Annotation of loncom/homework/functionplotresponse.pm, revision 1.22
1.1 www 1: # LearningOnline Network with CAPA
2: # option list style responses
3: #
1.22 ! www 4: # $Id: functionplotresponse.pm,v 1.21 2010/10/31 12:33:02 www Exp $
1.1 www 5: #
6: # Copyright Michigan State University Board of Trustees
7: #
8: # This file is part of the LearningOnline Network with CAPA (LON-CAPA).
9: #
10: # LON-CAPA is free software; you can redistribute it and/or modify
11: # it under the terms of the GNU General Public License as published by
12: # the Free Software Foundation; either version 2 of the License, or
13: # (at your option) any later version.
14: #
15: # LON-CAPA is distributed in the hope that it will be useful,
16: # but WITHOUT ANY WARRANTY; without even the implied warranty of
17: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
18: # GNU General Public License for more details.
19: #
20: # You should have received a copy of the GNU General Public License
21: # along with LON-CAPA; if not, write to the Free Software
22: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
23: #
24: # /home/httpd/html/adm/gpl.txt
25: #
26: # http://www.lon-capa.org/
27: #
28:
29: package Apache::functionplotresponse;
30: use strict;
31: use Apache::response();
32: use Apache::lonlocal;
33: use Apache::lonnet;
34:
35: BEGIN {
1.12 www 36: &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','splinerule'));
1.1 www 37: }
38:
1.5 www 39: #
40: # There can be a number of applets on a page, each called ggbApplet_$id,
41: # where $id is the "_"-concatenated part and responseid
42: #
43:
1.1 www 44: sub geogebra_startcode {
1.3 www 45: my ($id)=@_;
1.1 www 46: return (<<ENDSTARTCODE);
1.3 www 47: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar"
1.1 www 48: codebase="/adm/geogebra/" width="714" height="447" MAYSCRIPT>
49: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/>
50: ENDSTARTCODE
51: }
52:
53: sub geogebra_endcode {
1.2 www 54: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n";
55: }
56:
1.5 www 57: #
58: # This is the internal GeoGebra bytecode which defines the spline functions
59: #
1.2 www 60: sub geogebra_spline_program {
61: return (<<ENDSPLINEPROGRAM);
62: <param name="ggbBase64" value="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"/>
63: ENDSPLINEPROGRAM
64: }
65:
1.5 www 66: #
67: # The standard set of parameters inside <applet>
68: #
1.2 www 69: sub geogebra_default_parameters {
1.3 www 70: my ($id)=@_;
1.2 www 71: return(<<ENDDEFAULTPARAMETERS);
72: <param name="image" value="/adm/lonIcons/lonanim.gif" />
73: <param name="boxborder" value="false" />
74: <param name="centerimage" value="true" />
75: <param name="java_arguments" value="-Xmx512m" />
76: <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_properties.jar" />
77: <param name="cache_version" value="3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0" />
78: <param name="framePossible" value="false" />
79:
80: <param name="showResetIcon" value="false" />
81: <param name="showAnimationButton" value="false" />
82: <param name="enableRightClick" value="false" />
83: <param name="errorDialogsActive" value="true" />
84: <param name="enableLabelDrags" value="false" />
85: <param name="showMenuBar" value="false" />
86: <param name="showToolBar" value="false" />
87: <param name="showToolBarHelp" value="false" />
88: <param name="showAlgebraInput" value="false" />
89: <param name="enableShiftDragZoom" value="false" />
90: <param name="allowRescaling" value="false" />
91: <param name="enableLabelDrags" value="false" />
1.3 www 92: <param name="ggbOnInitParam" value="applet_$id" />
1.2 www 93: ENDDEFAULTPARAMETERS
1.1 www 94: }
95:
1.5 www 96: #
97: # This subroutine is called by LON-CAPA at </problem>
98: # Each applet on the page will call function ggbOnInit when it is done loading
99: # This function in turn will call the respective function registered by start_init_script
100: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit
101: #
102:
1.3 www 103: sub init_script {
1.16 www 104: if ($#Apache::functionplotresponse::callscripts>=0) {
105: my $script='';
106: foreach my $id (@Apache::functionplotresponse::callscripts) {
107: $script.="if (param=='applet_$id') { loaded_$id=true; }\n";
108: }
109: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)).
