1: # LearningOnline Network with CAPA
2: # Functionplot responses
3: #
4: # $Id: functionplotresponse.pm,v 1.97 2012/08/16 23:03:01 www Exp $
5: #
6: # Copyright Michigan State University Board of Trustees
7: #
8: # This file is part of the LearningOnline Network with CAPA (LON-CAPA).
9: #
10: # LON-CAPA is free software; you can redistribute it and/or modify
11: # it under the terms of the GNU General Public License as published by
12: # the Free Software Foundation; either version 2 of the License, or
13: # (at your option) any later version.
14: #
15: # LON-CAPA is distributed in the hope that it will be useful,
16: # but WITHOUT ANY WARRANTY; without even the implied warranty of
17: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
18: # GNU General Public License for more details.
19: #
20: # You should have received a copy of the GNU General Public License
21: # along with LON-CAPA; if not, write to the Free Software
22: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
23: #
24: # /home/httpd/html/adm/gpl.txt
25: #
26: # http://www.lon-capa.org/
27: #
28:
29: package Apache::functionplotresponse;
30: use strict;
31: use Apache::response();
32: use Apache::lonlocal;
33: use Apache::lonnet;
34: use Apache::run;
35: 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: return 1;
53: }
54:
55: # Routines to start the applet (Java) or the HTML5/JavaScript
56: #
57: # There can be a number of applets on a page, each called ggbApplet_$id,
58: # where $id is the "_"-concatenated part and responseid
59: #
60:
61: sub geogebra_startcode {
62: my ($id,$width,$height)=@_;
63: if (&useHTML5()) {
64: return &html5_geogebra_startcode(@_);
65: } else {
66: return &java_geogebra_startcode(@_).
67: &java_geogebra_code_param();
68: }
69: }
70:
71: sub geogebra_endcode {
72: if (&useHTML5()) {
73: return '';
74: } else {
75: return &java_geogebra_endcode();
76: }
77: }
78:
79: sub geogebra_default_parameters {
80: my ($id)=@_;
81: if (&useHTML5()) {
82: return '';
83: } else {
84: return &java_geogebra_default_parameters($id);
85: }
86: }
87: # === Java code
88:
89: sub java_geogebra_startcode {
90: my ($id,$width,$height)=@_;
91: $width=int(1.*$width);
92: $height=int(1.*$height);
93: unless ($width) { $width=700; }
94: unless ($height) { $height=400; }
95: return (<<ENDSTARTCODE);
96: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
97: codebase="/adm/geogebra/" width="$width" height="$height" MAYSCRIPT>
98: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
99: ENDSTARTCODE
100: }
101:
102: sub java_geogebra_endcode {
103: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
104: }
105:
106: sub java_geogebra_code_param {
107: return '<param name="ggbBase64" value="'.&geogebra_internal_program().'" />';
108: }
109:
110: # === HTML5 code
111:
112: sub html5_geogebra_startcode {
113: my ($id,$width,$height)=@_;
114: $width=int(1.*$width);
115: $height=int(1.*$height);
116: unless ($width) { $width=700; }
117: unless ($height) { $height=400; }
118: my $code=&geogebra_internal_program();
119: return (<<ENDSTARTCODE);
120: <article class="geogebraweb" data-param-enableLabelDrags="false" data-param-enableShiftDragZoom="false"
121: data-param-width="$width" data-param-height="$height" data-param-id="ggbApplet_$id"
122: data-param-ggbbase64="$code"></article>
123: ENDSTARTCODE
124: }
125:
126: #
127: # This is the internal GeoGebra bytecode which defines the spline functions
128: #
129: sub geogebra_internal_program {
130: return
131: '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';
132: }
133:
134: #
135: # The standard set of parameters inside <applet>
136: #
137: sub java_geogebra_default_parameters {
138: my ($id)=@_;
139: return(<<ENDDEFAULTPARAMETERS);
140: <param name="image" value="/adm/lonIcons/lonanim.gif" />
141: <param name="boxborder" value="false" />
142: <param name="centerimage" value="true" />
143: <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" />
144: <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" />
145: <param name="framePossible" value="false" />
146:
147: <param name="showResetIcon" value="false" />
148: <param name="showAnimationButton" value="false" />
149: <param name="enableRightClick" value="false" />
150: <param name="errorDialogsActive" value="true" />
151: <param name="enableLabelDrags" value="false" />
152: <param name="showMenuBar" value="false" />
153: <param name="showToolBar" value="false" />
154: <param name="showToolBarHelp" value="false" />
155: <param name="showAlgebraInput" value="false" />
156: <param name="enableShiftDragZoom" value="false" />
157: <param name="allowRescaling" value="false" />
158: <param name="enableLabelDrags" value="false" />
159: <param name="ggbOnInitParam" value="applet_$id" />
160: ENDDEFAULTPARAMETERS
161: }
162:
163: #
164: # This subroutine is called by LON-CAPA at </problem>
165: # Each applet on the page will call function ggbOnInit when it is done loading
166: # This function in turn will call the respective function registered by start_init_script
167: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
168: #
169:
170: sub init_script {
171: if ($#Apache::functionplotresponse::callscripts>=0) {
172: my $script='';
173: foreach my $id (@Apache::functionplotresponse::callscripts) {
174: $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
175: }
176: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
177: ") { setTimeout('ggbInitAll()',200) }";
178: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts));
179: my $html5init='';
180: if (&useHTML5()) {
181: $html5init=
182: '<script type="text/javascript" language="javascript" src="/adm/geogebra/html5/web/test42/web/web.nocache.js"></script>';
183: }
184: return (<<ENDGGBINIT);
185: $html5init
186: <script type="text/javascript">
187: // <![CDATA[
188: // Function that each applet will call when loaded
189: // It will pass "its" parameter
190: // Set flags for when an applet is loaded, wait till all are loaded, and then some
191: function ggbOnInit(param) {
192: $script
193: }
194: function ggbInitAll() {
195: $calls
196: }
197: // ]]>
198: </script>
199: ENDGGBINIT
200: }
201: }
202:
203: #
204: # Each Geogebra applet is supposed to call this when parameters change
205: # Changes the hidden fields on the web page
206: #
207: sub update_script {
208: my ($id)=@_;
209: return (<<ENDUPDATESCRIPT);
210: <script type="text/javascript">
211: // <![CDATA[
212: function updatePointCoordinates_$id(coordinateName) {
213: var x = document.ggbApplet_$id.getXcoord(coordinateName);
214: var y = document.ggbApplet_$id.getYcoord(coordinateName);
215: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
216: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
217: }
218: // ]]>
219: </script>
220: ENDUPDATESCRIPT
221: }
222:
223: #
224: # Register the above update-handler for a variable
225: #
226:
227: sub update_register {
228: my ($id,$variable)=@_;
229: return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
230: }
231:
232: #
233: # Set a point coordinate variable
234: #
235: sub set_point_coordinate {
236: my ($id,$variable,$x,$y,$fixed)=@_;
237: my $mult=($fixed?'a*':'');
238: # Get rid of wild exponents, make sure it's a number
239: $x=1.*$x;
240: $y=1.*$y;
241: # GeoGebra does not understand "E"
242: $x=~s/[e|E]/\*10\^/;
243: $x=~s/\+//;
244: $y=~s/[e|E]/\*10\^/;
245: $y=~s/\+//;
246: return (<<ENDSETVARIABLE);
247: document.ggbApplet_$id.evalCommand("a=1");
248: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)");
249: document.ggbApplet_$id.setLabelVisible("$variable",false);
250: ENDSETVARIABLE
251: }
252:
253: #
254: # Set a slope coordinate variable
255: #
256: sub set_slope_coordinate {
257: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_;
258: my $xvariable=$variable.'x';
259: my $yvariable=$variable.'y';
260: my $domain=$xmax-$xmin;
261: my $range=$ymax-$ymin;
262: my $xinterval=$domain/100.;
263: my $yinterval=$range/200.;
264: my $mult=($fixed?'a*':'');
265: return (<<ENDSETSVARIABLE);
266: document.ggbApplet_$id.evalCommand("a=1");
267: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]");
268: document.ggbApplet_$id.setVisible("$xvariable", false);
269: document.ggbApplet_$id.evalCommand("$xvariable=$xrel");
270: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]");
271: document.ggbApplet_$id.setVisible("$yvariable", false);
272: document.ggbApplet_$id.evalCommand("$yvariable=$yrel");
273: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))");
274: document.ggbApplet_$id.setLabelVisible("$variable", false);
275: ENDSETSVARIABLE
276: }
277:
278: #
279: # Input field name for a coordinate variable
280: #
281:
282: sub field_name {
283: my ($id,$variable,$name)=@_;
284: return "HWVAL_$id\_$variable\_$name";
285: }
286:
287: #
288: # Generate an input field for a coordinate variable
289: #
290:
291: sub generate_input_field {
292: my ($id,$variable,$x,$y)=@_;
293: $Apache::functionplotresponse::inputfields.=
294: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
295: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
296: }
297:
298: #
299: # Initialize a new point coordinate variable at set a listener on it
300: #
301: sub new_point_coordinate {
302: my ($id,$variable,$x,$y,$fixed)=@_;
303: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
304: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
