1: # The LearningOnline Network with CAPA
2: # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
3: #
4: # $Id: default_homework.lcpm,v 1.89 2004/10/05 20:30:17 albertel 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:
30: #init some globals
31: $hidden::RANDOMINIT=0;
32: $pi=atan2(1,1)*4;
33: $rad2deg=180.0/$pi;
34: $deg2rad=$pi/180.0;
35: $"=' ';
36:
37: sub caparesponse_check {
38: my ($answer,$response)=@_;
39: #not properly used yet: calc
40: #not to be used: $ans_fmt
41: my $type=$LONCAPA::CAPAresponse_args{'type'};
42: my $tol=$LONCAPA::CAPAresponse_args{'tol'};
43: my $sig=$LONCAPA::CAPAresponse_args{'sig'};
44: my $ans_fmt=$LONCAPA::CAPAresponse_args{'format'};
45: my $unit=$LONCAPA::CAPAresponse_args{'unit'};
46: my $calc=$LONCAPA::CAPAresponse_args{'calc'};
47: my $samples=$LONCAPA::CAPAresponse_args{'samples'};
48:
49: my $tol_type=''; # gets it's value from whether tol has a % or not done
50: my $sig_lbound=''; #done
51: my $sig_ubound=''; #done
52:
53:
54: #type's definitons come from capaParser.h
55: my $message='';
56: #remove leading and trailing whitespace
57: if (!defined($response)) {
58: $response='';
59: }
60: if ($response=~ /^\s|\s$/) {
61: $response=~ s:^\s+|\s+$::g;
62: $message .="Removed ws now :$response:\n";
63: } else {
64: $message .="no ws in :$response:\n";
65: }
66: if ($type eq 'cs' || $type eq 'ci' || $type eq 'mc') {
67: #for string answers make surec all places spaces occur, there is
68: #really only 1 space, in both the answer and the response
69: $answer=~s/ +/ /g;
70: $response=~s/ +/ /g;
71: }
72: if ($type eq 'float') { $response=~s/,//g; }
73: if ($type eq 'float' && $ans_fmt=~/\$/) {
74: if ($response!~/^\$/) { return "NO_UNIT: Missing \$ "; }
75: $response=~s/\$//g;
76: }
77: $ans_fmt=~s/\W//g;
78:
79: if (length($response) > 500) { return "TOO_LONG: Answer too long"; }
80:
81: if ($type eq '' ) {
82: $message .= "Didn't find a type :$type: defaulting\n";
83: if ( $answer eq ($answer *1.0)) { $type = 2;
84: } else { $type = 3; }
85: } else {
86: if ($type eq 'cs') { $type = 4; }
87: elsif ($type eq 'ci') { $type = 3 }
88: elsif ($type eq 'mc') { $type = 5; }
89: elsif ($type eq 'fml') { $type = 8; }
90: elsif ($type eq 'subj') { $type = 7; }
91: elsif ($type eq 'float') { $type = 2; }
92: elsif ($type eq 'int') { $type = 1; }
93: else { return "ERROR: Unknown type of answer: $type" }
94: }
95:
96: my $points;
97: my $id_list;
98: #formula type setup the sample points
99: if ($type eq '8') {
100: ($id_list,$points)=split(/@/,$samples);
101: $message.="Found :$id_list:$points: points in $samples\n";
102: }
103: if ($tol eq '') {
104: $tol=0.0;
105: $tol_type=1; #TOL_ABSOLUTE
106: } else {
107: if ($tol =~ /%$/) {
108: chop $tol;
109: $tol_type=2; #TOL_PERCENTAGE
110: } else {
111: $tol_type=1; #TOL_ABSOLUTE
112: }
113: }
114:
115: ($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig);
116:
117: my $reterror="";
118: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
119: $tol_type,$tol,
120: $sig_lbound,$sig_ubound,
121: $ans_fmt,$unit,$calc,$id_list,
122: $points,$external::randomseed,
123: \$reterror);
124:
125: if ($result == '1') { $result='EXACT_ANS'; }
126: elsif ($result == '2') { $result='APPROX_ANS'; }
127: elsif ($result == '3') { $result='SIG_FAIL'; }
128: elsif ($result == '4') { $result='UNIT_FAIL'; }
129: elsif ($result == '5') { $result='NO_UNIT'; }
130: elsif ($result == '6') { $result='UNIT_OK'; }
131: elsif ($result == '7') { $result='INCORRECT'; }
132: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
133: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
134: elsif ($result =='10') { $result='SUB_RECORDED'; }
135: elsif ($result =='11') { $result='BAD_FORMULA'; }
