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 1.96 2005/03/29 17:57:51 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: $"=' ';
36:
37: sub check_commas {
38: my ($response)=@_;
39: #print("$response ");
40: my @numbers=split(',',$response);
41: #print(" numbers ".join('-',@numbers)." ");
42: if (scalar(@numbers) > 1) {
43: #print(" numbers[0] ".$numbers[0]." ");
44: if (length($numbers[0]) > 3 || length($numbers[0]) == 0) { return -1; }
45: shift(@numbers);
46: #print(" numbers ".scalar(@numbers)." ");
47: while (scalar(@numbers) > 1) {
48: #print(" numbers ".join('-',@numbers)." ");
49: if (length($numbers[0]) != 3) { return -2; }
50: shift(@numbers);
51: }
52: my ($number)=split('\.',$numbers[0]);
53: #print(" number ".$number." ");
54: #print(" numbers[0] ".$numbers[0]." ");
55: if (length($number) != 3) { return -3; }
56: } else {
57: my ($number)=split('\.',$numbers[0]);
58: if (length($number) > 3) { return -4; }
59: }
60: return 1;
61: }
62:
63: sub caparesponse_check {
64: my ($answer,$response)=@_;
65: #not properly used yet: calc
66: #not to be used: $ans_fmt
67: my $type=$LONCAPA::CAPAresponse_args{'type'};
68: my $tol=$LONCAPA::CAPAresponse_args{'tol'};
69: my $sig=$LONCAPA::CAPAresponse_args{'sig'};
70: my $ans_fmt=$LONCAPA::CAPAresponse_args{'format'};
71: my $unit=$LONCAPA::CAPAresponse_args{'unit'};
72: my $calc=$LONCAPA::CAPAresponse_args{'calc'};
73: my $samples=$LONCAPA::CAPAresponse_args{'samples'};
74:
75: my $tol_type=''; # gets it's value from whether tol has a % or not done
76: my $sig_lbound=''; #done
77: my $sig_ubound=''; #done
78:
79:
80: #type's definitons come from capaParser.h
81: my $message='';
82: #remove leading and trailing whitespace
83: if (!defined($response)) {
84: $response='';
85: }
86: if ($response=~ /^\s|\s$/) {
87: $response=~ s:^\s+|\s+$::g;
88: $message .="Removed ws now :$response:\n";
89: } else {
90: $message .="no ws in :$response:\n";
91: }
92: if ($type eq 'cs' || $type eq 'ci' || $type eq 'mc') {
93: #for string answers make surec all places spaces occur, there is
94: #really only 1 space, in both the answer and the response
95: $answer=~s/ +/ /g;
96: $response=~s/ +/ /g;
97: }
98: if ($type eq 'float' && $unit=~/\$/) {
99: if ($response!~/^\$/) { return "NO_UNIT: Missing \$ "; }
100: $response=~s/\$//g;
101: }
102: if ($type eq 'float' && $unit=~/\,/ && (&check_commas($response)<0)) {
103: return "COMMA_FAIL:";
104: }
105: $ans_fmt=~s/\W//g;
106: $unit=~s/[\$,]//g;
107: if ($type eq 'float') { $response=~s/,//g; }
108:
109: if (length($response) > 500) { return "TOO_LONG: Answer too long"; }
110:
111: if ($type eq '' ) {
112: $message .= "Didn't find a type :$type: defaulting\n";
113: if ( $answer eq ($answer *1.0)) { $type = 2;
114: } else { $type = 3; }
115: } else {
116: if ($type eq 'cs') { $type = 4; }
117: elsif ($type eq 'ci') { $type = 3 }
118: elsif ($type eq 'mc') { $type = 5; }
119: elsif ($type eq 'fml') { $type = 8; }
120: elsif ($type eq 'subj') { $type = 7; }
121: elsif ($type eq 'float') { $type = 2; }
122: elsif ($type eq 'int') { $type = 1; }
123: else { return "ERROR: Unknown type of answer: $type" }
124: }
125:
126: my $points;
127: my $id_list;
128: #formula type setup the sample points
129: if ($type eq '8') {
130: ($id_list,$points)=split(/@/,$samples);
131: $message.="Found :$id_list:$points: points in $samples\n";
132: }
133: if ($tol eq '') {
134: $tol=0.0;
135: $tol_type=1; #TOL_ABSOLUTE
136: } else {
137: if ($tol =~ /%$/) {
138: chop $tol;
139: $tol_type=2; #TOL_PERCENTAGE
140: } else {
141: $tol_type=1; #TOL_ABSOLUTE
142: }
143: }
144:
145: ($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig);
146:
147: my $reterror="";
148: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
149: $tol_type,$tol,
150: $sig_lbound,$sig_ubound,
151: $ans_fmt,$unit,$calc,$id_list,
152: $points,$external::randomseed,
153: \$reterror);
154:
155: if ($result == '1') { $result='EXACT_ANS'; }
156: elsif ($result == '2') { $result='APPROX_ANS'; }
157: elsif ($result == '3') { $result='SIG_FAIL'; }
158: elsif ($result == '4') { $result='UNIT_FAIL'; }
159: elsif ($result == '5') { $result='NO_UNIT'; }
160: elsif ($result == '6') { $result='UNIT_OK'; }
161: elsif ($result == '7') { $result='INCORRECT'; }
162: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
