end_table();
858: }
859: return $result;
860: }
861:
862: #
863: # <functionplotrule ... />
864: #
865: sub start_functionplotrule {
866: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
867: my $result='';
868: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
869: $Apache::functionplotresponse::counter++;
870: if ($label=~/\W/) {
871: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
872: }
873: $label=~s/\W//gs;
874: unless ($label) {
875: $label='R'.$Apache::functionplotresponse::counter;
876: } else {
877: $label='R'.$label;
878: }
879:
880: if ($target eq 'grade') {
881: # Simply remember - in order - for later
882: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
883: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
884: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
885: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
886: }
887: $beginninglabel=~s/\W//gs;
888: $endinglabel=~s/\W//gs;
889: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
890: $relationship=~s/\W//gs;
891: $relationship=lc($relationship);
892: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
893: &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
894: $relationship='eq';
895: }
896: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
897: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
898: &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
899: $derivative=0;
900: }
901: push(@Apache::functionplotresponse::functionplotrules,join(':',(
902: $label,
903: $derivative,
904: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
905: $beginninglabel,
906: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
907: $endinglabel,
908: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
909: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
910: $relationship,
911: &Apache::lonxml::get_param('value',$parstack,$safeeval),
912: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
913: )));
914: } elsif ($target eq 'edit') {
915: $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule').
916: &Apache::edit::text_arg('Index/Name:','index',
917: $token,'10').' '.
918: &Apache::edit::select_arg('Function:','derivativeorder',
919: [['0','Function itself'],
920: ['1','First derivative'],
921: ['2','Second derivative'],
922: ['-1','Integral']],$token).'<br />'.
923: &Apache::edit::text_arg('Initial x-value:','xinitial',
924: $token,'8').
925: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
926: [['start','Start of Plot'],
927: ['end','End of Plot']],$token,'8').'<br />'.
928:
929: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
930: $token,'8').
931: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
932: [['end','End of Plot']],$token,'8').'<br />'.
933: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
934: $token,'8').
935: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
936: $token,'8').'<br />'.
937: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
938: [['eq','equal'],
939: ['ne','not equal'],
940: ['ge','greater than or equal'],
941: ['gt','greater than'],
942: ['lt','less than'],
943: ['le','less than or equal']],$token).
944: $result.= &Apache::edit::select_or_text_arg('Value:','value',
945: [['undef','not defined']],$token,'30').
946: &Apache::edit::text_arg('Percent error:','percenterror',
947: $token,'8').
948: &Apache::edit::end_row();
949: } elsif ($target eq 'modified') {
950: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
951: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
952: }
953: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
954: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
955: }
956: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
957: $safeeval,'index','derivativeorder',
958: 'xinitial','xinitiallabel','xfinal','xfinallabel',
959: 'minimumlength','maximumlength',
960: 'relationship','value','percenterror');
961: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
962: }
963: return $result;
964: }
965:
966: sub end_functionplotrule {
967: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
968: my $result='';
969: if ($target eq 'edit') {
970: $result=&Apache::edit::end_table();
971: }
972: return $result;
973: }
974:
975:
976: #
977: # <functionplotvectorrule ... />
978: #
979: sub start_functionplotvectorrule {
980: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
981: my $result='';
982: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
983: $Apache::functionplotresponse::counter++;
984: if ($label=~/\W/) {
985: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
986: }
987: $label=~s/\W//gs;
988: unless ($label) {
989: $label='R'.$Apache::functionplotresponse::counter;
990: } else {
991: $label='R'.$label;
992: }
993:
994: if ($target eq 'grade') {
995: # Simply remember - in order - for later
996:
997: my $id=$Apache::inputtags::response[-1];
998: my $partid=$Apache::inputtags::part;
999: my $internalid = $partid.'_'.$id;
1000:
1001: my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval);
1002: $vector=~s/\W//gs;
1003: $vector=ucfirst($vector);
1004:
1005: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
1006: $label,
1007: 'vector',
1008: $internalid,
1009: $vector,
1010: &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval),
1011: &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval),
1012: &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval),
1013: &Apache::lonxml::get_param('tippoint',$parstack,$safeeval),
1014: &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval),
1015: &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval),
1016: &Apache::lonxml::get_param('length',$parstack,$safeeval),
1017: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
1018: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
1019: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
1020: )));
1021: } elsif ($target eq 'edit') {
1022: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule').
1023: &Apache::edit::text_arg('Index/Name:','index',
1024: $token,'10').' '.
1025: &Apache::edit::text_arg('Vector:','vector',
1026: $token,'16').'<br />'.
1027: &Apache::edit::text_arg('Attached to object:','attachpoint',
1028: $token,'16').
1029: &Apache::edit::text_arg('Not attached to object:','notattachpoint',
1030: $token,'16').'<br />'.
1031: &Apache::edit::text_arg('Tail attached to object:','tailpoint',
1032: $token,'16').
1033: &Apache::edit::text_arg('Tip attached to object:','tippoint',
1034: $token,'16').
1035: &Apache::edit::text_arg('Tail not attached to object:','nottailpoint',
1036: $token,'16').
1037: &Apache::edit::text_arg('Tip not attached to object:','nottippoint',
1038: $token,'16').'<br />'.
1039: &Apache::edit::text_arg('Length:','length',
1040: $token,'30').
1041: &Apache::edit::text_arg('Absolute error length:','lengtherror',
1042: $token,'8').'<br />'.
1043: &Apache::edit::text_arg('Angle:','angle',
1044: $token,'30').
1045: &Apache::edit::text_arg('Absolute error angle:','angleerror',
1046: $token,'8').
