1: # LearningOnline Network with CAPA
2: # Functionplot responses
3: #
4: # $Id: functionplotresponse.pm,v 1.104 2013/12/03 14:54:29 bisitz 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) = ($env{'browser.version'} =~ /^(\d*)(\d{3})\./);
59: if ((!$env{'browser.mobile'}) ||
60: (($env{'browser.mobile'}) && length($prefix))) {
61: if ($version >= 536) {
62: return 1;
63: }
64: }
65: }
66: } elsif ($env{'browser.type'} eq 'mozilla') {
67: if ($env{'browser.info'} =~ /^firefox\-(\d+)/) {
68: my $firefox = $1;
69: if ((($env{'browser.os'} eq 'mac') && ($firefox >= 20)) ||
70: (($env{'browser.os'} eq 'unix') && ($firefox >= 17)) ||
71: (($env{'browser.os'} eq 'win') && ($firefox >= 14))) {
72: return 1;
73: }
74: }
75: } elsif ($env{'browser.type'} eq 'explorer') {
76: if (($env{'browser.os'} eq 'win') && ($env{'browser.version'} >= 10)) {
77: return 1;
78: }
79: }
80: return 0;
81: }
82:
83: #
84: # HTML5 version does not understand "_" in IDs
85: #
86: sub appid {
87: my ($id)=@_;
88: $id=~s/\_/rid/gs;
89: $id=~s/\W//gs;
90: return $id;
91: }
92:
93: #
94: # Routines to start the applet (Java) or the HTML5/JavaScript
95: #
96: # There can be a number of applets on a page, each called ggbApplet_$id,
97: # where $id is the "_"-concatenated part and responseid
98: #
99:
100: sub geogebra_startcode {
101: my ($id,$width,$height)=@_;
102: if (&useHTML5()) {
103: return &html5_geogebra_startcode(@_);
104: } else {
105: return &java_geogebra_startcode(@_).
106: &java_geogebra_code_param();
107: }
108: }
109:
110: sub geogebra_endcode {
111: if (&useHTML5()) {
112: return '';
113: } else {
114: return &java_geogebra_endcode();
115: }
116: }
117:
118: sub geogebra_default_parameters {
119: my ($id)=@_;
120: if (&useHTML5()) {
121: return '';
122: } else {
123: return &java_geogebra_default_parameters($id);
124: }
125: }
126: # === Java code
127:
128: sub java_geogebra_startcode {
129: my ($id,$width,$height)=@_;
130: my $appid=&appid($id);
131: $width=int(1.*$width);
132: $height=int(1.*$height);
133: unless ($width) { $width=700; }
134: unless ($height) { $height=400; }
135: return (<<ENDSTARTCODE);
136: <applet name="ggbApplet$appid" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
137: codebase="/adm/geogebra/" width="$width" height="$height" MAYSCRIPT>
138: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
139: ENDSTARTCODE
140: }
141:
142: sub java_geogebra_endcode {
143: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
144: }
145:
146: sub java_geogebra_code_param {
147: return '<param name="ggbBase64" value="'.&geogebra_internal_program().'" />';
148: }
149:
150: # === HTML5 code
151:
152: sub html5_geogebra_startcode {
153: my ($id,$width,$height)=@_;
154: my $appid=&appid($id);
155: $width=int(1.*$width);
156: $height=int(1.*$height);
157: unless ($width) { $width=700; }
158: unless ($height) { $height=400; }
159: my $code=&geogebra_internal_program();
160: return (<<ENDSTARTCODE);
161: <article class="geogebraweb" data-param-enableLabelDrags="false" data-param-enableShiftDragZoom="false"
162: data-param-width="$width" data-param-height="$height" data-param-id="ggbApplet$appid"
163: data-param-ggbbase64="$code"></article>
164: ENDSTARTCODE
165: }
166:
167: #
168: # This is the internal GeoGebra bytecode which defines the spline functions
169: #
170: sub geogebra_internal_program {
171: return
172: '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';
173: }
174:
175: #
176: # The standard set of parameters inside <applet>
177: #
178: sub java_geogebra_default_parameters {
179: my ($id)=@_;
180: my $appid=&appid($id);
181: return(<<ENDDEFAULTPARAMETERS);
182: <param name="image" value="/adm/lonIcons/lonanim.gif" />
183: <param name="boxborder" value="false" />
184: <param name="centerimage" value="true" />
185: <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" />
186: <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" />
187: <param name="framePossible" value="false" />
188:
189: <param name="showResetIcon" value="false" />
190: <param name="showAnimationButton" value="false" />
191: <param name="enableRightClick" value="false" />
192: <param name="errorDialogsActive" value="true" />
193: <param name="enableLabelDrags" value="false" />
194: <param name="showMenuBar" value="false" />
195: <param name="showToolBar" value="false" />
196: <param name="showToolBarHelp" value="false" />
197: <param name="showAlgebraInput" value="false" />
198: <param name="enableShiftDragZoom" value="false" />
199: <param name="allowRescaling" value="false" />
200: <param name="enableLabelDrags" value="false" />
201: <param name="ggbOnInitParam" value="ggbApplet$appid" />
202: ENDDEFAULTPARAMETERS
203: }
204:
205: #
206: # This subroutine is called by LON-CAPA at </problem>
207: # Each applet on the page will call function ggbOnInit when it is done loading
208: # This function in turn will call the respective function registered by start_init_script
209: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
210: #
211:
212: sub init_script {
213: if ($#Apache::functionplotresponse::callscripts>=0) {
214: my $script='';
215: foreach my $id (@Apache::functionplotresponse::callscripts) {
216: $script.="if (param=='ggbApplet".&appid($id)."') { loaded_$id=true; }\n";
217: }
218: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
219: ") { setTimeout('ggbInitAll()',200) }";
220: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts));
221: my $html5init='';
222: if (&useHTML5()) {
223: $html5init=
224: '<script type="text/javascript" language="javascript" src="/adm/geogebra/web/web.nocache.js"></script>';
225: }
226: return (<<ENDGGBINIT);
227: $html5init
228: <script type="text/javascript">
229: // <![CDATA[
230: // Function that each applet will call when loaded
231: // It will pass "its" parameter
232: // Set flags for when an applet is loaded, wait till all are loaded, and then some
233: function ggbOnInit(param) {
234: $script
235: }
236: function ggbInitAll() {
237: $calls
238: }
239: // ]]>
240: </script>
241: ENDGGBINIT
242: }
243: }
244:
245: #
246: # Each Geogebra applet is supposed to call this when parameters change
247: # Changes the hidden fields on the web page
248: #
249: sub update_script {
250: my ($id)=@_;
251: my $appid=&appid($id);
252: return (<<ENDUPDATESCRIPT);
253: <script type="text/javascript">
254: // <![CDATA[
255: function updatePointCoordinates_$id(coordinateName) {
256: var x = document.ggbApplet$appid.getXcoord(coordinateName);
257: var y = document.ggbApplet$appid.getYcoord(coordinateName);
258: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
259: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
260: }
261: // ]]>
262: </script>
263: ENDUPDATESCRIPT
264: }
265:
266: #
267: # Register the above update-handler for a variable
268: #
269:
270: sub update_register {
271: my ($id,$variable)=@_;
272: my $appid=&appid($id);
273: return "document.ggbApplet$appid.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
274: }
275:
276: #
277: # Set a point coordinate variable
278: #
279: sub set_point_coordinate {
280: my ($id,$variable,$x,$y,$fixed)=@_;
281: my $appid=&appid($id);
282: my $mult=($fixed?'a*':'');
283: # Get rid of wild exponents, make sure it's a number
284: $x=1.*$x;
285: $y=1.*$y;
286: # GeoGebra does not understand "E"
287: $x=~s/[e|E]/\*10\^/;
288: $x=~s/\+//;
289: $y=~s/[e|E]/\*10\^/;
290: $y=~s/\+//;
291: return (<<ENDSETVARIABLE);
292: document.ggbApplet$appid.evalCommand("a=1");
293: document.ggbApplet$appid.evalCommand("$variable=$mult($x,$y)");
294: document.ggbApplet$appid.setLabelVisible("$variable",false);
295: ENDSETVARIABLE
296: }
297:
298: #
299: # Set a slope coordinate variable
300: #
301: sub set_slope_coordinate {
302: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
303: my $appid=&appid($id);
304: my $xvariable=$variable.'x';
305: my $yvariable=$variable.'y';
306: my $domain=$xmax-$xmin;
307: my $range=$ymax-$ymin;
308: my $xinterval=$domain/100.;
309: my $yinterval=$range/200.;
310: my $mult=($fixed?'a*':'');
311: return (<<ENDSETSVARIABLE);
312: document.ggbApplet$appid.evalCommand("a=1");
313: document.ggbApplet$appid.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
314: document.ggbApplet$appid.setVisible("$xvariable", false);
315: document.ggbApplet$appid.evalCommand("$xvariable=$xrel");
316: document.ggbApplet$appid.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
317: document.ggbApplet$appid.setVisible("$yvariable", false);
318: document.ggbApplet$appid.evalCommand("$yvariable=$yrel");
319: document.ggbApplet$appid.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
320: document.ggbApplet$appid.setLabelVisible("$variable", false);
321: ENDSETSVARIABLE
322: }
323:
324: #
325: # Input field name for a coordinate variable
326: #
327:
328: sub field_name {
329: my ($id,$variable,$name)=@_;
330: return "HWVAL_$id\_$variable\_$name";
331: }
332:
333: #
334: # Generate an input field for a coordinate variable
335: #
336:
337: sub generate_input_field {
338: my ($id,$variable,$x,$y)=@_;
339: $Apache::functionplotresponse::inputfields.=
340: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
341: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
342: }
343:
344: #
345: # Initialize a new point coordinate variable at set a listener on it
346: #
347: sub new_point_coordinate {
348: my ($id,$variable,$x,$y,$fixed)=@_;
349: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
350: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
351: }
352: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
353: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