1.17 www 110: ") { setTimeout('ggbInitAll()',20) }";
1.16 www 111: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts));
1.3 www 112: return (<<ENDGGBINIT);
113: <script type="text/javascript">
114: // <![CDATA[
1.16 www 115: // Function that each applet will call when loaded
116: // It will pass "its" parameter
117: // Set flags for when an applet is loaded, wait till all are loaded, and then some
1.3 www 118: function ggbOnInit(param) {
1.16 www 119: $script
120: }
121: function ggbInitAll() {
1.17 www 122: $calls
1.3 www 123: }
124: // ]]>
125: </script>
126: ENDGGBINIT
127: }
128: }
129:
1.5 www 130: #
131: # Each Geogebra applet is supposed to call this when parameters change
1.10 www 132: # Changes the hidden fields on the web page
1.5 www 133: #
134: sub update_script {
135: my ($id)=@_;
136: return (<<ENDUPDATESCRIPT);
137: <script type="text/javascript">
138: // <![CDATA[
139: function updatePointCoordinates_$id(coordinateName) {
140: var x = document.ggbApplet_$id.getXcoord(coordinateName);
141: var y = document.ggbApplet_$id.getYcoord(coordinateName);
1.9 www 142: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x;
143: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y;
1.5 www 144: }
145: // ]]>
146: </script>
147: ENDUPDATESCRIPT
148: }
149:
150: #
151: # Register the above update-handler for a variable
152: #
153:
154: sub update_register {
155: my ($id,$variable)=@_;
1.6 www 156: return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n";
157: }
158:
159: #
160: # Set a coordinate variable
161: #
162: sub set_coordinate {
163: my ($id,$variable,$x,$y)=@_;
164: return (<<ENDSETVARIABLE);
1.9 www 165: document.ggbApplet_$id.evalCommand("$variable=($x,$y)");
1.6 www 166: ENDSETVARIABLE
167: }
168:
169: #
1.9 www 170: # Input field name for a coordinate variable
171: #
172:
173: sub field_name {
174: my ($id,$variable,$name)=@_;
175: return "HWVAL_$id\_$variable\_$name";
176: }
177:
178: #
179: # Generate an input field for a coordinate variable
180: #
181:
182: sub generate_input_field {
183: my ($id,$variable,$x,$y)=@_;
184: $Apache::functionplotresponse::inputfields.=
185: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n".
186: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n";
187: }
188:
189: #
1.6 www 190: # Initialize a new coordinate variable at set a listener on it
191: #
192: sub new_coordinate {
193: my ($id,$variable,$x,$y)=@_;
1.11 www 194: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) {
1.10 www 195: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')};
196: }
1.11 www 197: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) {
1.10 www 198: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')};
199: }
1.9 www 200: &generate_input_field($id,$variable,$x,$y);
1.6 www 201: return &set_coordinate($id,$variable,$x,$y).&update_register($id,$variable);
1.5 www 202: }
203:
204: #
205: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem>
206: # It then starts the right headers
207: #
1.3 www 208: sub start_init_script {
209: my ($id)=@_;
1.16 www 210: # Add id to the list of ggbInit_$id functions that need to be called
211: push(@Apache::functionplotresponse::callscripts,$id);
1.5 www 212: # ... and open this function
1.3 www 213: return (<<ENDSTARTINIT);
214: <script type="text/javascript">
215: // <![CDATA[
1.5 www 216: // variable that will eventually be passed back to the server
217: var coordinateMap_$id = [];
1.16 www 218: // flag for not loaded yet
219: var loaded_$id=false;
1.5 www 220: // Init-function for applet
1.3 www 221: function ggbInit_$id() {
222: ENDSTARTINIT
223: }
224:
1.5 www 225: #
226: # This sets the axes inside ggbInit_$id
227: #
228:
1.4 www 229: sub axes_script {
230: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_;
231: return (<<ENDAXESSCRIPT);
232: // changes (xmin, xmax, ymin, ymax)
233: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax);
234:
235: // makes the (x,y) axis (in)visible
236: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible);
237: // makes the grid (in)visible
238: document.ggbApplet_$id.setGridVisible($gvisible);