305: }
306: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
307: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
308: }
309: &generate_input_field($id,$variable,$x,$y);
310: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable);
311: }
312:
313: #
314: # Initialize a new slope coordinate variable at set a listener on it
315: #
316: sub new_slope_coordinate {
317: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
318: #
319: # $variable: name of the slope point
320: # $x, $y: coordinates of the slope point
321: # $pointname: name of the associated point point
322: # $xp $yp: coordinates of the point point
323: #
324: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
325: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
326: }
327: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
328: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
329: }
330: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) {
331: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')};
332: }
333: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) {
334: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')};
335: }
336:
337: &generate_input_field($id,$variable,$x,$y);
338: my $xrel=$x-$xp;
339: my $yrel=$y-$yp;
340: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable);
341: }
342:
343: #
344: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
345: # It then starts the right headers
346: #
347: sub start_init_script {
348: my ($id)=@_;
349: # Add id to the list of ggbInit_$id functions that need to be called
350: push(@Apache::functionplotresponse::callscripts,$id);
351: # ... and open this function
352: return (<<ENDSTARTINIT);
353: <script type="text/javascript">
354: // <![CDATA[
355: // variable that will eventually be passed back to the server
356: var coordinateMap_$id = [];
357: // flag for not loaded yet
358: var loaded_$id=false;
359: // Init-function for applet
360: function ggbInit_$id() {
361: ENDSTARTINIT
362: }
363:
364: #
365: # This sets the axes inside ggbInit_$id
366: #
367:
368: sub axes_script {
369: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
370: return (<<ENDAXESSCRIPT);
371: // changes (xmin, xmax, ymin, ymax)
372: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
373:
374: // makes the (x,y) axis (in)visible
375: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
376: // makes the grid (in)visible
377: document.ggbApplet_$id.setGridVisible($gvisible);
378: ENDAXESSCRIPT
379: }
380:
381: sub axes_label {
382: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_;
383: unless ($xlabel || $ylabel) { return ''; }
384: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
385: if ($xlabel) {
386: if (($ymin<0) && ($ymax>0)) {
387: $return.=(<<ENDXAXISLABELSCRIPT);
388: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
389: document.ggbApplet_$id.setVisible("Xlabel",false);
390: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
391: ENDXAXISLABELSCRIPT
392: } else {
393: $return.=(<<ENDXOFFAXISLABEL);
394: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]");
395: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]");
396: ENDXOFFAXISLABEL
397: }
398: }
399: if ($ylabel) {
400: if (($xmin<0) && ($xmax>0)) {
401: $return.=(<<ENDYAXISLABELSCRIPT);
402: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
403: document.ggbApplet_$id.setVisible("Ylabel",false);
404: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
405: ENDYAXISLABELSCRIPT
406: } else {
407: $return.=(<<ENDYOFFAXISLABEL);
408: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]");
409: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]");
410: ENDYOFFAXISLABEL
411: }
412: }
413: return $return;
414: }
415:
416: #
417: # Subroutine to produce background and answer plots
418: #
419:
420: sub plot_script {
421: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_;
422: $label=~s/\W//g;
423: if (($label) && ($label!~/^[A-Za-z]/)) {
424: $label='C'.$label;
425: }
426: my $visible=0;
427: if ($label) {
428: $visible="1";
429: } else {
430: $Apache::functionplotresponse::counter++;
431: $label='C'.$Apache::functionplotresponse::counter;
432: }
433: my $rc=0;
434: my $gc=0;
435: my $bc=0;
436: if ($color) {
437: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/);
438: $rc=hex($rh);
439: $gc=hex($gh);
440: $bc=hex($bh);
441: }
442: if ($fixed) {
443: return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n".
444: ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n").
445: ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":'').
446: ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":'');
447: } else {
448: return "document.ggbApplet_$id.evalCommand('y=$function');\n";
449: }
450: }
451:
452: #
453: # Subroutine to produce objects
454: #
455:
456: sub plotobject_script {
457: my ($id,$label,$x,$y)=@_;
458: unless ($label) {
459: $Apache::functionplotresponse::counter++;
460: $label='O'.$Apache::functionplotresponse::counter;
461: }
462: &generate_input_field($id,$label,$x,$y);
463: return "document.ggbApplet_$id.evalCommand('a=1');\n".
464: "document.ggbApplet_$id.setVisible('a', false);\n".
465: "document.ggbApplet_$id.setLabelVisible('a', false);\n".
466: "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n".
467: "document.ggbApplet_$id.setVisible('$label', true);\n".
468: "document.ggbApplet_$id.setLabelVisible('$label', true);\n";
469: }
470:
471: #
472: # Subroutine to produce vectors
473: #
474:
475: sub plotvector_script {
476: my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax,$fixed)=@_;
477: unless ($label) {
478: $Apache::functionplotresponse::counter++;
479: $label='V'.$Apache::functionplotresponse::counter;
480: }
481: my $startlabel=$label.'Start';
482: my $endlabel=$label.'End';
483: my $pointlabel=$label.'Point';
484: my $pointx=2.*($xmax-$xmin)+$xmax;
485: my $anglelabel=$label.'Angle';
486: return
487: &new_point_coordinate($id,$startlabel,$xs,$ys,$fixed).
488: &new_point_coordinate($id,$endlabel,$xe,$ye,$fixed).
489: (<<ENDVECTOR);
490: document.ggbApplet_$id.evalCommand("$label=Vector[$startlabel,$endlabel]");
491: document.ggbApplet_$id.setLabelVisible("$label",true);
492: document.ggbApplet_$id.setLineThickness("$label",8);
493: document.ggbApplet_$id.evalCommand("$pointlabel=($pointx,y($startlabel))");
494: document.ggbApplet_$id.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]");
495: document.ggbApplet_$id.setLabelVisible("$anglelabel",true);
496: document.ggbApplet_$id.setLabelStyle("$anglelabel",VALUE=2);
497: ENDVECTOR
498: }
499:
500: #
501: # Answer spline display
502: #
503: # points: x,y,slope_x,slope_y
504:
505: sub answer_spline_script {
506: my ($id,@points)=@_;
507: my $order=int(($#points+1)/4);
508: if ($order<2) { $order=2; }
509: if ($order>8) { $order=8; }
510: $Apache::functionplotresponse::counter++;
511: my $label='CSpline'.$Apache::functionplotresponse::counter;
512: my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'[';
513: for (my $i=0;$i<=$#points;$i+=4) {
514: $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),";
515: }
516: $output=~s/\,$//;
517: $output.=']");'."\n";
518: for (my $i=2; $i<2*$order; $i+=2) {
519: $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n";
520: }
521: for (my $i=1; $i<2*$order; $i+=2) {
522: $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n";
523: }
524:
525: return $output;
526: }
527:
528: #
529: # Subroutine that generates code for spline $label based on stored information
530: #
531:
532: sub generate_spline {
533: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_;
534: my $result='';
535: my $order=$Apache::functionplotresponse::splineorder{$label};
536: my $x=$Apache::functionplotresponse::splineinitx{$label};
537: my $y=$Apache::functionplotresponse::splineinity{$label};
538: my $sx=$Apache::functionplotresponse::splinescalex{$label};
539: my $sy=$Apache::functionplotresponse::splinescaley{$label};
540: my @coords=();
541: foreach my $i (1..$order) {
542: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed);
543: my $xp=$x;
544: $x+=$sx/(2.*($order-1));
545: push(@coords,$label.'P'.$i);
546: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed);
547: $x+=$sx/(2.*($order-1));
548: push(@coords,$label.'S'.$i);
549: }
550: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
551: return $result;
552: }
553:
554: #
555: # Object
556: #
557:
558: sub start_plotobject {
559: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
560: my $result='';
561: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
562: my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval);
563: my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval);
564: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
565: $label=~s/\W//gs;
566: $label=ucfirst($label);
567: unless ($label) { $label="NewObject"; }
568: if ($target eq 'web') {
569: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
570: unless (defined($x)) { $x=$xmin; }
571: unless (defined($y)) { $y=$ymin; }
572: $result.=&plotobject_script($internalid,$label,$x,$y);
573: } elsif ($target eq 'edit') {
574: $result=&Apache::edit::tag_start($target,$token,'Plot Object').
575: &Apache::edit::text_arg('Label on Plot:','label',
576: $token,'16').
577: &Apache::edit::text_arg('x:','x',
578: $token,'8').
579: &Apache::edit::text_arg('y:','y',
580: $token,'8').