354: }
355: &generate_input_field($id,$variable,$x,$y);
356: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
357: }
358:
359: #
360: # Initialize a new slope coordinate variable at set a listener on it
361: #
362: sub new_slope_coordinate {
363: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
364: #
365: # $variable: name of the slope point
366: # $x, $y: coordinates of the slope point
367: # $pointname: name of the associated point point
368: # $xp $yp: coordinates of the point point
369: #
370: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
371: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
372: }
373: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
374: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
375: }
376: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
377: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
378: }
379: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
380: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
381: }
382:
383: &generate_input_field($id,$variable,$x,$y);
384: my $xrel=$x-$xp;
385: my $yrel=$y-$yp;
386: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
387: }
388:
389: #
390: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
391: # It then starts the right headers
392: #
393: sub start_init_script {
394: my ($id)=@_;
395: # Add id to the list of ggbInit_$id functions that need to be called
396: push(@Apache::functionplotresponse::callscripts,$id);
397: # ... and open this function
398: return (<<ENDSTARTINIT);
399: <script type="text/javascript">
400: // <![CDATA[
401: // variable that will eventually be passed back to the server
402: var coordinateMap_$id = [];
403: // flag for not loaded yet
404: var loaded_$id=false;
405: // Init-function for applet
406: function ggbInit_$id() {
407: ENDSTARTINIT
408: }
409:
410: #
411: # This sets the axes inside ggbInit_$id
412: #
413:
414: sub axes_script {
415: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
416: my $appid=&appid($id);
417: return (<<ENDAXESSCRIPT);
418: // changes (xmin, xmax, ymin, ymax)
419: document.ggbApplet$appid.setCoordSystem($xmin,$xmax,$ymin,$ymax);
420:
421: // makes the (x,y) axis (in)visible
422: document.ggbApplet$appid.setAxesVisible($xvisible,$yvisible);
423: // makes the grid (in)visible
424: document.ggbApplet$appid.setGridVisible($gvisible);
425: ENDAXESSCRIPT
426: }
427:
428: sub axes_label {
429: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
430: my $appid=&appid($id);
431: unless ($xlabel || $ylabel) { return ''; }
432: my $return='document.ggbApplet'.$appid.'.evalCommand("topRight=Corner[3]");';
433: if ($xlabel) {
434: if (($ymin<0) && ($ymax>0)) {
435: $return.=(<<ENDXAXISLABELSCRIPT);
436: document.ggbApplet$appid.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
437: document.ggbApplet$appid.setVisible("Xlabel",false);
438: document.ggbApplet$appid.evalCommand("Text[\\"$xlabel\\", Xlabel]");
439: ENDXAXISLABELSCRIPT
440: } else {
441: $return.=(<<ENDXOFFAXISLABEL);
442: document.ggbApplet$appid.evalCommand("LowerRight=Corner[2]");
443: document.ggbApplet$appid.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
444: ENDXOFFAXISLABEL
445: }
446: }
447: if ($ylabel) {
448: if (($xmin<0) && ($xmax>0)) {
449: $return.=(<<ENDYAXISLABELSCRIPT);
450: document.ggbApplet$appid.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
451: document.ggbApplet$appid.setVisible("Ylabel",false);
452: document.ggbApplet$appid.evalCommand("Text[\\"$ylabel\\", Ylabel]");
453: ENDYAXISLABELSCRIPT
454: } else {
455: $return.=(<<ENDYOFFAXISLABEL);
456: document.ggbApplet$appid.evalCommand("UpperLeft=Corner[4]");
457: document.ggbApplet$appid.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
458: ENDYOFFAXISLABEL
459: }
460: }
461: return $return;
462: }
463:
464: #
465: # Subroutine to produce background and answer plots
466: #
467:
468: sub plot_script {
469: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
470: my $appid=&appid($id);
471: $label=~s/\W//g;
472: if (($label) && ($label!~/^[A-Za-z]/)) {
473: $label='C'.$label;
474: }
475: my $visible=0;
476: if ($label) {
477: $visible="1";
478: } else {
479: $Apache::functionplotresponse::counter++;
480: $label='C'.$Apache::functionplotresponse::counter;
481: }
482: my $rc=0;
483: my $gc=0;
484: my $bc=0;
485: if ($color) {
486: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
487: $rc=hex($rh);
488: $gc=hex($gh);
489: $bc=hex($bh);
490: }
491: if ($fixed) {
492: return "document.ggbApplet$appid.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
493: ($visible?'':"document.ggbApplet$appid.setLabelVisible('$label', false);\n").
494: ($color?"document.ggbApplet$appid.setColor('$label',$rc,$gc,$bc);\n":'').
495: ($thickness?"document.ggbApplet$appid.setLineThickness('$label',$thickness);\n":'');
496: } else {
497: return "document.ggbApplet$appid.evalCommand('y=$function');\n";
498: }
499: }
500:
501: #
502: # Subroutine to produce objects
503: #
504:
505: sub plotobject_script {
506: my ($id,$label,$x,$y)=@_;
507: my $appid=&appid($id);
508: unless ($label) {
509: $Apache::functionplotresponse::counter++;
510: $label='O'.$Apache::functionplotresponse::counter;
511: }
512: &generate_input_field($id,$label,$x,$y);
513: return "document.ggbApplet$appid.evalCommand('a=1');\n".
514: "document.ggbApplet$appid.setVisible('a', false);\n".
515: "document.ggbApplet$appid.setLabelVisible('a', false);\n".
516: "document.ggbApplet$appid.evalCommand('$label=a*($x,$y)');\n".
517: "document.ggbApplet$appid.setVisible('$label', true);\n".
518: "document.ggbApplet$appid.setLabelVisible('$label', true);\n";
519: }
520:
521: #
522: # Subroutine to produce vectors
523: #
524:
525: sub plotvector_script {
526: my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax,$fixed)=@_;
527: my $appid=&appid($id);
528: unless ($label) {
529: $Apache::functionplotresponse::counter++;
530: $label='V'.$Apache::functionplotresponse::counter;
531: }
532: my $startlabel=$label.'Start';
533: my $endlabel=$label.'End';
534: my $pointlabel=$label.'Point';
535: my $pointx=2.*($xmax-$xmin)+$xmax;
536: my $anglelabel=$label.'Angle';
537: return
538: &new_point_coordinate($id,$startlabel,$xs,$ys,$fixed).
539: &new_point_coordinate($id,$endlabel,$xe,$ye,$fixed).
540: (<<ENDVECTOR);
541: document.ggbApplet$appid.evalCommand("$label=Vector[$startlabel,$endlabel]");
542: document.ggbApplet$appid.setLabelVisible("$label",true);
543: document.ggbApplet$appid.setLineThickness("$label",8);
544: document.ggbApplet$appid.evalCommand("$pointlabel=($pointx,y($startlabel))");
545: document.ggbApplet$appid.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
546: document.ggbApplet$appid.setLabelVisible("$anglelabel",true);
547: document.ggbApplet$appid.setLabelStyle("$anglelabel",VALUE=2);
548: ENDVECTOR
549: }
550:
551: #
552: # Answer spline display
553: #
554: # points: x,y,slope_x,slope_y
555:
556: sub answer_spline_script {
557: my ($id,@points)=@_;
558: my $appid=&appid($id);
559: my $order=int(($#points+1)/4);
560: if ($order<2) { $order=2; }
561: if ($order>8) { $order=8; }
562: $Apache::functionplotresponse::counter++;
563: my $label='CSpline'.$Apache::functionplotresponse::counter;
564: my $output='document.ggbApplet'.$appid.'.evalCommand("'.$label.'=Spline'.$order.'[';
565: for (my $i=0;$i<=$#points;$i+=4) {
566: $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
567: }
568: $output=~s/\,$//;
569: $output.=']");'."\n";
570: for (my $i=2; $i<2*$order; $i+=2) {
571: $output.='document.ggbApplet'.$appid.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
572: }
573: for (my $i=1; $i<2*$order; $i+=2) {
574: $output.='document.ggbApplet'.$appid.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
575: }
576:
577: return $output;
578: }
579:
580: #
581: # Subroutine that generates code for spline $label based on stored information
582: #
583:
584: sub generate_spline {
585: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
586: my $appid=&appid($id);
587: my $result='';
588: my $order=$Apache::functionplotresponse::splineorder{$label};
589: my $x=$Apache::functionplotresponse::splineinitx{$label};
590: my $y=$Apache::functionplotresponse::splineinity{$label};
591: my $sx=$Apache::functionplotresponse::splinescalex{$label};
592: my $sy=$Apache::functionplotresponse::splinescaley{$label};
593: my @coords=();
594: foreach my $i (1..$order) {
595: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
596: my $xp=$x;
597: $x+=$sx/(2.*($order-1));
598: push(@coords,$label.'P'.$i);
599: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
600: $x+=$sx/(2.*($order-1));
601: push(@coords,$label.'S'.$i);
602: }
603: $result.='document.ggbApplet'.$appid.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
604: return $result;
605: }
606:
607: #
608: # Object
609: #
610:
611: sub start_plotobject {
612: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
613: my $result='';
614: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
615: my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
616: my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
617: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
618: $label=~s/\W//gs;
619: $label=ucfirst($label);
620: unless ($label) { $label="NewObject"; }
621: if ($target eq 'web') {
622: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
623: unless (defined($x)) { $x=$xmin; }
624: unless (defined($y)) { $y=$ymin; }
625: $result.=&plotobject_script($internalid,$label,$x,$y);
626: } elsif ($target eq 'edit') {
627: $result=&Apache::edit::tag_start($target,$token,'Plot Object').