1047: &Apache::edit::end_row();
1048: } elsif ($target eq 'modified') {
1049: $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')});
1050: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1051: $safeeval,'index','vector','attachpoint','notattachpoint',
1052: 'tailpoint','tippoint','nottailpoint','nottipoint',
1053: 'length','angle',
1054: 'lengtherror','angleerror');
1055: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1056: }
1057: return $result;
1058: }
1059:
1060: sub end_functionplotvectorrule {
1061: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1062: my $result='';
1063: if ($target eq 'edit') {
1064: $result=&Apache::edit::end_table();
1065: }
1066: return $result;
1067: }
1068:
1069: #
1070: # <functionplotvectorsumrule ... />
1071: #
1072: sub start_functionplotvectorsumrule {
1073: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1074: my $result='';
1075: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1076: $Apache::functionplotresponse::counter++;
1077: if ($label=~/\W/) {
1078: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1079: }
1080: $label=~s/\W//gs;
1081: unless ($label) {
1082: $label='R'.$Apache::functionplotresponse::counter;
1083: } else {
1084: $label='R'.$label;
1085: }
1086: if ($target eq 'grade') {
1087: # Simply remember - in order - for later
1088: my $id=$Apache::inputtags::response[-1];
1089: my $partid=$Apache::inputtags::part;
1090: my $internalid = $partid.'_'.$id;
1091: my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval);
1092: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
1093: $label,
1094: 'sum',
1095: $internalid,
1096: $vectors,
1097: &Apache::lonxml::get_param('length',$parstack,$safeeval),
1098: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
1099: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
1100: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
1101: )));
1102: } elsif ($target eq 'edit') {
1103: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule').
1104: &Apache::edit::text_arg('Index/Name:','index',
1105: $token,'10').' '.
1106: &Apache::edit::text_arg('Comma-separated list of vectors:','vectors',
1107: $token,'30').'<br />'.
1108: &Apache::edit::text_arg('Sum vector length:','length',
1109: $token,'30').
1110: &Apache::edit::text_arg('Absolute error length:','lengtherror',
1111: $token,'8').'<br />'.
1112: &Apache::edit::text_arg('Sum vector angle:','angle',
1113: $token,'30').
1114: &Apache::edit::text_arg('Absolute error angle:','angleerror',
1115: $token,'8').
1116: &Apache::edit::end_row();
1117: } elsif ($target eq 'modified') {
1118: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1119: $safeeval,'index','vectors',
1120: 'length','angle',
1121: 'lengtherror','angleerror');
1122: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1123: }
1124: return $result;
1125: }
1126:
1127: sub end_functionplotvectorsumrule {
1128: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1129: my $result='';
1130: if ($target eq 'edit') {
1131: $result=&Apache::edit::end_table();
1132: }
1133: return $result;
1134: }
1135:
1136: #
1137: # <functionplotcustom ... />
1138: #
1139: sub start_functionplotcustomrule {
1140: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1141: my $result='';
1142: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1143: $Apache::functionplotresponse::counter++;
1144: if ($label=~/\W/) {
1145: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1146: }
1147: $label=~s/\W//gs;
1148: unless ($label) {
1149: $label='R'.$Apache::functionplotresponse::counter;
1150: } else {
1151: $label='R'.$label;
1152: }
1153: &Apache::lonxml::register('Apache::response',('answer'));
1154: if ($target eq 'edit') {
1155: $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule').
1156: &Apache::edit::text_arg('Index/Name:','index',$token,'10').
1157: &Apache::edit::end_row();
1158: } elsif ($target eq 'modified') {
1159: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index');
1160: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1161: }
1162: return $result;
1163: }
1164:
1165: sub end_functionplotcustomrule {
1166: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1167: my $result='';
1168: if ($target eq 'edit') {
1169: $result=&Apache::edit::end_table();
1170: } elsif ($target eq 'grade') {
1171: # Simply remember - in order - for later
1172: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1173: $Apache::functionplotresponse::counter++;
1174: if ($label=~/\W/) {
1175: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1176: }
1177: $label=~s/\W//gs;
1178: unless ($label) {
1179: $label='R'.$Apache::functionplotresponse::counter;
1180: } else {
1181: $label='R'.$label;
1182: }
1183: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
1184: $label,
1185: 'custom',
1186: &escape($Apache::response::custom_answer[-1])
1187: )));
1188: }
1189: &Apache::lonxml::deregister('Apache::response',('answer'));
1190: return $result;
1191: }
1192:
1193:
1194:
1195: #
1196: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
1197: #
1198: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
1199: #
1200: sub start_spline {
1201: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1202: my $result='';
1203: if ($target eq 'web') {
1204: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1205: $Apache::functionplotresponse::counter++;
1206: if ($label=~/\W/) {
1207: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
1208: }
1209: $label=~s/\W//gs;
1210: unless ($label) {
1211: $label='S'.$Apache::functionplotresponse::counter;
1212: } else {
1213: $label='S'.$label;
1214: }
1215: if ($Apache::functionplotresponse::splineorder{$label}) {
1216: &Apache::lonxml::error(&mt('Spline indices must be unique.'));
1217: }
1218:
1219: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
1220: if ($order<2) { $order=2; }
1221: if ($order>8) { $order=8; }
1222: $Apache::functionplotresponse::splineorder{$label}=$order;
1223:
1224: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
1225: unless ($x) { $x=0; }
1226: $Apache::functionplotresponse::splineinitx{$label}=$x;
1227:
1228: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
1229: unless ($y) { $y=0; }
1230: $Apache::functionplotresponse::splineinity{$label}=$y;
1231:
1232: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
1233: unless ($sx) { $sx=$order; }
1234: $Apache::functionplotresponse::splinescalex{$label}=$sx;
1235:
1236: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
1237: unless ($sy) { $sy=2; }
1238: $Apache::functionplotresponse::splinescaley{$label}=$sy;
1239: } elsif ($target eq 'edit') {
1240: $result=&Apache::edit::tag_start($target,$token,'Spline').