239: ENDAXESSCRIPT
240: }
241:
1.14 www 242: sub axes_label {
243: my ($id,$xlabel,$ylabel)=@_;
244: unless ($xlabel || $ylabel) { return ''; }
245: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");';
246: if ($xlabel) {
247: $return.=(<<ENDXAXISLABELSCRIPT);
248: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)");
249: document.ggbApplet_$id.setVisible("Xlabel",false);
250: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]");
251: ENDXAXISLABELSCRIPT
252: }
253: if ($ylabel) {
254: $return.=(<<ENDYAXISLABELSCRIPT);
255: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)");
256: document.ggbApplet_$id.setVisible("Ylabel",false);
257: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]");
258: ENDYAXISLABELSCRIPT
259: }
260: return $return;
261: }
262:
1.4 www 263: sub plot_script {
1.6 www 264: my ($id,$function,$fixed)=@_;
265: if ($fixed) {
266: # Use stupid trick to nail this to a location
1.14 www 267: # Oddly, it seems like only one plot cannot be nailed to a location
268: # Non-nailed-down plots apparently get overwritten
1.6 www 269: return (<<ENDPLOTSCRIPT);
270: document.ggbApplet_$id.evalCommand("a=1");
271: document.ggbApplet_$id.setVisible("a",false);
272: // This MUST be a DEPENDENT OBJECT in order to be locked down:
273: document.ggbApplet_$id.evalCommand("y=a*($function)");
1.4 www 274: ENDPLOTSCRIPT
1.6 www 275: } else {
276: return "document.ggbApplet_$id.evalCommand('y=$function')";
277: }
1.4 www 278: }
279:
1.5 www 280: #
1.7 www 281: # Subroutine that generates code for spline $label based on stored information
1.6 www 282: #
283:
284: sub generate_spline {
285: my ($id,$label)=@_;
286: my $result='';
1.7 www 287: my $order=$Apache::functionplotresponse::splineorder{$label};
288: my $x=$Apache::functionplotresponse::splineinitx{$label};
289: my $y=$Apache::functionplotresponse::splineinity{$label};
290: my $sx=$Apache::functionplotresponse::splinescalex{$label};
291: my $sy=$Apache::functionplotresponse::splinescaley{$label};
292: my @coords=();
293: foreach my $i (1..$order) {
294: $result.=&new_coordinate($id,$label.'P'.$i,$x,$y);
1.8 www 295: $x+=$sx/(2.*($order-1));
1.7 www 296: push(@coords,$label.'P'.$i);
297: $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy);
1.8 www 298: $x+=$sx/(2.*($order-1));
1.7 www 299: push(@coords,$label.'S'.$i);
300: }
301: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n";
1.6 www 302: return $result;
303: }
304: #
305: # <backgroundplot function="..." fixed="yes/no" />
1.5 www 306: #
1.4 www 307: sub start_backgroundplot {
308: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
309: my $result='';
310: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
311: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval);
1.6 www 312: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0);
313:
1.4 www 314: unless ($function) { $function="0"; }
315: if ($target eq 'web') {
1.6 www 316: $result.=&plot_script($internalid,$function,$fixed);
1.13 www 317: } elsif ($target eq 'edit') {
318: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot').
319: &Apache::edit::text_arg('Function:','function',
320: $token,'16').
321: &Apache::edit::select_arg('Fixed location:','fixed',
322: ['yes','no'],$token).
323: &Apache::edit::end_row();
324: } elsif ($target eq 'modified') {
325: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
326: $safeeval,'function','fixed');
327: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
328: }
329: return $result;
1.4 www 330: }
331:
332: sub end_backgroundplot {
1.13 www 333: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
334: my $result='';
335: if ($target eq 'edit') {
336: $result=&Apache::edit::end_table();
337: }
338: return $result;
1.6 www 339: }
340:
341: #
1.12 www 342: # <splinerule ... />
343: #
344: sub start_splinerule {
345: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
346: my $result='';
347: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1];
1.13 www 348: if ($target eq 'edit') {
349: $result=&Apache::edit::tag_start($target,$token,'Spline Evaluation Rule').