628: &Apache::edit::text_arg('Label on Plot:','label',
629: $token,'16').
630: &Apache::edit::text_arg('x:','x',
631: $token,'8').
632: &Apache::edit::text_arg('y:','y',
633: $token,'8').
634: &Apache::edit::end_row();
635: } elsif ($target eq 'modified') {
636: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
637: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
638: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
639: }
640: return $result;
641: }
642:
643: sub end_plotobject {
644: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
645: my $result='';
646: if ($target eq 'edit') {
647: $result=&Apache::edit::end_table();
648: }
649: return $result;
650: }
651:
652: #
653: # Vector
654: #
655:
656: sub start_plotvector {
657: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
658: my $result='';
659: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
660: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
661: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
662: my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
663: my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
664:
665: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
666: $label=~s/\W//gs;
667: $label=ucfirst($label);
668: unless ($label) { $label="NewVector"; }
669: if ($Apache::functionplotresponse::vectorlabels{$label}) {
670: &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label));
671: }
672: $Apache::functionplotresponse::vectorlabels{$label}=1;
673: if ($target eq 'web') {
674: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
675: unless (defined($tailx)) { $tailx=$xmin; }
676: unless (defined($taily)) { $taily=$ymin; }
677: unless (defined($tipx)) { $tipx=$xmin; }
678: unless (defined($tipy)) { $tipy=$ymin; }
679: my $fixed=0;
680: if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; }
681: $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed);
682: } elsif ($target eq 'edit') {
683: $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
684: &Apache::edit::text_arg('Label on Plot:','label',
685: $token,'16').
686: &Apache::edit::text_arg('Tail x:','tailx',
687: $token,'8').
688: &Apache::edit::text_arg('Tail y:','taily',
689: $token,'8').
690: &Apache::edit::text_arg('Tip x:','tipx',
691: $token,'8').
692: &Apache::edit::text_arg('Tip y:','tipy',
693: $token,'8').
694:
695: &Apache::edit::end_row();
696: } elsif ($target eq 'modified') {
697: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
698: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
699: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
700: }
701: return $result;
702: }
703:
704: sub end_plotvector {
705: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
706: my $result='';
707: if ($target eq 'edit') {
708: $result=&Apache::edit::end_table();
709: }
710: return $result;
711: }
712:
713:
714: #
715: # Vector sum - have GeoGebra draw a sum of specified vectors to help students draw
716: #
717:
718: sub start_drawvectorsum {
719: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
720: my $result='';
721: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
722: my $internalappid=&appid($internalid);
723: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
724: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
725: my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval);
726: my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval);
727: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
728: $label=~s/\W//gs;
729: $label=ucfirst($label);
730: unless ($label) { $label="NewVector"; }
731: if ($target eq 'web') {
732: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
733: unless (defined($tailx)) { $tailx=$xmin; }
734: unless (defined($taily)) { $taily=$ymin; }
735: unless (defined($vectorlist)) { $vectorlist=''; }
736: my @vectors=split(/\,/,$vectorlist);
737: if ($#vectors>0) {
738: my @sumx=();
739: my @sumy=();
740: foreach my $thisvector (@vectors) {
741: $thisvector=~s/\W//gs;
742: $thisvector=ucfirst($thisvector);
743: unless ($thisvector) { next; }
744: unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) {
745: &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector));
746: next;
747: }
748: my $vectorx=$thisvector.'X';
749: my $vectory=$thisvector.'Y';
750: $result.=(<<ENDADDVEC);
751: document.ggbApplet$internalappid.evalCommand("$vectorx=x($thisvector)");
752: document.ggbApplet$internalappid.evalCommand("$vectory=y($thisvector)");
753: document.ggbApplet$internalappid.evalCommand("Include$thisvector$label=Checkbox[]");
754: ENDADDVEC
755: push(@sumx,"If[Include$thisvector$label,$vectorx,0]");
756: push(@sumy,"If[Include$thisvector$label,$vectory,0]");
757: }
758: $result.="document.ggbApplet$internalappid.evalCommand(".'"'."xTot$label=".join('+',@sumx).'");'."\n";
759: $result.="document.ggbApplet$internalappid.evalCommand(".'"'."yTot$label=".join('+',@sumy).'");'."\n";
760: my $show=0;
761: if ($showvalue=~/yes/i) {
762: $show=1;
763: }
764: $result.=(<<ENDMAKEVECTOR);
765: document.ggbApplet$internalappid.evalCommand("$label=Vector[($tailx,$taily),($tailx+xTot$label,$taily+yTot$label)]");
766: document.ggbApplet$internalappid.setLabelVisible("$label",true);
767: document.ggbApplet$internalappid.setLineThickness("$label",8);
768: document.ggbApplet$internalappid.setColor("$label",255,0,0);
769: document.ggbApplet$internalappid.setLabelStyle("$label",VALUE=$show);
770: ENDMAKEVECTOR
771: }
772: } elsif ($target eq 'edit') {
773: $result=&Apache::edit::tag_start($target,$token,'Draw Vector Sum').
774: &Apache::edit::text_arg('Label on Plot:','label',
775: $token,'16').
776: &Apache::edit::text_arg('Tail x:','tailx',
777: $token,'8').
778: &Apache::edit::text_arg('Tail y:','taily',
779: $token,'8').
780: &Apache::edit::select_arg('Show Value:','showvalue',
781: ['yes','no'],$token).'<br />'.
782: &Apache::edit::text_arg('Vector List:','vectorlist',
783: $token,'40').
784: &Apache::edit::end_row();
785: } elsif ($target eq 'modified') {
786: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
787: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist');
788: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
789: }
790: return $result;
791: }
792:
793:
794: sub end_drawvectorsum {
795: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
796: my $result='';
797: if ($target eq 'edit') {
798: $result=&Apache::edit::end_table();
799: }
800: return $result;
801: }
802:
803:
804:
805: #
806: # <backgroundplot function="..." fixed="yes/no" />
807: #
808: sub start_backgroundplot {
809: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
810: my $result='';
811: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
812: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
813: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
814: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
815: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
816: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
817: $color=~s/[^a-fA-F0-9]//gs;
818: unless (length($color)==6) { $color=''; }
819: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
820:
821: unless ($function) { $function="0"; }
822: if ($target eq 'web') {
823: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
824: unless (defined($xinitial)) { $xinitial=$xmin; }
825: unless (defined($xfinal)) { $xfinal=$xmax; }
826: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
827: } elsif ($target eq 'edit') {
828: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
829: &Apache::edit::text_arg('Function:','function',
830: $token,'16').
831: &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
832: $token,'8').
833: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
834: $token,'8').
835: &Apache::edit::text_arg('Label on Plot:','label',
836: $token,'8').
837: &Apache::edit::text_arg('Color (hex code):','color',
838: $token,'8', 'colorchooser').
839: &Apache::edit::select_arg('Fixed location:','fixed',
840: ['yes','no'],$token).