1241: &Apache::edit::text_arg('Index:','index',
1242: $token,'4').' '.
1243: &Apache::edit::select_arg('Order:','order',
1244: ['2','3','4','5','6','7','8'],$token).' '.
1245: &Apache::edit::text_arg('Initial x-value:','initx',
1246: $token,'4').' '.
1247: &Apache::edit::text_arg('Initial y-value:','inity',
1248: $token,'4').' '.
1249: &Apache::edit::text_arg('Scale x:','scalex',
1250: $token,'4').' '.
1251: &Apache::edit::text_arg('Scale y:','scaley',
1252: $token,'4').
1253: &Apache::edit::end_row();
1254: } elsif ($target eq 'modified') {
1255: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1256: $safeeval,'index','order','initx','inity',
1257: 'scalex','scaley');
1258: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1259: }
1260: return $result;
1261: }
1262:
1263: sub end_spline {
1264: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1265: my $result='';
1266: if ($target eq 'edit') {
1267: $result=&Apache::edit::end_table();
1268: }
1269: return $result;
1270: }
1271:
1272: sub end_init_script {
1273: return (<<ENDENDINIT);
1274: }
1275: // ]]>
1276: </script>
1277: ENDENDINIT
1278: }
1279:
1280: #
1281: # Storing and restoring spline coordinates from part answers
1282: #
1283: sub decode_previous_answer {
1284: my ($answer)=@_;
1285: foreach my $coordinate (split(/\,/,$answer)) {
1286: my ($key,$value)=split(/\=/,$coordinate);
1287: $Apache::functionplotresponse::previous{$key}=$value;
1288: }
1289: }
1290:
1291: sub get_answer_from_form_fields {
1292: my ($id)=@_;
1293: my $answer='';
1294: my %coords=();
1295: foreach my $field (keys(%env)) {
1296: if ($field=~/^form\.HWVAL\_$id/) {
1297: $field=~/^form\.(.*)$/;
1298: $coords{$1}=$env{$field};
1299: }
1300: }
1301: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
1302: return ($answer,%coords);
1303: }
1304:
1305: #
1306: # The following functions calculate the cubic-hermite splines server-side
1307: #
1308:
1309: sub cubic_hermite {
1310: my ($t,$p1,$s1,$p2,$s2)=@_;
1311: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
1312: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2);
1313: }
1314:
1315: #
1316: # d/dt(...)
1317: #
1318:
1319: sub ddt_cubic_hermite {
1320: my ($t,$p1,$s1,$p2,$s2)=@_;
1321: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
1322: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2);
1323: }
1324:
1325: #
1326: # d^2/dt^2(...)
1327: #
1328:
1329: sub d2dt2_cubic_hermite {
1330: my ($t,$p1,$s1,$p2,$s2)=@_;
1331: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
1332: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
1333: }
1334:
1335: #
1336: # Array index calculation
1337: #
1338: sub array_index {
1339: my ($xmin,$xmax,$x)=@_;
1340: if ($x ne '') {
1341: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
1342: } else {
1343: return undef;
1344: }
1345: }
1346:
1347: #
1348: # Populate the arrays
1349: #
1350:
1351: sub populate_arrays {
1352: my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
1353: for (my $i=0; $i<=400; $i++) {
1354: $Apache::functionplotresponse::actualxval[$i]=undef;
1355: $Apache::functionplotresponse::func[$i]=undef;
1356: $Apache::functionplotresponse::dfuncdx[$i]=undef;
1357: $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1358: }
1359: unless ($xmax>$xmin) { return 'no_func'; }
1360: # Run over all splines in response
1361: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1362: my $xiold=-1;
1363: # Run over all points in spline
1364: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1365: my $ni=$i+1;
1366: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
1367: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
1368: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
1369: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
1370: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
1371: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
1372: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
1373: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
1374: # Run in small steps over spline parameter
1375: for (my $t=0; $t<=1; $t+=0.0001) {
1376: my $xreal=&cubic_hermite($t,@xparms);
1377: my $xi=&array_index($xmin,$xmax,$xreal);
1378: if ($xi<$xiold) { return 'no_func'; }
1379: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
1380: $xiold=$xi;
1381: $Apache::functionplotresponse::actualxval[$xi]=$xreal;
1382: # Function value
1383: my $funcval=&cubic_hermite($t,@yparms);
1384:
1385: # Do we already have a value for this point, and is it different from the new one?