350: &Apache::edit::end_row();
351: }
1.12 www 352: return $result;
353: }
354:
355: sub end_splinerule {
1.13 www 356: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
357: my $result='';
358: if ($target eq 'edit') {
359: $result=&Apache::edit::end_table();
360: }
361: return $result;
1.12 www 362: }
363:
364:
365: #
1.6 www 366: # <spline label="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." />
367: #
368: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them
369: #
370: sub start_spline {
371: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
1.13 www 372: my $result='';
373: if ($target eq 'web') {
374: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval);
375: $Apache::functionplotresponse::counter++;
376: if ($label=~/\W/) {
377: &Apache::lonxml::warning(&mt('Spline labels should only contain alphanumeric characters.'));
378: }
379: $label=~s/\W//gs;
380: unless ($label) { $label='S'.$Apache::functionplotresponse::counter; }
381: if ($Apache::functionplotresponse::splineorder{$label}) {
382: &Apache::lonxml::error(&mt('Spline labels must be unique.'));
383: }
384:
385: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval);
386: if ($order<2) { $order=2; }
387: if ($order>8) { $order=8; }
388: $Apache::functionplotresponse::splineorder{$label}=$order;
389:
390: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval);
391: unless ($x) { $x=0; }
392: $Apache::functionplotresponse::splineinitx{$label}=$x;
393:
394: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval);
395: unless ($y) { $y=0; }
396: $Apache::functionplotresponse::splineinity{$label}=$y;
397:
398: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval);
399: unless ($sx) { $sx=$order; }
400: $Apache::functionplotresponse::splinescalex{$label}=$sx;
401:
402: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval);
403: unless ($sy) { $sy=2; }
404: $Apache::functionplotresponse::splinescaley{$label}=$sy;
405: } elsif ($target eq 'edit') {
406: $result=&Apache::edit::tag_start($target,$token,'Spline').
407: &Apache::edit::text_arg('Label:','label',
1.14 www 408: $token,'4').' '.
1.13 www 409: &Apache::edit::select_arg('Order:','order',
1.14 www 410: ['2','3','4','5','6','7','8','9'],$token).' '.
1.13 www 411: &Apache::edit::text_arg('Initial x-value:','initx',
1.14 www 412: $token,'4').' '.
1.13 www 413: &Apache::edit::text_arg('Initial y-value:','inity',
1.14 www 414: $token,'4').' '.
1.13 www 415: &Apache::edit::text_arg('Scale x:','scalex',
1.14 www 416: $token,'4').' '.
1.13 www 417: &Apache::edit::text_arg('Scale y:','scaley',
418: $token,'4').
419: &Apache::edit::end_row();
420: } elsif ($target eq 'modified') {
421: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
422: $safeeval,'label','order','initx','inity',
423: 'scalex','scaley');
424: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); }
425: }
426: return $result;
1.6 www 427: }
428:
429: sub end_spline {
1.13 www 430: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
431: my $result='';
432: if ($target eq 'edit') {
433: $result=&Apache::edit::end_table();
434: }
435: return $result;
1.4 www 436: }
437:
1.3 www 438: sub end_init_script {
439: return (<<ENDENDINIT);
440: }
441: // ]]>
442: </script>
443: ENDENDINIT
444: }
445:
1.10 www 446: #
447: # Storing and restoring spline coordinates from part answers
448: #
449: sub decode_previous_answer {
450: my ($answer)=@_;
451: foreach my $coordinate (split(/\,/,$answer)) {
452: my ($key,$value)=split(/\=/,$coordinate);
453: $Apache::functionplotresponse::previous{$key}=$value;
454: }
455: }
456:
457: sub get_answer_from_form_fields {
458: my ($id)=@_;
459: my $answer='';
460: my %coords=();
461: foreach my $field (keys(%env)) {
462: if ($field=~/^form\.HWVAL\_$id/) {
463: $field=~/^form\.(.*)$/;
464: $coords{$1}=$env{$field};
465: }
466: }
467: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords))));
468: return ($answer,%coords);
469: }
470:
1.15 www 471: #
472: # The following functions calculate the cubic-hermite splines server-side
473: #
474:
475: sub cubic_hermite {
476: my ($t,$p1,$s1,$p2,$s2)=@_;
477: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+
478: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 5.*($t*$t*$t-$t*$t) *($s2-$p2);
479: }
480:
481: #
482: # d/dt(...)
483: #
484:
485: sub ddt_cubic_hermite {
486: my ($t,$p1,$s1,$p2,$s2)=@_;
487: return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+
488: (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t) *($s2-$p2);
489: }
490:
491: #
492: # d^2/dt^2(...)