581: &Apache::edit::end_row();
582: } elsif ($target eq 'modified') {
583: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
584: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y');
585: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
586: }
587: return $result;
588: }
589:
590: sub end_plotobject {
591: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
592: my $result='';
593: if ($target eq 'edit') {
594: $result=&Apache::edit::end_table();
595: }
596: return $result;
597: }
598:
599: #
600: # Vector
601: #
602:
603: sub start_plotvector {
604: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
605: my $result='';
606: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
607: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
608: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
609: my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval);
610: my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval);
611:
612: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
613: $label=~s/\W//gs;
614: $label=ucfirst($label);
615: unless ($label) { $label="NewVector"; }
616: if ($Apache::functionplotresponse::vectorlabels{$label}) {
617: &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label));
618: }
619: $Apache::functionplotresponse::vectorlabels{$label}=1;
620: if ($target eq 'web') {
621: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
622: unless (defined($tailx)) { $tailx=$xmin; }
623: unless (defined($taily)) { $taily=$ymin; }
624: unless (defined($tipx)) { $tipx=$xmin; }
625: unless (defined($tipy)) { $tipy=$ymin; }
626: my $fixed=0;
627: if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; }
628: $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed);
629: } elsif ($target eq 'edit') {
630: $result=&Apache::edit::tag_start($target,$token,'Plot Vector').
631: &Apache::edit::text_arg('Label on Plot:','label',
632: $token,'16').
633: &Apache::edit::text_arg('Tail x:','tailx',
634: $token,'8').
635: &Apache::edit::text_arg('Tail y:','taily',
636: $token,'8').
637: &Apache::edit::text_arg('Tip x:','tipx',
638: $token,'8').
639: &Apache::edit::text_arg('Tip y:','tipy',
640: $token,'8').
641:
642: &Apache::edit::end_row();
643: } elsif ($target eq 'modified') {
644: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
645: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy');
646: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
647: }
648: return $result;
649: }
650:
651: sub end_plotvector {
652: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
653: my $result='';
654: if ($target eq 'edit') {
655: $result=&Apache::edit::end_table();
656: }
657: return $result;
658: }
659:
660:
661: #
662: # Vector sum - have GeoGebra draw a sum of specified vectors to help students draw
663: #
664:
665: sub start_drawvectorsum {
666: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
667: my $result='';
668: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
669: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval);
670: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval);
671: my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval);
672: my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval);
673: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
674: $label=~s/\W//gs;
675: $label=ucfirst($label);
676: unless ($label) { $label="NewVector"; }
677: if ($target eq 'web') {
678: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
679: unless (defined($tailx)) { $tailx=$xmin; }
680: unless (defined($taily)) { $taily=$ymin; }
681: unless (defined($vectorlist)) { $vectorlist=''; }
682: my @vectors=split(/\,/,$vectorlist);
683: if ($#vectors>0) {
684: my @sumx=();
685: my @sumy=();
686: foreach my $thisvector (@vectors) {
687: $thisvector=~s/\W//gs;
688: $thisvector=ucfirst($thisvector);
689: unless ($thisvector) { next; }
690: unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) {
691: &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector));
692: next;
693: }
694: my $vectorx=$thisvector.'X';
695: my $vectory=$thisvector.'Y';
696: $result.=(<<ENDADDVEC);
697: document.ggbApplet_$internalid.evalCommand("$vectorx=x($thisvector)");
698: document.ggbApplet_$internalid.evalCommand("$vectory=y($thisvector)");
699: document.ggbApplet_$internalid.evalCommand("Include$thisvector$label=Checkbox[]");
700: ENDADDVEC
701: push(@sumx,"If[Include$thisvector$label,$vectorx,0]");
702: push(@sumy,"If[Include$thisvector$label,$vectory,0]");
703: }
704: $result.="document.ggbApplet_$internalid.evalCommand(".'"'."xTot$label=".join('+',@sumx).'");'."\n";
705: $result.="document.ggbApplet_$internalid.evalCommand(".'"'."yTot$label=".join('+',@sumy).'");'."\n";
706: my $show=0;
707: if ($showvalue=~/yes/i) {
708: $show=1;
709: }
710: $result.=(<<ENDMAKEVECTOR);
711: document.ggbApplet_$internalid.evalCommand("$label=Vector[($tailx,$taily),($tailx+xTot$label,$taily+yTot$label)]");
712: document.ggbApplet_$internalid.setLabelVisible("$label",true);
713: document.ggbApplet_$internalid.setLineThickness("$label",8);
714: document.ggbApplet_$internalid.setColor("$label",255,0,0);
715: document.ggbApplet_$internalid.setLabelStyle("$label",VALUE=$show);
716: ENDMAKEVECTOR
717: }
718: } elsif ($target eq 'edit') {
719: $result=&Apache::edit::tag_start($target,$token,'Draw Vector Sum').
720: &Apache::edit::text_arg('Label on Plot:','label',
721: $token,'16').
722: &Apache::edit::text_arg('Tail x:','tailx',
723: $token,'8').
724: &Apache::edit::text_arg('Tail y:','taily',
725: $token,'8').
726: &Apache::edit::select_arg('Show Value:','showvalue',
727: ['yes','no'],$token).'<br />'.
728: &Apache::edit::text_arg('Vector List:','vectorlist',
729: $token,'40').
730: &Apache::edit::end_row();
731: } elsif ($target eq 'modified') {
732: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')});
733: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist');
734: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
735: }
736: return $result;
737: }
738:
739:
740: sub end_drawvectorsum {
741: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
742: my $result='';
743: if ($target eq 'edit') {
744: $result=&Apache::edit::end_table();
745: }
746: return $result;
747: }
748:
749:
750:
751: #
752: # <backgroundplot function="..." fixed="yes/no" />
753: #
754: sub start_backgroundplot {
755: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
756: my $result='';
757: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
758: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
759: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval);
760: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval);
761: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
762: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval);
763: $color=~s/[^a-fA-F0-9]//gs;
764: unless (length($color)==6) { $color=''; }
765: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
766:
767: unless ($function) { $function="0"; }
768: if ($target eq 'web') {
769: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3);
770: unless (defined($xinitial)) { $xinitial=$xmin; }
771: unless (defined($xfinal)) { $xfinal=$xmax; }
772: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal);
773: } elsif ($target eq 'edit') {
774: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
775: &Apache::edit::text_arg('Function:','function',
776: $token,'16').
777: &Apache::edit::text_arg('Initial x-value (optional):','xinitial',
778: $token,'8').
779: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
780: $token,'8').
781: &Apache::edit::text_arg('Label on Plot:','label',
782: $token,'8').
783: &Apache::edit::text_arg('Color (hex code):','color',
784: $token,'8').
785: &Apache::edit::select_arg('Fixed location:','fixed',
786: ['yes','no'],$token).
787: &Apache::edit::end_row();
788: } elsif ($target eq 'modified') {
789: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
790: $safeeval,'function','label','xinitial','xfinal','color','fixed');
791: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
792: }
793: return $result;
794: }
795:
796: sub end_backgroundplot {
797: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
798: my $result='';
799: if ($target eq 'edit') {
800: $result=&Apache::edit::end_table();
801: }
802: return $result;
803: }
804:
805: #
806: # <functionplotrule ... />
807: #
808: sub start_functionplotrule {
809: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
810: my $result='';
811: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
812: $Apache::functionplotresponse::counter++;
813: if ($label=~/\W/) {
814: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
815: }
816: $label=~s/\W//gs;
817: unless ($label) {
818: $label='R'.$Apache::functionplotresponse::counter;
819: } else {
820: $label='R'.$label;
821: }
822:
823: if ($target eq 'grade') {
824: # Simply remember - in order - for later
825: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval);
826: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval);
827: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) {
828: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.'));
829: }
830: $beginninglabel=~s/\W//gs;
831: $endinglabel=~s/\W//gs;
832: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval);
833: $relationship=~s/\W//gs;
834: $relationship=lc($relationship);
835: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) {
836: &Apache::lonxml::warning(&mt('Rule relationship not defined.'));
837: $relationship='eq';
838: }
839: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval);
840: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) {
841: &Apache::lonxml::warning(&mt('Rule derivative not defined.'));
842: $derivative=0;
843: }
844: push(@Apache::functionplotresponse::functionplotrules,join(':',(
845: $label,
846: $derivative,
847: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval),
848: $beginninglabel,
849: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval),
850: $endinglabel,
851: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval),
852: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval),
853: $relationship,
854: &Apache::lonxml::get_param('value',$parstack,$safeeval),
855: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval)
856: )));
857: } elsif ($target eq 'edit') {
858: $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule').
859: &Apache::edit::text_arg('Index/Name:','index',
860: $token,'10').' '.
861: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder',
862: [['0','Function itself'],
863: ['1','First derivative'],
864: ['2','Second derivative'],
865: ['-1','Integral']],$token).'<br />'.