1386: if ((defined($Apache::functionplotresponse::func[$xi])) &&
1387: (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) {
1388: return 'no_func';
1389: }
1390: # Okay, remember the new point
1391: $Apache::functionplotresponse::func[$xi]=$funcval;
1392:
1393: if (defined($funcval)) {
1394: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
1395: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
1396: }
1397: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
1398: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
1399: }
1400: }
1401: # Chain rule
1402: # dy/dx=dy/dt/(dx/dt)
1403: my $dxdt=&ddt_cubic_hermite($t,@xparms);
1404: if ($dxdt) {
1405: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
1406: # Second derivative
1407: $Apache::functionplotresponse::d2funcdx2[$xi]=
1408: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
1409: ($dxdt*$dxdt*$dxdt);
1410: }
1411: }
1412: }
1413: }
1414: }
1415: }
1416:
1417: #
1418: # Implementation of <functionplotresponse>
1419: #
1420:
1421: sub start_functionplotresponse {
1422: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1423: my $result='';
1424: # To remember the splines - somehow, they need to come last
1425: undef %Apache::functionplotresponse::splineorder;
1426: undef %Apache::functionplotresponse::splineinitx;
1427: undef %Apache::functionplotresponse::splineinity;
1428: undef %Apache::functionplotresponse::splinescalex;
1429: undef %Apache::functionplotresponse::splinescaley;
1430: # Remember input fields, etc
1431: undef %Apache::functionplotresponse::previous;
1432: $Apache::functionplotresponse::inputfields='';
1433: $Apache::functionplotresponse::counter=0;
1434: # Remember vectors
1435: undef %Apache::functionplotresponse::vectorlabels;
1436: # Remember rules
1437: undef @Apache::functionplotresponse::functionplotrules;
1438: undef @Apache::functionplotresponse::functionplotvectorrules;
1439: # Remember failed rules
1440: if ($target eq 'grade') {
1441: undef @Apache::functionplotresponse::failedrules;
1442: }
1443: # Delete previous awards
1444: undef $Apache::functionplotresponse::awarddetail;
1445: # Part and ID
1446: my $partid=$Apache::inputtags::part;
1447: my $id=&Apache::response::start_response($parstack,$safeeval);
1448: # Internal ID to mark the applet and its coordinates
1449: my $internalid = $partid.'_'.$id;
1450: # Previous answer
1451: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
1452:
1453: # Parameters of <functionplotresponse>
1454: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
1455: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1456: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1457: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1458: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
1459: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1460: if ($target eq 'edit') {
1461: $result.=&Apache::edit::start_table($token)
1462: .'<tr><td><span class="LC_nobreak">'.&Apache::loncommon::insert_folding_button().&mt('Function Plot Question').'</span></td>'
1463: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1464: .&Apache::edit::deletelist($target,$token).' '
1465: .&Apache::edit::insertlist($target,$token).' '
1466: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
1467: .'</span></td>'
1468: ."<td> "
1469: .&Apache::edit::end_row()
1470: .&Apache::edit::start_spanning_row()
1471: ."\n";
1472: $result.=&Apache::edit::text_arg('Width (pixels):','width',
1473: $token,'6').' '.
1474: &Apache::edit::text_arg('Height (pixels):','height',
1475: $token,'6').'<br />'.
1476: &Apache::edit::text_arg('Label x-axis:','xlabel',
1477: $token,'6').' '.
1478: &Apache::edit::text_arg('Minimum x-value:','xmin',
1479: $token,'4').' '.
1480: &Apache::edit::text_arg('Maximum x-value:','xmax',
1481: $token,'4').' '.
1482: &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1483: ['yes','no'],$token).'<br />'.
1484: &Apache::edit::text_arg('Label y-axis:','ylabel',
1485: $token,'6').' '.
1486: &Apache::edit::text_arg('Minimum y-value:','ymin',
1487: $token,'4').' '.
1488: &Apache::edit::text_arg('Maximum y-value:','ymax',
1489: $token,'4').' '.
1490: &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1491: ['yes','no'],$token).'<br />'.
1492: &Apache::edit::select_arg('Grid visible:','gridvisible',
1493: ['yes','no'],$token).'<br />'.
1494: &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
1495: 'answerdisplay',$token,'50').
1496: &Apache::edit::end_row().&Apache::edit::start_spanning_row();
1497: } elsif ($target eq 'modified') {
1498: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1499: $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax',
1500: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
1501: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1502:
1503: } elsif ($target eq 'meta') {
1504: $result=&Apache::response::meta_package_write('functionplotresponse');
1505: } elsif (($target eq 'answer') &&
1506: ($env{'form.answer_output_mode'} ne 'tex') &&
1507: ($Apache::lonhomework::viewgrades == 'F')) {
1508: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
1509: $uname =~s/\W//g;
1510: $udom =~s/\W//g;
1511: my $function_name =
1512: join('_','LONCAPA_scriptvars',$uname,$udom,
1513: $env{'form.counter'},$Apache::lonxml::curdepth);
1514: &Apache::lonxml::add_script_result(
1515: &Apache::loncommon::modal_adhoc_window($function_name,700,500,
1516: '<pre style="background-color:#ffffff;">'.$Apache::functionplotresponse::ruleslog.'</pre>',
1517: &mt('Rules Log'))."<br />");
1518: }
1519: return $result;
1520: }
1521:
1522: sub compare_rel {
1523: my ($relationship,$value,$realval,$tol)=@_;
1524: # is the real value undefined?
1525: unless (defined($realval)) {
1526: # the real value is not defined
1527: if ($relationship eq 'eq') {
1528: if ($value eq 'undef') {
1529: return 1;
1530: } else {
1531: return 0;
1532: }
1533: } elsif ($relationship eq 'ne') {
1534: if ($value eq 'undef') {
1535: return 0;
1536: } else {
1537: return 1;
1538: }
1539: } else {
1540: return 0;
1541: }
1542: }
1543:
1544: # is the expected value undefined?
1545: if ($value eq 'undef') {
1546: # but by now we know that the real value is defined
1547: return 0;
1548: }
1549:
1550: # both are defined.