493: #
494:
495: sub d2dt2_cubic_hermite {
496: my ($t,$p1,$s1,$p2,$s2)=@_;
497: return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+
498: (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2);
499: }
500:
501: #
1.18 www 502: # Array index calculation
503: #
504: sub array_index {
505: my ($xmin,$xmax,$x)=@_;
1.20 www 506: return int(($x-$xmin)/($xmax-$xmin)*200.+0.5);
507: }
508:
509: #
510: # Actual x-value of array index
511: #
512:
513: sub index_x {
514: my ($xmin,$xmax,$i)=@_;
515: return $i*($xmax-$xmin)/200.+$xmin;
516: }
517:
518: #
519: # Assume function to be linear between array points
520: # Return the two indices and the scale factor
521: #
522:
523: sub indices_scale {
524: my ($xmin,$xmax,$x)=@_;
525: my $i=&array_index($xmin,$xmax,$x);
526: my $xr=&index_x($xmin,$xmax,$i);
527: if ($xr<$x) {
528: # Desired x is right of array index
529: if ($i>=200) { return (200,200,0); }
530: return($i,$i+1,200.*($x-$xr)/($xmax-$xmin));
531: } elsif ($xr>$x) {
532: # Desired x is left of array index
533: if ($i<=0) { return (0,0,0); }
534: return($i-1,$i,1.-200.*($xr-$x)/($xmax-$xmin));
535: } else {
536: # Desired x is at array index (unlikely, but ...)
537: if ($i>=200) { return (200,200,0); }
538: if ($i<=0) { return (0,0,0); }
539: return ($i,$i,0);
540: }
541: }
542:
543: #
544: # Function value
545: #
546:
547: sub func_val {
548: my ($xmin,$xmax,$x)=@_;
549: my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
550: my $fl=$Apache::functionplotresponse::func[$il];
551: my $fh=$Apache::functionplotresponse::func[$ih];
552: unless (defined($fl) || defined($fh)) { return undef; }
553: unless (defined($fl)) { return $fh; }
554: unless (defined($fh)) { return $fl; }
1.22 ! www 555: return $fl+$factor*($fh-$fl);
! 556: }
! 557:
! 558: #
! 559: # First derivative
! 560: #
! 561:
! 562: sub dfuncdx_val {
! 563: my ($xmin,$xmax,$x)=@_;
! 564: my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
! 565: my $fl=$Apache::functionplotresponse::dfuncdx[$il];
! 566: my $fh=$Apache::functionplotresponse::dfuncdx[$ih];
! 567: unless (defined($fl) || defined($fh)) { return undef; }
! 568: unless (defined($fl)) { return $fh; }
! 569: unless (defined($fh)) { return $fl; }
! 570: return $fl+$factor*($fh-$fl);
! 571: }
! 572:
! 573: #
! 574: # Second derivative
! 575: #
! 576:
! 577: sub d2funcdx2_val {
! 578: my ($xmin,$xmax,$x)=@_;
! 579: my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x);
! 580: my $fl=$Apache::functionplotresponse::d2funcdx2[$il];
! 581: my $fh=$Apache::functionplotresponse::d2funcdx2[$ih];
! 582: unless (defined($fl) || defined($fh)) { return undef; }
! 583: unless (defined($fl)) { return $fh; }
! 584: unless (defined($fh)) { return $fl; }
! 585: return $fl+$factor*($fh-$fl);
1.18 www 586: }
587:
588: #
589: # Populate the arrays
590: #
591:
592: sub populate_arrays {
593: my ($id,$xmin,$xmax)=@_;
594: for (my $i=0; $i<=200; $i++) {
1.19 www 595: $Apache::functionplotresponse::func[$i]=undef;
1.22 ! www 596: $Apache::functionplotresponse::dfuncdx[$i]=undef;
1.19 www 597: $Apache::functionplotresponse::d2funcd2x[$i]=undef;
1.18 www 598: }
1.19 www 599: unless ($xmax>$xmin) { return 'no_func'; }
1.18 www 600: # Run over all splines in response
601: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) {
1.19 www 602: my $xiold=-1;
1.18 www 603: # Run over all points in spline
1.19 www 604: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) {
1.18 www 605: my $ni=$i+1;
606: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'},
607: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'},
608: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'},
609: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'});
610: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'},
611: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'},
612: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'},
613: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'});