866: &Apache::edit::text_arg('Initial x-value:','xinitial',
867: $token,'8').
868: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel',
869: [['start','Start of Plot'],
870: ['end','End of Plot']],$token,'8').'<br />'.
871:
872: &Apache::edit::text_arg('Final x-value (optional):','xfinal',
873: $token,'8').
874: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel',
875: [['end','End of Plot']],$token,'8').'<br />'.
876: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength',
877: $token,'8').
878: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength',
879: $token,'8').'<br />'.
880: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship',
881: [['eq','equal'],
882: ['ne','not equal'],
883: ['ge','greater than or equal'],
884: ['gt','greater than'],
885: ['lt','less than'],
886: ['le','less than or equal']],$token).
887: $result.= &Apache::edit::select_or_text_arg('Value:','value',
888: [['undef','not defined']],$token,'30').
889: &Apache::edit::text_arg('Percent error:','percenterror',
890: $token,'8').
891: &Apache::edit::end_row();
892: } elsif ($target eq 'modified') {
893: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) {
894: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}='';
895: }
896: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) {
897: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}='';
898: }
899: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
900: $safeeval,'index','derivativeorder',
901: 'xinitial','xinitiallabel','xfinal','xfinallabel',
902: 'minimumlength','maximumlength',
903: 'relationship','value','percenterror');
904: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
905: }
906: return $result;
907: }
908:
909: sub end_functionplotrule {
910: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
911: my $result='';
912: if ($target eq 'edit') {
913: $result=&Apache::edit::end_table();
914: }
915: return $result;
916: }
917:
918:
919: #
920: # <functionplotvectorrule ... />
921: #
922: sub start_functionplotvectorrule {
923: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
924: my $result='';
925: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
926: $Apache::functionplotresponse::counter++;
927: if ($label=~/\W/) {
928: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
929: }
930: $label=~s/\W//gs;
931: unless ($label) {
932: $label='R'.$Apache::functionplotresponse::counter;
933: } else {
934: $label='R'.$label;
935: }
936:
937: if ($target eq 'grade') {
938: # Simply remember - in order - for later
939:
940: my $id=$Apache::inputtags::response[-1];
941: my $partid=$Apache::inputtags::part;
942: my $internalid = $partid.'_'.$id;
943:
944: my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval);
945: $vector=~s/\W//gs;
946: $vector=ucfirst($vector);
947:
948: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
949: $label,
950: 'vector',
951: $internalid,
952: $vector,
953: &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval),
954: &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval),
955: &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval),
956: &Apache::lonxml::get_param('tippoint',$parstack,$safeeval),
957: &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval),
958: &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval),
959: &Apache::lonxml::get_param('length',$parstack,$safeeval),
960: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
961: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
962: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
963: )));
964: } elsif ($target eq 'edit') {
965: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule').
966: &Apache::edit::text_arg('Index/Name:','index',
967: $token,'10').' '.
968: &Apache::edit::text_arg('Vector:','vector',
969: $token,'16').'<br />'.
970: &Apache::edit::text_arg('Attached to object:','attachpoint',
971: $token,'16').
972: &Apache::edit::text_arg('Not attached to object:','notattachpoint',
973: $token,'16').'<br />'.
974: &Apache::edit::text_arg('Tail attached to object:','tailpoint',
975: $token,'16').
976: &Apache::edit::text_arg('Tip attached to object:','tippoint',
977: $token,'16').
978: &Apache::edit::text_arg('Tail not attached to object:','nottailpoint',
979: $token,'16').
980: &Apache::edit::text_arg('Tip not attached to object:','nottippoint',
981: $token,'16').'<br />'.
982: &Apache::edit::text_arg('Length:','length',
983: $token,'30').
984: &Apache::edit::text_arg('Absolute error length:','lengtherror',
985: $token,'8').'<br />'.
986: &Apache::edit::text_arg('Angle:','angle',
987: $token,'30').
988: &Apache::edit::text_arg('Absolute error angle:','angleerror',
989: $token,'8').
990: &Apache::edit::end_row();
991: } elsif ($target eq 'modified') {
992: $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')});
993: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
994: $safeeval,'index','vector','attachpoint','notattachpoint',
995: 'tailpoint','tippoint','nottailpoint','nottipoint',
996: 'length','angle',
997: 'lengtherror','angleerror');
998: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
999: }
1000: return $result;
1001: }
1002:
1003: sub end_functionplotvectorrule {
1004: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1005: my $result='';
1006: if ($target eq 'edit') {
1007: $result=&Apache::edit::end_table();
1008: }
1009: return $result;
1010: }
1011:
1012: #
1013: # <functionplotvectorsumrule ... />
1014: #
1015: sub start_functionplotvectorsumrule {
1016: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1017: my $result='';
1018: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1019: $Apache::functionplotresponse::counter++;
1020: if ($label=~/\W/) {
1021: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1022: }
1023: $label=~s/\W//gs;
1024: unless ($label) {
1025: $label='R'.$Apache::functionplotresponse::counter;
1026: } else {
1027: $label='R'.$label;
1028: }
1029: if ($target eq 'grade') {
1030: # Simply remember - in order - for later
1031: my $id=$Apache::inputtags::response[-1];
1032: my $partid=$Apache::inputtags::part;
1033: my $internalid = $partid.'_'.$id;
1034: my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval);
1035: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
1036: $label,
1037: 'sum',
1038: $internalid,
1039: $vectors,
1040: &Apache::lonxml::get_param('length',$parstack,$safeeval),
1041: &Apache::lonxml::get_param('angle',$parstack,$safeeval),
1042: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval),
1043: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval),
1044: )));
1045: } elsif ($target eq 'edit') {
1046: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule').
1047: &Apache::edit::text_arg('Index/Name:','index',
1048: $token,'10').' '.
1049: &Apache::edit::text_arg('Comma-separated list of vectors:','vectors',
1050: $token,'30').'<br />'.
1051: &Apache::edit::text_arg('Sum vector length:','length',
1052: $token,'30').
1053: &Apache::edit::text_arg('Absolute error length:','lengtherror',
1054: $token,'8').'<br />'.
1055: &Apache::edit::text_arg('Sum vector angle:','angle',
1056: $token,'30').
1057: &Apache::edit::text_arg('Absolute error angle:','angleerror',
1058: $token,'8').
1059: &Apache::edit::end_row();
1060: } elsif ($target eq 'modified') {
1061: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1062: $safeeval,'index','vectors',
1063: 'length','angle',
1064: 'lengtherror','angleerror');
1065: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1066: }
1067: return $result;
1068: }
1069:
1070: sub end_functionplotvectorsumrule {
1071: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1072: my $result='';
1073: if ($target eq 'edit') {
1074: $result=&Apache::edit::end_table();
1075: }
1076: return $result;
1077: }
1078:
1079: #
1080: # <functionplotcustom ... />
1081: #
1082: sub start_functionplotcustomrule {
1083: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1084: my $result='';
1085: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1086: $Apache::functionplotresponse::counter++;
1087: if ($label=~/\W/) {
1088: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1089: }
1090: $label=~s/\W//gs;
1091: unless ($label) {
1092: $label='R'.$Apache::functionplotresponse::counter;
1093: } else {
1094: $label='R'.$label;
1095: }
1096: &Apache::lonxml::register('Apache::response',('answer'));
1097: if ($target eq 'edit') {
1098: $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule').
1099: &Apache::edit::text_arg('Index/Name:','index',$token,'10').
1100: &Apache::edit::end_row();
1101: } elsif ($target eq 'modified') {
1102: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index');
1103: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1104: }
1105: return $result;
1106: }
1107:
1108: sub end_functionplotcustomrule {
1109: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1110: my $result='';
1111: if ($target eq 'edit') {
1112: $result=&Apache::edit::end_table();
1113: } elsif ($target eq 'grade') {
1114: # Simply remember - in order - for later
1115: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1116: $Apache::functionplotresponse::counter++;
1117: if ($label=~/\W/) {
1118: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.'));
1119: }
1120: $label=~s/\W//gs;
1121: unless ($label) {
1122: $label='R'.$Apache::functionplotresponse::counter;
1123: } else {
1124: $label='R'.$label;
1125: }
1126: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',(
1127: $label,
1128: 'custom',
1129: &escape($Apache::response::custom_answer[-1])
1130: )));
1131: }
1132: &Apache::lonxml::deregister('Apache::response',('answer'));
1133: return $result;
1134: }
1135:
1136:
1137:
1138: #
1139: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
1140: #
1141: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
1142: #
1143: sub start_spline {
1144: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1145: my $result='';
1146: if ($target eq 'web') {
1147: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval);
1148: $Apache::functionplotresponse::counter++;
1149: if ($label=~/\W/) {
1150: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.'));
1151: }
1152: $label=~s/\W//gs;
1153: unless ($label) {
1154: $label='S'.$Apache::functionplotresponse::counter;
1155: } else {
1156: $label='S'.$label;
1157: }
1158: if ($Apache::functionplotresponse::splineorder{$label}) {
1159: &Apache::lonxml::error(&mt('Spline indices must be unique.'));
1160: }
1161:
1162: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
1163: if ($order<2) { $order=2; }
1164: if ($order>8) { $order=8; }
1165: $Apache::functionplotresponse::splineorder{$label}=$order;
1166:
1167: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
1168: unless ($x) { $x=0; }
1169: $Apache::functionplotresponse::splineinitx{$label}=$x;
1170:
1171: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
1172: unless ($y) { $y=0; }
1173: $Apache::functionplotresponse::splineinity{$label}=$y;
1174:
1175: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
1176: unless ($sx) { $sx=$order; }
1177: $Apache::functionplotresponse::splinescalex{$label}=$sx;
1178:
1179: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
1180: unless ($sy) { $sy=2; }
1181: $Apache::functionplotresponse::splinescaley{$label}=$sy;
1182: } elsif ($target eq 'edit') {
1183: $result=&Apache::edit::tag_start($target,$token,'Spline').