841: &Apache::edit::end_row();
842: } elsif ($target eq 'modified') {
843: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
844: $safeeval,'function','label','xinitial','xfinal','color','fixed');
845: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
846: }
847: return $result;
848: }
849:
850: sub end_backgroundplot {
851: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
852: my $result='';
853: if ($target eq 'edit') {
854: $result=&Apache::edit::end_table();
855: }
856: return $result;
857: }
858:
859: #
860: # <functionplotrule ... />
861: #
862: sub start_functionplotrule {
863: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
864: my $result='';
865: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
866: $Apache::functionplotresponse::counter++;
867: if ($label=~/\W/) {
868: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
869: }
870: $label=~s/\W//gs;
871: unless ($label) {
872: $label='R'.$Apache::functionplotresponse::counter;
873: } else {
874: $label='R'.$label;
875: }
876:
877: if ($target eq 'grade') {
878: # Simply remember - in order - for later
879: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
880: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
881: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
882: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
883: }
884: $beginninglabel=~s/\W//gs;
885: $endinglabel=~s/\W//gs;
886: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
887: $relationship=~s/\W//gs;
888: $relationship=lc($relationship);
889: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
890: &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
891: $relationship='eq';
892: }
893: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
894: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
895: &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
896: $derivative=0;
897: }
898: push(@Apache::functionplotresponse::functionplotrules,join(':',(
899: $label,
900: $derivative,
901: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
902: $beginninglabel,
903: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
904: $endinglabel,
905: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
906: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
907: $relationship,
908: &Apache::lonxml::get_param('value',$parstack,$safeeval),
909: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
910: )));
911: } elsif ($target eq 'edit') {
912: $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule').
913: &Apache::edit::text_arg('Index/Name:','index',
914: $token,'10').' '.
915: &Apache::edit::select_arg('Function:','derivativeorder',
916: [['0','Function itself'],
917: ['1','First derivative'],
918: ['2','Second derivative'],
919: ['-1','Integral']],$token).'<br />'.
920: &Apache::edit::text_arg('Initial x-value:','xinitial',
921: $token,'8').
922: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
923: [['start','Start of Plot'],
924: ['end','End of Plot']],$token,'8').'<br />'.
925:
926: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
927: $token,'8').
928: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
929: [['end','End of Plot']],$token,'8').'<br />'.
930: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
931: $token,'8').
932: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
933: $token,'8').'<br />'.
934: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
935: [['eq','equal'],
936: ['ne','not equal'],
937: ['ge','greater than or equal'],
938: ['gt','greater than'],
939: ['lt','less than'],
940: ['le','less than or equal']],$token).
941: $result.= &Apache::edit::select_or_text_arg('Value:','value',
942: [['undef','not defined']],$token,'30').
943: &Apache::edit::text_arg('Percent error:','percenterror',
944: $token,'8').
945: &Apache::edit::end_row();
946: } elsif ($target eq 'modified') {
947: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
948: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
949: }
950: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
951: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
952: }
953: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
954: $safeeval,'index','derivativeorder',
955: 'xinitial','xinitiallabel','xfinal','xfinallabel',
956: 'minimumlength','maximumlength',
957: 'relationship','value','percenterror');
958: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
959: }
960: return $result;
961: }
962:
963: sub end_functionplotrule {
964: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
965: my $result='';
966: if ($target eq 'edit') {
967: $result=&Apache::edit::end_table();
968: }
969: return $result;
970: }
971:
972:
973: #
974: # <functionplotvectorrule ... />
975: #
976: sub start_functionplotvectorrule {
977: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
978: my $result='';
979: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
980: $Apache::functionplotresponse::counter++;
981: if ($label=~/\W/) {
982: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
983: }
984: $label=~s/\W//gs;
985: unless ($label) {
986: $label='R'.$Apache::functionplotresponse::counter;
987: } else {
988: $label='R'.$label;
989: }
990:
991: if ($target eq 'grade') {
992: # Simply remember - in order - for later
993:
994: my $id=$Apache::inputtags::response[-1];
995: my $partid=$Apache::inputtags::part;
996: my $internalid = $partid.'_'.$id;
997:
998: my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval);
999: $vector=~s/\W//gs;
1000: $vector=ucfirst($vector);
1001:
1002: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
1003: $label,
1004: 'vector',
1005: $internalid,
1006: $vector,
1007: &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval),
1008: &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval),
1009: &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval),
1010: &Apache::lonxml::get_param('tippoint',$parstack,$safeeval),
1011: &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval),
1012: &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval),
1013: &Apache::lonxml::get_param('length',$parstack,$safeeval),
1014: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
1015: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
1016: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
1017: )));
1018: } elsif ($target eq 'edit') {
1019: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule').
1020: &Apache::edit::text_arg('Index/Name:','index',
1021: $token,'10').' '.
1022: &Apache::edit::text_arg('Vector:','vector',
1023: $token,'16').'<br />'.
1024: &Apache::edit::text_arg('Attached to object:','attachpoint',
1025: $token,'16').
1026: &Apache::edit::text_arg('Not attached to object:','notattachpoint',
1027: $token,'16').'<br />'.
1028: &Apache::edit::text_arg('Tail attached to object:','tailpoint',
1029: $token,'16').
1030: &Apache::edit::text_arg('Tip attached to object:','tippoint',
1031: $token,'16').
1032: &Apache::edit::text_arg('Tail not attached to object:','nottailpoint',
1033: $token,'16').
1034: &Apache::edit::text_arg('Tip not attached to object:','nottippoint',
1035: $token,'16').'<br />'.
1036: &Apache::edit::text_arg('Length:','length',
1037: $token,'30').
1038: &Apache::edit::text_arg('Absolute error length:','lengtherror',
1039: $token,'8').'<br />'.
1040: &Apache::edit::text_arg('Angle:','angle',
1041: $token,'30').
1042: &Apache::edit::text_arg('Absolute error angle:','angleerror',
1043: $token,'8').
1044: &Apache::edit::end_row();
1045: } elsif ($target eq 'modified') {
1046: $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')});
1047: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1048: $safeeval,'index','vector','attachpoint','notattachpoint',
1049: 'tailpoint','tippoint','nottailpoint','nottipoint',
1050: 'length','angle',
1051: 'lengtherror','angleerror');
1052: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1053: }
1054: return $result;
1055: }
1056:
1057: sub end_functionplotvectorrule {
1058: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1059: my $result='';
1060: if ($target eq 'edit') {
1061: $result=&Apache::edit::end_table();
1062: }
1063: return $result;
1064: }
1065:
1066: #
1067: # <functionplotvectorsumrule ... />
1068: #
1069: sub start_functionplotvectorsumrule {
1070: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1071: my $result='';
1072: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1073: $Apache::functionplotresponse::counter++;
1074: if ($label=~/\W/) {
1075: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1076: }
1077: $label=~s/\W//gs;
1078: unless ($label) {
1079: $label='R'.$Apache::functionplotresponse::counter;
1080: } else {
1081: $label='R'.$label;
1082: }
1083: if ($target eq 'grade') {
1084: # Simply remember - in order - for later
1085: my $id=$Apache::inputtags::response[-1];
1086: my $partid=$Apache::inputtags::part;
1087: my $internalid = $partid.'_'.$id;
1088: my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval);
1089: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
1090: $label,
1091: 'sum',
1092: $internalid,
1093: $vectors,
1094: &Apache::lonxml::get_param('length',$parstack,$safeeval),
1095: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
1096: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
1097: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
1098: )));
1099: } elsif ($target eq 'edit') {
1100: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule').
1101: &Apache::edit::text_arg('Index/Name:','index',
1102: $token,'10').' '.
1103: &Apache::edit::text_arg('Comma-separated list of vectors:','vectors',
1104: $token,'30').'<br />'.
1105: &Apache::edit::text_arg('Sum vector length:','length',
1106: $token,'30').
1107: &Apache::edit::text_arg('Absolute error length:','lengtherror',
1108: $token,'8').'<br />'.
1109: &Apache::edit::text_arg('Sum vector angle:','angle',
1110: $token,'30').
1111: &Apache::edit::text_arg('Absolute error angle:','angleerror',
1112: $token,'8').
1113: &Apache::edit::end_row();
1114: } elsif ($target eq 'modified') {
1115: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1116: $safeeval,'index','vectors',
1117: 'length','angle',
1118: 'lengtherror','angleerror');
1119: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1120: }
1121: return $result;
1122: }
1123:
1124: sub end_functionplotvectorsumrule {
1125: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1126: my $result='';
1127: if ($target eq 'edit') {
1128: $result=&Apache::edit::end_table();
1129: }
1130: return $result;
1131: }
1132:
1133: #
1134: # <functionplotcustom ... />
1135: #
1136: sub start_functionplotcustomrule {
1137: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1138: my $result='';
1139: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1140: $Apache::functionplotresponse::counter++;
1141: if ($label=~/\W/) {
1142: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1143: }
1144: $label=~s/\W//gs;
1145: unless ($label) {
1146: $label='R'.$Apache::functionplotresponse::counter;
1147: } else {
1148: $label='R'.$label;
1149: }
1150: &Apache::lonxml::register('Apache::response',('answer'));
1151: if ($target eq 'edit') {
1152: $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule').
1153: &Apache::edit::text_arg('Index/Name:','index',$token,'10').