1551: if ($relationship eq 'gt') {
1552: return ($realval>$value);
1553: } elsif ($relationship eq 'ge') {
1554: return ($realval>$value-$tol);
1555: } elsif ($relationship eq 'lt') {
1556: return ($realval<$value);
1557: } elsif ($relationship eq 'le') {
1558: return ($realval<$value+$tol);
1559: } elsif ($relationship eq 'ne') {
1560: return (abs($value-$realval)>$tol);
1561: } else {
1562: return (abs($value-$realval)<$tol);
1563: }
1564: return 0;
1565: }
1566:
1567: sub addlog {
1568: my ($text)=@_;
1569: $text=~s/\'/\\\'/g;
1570: $Apache::functionplotresponse::ruleslog.=$text.'<br />';
1571: }
1572:
1573: sub actualval {
1574: my ($i,$xmin,$xmax)=@_;
1575: return $xmin+$i/400.*($xmax-$xmin);
1576: }
1577:
1578: sub fpr_val {
1579: my ($arg)=@_;
1580: return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
1581: $Apache::functionplotresponse::fpr_xmin,
1582: $Apache::functionplotresponse::fpr_xmax);
1583: }
1584:
1585: sub fpr_f {
1586: my ($arg)=@_;
1587: return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
1588: $Apache::functionplotresponse::fpr_xmax,
1589: $arg)];
1590: }
1591:
1592: sub fpr_dfdx {
1593: my ($arg)=@_;
1594: return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
1595: $Apache::functionplotresponse::fpr_xmax,
1596: $arg)];
1597: }
1598:
1599: sub fpr_d2fdx2 {
1600: my ($arg)=@_;
1601: return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
1602: $Apache::functionplotresponse::fpr_xmax,
1603: $arg)];
1604: }
1605:
1606: sub fpr_vectorcoords {
1607: my ($arg)=@_;
1608: $arg=~s/\W//gs;
1609: $arg=ucfirst($arg);
1610: my $id=$Apache::inputtags::response[-1];
1611: my $partid=$Apache::inputtags::part;
1612: my $internalid = $partid.'_'.$id;
1613: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'},
1614: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'},
1615: $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'},
1616: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'});
1617: }
1618:
1619: sub fpr_objectcoords {
1620: my ($arg)=@_;
1621: $arg=~s/\W//gs;
1622: $arg=ucfirst($arg);
1623: my $id=$Apache::inputtags::response[-1];
1624: my $partid=$Apache::inputtags::part;
1625: my $internalid = $partid.'_'.$id;
1626: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'},
1627: $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'});
1628: }
1629:
1630: sub fpr_vectorlength {
1631: my ($arg)=@_;
1632: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
1633: return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys));
1634: }
1635:
1636: sub fpr_vectorangle {
1637: my ($arg)=@_;
1638: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
1639: my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs));
1640: if ($angle<0) { $angle=360+$angle; }
1641: return $angle;
1642: }
1643:
1644: sub vectorcoords {
1645: my ($id,$label)=@_;
1646: return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'},
1647: $env{'form.HWVAL_'.$id.'_'.$label.'End_x'},
1648: $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'},
1649: $env{'form.HWVAL_'.$id.'_'.$label.'End_y'});
1650: }
1651:
1652: sub objectcoords {
1653: my ($id,$label)=@_;
1654: return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'},
1655: $env{'form.HWVAL_'.$id.'_'.$label.'_y'});
1656: }
1657:
1658: sub attached {
1659: my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_;
1660: my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector);
1661: my $tolx=($xmax-$xmin)/100.;
1662: my $toly=($ymax-$ymin)/100.;
1663: my $tail=0;
1664: my $tip=0;
1665: foreach my $obj (split(/\s*\,\s*/,$objects)) {
1666: $obj=~s/\W//g;
1667: unless ($obj) { next; }
1668: $obj=ucfirst($obj);
1669: my ($xo,$yo)=&objectcoords($id,$obj);
1670: &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)");
1671: if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) {
1672: $tail=1;
1673: &addlog("Attached tail: $obj");
1674: }
1675: if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) {
1676: $tip=1;
1677: &addlog("Attached tip: $obj");
1678: }
1679: }
1680: &addlog("Result tail:$tail tip:$tip");
1681: return($tail,$tip);
1682: }
1683:
1684:
1685: sub vectorangle {
1686: my ($x,$y)=@_;
1687: my $angle=57.2957795*atan2($y,$x);
1688: if ($angle<0) { $angle=360+$angle; }
1689: return $angle;
1690: }
1691:
1692: sub vectorlength {
1693: my ($x,$y)=@_;
1694: return sqrt($x*$x+$y*$y);
1695: }
1696:
1697: sub relvector {
1698: my ($xs,$xe,$ys,$ye)=@_;
1699: return ($xe-$xs,$ye-$ys);
1700: }
1701:
1702: sub plotvectorlength {
1703: return &vectorlength(&relvector(&vectorcoords(@_)));
1704: }
1705:
1706: sub plotvectorangle {
1707: return &vectorangle(&relvector(&vectorcoords(@_)));
1708: }
1709:
1710:
1711: #
1712: # Evaluate a functionplotvectorrule
1713: #
1714:
1715: sub functionplotvectorrulecheck {
1716: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1717: &addlog("=================");
1718: my ($label,$type)=split(/\:/,$rule);
1719: if ($type eq 'vector') {
1720: return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
1721: } elsif ($type eq 'sum') {
1722: return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
1723: } elsif ($type eq 'custom') {
1724: return &customcheck($rule,$safeeval);
1725: }
1726: }
1727:
1728: sub vectorcheck {
1729: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1730: my ($label,$type,$id,$vector,
1731: $attachpoint,$notattachpoint,
1732: $tailpoint,$tippoint,$nottailpoint,$nottippoint,
1733: $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
1734: &addlog("Vector Rule $label for vector ".$vector);
1735: if ($length ne '') {
1736: &addlog("Checking for length $length with error $lengtherror");
1737: $length=&Apache::run::run($length,$safeeval);
1738: &addlog("Length evaluated to $length");