136: elsif ($result =='13') { $result='UNIT_INVALID_INSTRUCTOR'; }
137: elsif ($result =='141') { $result='UNIT_INVALID_STUDENT'; }
138: elsif ($result =='142') { $result='UNIT_INVALID_STUDENT'; }
139: elsif ($result =='143') { $result='UNIT_INVALID_STUDENT'; }
140: elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; }
141: else {$result = "ERROR: Unknown Result:$result:$@:";}
142:
143: return ("$result:\nRetError $reterror:\nAnswer $answer:\nResponse $response:\n type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|\n$message",$reterror);
144: }
145:
146:
147: sub caparesponse_check_list {
148: my $response=$LONCAPA::CAPAresponse_args{'response'};
149: my ($result,@list);
150: @list=@LONCAPA::CAPAresponse_answer;
151: my $aresult='';
152: my $current_answer;
153: my $answers=join(':',@list);
154: $result.="Got response :$answers:\n";
155: &LONCAPA_INTERNAL_DEBUG("<blink>Yo!</blink> got ".join(':',%LONCAPA::CAPAresponse_args));
156: my @responselist;
157: my $type = $LONCAPA::CAPAresponse_args{'type'};
158: $result.="Got type :$type:\n";
159: if ($type ne '' && $#list > 0) {
160: (@responselist)=split /,/,$response;
161: } else {
162: (@responselist)=($response);
163: }
164: my $unit='';
165: $result.="Initial final response :$responselist['-1']:\n";
166: if ($type eq '' || $type eq 'float') {
167: #for numerical problems split off the unit
168: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
169: $responselist['-1']=$1;
170: $unit=$2;
171: }
172: }
173: $result.="Final final response :$responselist['-1']:$unit:\n";
174: $result.=":$#list: answers\n";
175: $unit=~s/\s//;
176: my $i=0;
177: my $awards='';
178: my @msgs;
179: for ($i=0; $i<@list;$i++) {
180: my $msg;
181: $result.="trying answer :$list[$i]:\n";
182: my $thisanswer=$list[$i];
183: $result.="trying answer :$thisanswer:\n";
184: if ($unit eq '') {
185: ($aresult,$msg)=&caparesponse_check($thisanswer,$responselist[$i]);
186: } else {
187: ($aresult,$msg)=&caparesponse_check($thisanswer,
188: $responselist[$i]." $unit");
189: }
190: my ($temp)=split /:/, $aresult;
191: $awards.="$temp,";
192: $result.=$aresult;
193: push(@msgs,$msg);
194: }
195: chop $awards;
196: return ("$awards:\n$result",@msgs);
197: }
198:
199: sub tex {
200: if ( $external::target eq "tex" ) {
201: return $_[0];
202: } else {
203: return $_[1];
204: }
205: }
206:
207: sub var_in_tex {
208: if ( $external::target eq "tex" ) {
209: return $_[0];
210: } else {
211: return "";
212: }
213: }
214:
215: sub web {
216: if ( $external::target eq "tex" ) {
217: return $_[1];
218: } else {
219: if ( $external::target eq "web" || $external::target eq "answer") {
220: return $_[2];
221: } else {
222: return $_[0];
223: }
224: }
225: }
226:
227: sub html {
228: if ( $external::target eq "web" ) {
229: return shift;
230: }
231: }
232:
233: sub hinton {
234: return 0;
235: }
236:
237: sub random {
238: my ($start,$end,$step)=@_;
239: if ( ! $hidden::RANDOMINIT ) {
240: if ($external::randomseed == 0) { $external::randomseed=1; }
241: if ($external::randomseed =~/,/) {
242: my ($num1,$num2)=split(/,/,$external::randomseed);
243: &random_set_seed(1,abs($num1));
244: } elsif ($external::randomseed =~/:/) {
245: my ($num1,$num2)=split(/:/,$external::randomseed);
246: &random_set_seed(abs($num1),abs($num2));
247: } else {
248: &random_set_seed(1,int(abs($external::randomseed)));
249: }
250: &math_random_uniform();
251: $hidden::RANDOMINIT=1;
252: }
253: if (!defined($step)) { $step=1; }
254: my $num=1+int(($end-$start)/$step);
255: my $result=$start + int(&math_random_uniform() * $num)*$step;
256: return $result;
257: }
258:
259: sub random_normal {
260: my ($item_cnt,$seed,$av,$std_dev) = @_;
261: my @oldseed=&random_get_seed();
262: my @retArray;
263: &random_set_seed_from_phrase($seed);