1154: &Apache::edit::end_row();
1155: } elsif ($target eq 'modified') {
1156: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index');
1157: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1158: }
1159: return $result;
1160: }
1161:
1162: sub end_functionplotcustomrule {
1163: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1164: my $result='';
1165: if ($target eq 'edit') {
1166: $result=&Apache::edit::end_table();
1167: } elsif ($target eq 'grade') {
1168: # Simply remember - in order - for later
1169: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1170: $Apache::functionplotresponse::counter++;
1171: if ($label=~/\W/) {
1172: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1173: }
1174: $label=~s/\W//gs;
1175: unless ($label) {
1176: $label='R'.$Apache::functionplotresponse::counter;
1177: } else {
1178: $label='R'.$label;
1179: }
1180: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
1181: $label,
1182: 'custom',
1183: &escape($Apache::response::custom_answer[-1])
1184: )));
1185: }
1186: &Apache::lonxml::deregister('Apache::response',('answer'));
1187: return $result;
1188: }
1189:
1190:
1191:
1192: #
1193: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
1194: #
1195: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
1196: #
1197: sub start_spline {
1198: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1199: my $result='';
1200: if ($target eq 'web') {
1201: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1202: $Apache::functionplotresponse::counter++;
1203: if ($label=~/\W/) {
1204: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
1205: }
1206: $label=~s/\W//gs;
1207: unless ($label) {
1208: $label='S'.$Apache::functionplotresponse::counter;
1209: } else {
1210: $label='S'.$label;
1211: }
1212: if ($Apache::functionplotresponse::splineorder{$label}) {
1213: &Apache::lonxml::error(&mt('Spline indices must be unique.'));
1214: }
1215:
1216: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
1217: if ($order<2) { $order=2; }
1218: if ($order>8) { $order=8; }
1219: $Apache::functionplotresponse::splineorder{$label}=$order;
1220:
1221: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
1222: unless ($x) { $x=0; }
1223: $Apache::functionplotresponse::splineinitx{$label}=$x;
1224:
1225: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
1226: unless ($y) { $y=0; }
1227: $Apache::functionplotresponse::splineinity{$label}=$y;
1228:
1229: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
1230: unless ($sx) { $sx=$order; }
1231: $Apache::functionplotresponse::splinescalex{$label}=$sx;
1232:
1233: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
1234: unless ($sy) { $sy=2; }
1235: $Apache::functionplotresponse::splinescaley{$label}=$sy;
1236: } elsif ($target eq 'edit') {
1237: $result=&Apache::edit::tag_start($target,$token,'Spline').
1238: &Apache::edit::text_arg('Index:','index',
1239: $token,'4').' '.
1240: &Apache::edit::select_arg('Order:','order',
1241: ['2','3','4','5','6','7','8'],$token).' '.
1242: &Apache::edit::text_arg('Initial x-value:','initx',
1243: $token,'4').' '.
1244: &Apache::edit::text_arg('Initial y-value:','inity',
1245: $token,'4').' '.
1246: &Apache::edit::text_arg('Scale x:','scalex',
1247: $token,'4').' '.
1248: &Apache::edit::text_arg('Scale y:','scaley',
1249: $token,'4').
1250: &Apache::edit::end_row();
1251: } elsif ($target eq 'modified') {
1252: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1253: $safeeval,'index','order','initx','inity',
1254: 'scalex','scaley');
1255: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1256: }
1257: return $result;
1258: }
1259:
1260: sub end_spline {
1261: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1262: my $result='';
1263: if ($target eq 'edit') {
1264: $result=&Apache::edit::end_table();
1265: }
1266: return $result;
1267: }
1268:
1269: sub end_init_script {
1270: return (<<ENDENDINIT);
1271: }
1272: // ]]>
1273: </script>
1274: ENDENDINIT
1275: }
1276:
1277: #
1278: # Storing and restoring spline coordinates from part answers
1279: #
1280: sub decode_previous_answer {
1281: my ($answer)=@_;
1282: foreach my $coordinate (split(/\,/,$answer)) {
1283: my ($key,$value)=split(/\=/,$coordinate);
1284: $Apache::functionplotresponse::previous{$key}=$value;
1285: }
1286: }
1287:
1288: sub get_answer_from_form_fields {
1289: my ($id)=@_;
1290: my $answer='';
1291: my %coords=();
1292: foreach my $field (keys(%env)) {
1293: if ($field=~/^form\.HWVAL\_$id/) {
1294: $field=~/^form\.(.*)$/;
1295: $coords{$1}=$env{$field};
1296: }
1297: }
1298: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
1299: return ($answer,%coords);
1300: }
1301:
1302: #
1303: # The following functions calculate the cubic-hermite splines server-side
1304: #
1305:
1306: sub cubic_hermite {
1307: my ($t,$p1,$s1,$p2,$s2)=@_;
1308: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
1309: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2);
1310: }
1311:
1312: #
1313: # d/dt(...)
1314: #
1315:
1316: sub ddt_cubic_hermite {
1317: my ($t,$p1,$s1,$p2,$s2)=@_;
1318: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
1319: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2);
1320: }
1321:
1322: #
1323: # d^2/dt^2(...)
1324: #
1325:
1326: sub d2dt2_cubic_hermite {
1327: my ($t,$p1,$s1,$p2,$s2)=@_;
1328: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
1329: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
1330: }
1331:
1332: #
1333: # Array index calculation
1334: #
1335: sub array_index {
1336: my ($xmin,$xmax,$x)=@_;
1337: if ($x ne '') {
1338: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
1339: } else {
1340: return undef;
1341: }
1342: }
1343:
1344: #
1345: # Populate the arrays
1346: #
1347:
1348: sub populate_arrays {
1349: my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
1350: for (my $i=0; $i<=400; $i++) {
1351: $Apache::functionplotresponse::actualxval[$i]=undef;
1352: $Apache::functionplotresponse::func[$i]=undef;
1353: $Apache::functionplotresponse::dfuncdx[$i]=undef;
1354: $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1355: }
1356: unless ($xmax>$xmin) { return 'no_func'; }
1357: # Run over all splines in response
1358: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1359: my $xiold=-1;
1360: # Run over all points in spline
1361: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1362: my $ni=$i+1;
1363: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
1364: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
1365: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
1366: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
1367: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
1368: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
1369: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
1370: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
1371: # Run in small steps over spline parameter
1372: for (my $t=0; $t<=1; $t+=0.0001) {
1373: my $xreal=&cubic_hermite($t,@xparms);
1374: my $xi=&array_index($xmin,$xmax,$xreal);
1375: if ($xi<$xiold) { return 'no_func'; }
1376: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
1377: $xiold=$xi;
1378: $Apache::functionplotresponse::actualxval[$xi]=$xreal;
1379: # Function value
1380: my $funcval=&cubic_hermite($t,@yparms);
1381:
1382: # Do we already have a value for this point, and is it different from the new one?
1383: if ((defined($Apache::functionplotresponse::func[$xi])) &&
1384: (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) {
1385: return 'no_func';
1386: }
1387: # Okay, remember the new point
1388: $Apache::functionplotresponse::func[$xi]=$funcval;
1389:
1390: if (defined($funcval)) {
1391: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
1392: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
1393: }
1394: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
1395: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
1396: }
1397: }
1398: # Chain rule
1399: # dy/dx=dy/dt/(dx/dt)
1400: my $dxdt=&ddt_cubic_hermite($t,@xparms);
1401: if ($dxdt) {
1402: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
1403: # Second derivative
1404: $Apache::functionplotresponse::d2funcdx2[$xi]=
1405: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
1406: ($dxdt*$dxdt*$dxdt);
1407: }
1408: }
1409: }
1410: }
1411: }
1412: }
1413:
1414: #
1415: # Implementation of <functionplotresponse>
1416: #
1417:
1418: sub start_functionplotresponse {
1419: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1420: my $result='';
1421: # To remember the splines - somehow, they need to come last
1422: undef %Apache::functionplotresponse::splineorder;
1423: undef %Apache::functionplotresponse::splineinitx;
1424: undef %Apache::functionplotresponse::splineinity;
1425: undef %Apache::functionplotresponse::splinescalex;
1426: undef %Apache::functionplotresponse::splinescaley;
1427: # Remember input fields, etc
1428: undef %Apache::functionplotresponse::previous;
1429: $Apache::functionplotresponse::inputfields='';
1430: $Apache::functionplotresponse::counter=0;
1431: # Remember vectors
1432: undef %Apache::functionplotresponse::vectorlabels;
1433: # Remember rules
1434: undef @Apache::functionplotresponse::functionplotrules;
1435: undef @Apache::functionplotresponse::functionplotvectorrules;
1436: # Remember failed rules
1437: if ($target eq 'grade') {
1438: undef @Apache::functionplotresponse::failedrules;
1439: }
1440: # Delete previous awards
1441: undef $Apache::functionplotresponse::awarddetail;
1442: # Part and ID
1443: my $partid=$Apache::inputtags::part;
1444: my $id=&Apache::response::start_response($parstack,$safeeval);
1445: # Internal ID to mark the applet and its coordinates
1446: my $internalid = $partid.'_'.$id;
1447: # Previous answer
1448: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
1449:
1450: # Parameters of <functionplotresponse>
1451: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
1452: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1453: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1454: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1455: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
1456: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1457: if ($target eq 'edit') {
1458: $result.=&Apache::edit::start_table($token)
1459: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
1460: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1461: .&Apache::edit::deletelist($target,$token).' '
1462: .&Apache::edit::insertlist($target,$token).' '
1463: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
1464: .'</span></td>'
1465: ."<td> "
1466: .&Apache::edit::end_row()
1467: .&Apache::edit::start_spanning_row()
1468: ."\n";
1469: $result.=&Apache::edit::text_arg('Width (pixels):','width',
1470: $token,'6').' '.