1739: my $thislength=&plotvectorlength($id,$vector);
1740: &addlog("Found length $thislength");
1741: if (abs($thislength-$length)>$lengtherror) {
1742: &setfailed($label);
1743: return 0;
1744: }
1745: }
1746: if ($angle ne '') {
1747: &addlog("Checking for angle $angle with error $angleerror");
1748: $angle=&Apache::run::run($angle,$safeeval);
1749: &addlog("Angle evaluated to $angle");
1750: my $thisangle=&plotvectorangle($id,$vector);
1751: &addlog("Found angle $thisangle");
1752: my $anglediff=abs($thisangle-$angle);
1753: &addlog("Angle difference: $anglediff");
1754: if ($anglediff>360.-$anglediff) {
1755: $anglediff=360.-$anglediff;
1756: }
1757: &addlog("Smallest angle difference: $anglediff");
1758: if ($anglediff>$angleerror) {
1759: &setfailed($label);
1760: return 0;
1761: }
1762: }
1763: if ($attachpoint ne '') {
1764: &addlog("Checking attached: ".$attachpoint);
1765: my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax);
1766: unless ($tail || $tip) {
1767: &setfailed($label);
1768: return 0;
1769: }
1770: }
1771: if ($notattachpoint ne '') {
1772: &addlog("Checking not attached: ".$notattachpoint);
1773: my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax);
1774: if ($tail || $tip) {
1775: &setfailed($label);
1776: return 0;
1777: }
1778: }
1779: if ($tailpoint ne '') {
1780: &addlog("Checking tail: ".$tailpoint);
1781: my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax);
1782: unless ($tail) {
1783: &setfailed($label);
1784: return 0;
1785: }
1786: }
1787: if ($nottailpoint ne '') {
1788: &addlog("Checking not tail: ".$nottailpoint);
1789: my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax);
1790: if ($tail) {
1791: &setfailed($label);
1792: return 0;
1793: }
1794: }
1795: if ($tippoint ne '') {
1796: &addlog("Checking tip: ".$tippoint);
1797: my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax);
1798: unless ($tip) {
1799: &setfailed($label);
1800: return 0;
1801: }
1802: }
1803: if ($nottippoint ne '') {
1804: &addlog("Checking not tip: ".$nottippoint);
1805: my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax);
1806: if ($tip) {
1807: &setfailed($label);
1808: return 0;
1809: }
1810: }
1811:
1812: &addlog("Rule $label passed.");
1813: return 1;
1814: }
1815:
1816: sub sumcheck {
1817: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1818: my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
1819: &addlog("Vector Sum Rule $label for vectors ".$vectors);
1820: my $sumx=0;
1821: my $sumy=0;
1822: foreach my $sv (split(/\s*\,\s*/,$vectors)) {
1823: my ($rx,$ry)=&relvector(&vectorcoords($id,$sv));
1824: $sumx+=$rx;
1825: $sumy+=$ry;
1826: }
1827: &addlog("Sum vector ($sumx,$sumy)");
1828: if ($length ne '') {
1829: &addlog("Checking length $length with error $lengtherror");
1830: $length=&Apache::run::run($length,$safeeval);
1831: &addlog("Evaluated to $length");
1832: my $thislength=&vectorlength($sumx,$sumy);
1833: &addlog("Actual length $thislength");
1834: if (abs($length-$thislength)>$lengtherror) {
1835: &setfailed($label);
1836: return 0;
1837: }
1838: }
1839: if ($angle ne '') {
1840: &addlog("Checking angle $angle with error $angleerror");
1841: $angle=&Apache::run::run($angle,$safeeval);
1842: &addlog("Evaluated to $angle");
1843: my $thisangle=&vectorangle($sumx,$sumy);
1844: &addlog("Actual angle $thisangle");
1845: my $anglediff=abs($thisangle-$angle);
1846: &addlog("Angle difference: $anglediff");
1847: if ($anglediff>360.-$anglediff) {
1848: $anglediff=360.-$anglediff;
1849: }
1850: &addlog("Smallest angle difference: $anglediff");
1851: if ($anglediff>$angleerror) {
1852: &setfailed($label);
1853: return 0;
1854: }
1855: }
1856: &addlog("Rule $label passed.");
1857: return 1;
1858: }
1859:
1860: sub customcheck {
1861: my ($rule,$safeeval)=@_;
1862: my ($label,$type,$prg)=split(/\:/,$rule);
1863: &addlog("Custom Rule ".$label);
1864: my $result=&Apache::run::run(&unescape($prg),$safeeval);
1865: &addlog("Algorithm returned $result");
1866: unless ($result) {
1867: &setfailed($label);
1868: return 0;
1869: }
1870: &addlog("Rule $label passed.");
1871: return 1;
1872: }
1873:
1874: #
1875: # Evaluate a functionplotrule
1876: #
1877:
1878: sub functionplotrulecheck {
1879: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1880:
1881: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
1882: =split(/\:/,$rule);
1883: $percent=($percent>0?$percent:5);
1884: &addlog("=================");
1885: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
1886: #
1887: # Evaluate the value
1888: #
1889: if (($value=~/\D/) && ($value ne 'undef')) {
1890: $Apache::functionplotresponse::fpr_xmin=$xmin;
1891: $Apache::functionplotresponse::fpr_xmax=$xmax;
1892: $value=&Apache::run::run($value,$safeeval);
1893: &addlog("Value evaluated to $value");
1894: }
1895:
1896: #
1897: # Minimum and maximum lengths of the interval
1898: #
1899: if ((defined($minimumlength)) || (defined($maximumlength))) {
1900: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
1901: }
1902: my $li=0;
1903: my $lh=400;
1904:
1905: # Special case: the upper boundary was not defined
1906: # and needs to be set to the value where
1907: # the condition is not true anymore => set flag
1908:
1909: my $findupper=0;
1910: if (($xfinal eq '')
1911: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
1912: && ($xfinallabel)) {
1913: $findupper=1;
1914: }
1915:
1916: # if a hard value is set for the boundaries, it overrides the label
1917: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
1918: $li=&array_index($xmin,$xmax,$xinitial);
1919: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
1920: }
1921: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
1922: $lh=&array_index($xmin,$xmax,$xfinal);
1923: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