264: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
265: &random_set_seed(@oldseed);
266: return @retArray;
267: }
268:
269: sub random_beta {
270: my ($item_cnt,$seed,$aa,$bb) = @_;
271: my @oldseed=&random_get_seed();
272: my @retArray;
273: &random_set_seed_from_phrase($seed);
274: @retArray=&math_random_beta($item_cnt,$aa,$bb);
275: &random_set_seed(@oldseed);
276: return @retArray;
277: }
278:
279: sub random_gamma {
280: my ($item_cnt,$seed,$a,$r) = @_;
281: my @oldseed=&random_get_seed();
282: my @retArray;
283: &random_set_seed_from_phrase($seed);
284: @retArray=&math_random_gamma($item_cnt,$a,$r);
285: &random_set_seed(@oldseed);
286: return @retArray;
287: }
288:
289: sub random_exponential {
290: my ($item_cnt,$seed,$av) = @_;
291: my @oldseed=&random_get_seed();
292: my @retArray;
293: &random_set_seed_from_phrase($seed);
294: @retArray=&math_random_exponential($item_cnt,$av);
295: &random_set_seed(@oldseed);
296: return @retArray;
297: }
298:
299: sub random_poisson {
300: my ($item_cnt,$seed,$mu) = @_;
301: my @oldseed=&random_get_seed();
302: my @retArray;
303: &random_set_seed_from_phrase($seed);
304: @retArray=&math_random_poisson($item_cnt,$mu);
305: &random_set_seed(@oldseed);
306: return @retArray;
307: }
308:
309: sub random_chi {
310: my ($item_cnt,$seed,$df) = @_;
311: my @oldseed=&random_get_seed();
312: my @retArray;
313: &random_set_seed_from_phrase($seed);
314: @retArray=&math_random_chi_square($item_cnt,$df);
315: &random_set_seed(@oldseed);
316: return @retArray;
317: }
318:
319: sub random_noncentral_chi {
320: my ($item_cnt,$seed,$df,$nonc) = @_;
321: my @oldseed=&random_get_seed();
322: my @retArray;
323: &random_set_seed_from_phrase($seed);
324: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
325: &random_set_seed(@oldseed);
326: return @retArray;
327: }
328:
329: sub random_f {
330: my ($item_cnt,$seed,$dfn,$dfd) = @_;
331: my @oldseed=&random_get_seed();
332: my @retArray;
333: &random_set_seed_from_phrase($seed);
334: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
335: &random_set_seed(@oldseed);
336: return @retArray;
337: }
338:
339: sub random_noncentral_f {
340: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
341: my @oldseed=&random_get_seed();
342: my @retArray;
343: &random_set_seed_from_phrase($seed);
344: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
345: &random_set_seed(@oldseed);
346: return @retArray;
347: }
348:
349: sub random_multivariate_normal {
350: my ($item_cnt,$seed,$mean,$covar) = @_;
351: my @oldseed=&random_get_seed();
352: &random_set_seed_from_phrase($seed);
353: my @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
354: &random_set_seed(@oldseed);
355: return @retArray;
356: }
357:
358: sub random_multinomial {
359: my ($item_cnt,$seed,@p) = @_;
360: my @oldseed=&random_get_seed();
361: my @retArray;
362: &random_set_seed_from_phrase($seed);
363: my @retArray=&math_random_multinomial($item_cnt,@p);
364: &random_set_seed(@oldseed);
365: return @retArray;
366: }
367:
368: sub random_permutation {
369: my ($seed,@inArray) = @_;
370: my @oldseed=&random_get_seed();
371: my @retArray;
372: &random_set_seed_from_phrase($seed);
373: @retArray=&math_random_permutation(@inArray);
374: &random_set_seed(@oldseed);
375: return @retArray;
376: }
377:
378: sub random_uniform {
379: my ($item_cnt,$seed,$low,$high) = @_;
380: my @oldseed=&random_get_seed();
381: my @retArray;
382: &random_set_seed_from_phrase($seed);
383: @retArray=&math_random_uniform($item_cnt,$low,$high);
384: &random_set_seed(@oldseed);
385: return @retArray;
386: }
387:
388: sub random_uniform_integer {
389: my ($item_cnt,$seed,$low,$high) = @_;
390: my @oldseed=&random_get_seed();
391: my @retArray;
392: &random_set_seed_from_phrase($seed);