1471: &Apache::edit::text_arg('Height (pixels):','height',
1472: $token,'6').'<br />'.
1473: &Apache::edit::text_arg('Label x-axis:','xlabel',
1474: $token,'6').' '.
1475: &Apache::edit::text_arg('Minimum x-value:','xmin',
1476: $token,'4').' '.
1477: &Apache::edit::text_arg('Maximum x-value:','xmax',
1478: $token,'4').' '.
1479: &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1480: ['yes','no'],$token).'<br />'.
1481: &Apache::edit::text_arg('Label y-axis:','ylabel',
1482: $token,'6').' '.
1483: &Apache::edit::text_arg('Minimum y-value:','ymin',
1484: $token,'4').' '.
1485: &Apache::edit::text_arg('Maximum y-value:','ymax',
1486: $token,'4').' '.
1487: &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1488: ['yes','no'],$token).'<br />'.
1489: &Apache::edit::select_arg('Grid visible:','gridvisible',
1490: ['yes','no'],$token).'<br />'.
1491: &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
1492: 'answerdisplay',$token,'50').
1493: &Apache::edit::end_row().&Apache::edit::start_spanning_row();
1494: } elsif ($target eq 'modified') {
1495: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1496: $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax',
1497: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
1498: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1499:
1500: } elsif ($target eq 'meta') {
1501: $result=&Apache::response::meta_package_write('functionplotresponse');
1502: } elsif (($target eq 'answer') &&
1503: ($env{'form.answer_output_mode'} ne 'tex') &&
1504: ($Apache::lonhomework::viewgrades == 'F')) {
1505: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
1506: $uname =~s/\W//g;
1507: $udom =~s/\W//g;
1508: my $function_name =
1509: join('_','LONCAPA_scriptvars',$uname,$udom,
1510: $env{'form.counter'},$Apache::lonxml::curdepth);
1511: &Apache::lonxml::add_script_result(
1512: &Apache::loncommon::modal_adhoc_window($function_name,700,500,
1513: '<pre style="background-color:#ffffff;">'.$Apache::functionplotresponse::ruleslog.'</pre>',
1514: &mt('Rules Log'))."<br />");
1515: }
1516: return $result;
1517: }
1518:
1519: sub compare_rel {
1520: my ($relationship,$value,$realval,$tol)=@_;
1521: # is the real value undefined?
1522: unless (defined($realval)) {
1523: # the real value is not defined
1524: if ($relationship eq 'eq') {
1525: if ($value eq 'undef') {
1526: return 1;
1527: } else {
1528: return 0;
1529: }
1530: } elsif ($relationship eq 'ne') {
1531: if ($value eq 'undef') {
1532: return 0;
1533: } else {
1534: return 1;
1535: }
1536: } else {
1537: return 0;
1538: }
1539: }
1540:
1541: # is the expected value undefined?
1542: if ($value eq 'undef') {
1543: # but by now we know that the real value is defined
1544: return 0;
1545: }
1546:
1547: # both are defined.
1548: if ($relationship eq 'gt') {
1549: return ($realval>$value);
1550: } elsif ($relationship eq 'ge') {
1551: return ($realval>$value-$tol);
1552: } elsif ($relationship eq 'lt') {
1553: return ($realval<$value);
1554: } elsif ($relationship eq 'le') {
1555: return ($realval<$value+$tol);
1556: } elsif ($relationship eq 'ne') {
1557: return (abs($value-$realval)>$tol);
1558: } else {
1559: return (abs($value-$realval)<$tol);
1560: }
1561: return 0;
1562: }
1563:
1564: sub addlog {
1565: my ($text)=@_;
1566: $text=~s/\'/\\\'/g;
1567: $Apache::functionplotresponse::ruleslog.=$text.'<br />';
1568: }
1569:
1570: sub actualval {
1571: my ($i,$xmin,$xmax)=@_;
1572: return $xmin+$i/400.*($xmax-$xmin);
1573: }
1574:
1575: sub fpr_val {
1576: my ($arg)=@_;
1577: return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
1578: $Apache::functionplotresponse::fpr_xmin,
1579: $Apache::functionplotresponse::fpr_xmax);
1580: }
1581:
1582: sub fpr_f {
1583: my ($arg)=@_;
1584: return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
1585: $Apache::functionplotresponse::fpr_xmax,
1586: $arg)];
1587: }
1588:
1589: sub fpr_dfdx {
1590: my ($arg)=@_;
1591: return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
1592: $Apache::functionplotresponse::fpr_xmax,
1593: $arg)];
1594: }
1595:
1596: sub fpr_d2fdx2 {
1597: my ($arg)=@_;
1598: return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
1599: $Apache::functionplotresponse::fpr_xmax,
1600: $arg)];
1601: }
1602:
1603: sub fpr_vectorcoords {
1604: my ($arg)=@_;
1605: $arg=~s/\W//gs;
1606: $arg=ucfirst($arg);
1607: my $id=$Apache::inputtags::response[-1];
1608: my $partid=$Apache::inputtags::part;
1609: my $internalid = $partid.'_'.$id;
1610: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'},
1611: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'},
1612: $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'},
1613: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'});
1614: }
1615:
1616: sub fpr_objectcoords {
1617: my ($arg)=@_;
1618: $arg=~s/\W//gs;
1619: $arg=ucfirst($arg);
1620: my $id=$Apache::inputtags::response[-1];
1621: my $partid=$Apache::inputtags::part;
1622: my $internalid = $partid.'_'.$id;
1623: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'},
1624: $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'});
1625: }
1626:
1627: sub fpr_vectorlength {
1628: my ($arg)=@_;
1629: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
1630: return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys));
1631: }
1632:
1633: sub fpr_vectorangle {
1634: my ($arg)=@_;
1635: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
1636: my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs));
1637: if ($angle<0) { $angle=360+$angle; }
1638: return $angle;
1639: }
1640:
1641: sub vectorcoords {
1642: my ($id,$label)=@_;
1643: return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'},
1644: $env{'form.HWVAL_'.$id.'_'.$label.'End_x'},
1645: $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'},
1646: $env{'form.HWVAL_'.$id.'_'.$label.'End_y'});
1647: }
1648:
1649: sub objectcoords {
1650: my ($id,$label)=@_;
1651: return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'},
1652: $env{'form.HWVAL_'.$id.'_'.$label.'_y'});
1653: }
1654:
1655: sub attached {
1656: my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_;
1657: my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector);
1658: my $tolx=($xmax-$xmin)/100.;
1659: my $toly=($ymax-$ymin)/100.;
1660: my $tail=0;
1661: my $tip=0;
1662: foreach my $obj (split(/\s*\,\s*/,$objects)) {
1663: $obj=~s/\W//g;
1664: unless ($obj) { next; }
1665: $obj=ucfirst($obj);
1666: my ($xo,$yo)=&objectcoords($id,$obj);
1667: &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)");
1668: if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) {
1669: $tail=1;
1670: &addlog("Attached tail: $obj");
1671: }
1672: if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) {
1673: $tip=1;
1674: &addlog("Attached tip: $obj");
1675: }
1676: }
1677: &addlog("Result tail:$tail tip:$tip");
1678: return($tail,$tip);
1679: }
1680:
1681:
1682: sub vectorangle {
1683: my ($x,$y)=@_;
1684: my $angle=57.2957795*atan2($y,$x);
1685: if ($angle<0) { $angle=360+$angle; }
1686: return $angle;
1687: }
1688:
1689: sub vectorlength {
1690: my ($x,$y)=@_;
1691: return sqrt($x*$x+$y*$y);
1692: }
1693:
1694: sub relvector {
1695: my ($xs,$xe,$ys,$ye)=@_;
1696: return ($xe-$xs,$ye-$ys);
1697: }
1698:
1699: sub plotvectorlength {
1700: return &vectorlength(&relvector(&vectorcoords(@_)));
1701: }
1702:
1703: sub plotvectorangle {
1704: return &vectorangle(&relvector(&vectorcoords(@_)));
1705: }
1706:
1707:
1708: #
1709: # Evaluate a functionplotvectorrule
1710: #
1711:
1712: sub functionplotvectorrulecheck {
1713: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1714: &addlog("=================");
1715: my ($label,$type)=split(/\:/,$rule);
1716: if ($type eq 'vector') {
1717: return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
1718: } elsif ($type eq 'sum') {
1719: return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
1720: } elsif ($type eq 'custom') {
1721: return &customcheck($rule,$safeeval);
1722: }
1723: }
1724:
1725: sub vectorcheck {
1726: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1727: my ($label,$type,$id,$vector,
1728: $attachpoint,$notattachpoint,
1729: $tailpoint,$tippoint,$nottailpoint,$nottippoint,
1730: $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
1731: &addlog("Vector Rule $label for vector ".$vector);
1732: if ($length ne '') {
1733: &addlog("Checking for length $length with error $lengtherror");
1734: $length=&Apache::run::run($length,$safeeval);
1735: &addlog("Length evaluated to $length");
1736: my $thislength=&plotvectorlength($id,$vector);
1737: &addlog("Found length $thislength");
1738: if (abs($thislength-$length)>$lengtherror) {
1739: &setfailed($label);
1740: return 0;
1741: }
1742: }
1743: if ($angle ne '') {
1744: &addlog("Checking for angle $angle with error $angleerror");
1745: $angle=&Apache::run::run($angle,$safeeval);
1746: &addlog("Angle evaluated to $angle");
1747: my $thisangle=&plotvectorangle($id,$vector);
1748: &addlog("Found angle $thisangle");
1749: my $anglediff=abs($thisangle-$angle);
1750: &addlog("Angle difference: $anglediff");
1751: if ($anglediff>360.-$anglediff) {
1752: $anglediff=360.-$anglediff;
1753: }