614: # Run in small steps over spline parameter
615: for (my $t=0; $t<=1; $t+=0.00025) {
616: my $xi=&array_index($xmin,$xmax,&cubic_hermite($t,@xparms));
1.19 www 617: if ($xi<$xiold) { return 'no_func'; }
618: if (($xi>$xiold) && ($xi>=0) && ($xi<=200)) {
619: if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; }
1.18 www 620: $xiold=$xi;
1.22 ! www 621: # Function value
1.18 www 622: $Apache::functionplotresponse::func[$xi]=&cubic_hermite($t,@yparms);
1.22 ! www 623: # dy/dx=dy/dt/(dx/dt)
! 624: my $dxdt=&ddt_cubic_hermite($t,@xparms);
! 625: if ($dxdt) {
! 626: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt;
! 627: }
! 628: # d^2y/dx^2
! 629: my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms);
! 630: if ($d2xdt2) {
! 631: $Apache::functionplotresponse::d2funcd2x[$xi]=&d2dt2_cubic_hermite($t,@yparms)/$d2xdt2;
! 632: }
1.18 www 633: }
634: }
635: }
636: }
637: }
638:
639: #
1.15 www 640: # Implentation of <functionplotresponse>
641: #
642:
1.1 www 643: sub start_functionplotresponse {
644: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
645: my $result='';
1.6 www 646: # To remember the splines - somehow, they need to come last
647: undef %Apache::functionplotresponse::splineorder;
648: undef %Apache::functionplotresponse::splineinitx;
649: undef %Apache::functionplotresponse::splineinity;
650: undef %Apache::functionplotresponse::splinescalex;
651: undef %Apache::functionplotresponse::splinescaley;
1.10 www 652: # Remember input fields, etc
653: undef %Apache::functionplotresponse::previous;
1.9 www 654: $Apache::functionplotresponse::inputfields='';
1.6 www 655: $Apache::functionplotresponse::counter=0;
1.10 www 656: # Part and ID
657: my $partid=$Apache::inputtags::part;
658: my $id=&Apache::response::start_response($parstack,$safeeval);
1.6 www 659: # Internal ID to mark the applet and its coordinates
1.10 www 660: my $internalid = $partid.'_'.$id;
661: # Previous answer
662: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"});
663:
1.6 www 664: # Parameters of <functionplotresponse>
1.3 www 665: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
1.18 www 666: $xmin=(defined($xmin)?$xmin:-10);
1.3 www 667: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
1.18 www 668: $xmax=(defined($xmax)?$xmax:10);
1.3 www 669: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval);
1.18 www 670: $ymin=(defined($ymin)?$ymin:-10);
1.3 www 671: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval);
1.18 www 672: $ymax=(defined($ymax)?$ymax:10);
1.6 www 673: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
674: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
675: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false');
1.14 www 676: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval);
677: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval);
1.12 www 678: if ($target eq 'edit') {
679: $result.=&Apache::edit::start_table($token)
680: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>'
681: .'<td><span class="LC_nobreak">'.&mt('Delete?').' '
682: .&Apache::edit::deletelist($target,$token)
683: .'</span></td>'
684: ."<td> "
685: .&Apache::edit::end_row()
686: .&Apache::edit::start_spanning_row()
687: ."\n";
1.14 www 688: $result.=&Apache::edit::text_arg('Label x-axis:','xlabel',
689: $token,'6').' '.
690: &Apache::edit::text_arg('Minimum x-value:','xmin',
691: $token,'4').' '.
1.12 www 692: &Apache::edit::text_arg('Maximum x-value:','xmax',
1.14 www 693: $token,'4').' '.
1.12 www 694: &Apache::edit::select_arg('x-axis visible:','xaxisvisible',
1.14 www 695: ['yes','no'],$token).' '.
696: &Apache::edit::text_arg('Label y-axis:','ylabel',
697: $token,'6').' '.
1.12 www 698: &Apache::edit::text_arg('Minimum y-value:','ymin',
1.14 www 699: $token,'4').' '.
1.12 www 700: &Apache::edit::text_arg('Maximum y-value:','ymax',
1.14 www 701: $token,'4').' '.
1.12 www 702: &Apache::edit::select_arg('y-axis visible:','yaxisvisible',
1.14 www 703: ['yes','no'],$token).' '.