393: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
394: &random_set_seed(@oldseed);
395: return @retArray;
396: }
397:
398: sub random_binomial {
399: my ($item_cnt,$seed,$nt,$p) = @_;
400: my @oldseed=&random_get_seed();
401: my @retArray;
402: &random_set_seed_from_phrase($seed);
403: @retArray=&math_random_binomial($item_cnt,$nt,$p);
404: &random_set_seed(@oldseed);
405: return @retArray;
406: }
407:
408: sub random_negative_binomial {
409: my ($item_cnt,$seed,$ne,$p) = @_;
410: my @oldseed=&random_get_seed();
411: my @retArray;
412: &random_set_seed_from_phrase($seed);
413: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
414: &random_set_seed(@oldseed);
415: return @retArray;
416: }
417:
418: sub abs { abs(shift) }
419: sub sin { sin(shift) }
420: sub cos { cos(shift) }
421: sub exp { exp(shift) }
422: sub int { int(shift) }
423: sub log { log(shift) }
424: sub atan2 { atan2($_[0],$_[1]) }
425: sub sqrt { sqrt(shift) }
426:
427: sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
428: #sub atan { atan2($_[0], 1); }
429: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
430: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
431:
432: sub log10 { CORE::log($_[0])/CORE::log(10); }
433:
434: sub factorial {
435: my $input = CORE::int(shift);
436: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
437: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
438: return 1 if $input == 0;
439: my $result = 1;
440: for (my $i=2; $i<=$input; $i++) { $result *= $i }
441: return $result;
442: }
443:
444: sub sgn {
445: return -1 if $_[0] < 0;
446: return 0 if $_[0] == 0;
447: return 1 if $_[0] > 0;
448: }
449:
450: sub min {
451: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
452: return shift @sorted;
453: }
454:
455: sub max {
456: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
457: return pop @sorted;
458: }
459:
460: sub roundto {
461: my ($input,$n) = @_;
462: return sprintf('%.'.$n.'f',$input);
463: }
464:
465: sub to_string {
466: my ($input,$n) = @_;
467: return sprintf($input) if $n eq "";
468: $n = '.'.$n if $n !~ /^\./;
469: return sprintf('%'.$n,$input) if $n ne "";
470: }
471:
472: sub sub_string {
473: my ($str,$start,$len) = @_;
474: return substr($str,$start-1,$len);
475: }
476:
477: sub pow {return $_[0] ** $_[1]; }
478: sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
479: sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
480: #sub floor {return int($_[0]); }
481:
482: sub format {
483: my ($value,$fmt)=@_;
484: my ($dollarmode,$commamode,$alwaysperiod,$options);
485: if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; }
486: #if ($options =~ /\$/) { $dollamode=1; }
487: #if ($options =~ /,/) { $commamode=1; }
488: if ($options =~ /\./) { $alwaysperiod=1; }
489: $fmt=~s/e/E/g;
490: my $result=sprintf('%.'.$fmt,$value);
491: if ($alwaysperiod && $fmt eq '0f') { $result .='.'; }
492: $result=~s/(E[+-]*)0/$1/;
493: #if ($dollarmode) {$result=&dollarformat($result);}
494: #if ($commamode) {$result=&commaformat($result);}
495: return $result;
496: }
497:
498: sub chemparse {
499: my ($reaction) = @_;
500: my @tokens = split(/(\s\+|\->|<=>)/,$reaction);
501: my $formula = '';
502: foreach my $token (@tokens) {
503: if ($token eq '->' ) {
504: $formula .= '<m>\ensuremath{\rightarrow}</m> ';
505: next;
506: }
507: if ($token eq '<=>') {
508: if ($external::target eq 'web' &&
509: &EXT('request.browser.unicode')) {
510: $formula .= '⇌ ';
511: } else {
512: $formula .= &web('<=> ','<m>\ensuremath{\rightleftharpoons}</m> ',
513: '<=$gt; ');
514: }
515: next;
516: }
517: $token =~ /^\s*(\d*)(.*)/;
518: $formula .= $1 if ($1 > 1); # stoichiometric coefficient
519:
520: my $molecule = $2;
521: # subscripts