1754: &addlog("Smallest angle difference: $anglediff");
1755: if ($anglediff>$angleerror) {
1756: &setfailed($label);
1757: return 0;
1758: }
1759: }
1760: if ($attachpoint ne '') {
1761: &addlog("Checking attached: ".$attachpoint);
1762: my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax);
1763: unless ($tail || $tip) {
1764: &setfailed($label);
1765: return 0;
1766: }
1767: }
1768: if ($notattachpoint ne '') {
1769: &addlog("Checking not attached: ".$notattachpoint);
1770: my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax);
1771: if ($tail || $tip) {
1772: &setfailed($label);
1773: return 0;
1774: }
1775: }
1776: if ($tailpoint ne '') {
1777: &addlog("Checking tail: ".$tailpoint);
1778: my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax);
1779: unless ($tail) {
1780: &setfailed($label);
1781: return 0;
1782: }
1783: }
1784: if ($nottailpoint ne '') {
1785: &addlog("Checking not tail: ".$nottailpoint);
1786: my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax);
1787: if ($tail) {
1788: &setfailed($label);
1789: return 0;
1790: }
1791: }
1792: if ($tippoint ne '') {
1793: &addlog("Checking tip: ".$tippoint);
1794: my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax);
1795: unless ($tip) {
1796: &setfailed($label);
1797: return 0;
1798: }
1799: }
1800: if ($nottippoint ne '') {
1801: &addlog("Checking not tip: ".$nottippoint);
1802: my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax);
1803: if ($tip) {
1804: &setfailed($label);
1805: return 0;
1806: }
1807: }
1808:
1809: &addlog("Rule $label passed.");
1810: return 1;
1811: }
1812:
1813: sub sumcheck {
1814: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1815: my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
1816: &addlog("Vector Sum Rule $label for vectors ".$vectors);
1817: my $sumx=0;
1818: my $sumy=0;
1819: foreach my $sv (split(/\s*\,\s*/,$vectors)) {
1820: my ($rx,$ry)=&relvector(&vectorcoords($id,$sv));
1821: $sumx+=$rx;
1822: $sumy+=$ry;
1823: }
1824: &addlog("Sum vector ($sumx,$sumy)");
1825: if ($length ne '') {
1826: &addlog("Checking length $length with error $lengtherror");
1827: $length=&Apache::run::run($length,$safeeval);
1828: &addlog("Evaluated to $length");
1829: my $thislength=&vectorlength($sumx,$sumy);
1830: &addlog("Actual length $thislength");
1831: if (abs($length-$thislength)>$lengtherror) {
1832: &setfailed($label);
1833: return 0;
1834: }
1835: }
1836: if ($angle ne '') {
1837: &addlog("Checking angle $angle with error $angleerror");
1838: $angle=&Apache::run::run($angle,$safeeval);
1839: &addlog("Evaluated to $angle");
1840: my $thisangle=&vectorangle($sumx,$sumy);
1841: &addlog("Actual angle $thisangle");
1842: my $anglediff=abs($thisangle-$angle);
1843: &addlog("Angle difference: $anglediff");
1844: if ($anglediff>360.-$anglediff) {
1845: $anglediff=360.-$anglediff;
1846: }
1847: &addlog("Smallest angle difference: $anglediff");
1848: if ($anglediff>$angleerror) {
1849: &setfailed($label);
1850: return 0;
1851: }
1852: }
1853: &addlog("Rule $label passed.");
1854: return 1;
1855: }
1856:
1857: sub customcheck {
1858: my ($rule,$safeeval)=@_;
1859: my ($label,$type,$prg)=split(/\:/,$rule);
1860: &addlog("Custom Rule ".$label);
1861: my $result=&Apache::run::run(&unescape($prg),$safeeval);
1862: &addlog("Algorithm returned $result");
1863: unless ($result) {
1864: &setfailed($label);
1865: return 0;
1866: }
1867: &addlog("Rule $label passed.");
1868: return 1;
1869: }
1870:
1871: #
1872: # Evaluate a functionplotrule
1873: #
1874:
1875: sub functionplotrulecheck {
1876: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1877:
1878: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
1879: =split(/\:/,$rule);
1880: $percent=($percent>0?$percent:5);
1881: &addlog("=================");
1882: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
1883: #
1884: # Evaluate the value
1885: #
1886: if (($value=~/\D/) && ($value ne 'undef')) {
1887: $Apache::functionplotresponse::fpr_xmin=$xmin;
1888: $Apache::functionplotresponse::fpr_xmax=$xmax;
1889: $value=&Apache::run::run($value,$safeeval);
1890: &addlog("Value evaluated to $value");
1891: }
1892:
1893: #
1894: # Minimum and maximum lengths of the interval
1895: #
1896: if ((defined($minimumlength)) || (defined($maximumlength))) {
1897: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
1898: }
1899: my $li=0;
1900: my $lh=400;
1901:
1902: # Special case: the upper boundary was not defined
1903: # and needs to be set to the value where
1904: # the condition is not true anymore => set flag
1905:
1906: my $findupper=0;
1907: if (($xfinal eq '')
1908: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
1909: && ($xfinallabel)) {
1910: $findupper=1;
1911: }
1912:
1913: # if a hard value is set for the boundaries, it overrides the label
1914: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
1915: $li=&array_index($xmin,$xmax,$xinitial);
1916: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
1917: }
1918: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
1919: $lh=&array_index($xmin,$xmax,$xfinal);
1920: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
1921: }
1922: # if the label is defined, use it
1923: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
1924: &addlog("Using lower label $xinitiallabel");
1925: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
1926: } else {
1927: $li=&array_index($xmin,$xmax,$xinitial);
1928: }
1929: unless ($findupper) {
1930: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
1931: &addlog("Using upper label $xfinallabel");
1932: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
1933: } else {
1934: $lh=&array_index($xmin,$xmax,$xfinal);
1935: }
1936: }
1937: # Basic sanity checks
1938: if ($li<0) { $li=0; }
1939: if ($lh>400) { $lh=400; }
1940: if (($li>$lh) || (!defined($lh))) {
1941: $lh=$li;
1942: }
1943:
1944: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
1945: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
1946: if ($findupper) {
1947: &addlog("Looking for label $xfinallabel");
1948: }
1949: my $tol=$percent*($ymax-$ymin)/100;
1950: if ($xmax>$xmin) {
1951: if ($derivative==2) {
1952: $tol=4.*$tol/($xmax-$xmin);
1953: } elsif ($derivative==1) {
1954: $tol=2.*$tol/($xmax-$xmin);
1955: } elsif ($derivative==-1) {
1956: $tol=$tol*($xmax-$xmin)/2.;
1957: }
1958: }
1959: my $integral=0;
1960: my $binwidth=($xmax-$xmin)/400.;
1961: if (($derivative<0) && (!$findupper)) {
1962: # definite integral, calculate over whole length
1963: &addlog("Calculating definite integral");
1964: for (my $i=$li; $i<=$lh; $i++) {
1965: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1966: }
1967: unless (&compare_rel($relationship,$value,$integral,$tol)) {
1968: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
1969: &addlog("Rule $label failed.");
1970: &setfailed($label);
1971: return 0;
1972: }
1973: } else {
1974: for (my $i=$li; $i<=$lh; $i++) {
1975: my $val;
1976: if ($derivative==2) {
1977: $val=$Apache::functionplotresponse::d2funcdx2[$i];
1978: } elsif ($derivative==1) {
1979: $val=$Apache::functionplotresponse::dfuncdx[$i];
1980: } elsif ($derivative==-1) {
1981: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1982: $val=$integral;
1983: } else {
1984: $val=$Apache::functionplotresponse::func[$i];
1985: }
1986: unless (&compare_rel($relationship,$value,$val,$tol)) {
1987: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1988: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1989: if (($findupper) && ($i>$li)) {
1990: # Check lengths
1991: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1992: # Successfully found a new label, set it
1993: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1994: &addlog("Rule $label passed, setting label $xfinallabel");
1995: return 1;
1996: } else {
1997: &addlog("Rule $label failed.");
1998: &setfailed($label);
1999: return 0;
2000: }
2001: }
2002: }
2003: }
2004: # Corner case where this makes sense: using start or stop as defined labels
2005: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
2006: &addlog("Rule $label passed.");
2007: return 1;
2008: }
2009:
2010: #
2011: # check for minimum and maximum lengths
2012: #
2013:
2014: sub checklength {
2015: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
2016: unless (($minimumlength) || ($maximumlength)) { return 1; }
2017: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
2018: if ($minimumlength) {
2019: if ($length<$minimumlength) {
2020: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
2021: &setfailed($label);
2022: return 0;
2023: }
2024: }
2025: if ($maximumlength) {
2026: if ($length>$maximumlength) {
2027: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
2028: &setfailed($label);
2029: return 0;
2030: }
2031: }
2032: return 1;
2033: }
2034:
2035: sub setfailed {
2036: my ($hintlabel)=@_;
2037: $hintlabel=~s/^R//;
2038: push(@Apache::functionplotresponse::failedrules,$hintlabel);
2039: &addlog("Set hint condition $hintlabel");
2040: }
2041:
2042: sub start_functionplotruleset {
2043: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
2044: if ($target eq 'edit') {
2045: return &Apache::edit::start_table($token).