1924: }
1925: # if the label is defined, use it
1926: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
1927: &addlog("Using lower label $xinitiallabel");
1928: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
1929: } else {
1930: $li=&array_index($xmin,$xmax,$xinitial);
1931: }
1932: unless ($findupper) {
1933: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
1934: &addlog("Using upper label $xfinallabel");
1935: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
1936: } else {
1937: $lh=&array_index($xmin,$xmax,$xfinal);
1938: }
1939: }
1940: # Basic sanity checks
1941: if ($li<0) { $li=0; }
1942: if ($lh>400) { $lh=400; }
1943: if (($li>$lh) || (!defined($lh))) {
1944: $lh=$li;
1945: }
1946:
1947: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
1948: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
1949: if ($findupper) {
1950: &addlog("Looking for label $xfinallabel");
1951: }
1952: my $tol=$percent*($ymax-$ymin)/100;
1953: if ($xmax>$xmin) {
1954: if ($derivative==2) {
1955: $tol=4.*$tol/($xmax-$xmin);
1956: } elsif ($derivative==1) {
1957: $tol=2.*$tol/($xmax-$xmin);
1958: } elsif ($derivative==-1) {
1959: $tol=$tol*($xmax-$xmin)/2.;
1960: }
1961: }
1962: my $integral=0;
1963: my $binwidth=($xmax-$xmin)/400.;
1964: if (($derivative<0) && (!$findupper)) {
1965: # definite integral, calculate over whole length
1966: &addlog("Calculating definite integral");
1967: for (my $i=$li; $i<=$lh; $i++) {
1968: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1969: }
1970: unless (&compare_rel($relationship,$value,$integral,$tol)) {
1971: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
1972: &addlog("Rule $label failed.");
1973: &setfailed($label);
1974: return 0;
1975: }
1976: } else {
1977: for (my $i=$li; $i<=$lh; $i++) {
1978: my $val;
1979: if ($derivative==2) {
1980: $val=$Apache::functionplotresponse::d2funcdx2[$i];
1981: } elsif ($derivative==1) {
1982: $val=$Apache::functionplotresponse::dfuncdx[$i];
1983: } elsif ($derivative==-1) {
1984: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1985: $val=$integral;
1986: } else {
1987: $val=$Apache::functionplotresponse::func[$i];
1988: }
1989: unless (&compare_rel($relationship,$value,$val,$tol)) {
1990: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1991: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1992: if (($findupper) && ($i>$li)) {
1993: # Check lengths
1994: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1995: # Successfully found a new label, set it
1996: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1997: &addlog("Rule $label passed, setting label $xfinallabel");
1998: return 1;
1999: } else {
2000: &addlog("Rule $label failed.");
2001: &setfailed($label);
2002: return 0;
2003: }
2004: }
2005: }
2006: }
2007: # Corner case where this makes sense: using start or stop as defined labels
2008: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
2009: &addlog("Rule $label passed.");
2010: return 1;
2011: }
2012:
2013: #
2014: # check for minimum and maximum lengths
2015: #
2016:
2017: sub checklength {
2018: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
2019: unless (($minimumlength) || ($maximumlength)) { return 1; }
2020: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
2021: if ($minimumlength) {
2022: if ($length<$minimumlength) {
2023: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
2024: &setfailed($label);
2025: return 0;
2026: }
2027: }
2028: if ($maximumlength) {
2029: if ($length>$maximumlength) {
2030: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
2031: &setfailed($label);
2032: return 0;
2033: }
2034: }
2035: return 1;
2036: }
2037:
2038: sub setfailed {
2039: my ($hintlabel)=@_;
2040: $hintlabel=~s/^R//;
2041: push(@Apache::functionplotresponse::failedrules,$hintlabel);
2042: &addlog("Set hint condition $hintlabel");
2043: }
2044:
2045: sub start_functionplotruleset {
2046: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
2047: if ($target eq 'edit') {
2048: return &Apache::edit::start_table($token).
2049: '<tr><td><span class="LC_nobreak">'.&Apache::loncommon::insert_folding_button().&mt('Function Plot Rule Set').'</span></td>'
2050: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
2051: .&Apache::edit::deletelist($target,$token).' '.
2052: &Apache::edit::insertlist($target,$token).' '
2053: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
2054: .'</span></td>'
2055: ."<td> "
2056: .&Apache::edit::end_row()
2057: .&Apache::edit::start_spanning_row()
2058: ."\n";
2059: }
2060: }
2061:
2062: sub end_functionplotruleset {
2063: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
2064: my $id=$Apache::inputtags::response[-1];
2065: my $partid=$Apache::inputtags::part;
2066: my $internalid = $partid.'_'.$id;
2067:
2068: if ($target eq 'edit' ) {
2069: return &Apache::edit::end_table();
2070: } elsif ($target eq 'grade'
2071: && &Apache::response::submitted()
2072: && $Apache::lonhomework::type ne 'exam') {
2073: #
2074: # Actually grade
2075: #
2076: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2077:
2078: my $ad='';
2079: undef %Apache::functionplotresponse::functionplotrulelabels;
2080: $Apache::functionplotresponse::ruleslog='';
2081: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
2082: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
2083: if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
2084: $ad='NOT_FUNCTION';
2085: } else {
2086: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
2087: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
2088: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
2089: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
2090:
2091: # We have a function that we can actually grade, go through the spline rules.