522: $molecule =~ s|(?<=[a-zA-Z\)\]\s])(\d+)|<sub>$1</sub>|g;
523: # superscripts
524: $molecule =~ s|\^(\d*[+\-]*)|<sup>$1</sup>|g;
525: # strip whitespace
526: $molecule =~ s/\s*//g;
527: # forced space
528: $molecule =~ s/_/ /g;
529: $formula .= $molecule.' ';
530: }
531: # get rid of trailing space
532: $formula =~ s/(\ \;| )$//;
533:
534: return &xmlparse($formula);
535: }
536:
537: sub prettyprint {
538: my ($value,$fmt,$target)=@_;
539: my $result;
540: if (!$target) { $target = $external::target; }
541: if ($fmt =~ /chem/i) { return(&chemparse($value)); }
542: my ($dollarmode,$commamode,$alwaysperiod,$options);
543: if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; }
544: if ($options =~ /\$/) { $dollarmode=1; }
545: if ($options =~ /,/) { $commamode=1; }
546: if ($options =~ /\./) { $alwaysperiod=1; }
547: if ($fmt) { $value=sprintf('%.'.$fmt,$value); }
548: if ($alwaysperiod && $fmt eq '0f') {
549: if ($target eq 'tex') {
550: $value .='\\ensuremath{.}';
551: } else {
552: $value .='.';
553: }
554: }
555: if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/i ) {
556: my $frac=$1;
557: if ($dollarmode) { $frac=&dollarformat($frac); }
558: if ($commamode) { $frac=&commaformat($frac); }
559: my $exponent=$2;
560: $exponent=~s/^\+0*//;
561: $exponent=~s/^-0*/-/;
562: $exponent=~s/^-0*/-/;
563: if ($exponent eq '-') { undef($exponent); }
564: if ($exponent) {
565: if ($target eq 'web') {
566: $result=$frac.'×10<sup>'.$exponent.'</sup>';
567: } elsif ($target eq 'tex') {
568: $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
569: } else {
570: $result=$value;
571: }
572: } else {
573: $result=$frac;
574: }
575: } else {
576: $result=$value;
577: if ($dollarmode) { $result=&dollarformat($result,$target); }
578: elsif ($commamode) { $result=&commaformat($result,$target); }
579: }
580: return $result;
581: }
582:
583: sub commaformat {
584: my ($number,$target) = @_;
585: if ($number =~ /\./) {
586: while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
587: $number = $1.','.$2.$3;
588: }
589: } else {
590: while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) {
591: $number = $1.','.$2.$3;
592: }
593: }
594: return $number;
595: }
596:
597: sub dollarformat {
598: my ($number,$target) = @_;
599: if (!$target) { $target = $external::target; }
600: $number=&commaformat($number,$target);
601: if ($target eq 'tex') {
602: $number='\$'.$number; #' stupid emacs
603: } else {
604: $number='$'.$number; #' stupid emacs
605: }
606: return $number;
607: }
608:
609: sub map {
610: my ($phrase,$dest,$source)=@_;
611: my @oldseed=&random_get_seed();
612: my @seed = &random_seed_from_phrase($phrase);
613: &random_set_seed(@seed);
614: my $destct = scalar(@$dest);
615: if (!$source) {
616: my @output;
617: my @idx = &math_random_permuted_index($destct);
618: my $ctr = 0;
619: while ($ctr < $destct) {
620: $output[$ctr] = $$dest[$idx[$ctr]];
621: $ctr++;
622: }
623: &random_set_seed(@oldseed);
624: return @output;
625: } else {
626: my $num = scalar(@$source);
627: my @idx = &math_random_permuted_index($num);
628: my $ctr = 0;
629: my $tot = $num;
630: $tot = $destct if $destct < $num;
631: if (ref($$dest[0])) {
632: while ($ctr < $tot) {
633: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
634: $ctr++;
635: }
636: } else {
637: while ($ctr < $tot) {
638: $$dest[$ctr] = $$source[$idx[$ctr]];
639: $ctr++;
640: }
641: }
642: }
643: &random_set_seed(@oldseed);
644: return '';
645: }
646:
647: sub rmap {
648: my ($phrase,$dest,$source)=@_;
649: my @oldseed=&random_get_seed();
650: my @seed = &random_seed_from_phrase($phrase);
651: &random_set_seed(@seed);
652: my $destct = scalar(@$dest);
653: if (!$source) {
654: my @idx = &math_random_permuted_index($destct);
655: my $ctr = 0;