1184: &Apache::edit::text_arg('Index:','index',
1185: $token,'4').' '.
1186: &Apache::edit::select_arg('Order:','order',
1187: ['2','3','4','5','6','7','8'],$token).' '.
1188: &Apache::edit::text_arg('Initial x-value:','initx',
1189: $token,'4').' '.
1190: &Apache::edit::text_arg('Initial y-value:','inity',
1191: $token,'4').' '.
1192: &Apache::edit::text_arg('Scale x:','scalex',
1193: $token,'4').' '.
1194: &Apache::edit::text_arg('Scale y:','scaley',
1195: $token,'4').
1196: &Apache::edit::end_row();
1197: } elsif ($target eq 'modified') {
1198: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1199: $safeeval,'index','order','initx','inity',
1200: 'scalex','scaley');
1201: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
1202: }
1203: return $result;
1204: }
1205:
1206: sub end_spline {
1207: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1208: my $result='';
1209: if ($target eq 'edit') {
1210: $result=&Apache::edit::end_table();
1211: }
1212: return $result;
1213: }
1214:
1215: sub end_init_script {
1216: return (<<ENDENDINIT);
1217: }
1218: // ]]>
1219: </script>
1220: ENDENDINIT
1221: }
1222:
1223: #
1224: # Storing and restoring spline coordinates from part answers
1225: #
1226: sub decode_previous_answer {
1227: my ($answer)=@_;
1228: foreach my $coordinate (split(/\,/,$answer)) {
1229: my ($key,$value)=split(/\=/,$coordinate);
1230: $Apache::functionplotresponse::previous{$key}=$value;
1231: }
1232: }
1233:
1234: sub get_answer_from_form_fields {
1235: my ($id)=@_;
1236: my $answer='';
1237: my %coords=();
1238: foreach my $field (keys(%env)) {
1239: if ($field=~/^form\.HWVAL\_$id/) {
1240: $field=~/^form\.(.*)$/;
1241: $coords{$1}=$env{$field};
1242: }
1243: }
1244: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
1245: return ($answer,%coords);
1246: }
1247:
1248: #
1249: # The following functions calculate the cubic-hermite splines server-side
1250: #
1251:
1252: sub cubic_hermite {
1253: my ($t,$p1,$s1,$p2,$s2)=@_;
1254: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
1255: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2);
1256: }
1257:
1258: #
1259: # d/dt(...)
1260: #
1261:
1262: sub ddt_cubic_hermite {
1263: my ($t,$p1,$s1,$p2,$s2)=@_;
1264: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
1265: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2);
1266: }
1267:
1268: #
1269: # d^2/dt^2(...)
1270: #
1271:
1272: sub d2dt2_cubic_hermite {
1273: my ($t,$p1,$s1,$p2,$s2)=@_;
1274: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+
1275: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2);
1276: }
1277:
1278: #
1279: # Array index calculation
1280: #
1281: sub array_index {
1282: my ($xmin,$xmax,$x)=@_;
1283: if ($x ne '') {
1284: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5);
1285: } else {
1286: return undef;
1287: }
1288: }
1289:
1290: #
1291: # Populate the arrays
1292: #
1293:
1294: sub populate_arrays {
1295: my ($id,$xmin,$xmax,$ymin,$ymax)=@_;
1296: for (my $i=0; $i<=400; $i++) {
1297: $Apache::functionplotresponse::actualxval[$i]=undef;
1298: $Apache::functionplotresponse::func[$i]=undef;
1299: $Apache::functionplotresponse::dfuncdx[$i]=undef;
1300: $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1301: }
1302: unless ($xmax>$xmin) { return 'no_func'; }
1303: # Run over all splines in response
1304: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1305: my $xiold=-1;
1306: # Run over all points in spline
1307: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1308: my $ni=$i+1;
1309: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
1310: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
1311: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
1312: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
1313: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
1314: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
1315: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
1316: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
1317: # Run in small steps over spline parameter
1318: for (my $t=0; $t<=1; $t+=0.0001) {
1319: my $xreal=&cubic_hermite($t,@xparms);
1320: my $xi=&array_index($xmin,$xmax,$xreal);
1321: if ($xi<$xiold) { return 'no_func'; }
1322: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) {
1323: $xiold=$xi;
1324: $Apache::functionplotresponse::actualxval[$xi]=$xreal;
1325: # Function value
1326: my $funcval=&cubic_hermite($t,@yparms);
1327:
1328: # Do we already have a value for this point, and is it different from the new one?
1329: if ((defined($Apache::functionplotresponse::func[$xi])) &&
1330: (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) {
1331: return 'no_func';
1332: }
1333: # Okay, remember the new point
1334: $Apache::functionplotresponse::func[$xi]=$funcval;
1335:
1336: if (defined($funcval)) {
1337: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) {
1338: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi;
1339: }
1340: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) {
1341: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi;
1342: }
1343: }
1344: # Chain rule
1345: # dy/dx=dy/dt/(dx/dt)
1346: my $dxdt=&ddt_cubic_hermite($t,@xparms);
1347: if ($dxdt) {
1348: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
1349: # Second derivative
1350: $Apache::functionplotresponse::d2funcdx2[$xi]=
1351: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/
1352: ($dxdt*$dxdt*$dxdt);
1353: }
1354: }
1355: }
1356: }
1357: }
1358: }
1359:
1360: #
1361: # Implementation of <functionplotresponse>
1362: #
1363:
1364: sub start_functionplotresponse {
1365: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1366: my $result='';
1367: # To remember the splines - somehow, they need to come last
1368: undef %Apache::functionplotresponse::splineorder;
1369: undef %Apache::functionplotresponse::splineinitx;
1370: undef %Apache::functionplotresponse::splineinity;
1371: undef %Apache::functionplotresponse::splinescalex;
1372: undef %Apache::functionplotresponse::splinescaley;
1373: # Remember input fields, etc
1374: undef %Apache::functionplotresponse::previous;
1375: $Apache::functionplotresponse::inputfields='';
1376: $Apache::functionplotresponse::counter=0;
1377: # Remember vectors
1378: undef %Apache::functionplotresponse::vectorlabels;
1379: # Remember rules
1380: undef @Apache::functionplotresponse::functionplotrules;
1381: undef @Apache::functionplotresponse::functionplotvectorrules;
1382: # Remember failed rules
1383: if ($target eq 'grade') {
1384: undef @Apache::functionplotresponse::failedrules;
1385: }
1386: # Delete previous awards
1387: undef $Apache::functionplotresponse::awarddetail;
1388: # Part and ID
1389: my $partid=$Apache::inputtags::part;
1390: my $id=&Apache::response::start_response($parstack,$safeeval);
1391: # Internal ID to mark the applet and its coordinates
1392: my $internalid = $partid.'_'.$id;
1393: # Previous answer
1394: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
1395:
1396: # Parameters of <functionplotresponse>
1397: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval);
1398: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1399: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1400: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1401: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
1402: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1403: if ($target eq 'edit') {
1404: $result.=&Apache::edit::start_table($token)
1405: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
1406: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1407: .&Apache::edit::deletelist($target,$token).' '
1408: .&Apache::edit::insertlist($target,$token).' '
1409: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses')
1410: .'</span></td>'
1411: ."<td> "
1412: .&Apache::edit::end_row()
1413: .&Apache::edit::start_spanning_row()
1414: ."\n";
1415: $result.=&Apache::edit::text_arg('Width (pixels):','width',
1416: $token,'6').' '.
1417: &Apache::edit::text_arg('Height (pixels):','height',
1418: $token,'6').'<br />'.
1419: &Apache::edit::text_arg('Label x-axis:','xlabel',
1420: $token,'6').' '.
1421: &Apache::edit::text_arg('Minimum x-value:','xmin',
1422: $token,'4').' '.