2092: foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
2093: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
2094: $ad='INCORRECT';
2095: last;
2096: }
2097: }
2098: # And now go through the vector rules
2099: foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) {
2100: unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
2101: $ad='INCORRECT';
2102: last;
2103: }
2104: }
2105: # If it's not wrong, it's correct
2106: unless ($ad) { $ad='EXACT_ANS' };
2107: }
2108: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
2109: &addlog("Assigned award detail: $ad");
2110: # Store for later to be assigned at end_functionplotresponse
2111: $Apache::functionplotresponse::awarddetail=$ad;
2112: }
2113: }
2114:
2115:
2116: sub end_functionplotresponse {
2117: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
2118: &Apache::response::end_response;
2119:
2120: my $result;
2121: my $id=$Apache::inputtags::response[-1];
2122: my $partid=$Apache::inputtags::part;
2123: my $internalid = $partid.'_'.$id;
2124:
2125: if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
2126: if ($target eq 'grade'
2127: && &Apache::response::submitted()
2128: && $Apache::lonhomework::type eq 'exam') {
2129:
2130: &Apache::response::scored_response($partid,$id);
2131:
2132: } elsif ($target eq 'grade'
2133: && &Apache::response::submitted()
2134: && $Apache::lonhomework::type ne 'exam') {
2135: my ($response,%coords)=&get_answer_from_form_fields($internalid);
2136: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
2137: my %previous=&Apache::response::check_for_previous($response,$partid,$id);
2138: #
2139: # Assign grade
2140: #
2141: my $ad=$Apache::functionplotresponse::awarddetail;
2142: #
2143: # Store grading info
2144: #
2145: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
2146: &Apache::response::handle_previous(\%previous,$ad);
2147: } elsif ($target eq 'web') {
2148: undef @Apache::functionplotresponse::failedrules;
2149: }
2150: return $result;
2151: }
2152:
2153: sub end_functionplotelements {
2154: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
2155: my $result='';
2156: my $id=$Apache::inputtags::response[-1];
2157: my $partid=$Apache::inputtags::part;
2158: my $internalid = $partid.'_'.$id;
2159: if ($target eq 'edit' ) {
2160: $result=&Apache::edit::end_table();
2161: } elsif ($target eq 'web') {
2162: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2163:
2164: # Are we in show answer mode?
2165: my $showanswer=&Apache::response::show_answer();
2166: if ($showanswer) {
2167: # Render answerdisplay
2168: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
2169: if ($answerdisplay=~/\S/s) {
2170: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
2171: my @components=split(/\s*\:\s*/,$plot);
2172: if ($#components<3) {
2173: # Just a simple plot
2174: my ($func,$xl,$xh)=@components;
2175: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
2176: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
2177: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
2178: } else {
2179: # This is a spline
2180: $result.=&answer_spline_script($internalid,@components);
2181: }
2182: }
2183: }
2184: }
2185: my $fixed=0;
2186: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
2187: # Now is the time to render all of the stored splines
2188: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
2189: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
2190: }
2191: # close the init script
2192: $result.=&end_init_script();
2193: # register all splines in this response
2194: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
2195: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
2196: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
2197: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
2198: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
2199: }
2200: # generate the input fields
2201: $result.=$Apache::functionplotresponse::inputfields;
2202: # actually start the <applet>-tag
2203: $result.=&geogebra_startcode($internalid,
2204: &Apache::lonxml::get_param('width',$parstack,$safeeval,-2),
2205: &Apache::lonxml::get_param('height',$parstack,$safeeval,-2));
2206: # set default parameters
2207: $result.=&geogebra_default_parameters($internalid);
2208: # close the <applet>-tag
2209: $result.=&geogebra_endcode();
2210: }
2211: return $result;
2212: }
2213:
2214: sub boundaries {
2215: my ($parstack,$safeeval,$level)=@_;
2216: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
2217: $xmin=(defined($xmin)?$xmin:-10);
2218: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
2219: $xmax=(defined($xmax)?$xmax:10);
2220: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
2221: $ymin=(defined($ymin)?$ymin:-10);
2222: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
2223: $ymax=(defined($ymax)?$ymax:10);
2224: if ($xmax<=$xmin) {
2225: $xmax=$xmin+20;
2226: }
2227: if ($ymax<=$ymin) {
2228: $ymax=$ymin+20;
2229: }
2230: return ($xmin,$xmax,$ymin,$ymax);
2231: }
2232:
2233: sub start_functionplotelements {
2234: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
2235: my $result='';
2236: my $id=$Apache::inputtags::response[-1];
2237: my $partid=$Apache::inputtags::part;
2238: my $internalid = $partid.'_'.$id;
2239:
2240: if ($target eq 'edit') {
2241: return &Apache::edit::start_table($token).
2242: '<tr><td><span class="LC_nobreak">'.&Apache::loncommon::insert_folding_button()
2243: .&mt('Function Plot Elements').'</span></td>'
2244: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
2245: .&Apache::edit::deletelist($target,$token).' '.
2246: &Apache::edit::insertlist($target,$token).' '
2247: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
2248: .'</span></td>'
2249: ."<td> "
2250: .&Apache::edit::end_row()
2251: .&Apache::edit::start_spanning_row()
2252: ."\n";
2253: } elsif ($target eq 'web') {
2254: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2255: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2256: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2257: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2258: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
2259: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
2260:
2261:
2262: # paste in the update routine to receive stuff back from the applet
2263: $result.=&update_script($internalid);
2264: # start the initscript for this applet
2265: $result.=&start_init_script($internalid);
2266: # put the axis commands inside
2267: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
2268: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
2269: # init script is left open
2270: }
2271: return $result;
2272: }
2273:
2274: 1;
2275:
2276: __END__
2277:
2278: =head1 NAME
2279:
2280: Apache::functionplotresponse.pm;
2281:
2282: =head1 SYNOPSIS
2283:
2284: Handles tags associated with accepting function plots.
2285:
2286: This is part of the LearningOnline Network with CAPA project
2287: described at http://www.lon-capa.org.
2288:
2289: =head1 HANDLER SUBROUTINE
2290:
2291: start_functionplotresponse()
2292:
2293: =head1 OTHER SUBROUTINES
2294:
2295: =over
2296:
2297: =item end_functionplotresponse()
2298:
2299: =back
2300:
2301: =cut
FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>
![[BACK]](/icons/back.gif){kind=icon}
Return to functionplotresponse.pm CVS log ![[TXT]](/icons/text.gif){kind=icon}
![[DIR]](/icons/dir.gif){kind=icon}
Up to [LON-CAPA] / loncom / homework