1.12 www 704: &Apache::edit::select_arg('Grid visible:','gridvisible',
705: ['yes','no'],$token).
706: &Apache::edit::end_row().&Apache::edit::start_spanning_row();
707: } elsif ($target eq 'modified') {
708: my $constructtag=&Apache::edit::get_new_args($token,$parstack,
1.14 www 709: $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax',
1.12 www 710: 'xaxisvisible','yaxisvisible','gridvisible');
711: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); }
1.3 www 712:
1.12 www 713: } elsif ($target eq 'meta') {
1.10 www 714: $result=&Apache::response::meta_package_write('functionplotresponse');
1.12 www 715: } elsif ($target eq 'web') {
1.5 www 716: # paste in the update routine to receive stuff back from the applet
717: $result.=&update_script($internalid);
718: # start the initscript for this applet
1.3 www 719: $result.=&start_init_script($internalid);
1.5 www 720: # put the axis commands inside
1.4 www 721: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible);
1.14 www 722: $result.=&axes_label($internalid,$xlabel,$ylabel);
1.5 www 723: # init script is left open
1.1 www 724: }
725: return $result;
726: }
727:
728: sub end_functionplotresponse {
729: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_;
730: &Apache::response::end_response;
1.3 www 731:
1.1 www 732: my $result;
1.10 www 733: my $id=$Apache::inputtags::response[-1];
734: my $partid=$Apache::inputtags::part;
735: my $internalid = $partid.'_'.$id;
1.3 www 736:
1.12 www 737: if ($target eq 'edit') { $result=&Apache::edit::end_table(); }
1.10 www 738: if ($target eq 'grade'
739: && &Apache::response::submitted()
740: && $Apache::lonhomework::type eq 'exam') {
741:
742: #&Apache::response::scored_response($partid,$id);
743:
744: } elsif ($target eq 'grade'
745: && &Apache::response::submitted()
746: && $Apache::lonhomework::type ne 'exam') {
747: my ($response,%coords)=&get_answer_from_form_fields($internalid);
748: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response;
1.12 www 749: my %previous=&Apache::response::check_for_previous($response,$partid,$id);
750: #
751: # Actually grade
752: #
1.18 www 753: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval);
754: $xmin=(defined($xmin)?$xmin:-10);
755: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval);
756: $xmax=(defined($xmax)?$xmax:10);
757: my $ad;
758: if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') {
1.21 www 759: $ad='NOT_FUNCTION';
1.18 www 760: } else {
761: $ad='INCORRECT';
762: }
1.20 www 763:
1.12 www 764: #
765: # Store grading info
766: #
767: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad;
768: &Apache::response::handle_previous(\%previous,$ad);
1.10 www 769: } elsif ($target eq 'web') {
1.6 www 770: # Now is the time to render all of the stored splines
771: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
772: $result.=&generate_spline($internalid,$label);
773: }
1.5 www 774: # close the init script
1.3 www 775: $result.=&end_init_script();
1.17 www 776: # register all splines in this response
777: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'.
778: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n";
779: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) {
780: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'.
781: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n";
782: }
1.9 www 783: # generate the input fields
784: $result.=$Apache::functionplotresponse::inputfields;
1.5 www 785: # actually start the <applet>-tag
1.3 www 786: $result.=&geogebra_startcode($internalid);
1.5 www 787: # load the spline bytecode
1.3 www 788: $result.=&geogebra_spline_program();
1.5 www 789: # set default parameters
1.3 www 790: $result.=&geogebra_default_parameters($internalid);
1.5 www 791: # close the <applet>-tag
1.1 www 792: $result.=&geogebra_endcode();
793: }
794: return $result;
795: }
796:
797: 1;
798:
799: __END__
800:
801: =head1 NAME
802:
803: Apache::functionplotresponse.pm;
804:
805: =head1 SYNOPSIS
806:
807: Handles tags associated with accepting function plots.
808:
809: This is part of the LearningOnline Network with CAPA project
810: described at http://www.lon-capa.org.
811:
812: =head1 HANDLER SUBROUTINE
813:
814: start_functionplotresponse()
815:
816: =head1 OTHER SUBROUTINES
817:
818: =over
819:
820: =item end_functionplotresponse()
821:
822: =back
823:
824: =cut
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