1423: &Apache::edit::text_arg('Maximum x-value:','xmax',
1424: $token,'4').' '.
1425: &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1426: ['yes','no'],$token).'<br />'.
1427: &Apache::edit::text_arg('Label y-axis:','ylabel',
1428: $token,'6').' '.
1429: &Apache::edit::text_arg('Minimum y-value:','ymin',
1430: $token,'4').' '.
1431: &Apache::edit::text_arg('Maximum y-value:','ymax',
1432: $token,'4').' '.
1433: &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1434: ['yes','no'],$token).'<br />'.
1435: &Apache::edit::select_arg('Grid visible:','gridvisible',
1436: ['yes','no'],$token).'<br />'.
1437: &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):',
1438: 'answerdisplay',$token,'50').
1439: &Apache::edit::end_row().&Apache::edit::start_spanning_row();
1440: } elsif ($target eq 'modified') {
1441: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1442: $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax',
1443: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay');
1444: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1445:
1446: } elsif ($target eq 'meta') {
1447: $result=&Apache::response::meta_package_write('functionplotresponse');
1448: } elsif (($target eq 'answer') &&
1449: ($env{'form.answer_output_mode'} ne 'tex') &&
1450: ($Apache::lonhomework::viewgrades == 'F')) {
1451: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser();
1452: $uname =~s/\W//g;
1453: $udom =~s/\W//g;
1454: my $function_name =
1455: join('_','LONCAPA_scriptvars',$uname,$udom,
1456: $env{'form.counter'},$Apache::lonxml::curdepth);
1457: &Apache::lonxml::add_script_result(
1458: &Apache::loncommon::modal_adhoc_window($function_name,700,500,
1459: '<pre>'.$Apache::functionplotresponse::ruleslog.'</pre>',
1460: &mt('Rules Log'))."<br />");
1461: }
1462: return $result;
1463: }
1464:
1465: sub compare_rel {
1466: my ($relationship,$value,$realval,$tol)=@_;
1467: # is the real value undefined?
1468: unless (defined($realval)) {
1469: # the real value is not defined
1470: if ($relationship eq 'eq') {
1471: if ($value eq 'undef') {
1472: return 1;
1473: } else {
1474: return 0;
1475: }
1476: } elsif ($relationship eq 'ne') {
1477: if ($value eq 'undef') {
1478: return 0;
1479: } else {
1480: return 1;
1481: }
1482: } else {
1483: return 0;
1484: }
1485: }
1486:
1487: # is the expected value undefined?
1488: if ($value eq 'undef') {
1489: # but by now we know that the real value is defined
1490: return 0;
1491: }
1492:
1493: # both are defined.
1494: if ($relationship eq 'gt') {
1495: return ($realval>$value);
1496: } elsif ($relationship eq 'ge') {
1497: return ($realval>$value-$tol);
1498: } elsif ($relationship eq 'lt') {
1499: return ($realval<$value);
1500: } elsif ($relationship eq 'le') {
1501: return ($realval<$value+$tol);
1502: } elsif ($relationship eq 'ne') {
1503: return (abs($value-$realval)>$tol);
1504: } else {
1505: return (abs($value-$realval)<$tol);
1506: }
1507: return 0;
1508: }
1509:
1510: sub addlog {
1511: my ($text)=@_;
1512: $text=~s/\'/\\\'/g;
1513: $Apache::functionplotresponse::ruleslog.=$text.'<br />';
1514: }
1515:
1516: sub actualval {
1517: my ($i,$xmin,$xmax)=@_;
1518: return $xmin+$i/400.*($xmax-$xmin);
1519: }
1520:
1521: sub fpr_val {
1522: my ($arg)=@_;
1523: return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg},
1524: $Apache::functionplotresponse::fpr_xmin,
1525: $Apache::functionplotresponse::fpr_xmax);
1526: }
1527:
1528: sub fpr_f {
1529: my ($arg)=@_;
1530: return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin,
1531: $Apache::functionplotresponse::fpr_xmax,
1532: $arg)];
1533: }
1534:
1535: sub fpr_dfdx {
1536: my ($arg)=@_;
1537: return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin,
1538: $Apache::functionplotresponse::fpr_xmax,
1539: $arg)];
1540: }
1541:
1542: sub fpr_d2fdx2 {
1543: my ($arg)=@_;
1544: return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin,
1545: $Apache::functionplotresponse::fpr_xmax,
1546: $arg)];
1547: }
1548:
1549: sub fpr_vectorcoords {
1550: my ($arg)=@_;
1551: $arg=~s/\W//gs;
1552: $arg=ucfirst($arg);
1553: my $id=$Apache::inputtags::response[-1];
1554: my $partid=$Apache::inputtags::part;
1555: my $internalid = $partid.'_'.$id;
1556: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'},
1557: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'},
1558: $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'},
1559: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'});
1560: }
1561:
1562: sub fpr_objectcoords {
1563: my ($arg)=@_;
1564: $arg=~s/\W//gs;
1565: $arg=ucfirst($arg);
1566: my $id=$Apache::inputtags::response[-1];
1567: my $partid=$Apache::inputtags::part;
1568: my $internalid = $partid.'_'.$id;
1569: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'},
1570: $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'});
1571: }
1572:
1573: sub fpr_vectorlength {
1574: my ($arg)=@_;
1575: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
1576: return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys));
1577: }
1578:
1579: sub fpr_vectorangle {
1580: my ($arg)=@_;
1581: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg);
1582: my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs));
1583: if ($angle<0) { $angle=360+$angle; }
1584: return $angle;
1585: }
1586:
1587: sub vectorcoords {
1588: my ($id,$label)=@_;
1589: return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'},
1590: $env{'form.HWVAL_'.$id.'_'.$label.'End_x'},
1591: $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'},
1592: $env{'form.HWVAL_'.$id.'_'.$label.'End_y'});
1593: }
1594:
1595: sub objectcoords {
1596: my ($id,$label)=@_;
1597: return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'},
1598: $env{'form.HWVAL_'.$id.'_'.$label.'_y'});
1599: }
1600:
1601: sub attached {
1602: my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_;
1603: my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector);
1604: my $tolx=($xmax-$xmin)/100.;
1605: my $toly=($ymax-$ymin)/100.;
1606: my $tail=0;
1607: my $tip=0;
1608: foreach my $obj (split(/\s*\,\s*/,$objects)) {
1609: $obj=~s/\W//g;
1610: unless ($obj) { next; }
1611: $obj=ucfirst($obj);
1612: my ($xo,$yo)=&objectcoords($id,$obj);
1613: &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)");
1614: if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) {
1615: $tail=1;
1616: &addlog("Attached tail: $obj");
1617: }
1618: if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) {
1619: $tip=1;
1620: &addlog("Attached tip: $obj");
1621: }
1622: }
1623: &addlog("Result tail:$tail tip:$tip");
1624: return($tail,$tip);
1625: }
1626:
1627:
1628: sub vectorangle {
1629: my ($x,$y)=@_;
1630: my $angle=57.2957795*atan2($y,$x);
1631: if ($angle<0) { $angle=360+$angle; }
1632: return $angle;
1633: }
1634:
1635: sub vectorlength {
1636: my ($x,$y)=@_;
1637: return sqrt($x*$x+$y*$y);
1638: }
1639:
1640: sub relvector {
1641: my ($xs,$xe,$ys,$ye)=@_;
1642: return ($xe-$xs,$ye-$ys);
1643: }
1644:
1645: sub plotvectorlength {
1646: return &vectorlength(&relvector(&vectorcoords(@_)));
1647: }
1648:
1649: sub plotvectorangle {
1650: return &vectorangle(&relvector(&vectorcoords(@_)));
1651: }
1652:
1653:
1654: #
1655: # Evaluate a functionplotvectorrule
1656: #
1657:
1658: sub functionplotvectorrulecheck {
1659: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1660: &addlog("=================");
1661: my ($label,$type)=split(/\:/,$rule);
1662: if ($type eq 'vector') {
1663: return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
1664: } elsif ($type eq 'sum') {
1665: return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval);
1666: } elsif ($type eq 'custom') {
1667: return &customcheck($rule,$safeeval);
1668: }
1669: }
1670:
1671: sub vectorcheck {
1672: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1673: my ($label,$type,$id,$vector,
1674: $attachpoint,$notattachpoint,
1675: $tailpoint,$tippoint,$nottailpoint,$nottippoint,
1676: $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
1677: &addlog("Vector Rule $label for vector ".$vector);
1678: if ($length ne '') {
1679: &addlog("Checking for length $length with error $lengtherror");
1680: $length=&Apache::run::run($length,$safeeval);
1681: &addlog("Length evaluated to $length");
1682: my $thislength=&plotvectorlength($id,$vector);
1683: &addlog("Found length $thislength");
1684: if (abs($thislength-$length)>$lengtherror) {
1685: &setfailed($label);
1686: return 0;
1687: }
1688: }
1689: if ($angle ne '') {
1690: &addlog("Checking for angle $angle with error $angleerror");
1691: $angle=&Apache::run::run($angle,$safeeval);
1692: &addlog("Angle evaluated to $angle");
1693: my $thisangle=&plotvectorangle($id,$vector);
1694: &addlog("Found angle $thisangle");
1695: my $anglediff=abs($thisangle-$angle);
1696: &addlog("Angle difference: $anglediff");
1697: if ($anglediff>360.-$anglediff) {
1698: $anglediff=360.-$anglediff;
1699: }
1700: &addlog("Smallest angle difference: $anglediff");
1701: if ($anglediff>$angleerror) {
1702: &setfailed($label);
1703: return 0;
1704: }
1705: }
1706: if ($attachpoint ne '') {