656: my @r_idx;
657: while ($ctr < $destct) {
658: $r_idx[$idx[$ctr]] = $ctr;
659: $ctr++;
660: }
661: my @output;
662: $ctr = 0;
663: while ($ctr < $destct) {
664: $output[$ctr] = $$dest[$r_idx[$ctr]];
665: $ctr++;
666: }
667: &random_set_seed(@oldseed);
668: return @output;
669: } else {
670: my $num = scalar(@$source);
671: my @idx = &math_random_permuted_index($num);
672: my $ctr = 0;
673: my $tot = $num;
674: $tot = $destct if $destct < $num;
675: my @r_idx;
676: while ($ctr < $tot) {
677: $r_idx[$idx[$ctr]] = $ctr;
678: $ctr++;
679: }
680: $ctr = 0;
681: if (ref($$dest[0])) {
682: while ($ctr < $tot) {
683: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
684: $ctr++;
685: }
686: } else {
687: while ($ctr < $tot) {
688: $$dest[$ctr] = $$source[$r_idx[$ctr]];
689: $ctr++;
690: }
691: }
692: }
693: &random_set_seed(@oldseed);
694: return '';
695: }
696:
697: sub capa_id { return }
698:
699: sub problem { return }
700:
701: sub name{
702: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
703: $fullname = "" if $fullname eq ", ";
704: $fullname =~ s/\%2d/-/g;
705: return $fullname;
706: }
707:
708: sub student_number {
709: my $id = &EXT('environment.id');
710: $id = '' if $id eq "";
711: return $id;
712: }
713:
714: sub class {
715: my $course = &EXT('course.description');
716: $course = '' if $course eq "";
717: return $course;
718: }
719:
720: sub sec {
721: my $sec = &EXT('request.course.sec');
722: $sec = '' if $sec eq "";
723: return $sec;
724: }
725:
726: sub open_date {
727: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
728: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
729: my @hm = split(/:/,$dc[3]);
730: my $ampm = " am";
731: if ($hm[0] > 12) {
732: $hm[0]-=12;
733: $ampm = " pm";
734: }
735: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
736: }
737:
738: sub due_date {
739: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
740: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
741: my @hm = split(/:/,$dc[3]);
742: my $ampm = " am";
743: if ($hm[0] > 12) {
744: $hm[0]-=12;
745: $ampm = " pm";
746: }
747: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
748: }
749:
750: sub answer_date {
751: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
752: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
753: my @hm = split(/:/,$dc[3]);
754: my $ampm = " am";
755: if ($hm[0] > 12) {
756: $hm[0]-=12;
757: $ampm = " pm";
758: }
759: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
760: }
761:
762: sub array_moments {
763: my @input=@_;
764: my (@output,$N);
765: $N=scalar (@input);
766: $output[0]=$N;
767: if ($N <= 1) {
768: $output[1]=$input[0];
769: $output[1]="Input array not defined" if ($N == 0);
770: $output[2]="variance undefined for N<=1";
771: $output[3]="skewness undefined for N<=1";
772: $output[4]="kurtosis undefined for N<=1";
773: return @output;
774: }
775: my $sum=0;
776: foreach my $line (@input) {
777: $sum+=$line;
778: }
779: $output[1] = $sum/$N;
780: my ($x,$sdev,$var,$skew,$kurt) = 0;
781: foreach my $line (@input) {
782: $x=$line-$output[1];
783: $var+=$x**2;
784: $skew+=$x**3;
785: $kurt+=$x**4;
786: }
787: $output[2]=$var/($N-1);
788: $sdev=CORE::sqrt($output[2]);
789: if ($sdev == 0) {
790: $output[3]="inf-variance=0";
791: $output[4]="inf-variance=0";
792: return @output;
793: }
794: $output[3]=$skew/($sdev**3*$N);
795: $output[4]=$kurt/($sdev**4*$N)-3;
796: return @output;
797: }
798:
799: sub choose {
800: my $num = $_[0];
801: return $_[$num];
802: }
803:
804: # expiremental idea
805: sub proper_path {
806: my ($path)=@_;
807: if ( $external::target eq "tex" ) {
808: return '/home/httpd/html'.$path;
809: } else {
810: return $path;
811: }
812: }
813:
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