2046: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
2047: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
2048: .&Apache::edit::deletelist($target,$token).' '.
2049: &Apache::edit::insertlist($target,$token).' '
2050: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
2051: .'</span></td>'
2052: ."<td> "
2053: .&Apache::edit::end_row()
2054: .&Apache::edit::start_spanning_row()
2055: ."\n";
2056: }
2057: }
2058:
2059: sub end_functionplotruleset {
2060: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
2061: my $id=$Apache::inputtags::response[-1];
2062: my $partid=$Apache::inputtags::part;
2063: my $internalid = $partid.'_'.$id;
2064:
2065: if ($target eq 'edit' ) {
2066: return &Apache::edit::end_table();
2067: } elsif ($target eq 'grade'
2068: && &Apache::response::submitted()
2069: && $Apache::lonhomework::type ne 'exam') {
2070: #
2071: # Actually grade
2072: #
2073: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2074:
2075: my $ad='';
2076: undef %Apache::functionplotresponse::functionplotrulelabels;
2077: $Apache::functionplotresponse::ruleslog='';
2078: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
2079: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
2080: if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
2081: $ad='NOT_FUNCTION';
2082: } else {
2083: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
2084: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
2085: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
2086: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
2087:
2088: # We have a function that we can actually grade, go through the spline rules.
2089: foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
2090: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
2091: $ad='INCORRECT';
2092: last;
2093: }
2094: }
2095: # And now go through the vector rules
2096: foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) {
2097: unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
2098: $ad='INCORRECT';
2099: last;
2100: }
2101: }
2102: # If it's not wrong, it's correct
2103: unless ($ad) { $ad='EXACT_ANS' };
2104: }
2105: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
2106: &addlog("Assigned award detail: $ad");
2107: # Store for later to be assigned at end_functionplotresponse
2108: $Apache::functionplotresponse::awarddetail=$ad;
2109: }
2110: }
2111:
2112:
2113: sub end_functionplotresponse {
2114: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
2115: &Apache::response::end_response;
2116:
2117: my $result;
2118: my $id=$Apache::inputtags::response[-1];
2119: my $partid=$Apache::inputtags::part;
2120: my $internalid = $partid.'_'.$id;
2121:
2122: if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
2123: if ($target eq 'grade'
2124: && &Apache::response::submitted()
2125: && $Apache::lonhomework::type eq 'exam') {
2126:
2127: &Apache::response::scored_response($partid,$id);
2128:
2129: } elsif ($target eq 'grade'
2130: && &Apache::response::submitted()
2131: && $Apache::lonhomework::type ne 'exam') {
2132: my ($response,%coords)=&get_answer_from_form_fields($internalid);
2133: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
2134: my %previous=&Apache::response::check_for_previous($response,$partid,$id);
2135: #
2136: # Assign grade
2137: #
2138: my $ad=$Apache::functionplotresponse::awarddetail;
2139: #
2140: # Store grading info
2141: #
2142: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
2143: &Apache::response::handle_previous(\%previous,$ad);
2144: } elsif ($target eq 'web') {
2145: undef @Apache::functionplotresponse::failedrules;
2146: }
2147: return $result;
2148: }
2149:
2150: sub end_functionplotelements {
2151: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
2152: my $result='';
2153: my $id=$Apache::inputtags::response[-1];
2154: my $partid=$Apache::inputtags::part;
2155: my $internalid = $partid.'_'.$id;
2156: if ($target eq 'edit' ) {
2157: $result=&Apache::edit::end_table();
2158: } elsif ($target eq 'web') {
2159: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2160:
2161: # Are we in show answer mode?
2162: my $showanswer=&Apache::response::show_answer();
2163: if ($showanswer) {
2164: # Render answerdisplay
2165: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
2166: if ($answerdisplay=~/\S/s) {
2167: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
2168: my @components=split(/\s*\:\s*/,$plot);
2169: if ($#components<3) {
2170: # Just a simple plot
2171: my ($func,$xl,$xh)=@components;
2172: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
2173: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
2174: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
2175: } else {
2176: # This is a spline
2177: $result.=&answer_spline_script($internalid,@components);
2178: }
2179: }
2180: }
2181: }
2182: my $fixed=0;
2183: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
2184: # Now is the time to render all of the stored splines
2185: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
2186: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
2187: }
2188: # close the init script
2189: $result.=&end_init_script();
2190: # register all splines in this response
2191: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
2192: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
2193: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
2194: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
2195: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
2196: }
2197: # generate the input fields
2198: $result.=$Apache::functionplotresponse::inputfields;
2199: # actually start the <applet>-tag
2200: $result.=&geogebra_startcode($internalid,
2201: &Apache::lonxml::get_param('width',$parstack,$safeeval,-2),
2202: &Apache::lonxml::get_param('height',$parstack,$safeeval,-2));
2203: # set default parameters
2204: $result.=&geogebra_default_parameters($internalid);
2205: # close the <applet>-tag
2206: $result.=&geogebra_endcode();
2207: }
2208: return $result;
2209: }
2210:
2211: sub boundaries {
2212: my ($parstack,$safeeval,$level)=@_;
2213: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
2214: $xmin=(defined($xmin)?$xmin:-10);
2215: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
2216: $xmax=(defined($xmax)?$xmax:10);
2217: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
2218: $ymin=(defined($ymin)?$ymin:-10);
2219: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
2220: $ymax=(defined($ymax)?$ymax:10);
2221: if ($xmax<=$xmin) {
2222: $xmax=$xmin+20;
2223: }
2224: if ($ymax<=$ymin) {
2225: $ymax=$ymin+20;
2226: }
2227: return ($xmin,$xmax,$ymin,$ymax);
2228: }
2229:
2230: sub start_functionplotelements {
2231: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
2232: my $result='';
2233: my $id=$Apache::inputtags::response[-1];
2234: my $partid=$Apache::inputtags::part;
2235: my $internalid = $partid.'_'.$id;
2236:
2237: if ($target eq 'edit') {
2238: return &Apache::edit::start_table($token).
2239: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
2240: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
2241: .&Apache::edit::deletelist($target,$token).' '.
2242: &Apache::edit::insertlist($target,$token).' '
2243: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
2244: .'</span></td>'
2245: ."<td> "
2246: .&Apache::edit::end_row()
2247: .&Apache::edit::start_spanning_row()
2248: ."\n";
2249: } elsif ($target eq 'web') {
2250: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2251: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2252: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2253: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2254: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
2255: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
2256:
2257:
2258: # paste in the update routine to receive stuff back from the applet
2259: $result.=&update_script($internalid);
2260: # start the initscript for this applet
2261: $result.=&start_init_script($internalid);
2262: # put the axis commands inside
2263: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
2264: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
2265: # init script is left open
2266: }
2267: return $result;
2268: }
2269:
2270: 1;
2271:
2272: __END__
2273:
2274: =head1 NAME
2275:
2276: Apache::functionplotresponse.pm;
2277:
2278: =head1 SYNOPSIS
2279:
2280: Handles tags associated with accepting function plots.
2281:
2282: This is part of the LearningOnline Network with CAPA project
2283: described at http://www.lon-capa.org.
2284:
2285: =head1 HANDLER SUBROUTINE
2286:
2287: start_functionplotresponse()
2288:
2289: =head1 OTHER SUBROUTINES
2290:
2291: =over
2292:
2293: =item end_functionplotresponse()
2294:
2295: =back
2296:
2297: =cut
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