1707: &addlog("Checking attached: ".$attachpoint);
1708: my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax);
1709: unless ($tail || $tip) {
1710: &setfailed($label);
1711: return 0;
1712: }
1713: }
1714: if ($notattachpoint ne '') {
1715: &addlog("Checking not attached: ".$notattachpoint);
1716: my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax);
1717: if ($tail || $tip) {
1718: &setfailed($label);
1719: return 0;
1720: }
1721: }
1722: if ($tailpoint ne '') {
1723: &addlog("Checking tail: ".$tailpoint);
1724: my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax);
1725: unless ($tail) {
1726: &setfailed($label);
1727: return 0;
1728: }
1729: }
1730: if ($nottailpoint ne '') {
1731: &addlog("Checking not tail: ".$nottailpoint);
1732: my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax);
1733: if ($tail) {
1734: &setfailed($label);
1735: return 0;
1736: }
1737: }
1738: if ($tippoint ne '') {
1739: &addlog("Checking tip: ".$tippoint);
1740: my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax);
1741: unless ($tip) {
1742: &setfailed($label);
1743: return 0;
1744: }
1745: }
1746: if ($nottippoint ne '') {
1747: &addlog("Checking not tip: ".$nottippoint);
1748: my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax);
1749: if ($tip) {
1750: &setfailed($label);
1751: return 0;
1752: }
1753: }
1754:
1755: &addlog("Rule $label passed.");
1756: return 1;
1757: }
1758:
1759: sub sumcheck {
1760: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1761: my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule);
1762: &addlog("Vector Sum Rule $label for vectors ".$vectors);
1763: my $sumx=0;
1764: my $sumy=0;
1765: foreach my $sv (split(/\s*\,\s*/,$vectors)) {
1766: my ($rx,$ry)=&relvector(&vectorcoords($id,$sv));
1767: $sumx+=$rx;
1768: $sumy+=$ry;
1769: }
1770: &addlog("Sum vector ($sumx,$sumy)");
1771: if ($length ne '') {
1772: &addlog("Checking length $length with error $lengtherror");
1773: $length=&Apache::run::run($length,$safeeval);
1774: &addlog("Evaluated to $length");
1775: my $thislength=&vectorlength($sumx,$sumy);
1776: &addlog("Actual length $thislength");
1777: if (abs($length-$thislength)>$lengtherror) {
1778: &setfailed($label);
1779: return 0;
1780: }
1781: }
1782: if ($angle ne '') {
1783: &addlog("Checking angle $angle with error $angleerror");
1784: $angle=&Apache::run::run($angle,$safeeval);
1785: &addlog("Evaluated to $angle");
1786: my $thisangle=&vectorangle($sumx,$sumy);
1787: &addlog("Actual angle $thisangle");
1788: my $anglediff=abs($thisangle-$angle);
1789: &addlog("Angle difference: $anglediff");
1790: if ($anglediff>360.-$anglediff) {
1791: $anglediff=360.-$anglediff;
1792: }
1793: &addlog("Smallest angle difference: $anglediff");
1794: if ($anglediff>$angleerror) {
1795: &setfailed($label);
1796: return 0;
1797: }
1798: }
1799: &addlog("Rule $label passed.");
1800: return 1;
1801: }
1802:
1803: sub customcheck {
1804: my ($rule,$safeeval)=@_;
1805: my ($label,$type,$prg)=split(/\:/,$rule);
1806: &addlog("Custom Rule ".$label);
1807: my $result=&Apache::run::run(&unescape($prg),$safeeval);
1808: &addlog("Algorithm returned $result");
1809: unless ($result) {
1810: &setfailed($label);
1811: return 0;
1812: }
1813: &addlog("Rule $label passed.");
1814: return 1;
1815: }
1816:
1817: #
1818: # Evaluate a functionplotrule
1819: #
1820:
1821: sub functionplotrulecheck {
1822: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_;
1823:
1824: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent)
1825: =split(/\:/,$rule);
1826: $percent=($percent>0?$percent:5);
1827: &addlog("=================");
1828: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value");
1829: #
1830: # Evaluate the value
1831: #
1832: if (($value=~/\D/) && ($value ne 'undef')) {
1833: $Apache::functionplotresponse::fpr_xmin=$xmin;
1834: $Apache::functionplotresponse::fpr_xmax=$xmax;
1835: $value=&Apache::run::run($value,$safeeval);
1836: &addlog("Value evaluated to $value");
1837: }
1838:
1839: #
1840: # Minimum and maximum lengths of the interval
1841: #
1842: if ((defined($minimumlength)) || (defined($maximumlength))) {
1843: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength");
1844: }
1845: my $li=0;
1846: my $lh=400;
1847:
1848: # Special case: the upper boundary was not defined
1849: # and needs to be set to the value where
1850: # the condition is not true anymore => set flag
1851:
1852: my $findupper=0;
1853: if (($xfinal eq '')
1854: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}))
1855: && ($xfinallabel)) {
1856: $findupper=1;
1857: }
1858:
1859: # if a hard value is set for the boundaries, it overrides the label
1860: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) {
1861: $li=&array_index($xmin,$xmax,$xinitial);
1862: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li;
1863: }
1864: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) {
1865: $lh=&array_index($xmin,$xmax,$xfinal);
1866: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh;
1867: }
1868: # if the label is defined, use it
1869: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) {
1870: &addlog("Using lower label $xinitiallabel");
1871: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel};
1872: } else {
1873: $li=&array_index($xmin,$xmax,$xinitial);
1874: }
1875: unless ($findupper) {
1876: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) {
1877: &addlog("Using upper label $xfinallabel");
1878: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1;
1879: } else {
1880: $lh=&array_index($xmin,$xmax,$xfinal);
1881: }
1882: }
1883: # Basic sanity checks
1884: if ($li<0) { $li=0; }
1885: if ($lh>400) { $lh=400; }
1886: if (($li>$lh) || (!defined($lh))) {
1887: $lh=$li;
1888: }
1889:
1890: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=".
1891: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))");
1892: if ($findupper) {
1893: &addlog("Looking for label $xfinallabel");
1894: }
1895: my $tol=$percent*($ymax-$ymin)/100;
1896: if ($xmax>$xmin) {
1897: if ($derivative==2) {
1898: $tol=4.*$tol/($xmax-$xmin);
1899: } elsif ($derivative==1) {
1900: $tol=2.*$tol/($xmax-$xmin);
1901: } elsif ($derivative==-1) {
1902: $tol=$tol*($xmax-$xmin)/2.;
1903: }
1904: }
1905: my $integral=0;
1906: my $binwidth=($xmax-$xmin)/400.;
1907: if (($derivative<0) && (!$findupper)) {
1908: # definite integral, calculate over whole length
1909: &addlog("Calculating definite integral");
1910: for (my $i=$li; $i<=$lh; $i++) {
1911: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1912: }
1913: unless (&compare_rel($relationship,$value,$integral,$tol)) {
1914: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol");
1915: &addlog("Rule $label failed.");
1916: &setfailed($label);
1917: return 0;
1918: }
1919: } else {
1920: for (my $i=$li; $i<=$lh; $i++) {
1921: my $val;
1922: if ($derivative==2) {
1923: $val=$Apache::functionplotresponse::d2funcdx2[$i];
1924: } elsif ($derivative==1) {
1925: $val=$Apache::functionplotresponse::dfuncdx[$i];
1926: } elsif ($derivative==-1) {
1927: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth;
1928: $val=$integral;
1929: } else {
1930: $val=$Apache::functionplotresponse::func[$i];
1931: }
1932: unless (&compare_rel($relationship,$value,$val,$tol)) {
1933: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol");
1934: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)");
1935: if (($findupper) && ($i>$li)) {
1936: # Check lengths
1937: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1938: # Successfully found a new label, set it
1939: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i;
1940: &addlog("Rule $label passed, setting label $xfinallabel");
1941: return 1;
1942: } else {
1943: &addlog("Rule $label failed.");
1944: &setfailed($label);
1945: return 0;
1946: }
1947: }
1948: }
1949: }
1950: # Corner case where this makes sense: using start or stop as defined labels
1951: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; }
1952: &addlog("Rule $label passed.");
1953: return 1;
1954: }
1955:
1956: #
1957: # check for minimum and maximum lengths
1958: #
1959:
1960: sub checklength {
1961: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_;
1962: unless (($minimumlength) || ($maximumlength)) { return 1; }
1963: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax);
1964: if ($minimumlength) {
1965: if ($length<$minimumlength) {
1966: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength");
1967: &setfailed($label);
1968: return 0;
1969: }
1970: }
1971: if ($maximumlength) {
1972: if ($length>$maximumlength) {
1973: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength");
1974: &setfailed($label);
1975: return 0;
1976: }
1977: }
1978: return 1;
1979: }
1980:
1981: sub setfailed {
1982: my ($hintlabel)=@_;
1983: $hintlabel=~s/^R//;
1984: push(@Apache::functionplotresponse::failedrules,$hintlabel);
1985: &addlog("Set hint condition $hintlabel");
1986: }
1987:
1988: sub start_functionplotruleset {
1989: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1990: if ($target eq 'edit') {
1991: return &Apache::edit::start_table($token).
1992: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>'
1993: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
1994: .&Apache::edit::deletelist($target,$token).' '.
1995: &Apache::edit::insertlist($target,$token).' '
1996: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules')
1997: .'</span></td>'
1998: ."<td> "
1999: .&Apache::edit::end_row()
2000: .&Apache::edit::start_spanning_row()
2001: ."\n";
2002: }
2003: }
2004:
2005: sub end_functionplotruleset {
2006: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
2007: my $id=$Apache::inputtags::response[-1];
2008: my $partid=$Apache::inputtags::part;
2009: my $internalid = $partid.'_'.$id;
2010:
2011: if ($target eq 'edit' ) {
2012: return &Apache::edit::end_table();
2013: } elsif ($target eq 'grade'
2014: && &Apache::response::submitted()
2015: && $Apache::lonhomework::type ne 'exam') {
2016: #
2017: # Actually grade
2018: #
2019: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2020:
2021: my $ad='';
2022: undef %Apache::functionplotresponse::functionplotrulelabels;
2023: $Apache::functionplotresponse::ruleslog='';
2024: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400;
2025: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0;
2026: if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') {
2027: $ad='NOT_FUNCTION';
2028: } else {
2029: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ".
2030: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")");
2031: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ".
2032: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")");
2033:
2034: # We have a function that we can actually grade, go through the spline rules.
2035: foreach my $rule (@Apache::functionplotresponse::functionplotrules) {
2036: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
2037: $ad='INCORRECT';
2038: last;
2039: }
2040: }
2041: # And now go through the vector rules
2042: foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) {
2043: unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) {
2044: $ad='INCORRECT';
2045: last;
2046: }
2047: }
2048: # If it's not wrong, it's correct
2049: unless ($ad) { $ad='EXACT_ANS' };
2050: }
2051: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules));
2052: &addlog("Assigned award detail: $ad");
2053: # Store for later to be assigned at end_functionplotresponse
2054: $Apache::functionplotresponse::awarddetail=$ad;
2055: }
2056: }
2057:
2058:
2059: sub end_functionplotresponse {
2060: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
2061: &Apache::response::end_response;
2062:
2063: my $result;
2064: my $id=$Apache::inputtags::response[-1];
2065: my $partid=$Apache::inputtags::part;
2066: my $internalid = $partid.'_'.$id;
2067:
2068: if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
2069: if ($target eq 'grade'
2070: && &Apache::response::submitted()
2071: && $Apache::lonhomework::type eq 'exam') {
2072:
2073: &Apache::response::scored_response($partid,$id);
2074:
2075: } elsif ($target eq 'grade'
2076: && &Apache::response::submitted()
2077: && $Apache::lonhomework::type ne 'exam') {
2078: my ($response,%coords)=&get_answer_from_form_fields($internalid);
2079: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
2080: my %previous=&Apache::response::check_for_previous($response,$partid,$id);
2081: #
2082: # Assign grade
2083: #
2084: my $ad=$Apache::functionplotresponse::awarddetail;
2085: #
2086: # Store grading info
2087: #
2088: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
2089: &Apache::response::handle_previous(\%previous,$ad);
2090: } elsif ($target eq 'web') {
2091: undef @Apache::functionplotresponse::failedrules;
2092: }
2093: return $result;
2094: }
2095:
2096: sub end_functionplotelements {
2097: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_;
2098: my $result='';
2099: my $id=$Apache::inputtags::response[-1];
2100: my $partid=$Apache::inputtags::part;
2101: my $internalid = $partid.'_'.$id;
2102: if ($target eq 'edit' ) {
2103: $result=&Apache::edit::end_table();
2104: } elsif ($target eq 'web') {
2105: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2106:
2107: # Are we in show answer mode?
2108: my $showanswer=&Apache::response::show_answer();
2109: if ($showanswer) {
2110: # Render answerdisplay
2111: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2);
2112: if ($answerdisplay=~/\S/s) {
2113: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) {
2114: my @components=split(/\s*\:\s*/,$plot);
2115: if ($#components<3) {
2116: # Just a simple plot
2117: my ($func,$xl,$xh)=@components;
2118: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; }
2119: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; }
2120: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6);
2121: } else {
2122: # This is a spline
2123: $result.=&answer_spline_script($internalid,@components);
2124: }
2125: }
2126: }
2127: }
2128: my $fixed=0;
2129: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; }
2130: # Now is the time to render all of the stored splines
2131: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
2132: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed);
2133: }
2134: # close the init script
2135: $result.=&end_init_script();
2136: # register all splines in this response
2137: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
2138: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
2139: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
2140: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
2141: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
2142: }
2143: # generate the input fields
2144: $result.=$Apache::functionplotresponse::inputfields;
2145: # actually start the <applet>-tag
2146: $result.=&geogebra_startcode($internalid,
2147: &Apache::lonxml::get_param('width',$parstack,$safeeval,-2),
2148: &Apache::lonxml::get_param('height',$parstack,$safeeval,-2));
2149: # set default parameters
2150: $result.=&geogebra_default_parameters($internalid);
2151: # close the <applet>-tag
2152: $result.=&geogebra_endcode();
2153: }
2154: return $result;
2155: }
2156:
2157: sub boundaries {
2158: my ($parstack,$safeeval,$level)=@_;
2159: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level);
2160: $xmin=(defined($xmin)?$xmin:-10);
2161: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level);
2162: $xmax=(defined($xmax)?$xmax:10);
2163: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level);
2164: $ymin=(defined($ymin)?$ymin:-10);
2165: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level);
2166: $ymax=(defined($ymax)?$ymax:10);
2167: if ($xmax<=$xmin) {
2168: $xmax=$xmin+20;
2169: }
2170: if ($ymax<=$ymin) {
2171: $ymax=$ymin+20;
2172: }
2173: return ($xmin,$xmax,$ymin,$ymax);
2174: }
2175:
2176: sub start_functionplotelements {
2177: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
2178: my $result='';
2179: my $id=$Apache::inputtags::response[-1];
2180: my $partid=$Apache::inputtags::part;
2181: my $internalid = $partid.'_'.$id;
2182:
2183: if ($target eq 'edit') {
2184: return &Apache::edit::start_table($token).
2185: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>'
2186: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
2187: .&Apache::edit::deletelist($target,$token).' '.
2188: &Apache::edit::insertlist($target,$token).' '
2189: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements')
2190: .'</span></td>'
2191: ."<td> "
2192: .&Apache::edit::end_row()
2193: .&Apache::edit::start_spanning_row()
2194: ."\n";
2195: } elsif ($target eq 'web') {
2196: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2);
2197: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2198: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2199: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false');
2200: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2);
2201: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2);
2202:
2203:
2204: # paste in the update routine to receive stuff back from the applet
2205: $result.=&update_script($internalid);
2206: # start the initscript for this applet
2207: $result.=&start_init_script($internalid);
2208: # put the axis commands inside
2209: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
2210: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel);
2211: # init script is left open
2212: }
2213: return $result;
2214: }
2215:
2216: 1;
2217:
2218: __END__
2219:
2220: =head1 NAME
2221:
2222: Apache::functionplotresponse.pm;
2223:
2224: =head1 SYNOPSIS
2225:
2226: Handles tags associated with accepting function plots.
2227:
2228: This is part of the LearningOnline Network with CAPA project
2229: described at http://www.lon-capa.org.
2230:
2231: =head1 HANDLER SUBROUTINE
2232:
2233: start_functionplotresponse()
2234:
2235: =head1 OTHER SUBROUTINES
2236:
2237: =over
2238:
2239: =item end_functionplotresponse()
2240:
2241: =back
2242:
2243: =cut
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