163: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
164: elsif ($result =='10') { $result='SUB_RECORDED'; }
165: elsif ($result =='11') { $result='BAD_FORMULA'; }
166: elsif ($result =='12' && !$response) { $result='MISSING_ANSWER'; }
167: elsif ($result =='12') { $result='WANTED_NUMERIC'; }
168: elsif ($result =='13') { $result='UNIT_INVALID_INSTRUCTOR'; }
169: elsif ($result =='141') { $result='UNIT_INVALID_STUDENT'; }
170: elsif ($result =='142') { $result='UNIT_INVALID_STUDENT'; }
171: elsif ($result =='143') { $result='UNIT_INVALID_STUDENT'; }
172: elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; }
173: else {$result = "ERROR: Unknown Result:$result:$@:";}
174:
175: return ("$result:\nRetError $reterror:\nAnswer $answer:\nResponse $response:\n type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|\n$message",$reterror);
176: }
177:
178:
179: sub caparesponse_check_list {
180: my $response=$LONCAPA::CAPAresponse_args{'response'};
181: my ($result,@list);
182: @list=@LONCAPA::CAPAresponse_answer;
183: my $aresult='';
184: my $current_answer;
185: my $answers=join(':',@list);
186: $result.="Got response :$answers:\n";
187: &LONCAPA_INTERNAL_DEBUG("<blink>Yo!</blink> got ".join(':',%LONCAPA::CAPAresponse_args));
188: my @responselist;
189: my $type = $LONCAPA::CAPAresponse_args{'type'};
190: $result.="Got type :$type:\n";
191: if ($type ne '' && $#list > 0) {
192: (@responselist)=split /,/,$response;
193: } else {
194: (@responselist)=($response);
195: }
196: my $unit='';
197: $result.="Initial final response :$responselist['-1']:\n";
198: if ($type eq '' || $type eq 'float') {
199: #for numerical problems split off the unit
200: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
201: $responselist['-1']=$1;
202: $unit=$2;
203: }
204: }
205: $result.="Final final response :$responselist['-1']:$unit:\n";
206: $result.=":$#list: answers\n";
207: $unit=~s/\s//;
208: my $i=0;
209: my $awards='';
210: my @msgs;
211: for ($i=0; $i<@list;$i++) {
212: my $msg;
213: $result.="trying answer :$list[$i]:\n";
214: my $thisanswer=$list[$i];
215: $result.="trying answer :$thisanswer:\n";
216: if ($unit eq '') {
217: ($aresult,$msg)=&caparesponse_check($thisanswer,$responselist[$i]);
218: } else {
219: ($aresult,$msg)=&caparesponse_check($thisanswer,
220: $responselist[$i]." $unit");
221: }
222: my ($temp)=split /:/, $aresult;
223: $awards.="$temp,";
224: $result.=$aresult;
225: push(@msgs,$msg);
226: }
227: chop $awards;
228: return ("$awards:\n$result",@msgs);
229: }
230:
231: sub tex {
232: if ( $external::target eq "tex" ) {
233: return $_[0];
234: } else {
235: return $_[1];
236: }
237: }
238:
239: sub var_in_tex {
240: if ( $external::target eq "tex" ) {
241: return $_[0];
242: } else {
243: return "";
244: }
245: }
246:
247: sub web {
248: if ( $external::target eq "tex" ) {
249: return $_[1];
250: } else {
251: if ( $external::target eq "web" || $external::target eq "answer") {
252: return $_[2];
253: } else {
254: return $_[0];
255: }
256: }
257: }
258:
259: sub html {
260: if ( $external::target eq "web" ) {
261: return shift;
262: }
263: }
264:
265: sub hinton {
266: return 0;
267: }
268:
269: sub random {
270: my ($start,$end,$step)=@_;
271: if ( ! $hidden::RANDOMINIT ) {
272: if ($external::randomseed == 0) { $external::randomseed=1; }
273: if ($external::randomseed =~/,/) {
274: my ($num1,$num2)=split(/,/,$external::randomseed);
275: &random_set_seed(1,abs($num1));
276: } elsif ($external::randomseed =~/:/) {
277: my ($num1,$num2)=split(/:/,$external::randomseed);
278: &random_set_seed(abs($num1),abs($num2));
279: } else {
280: &random_set_seed(1,int(abs($external::randomseed)));
281: }
282: &math_random_uniform();
283: $hidden::RANDOMINIT=1;
284: }
285: if (!defined($step)) { $step=1; }
286: my $num=1+int(($end-$start)/$step);
287: my $result=$start + int(&math_random_uniform() * $num)*$step;
288: return $result;
289: }
290:
291: sub random_normal {
292: my ($item_cnt,$seed,$av,$std_dev) = @_;
293: my @oldseed=&random_get_seed();
294: my @retArray;
295: &random_set_seed_from_phrase($seed);
296: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
297: &random_set_seed(@oldseed);
298: return @retArray;
299: }
300:
301: sub random_beta {
302: my ($item_cnt,$seed,$aa,$bb) = @_;
303: my @oldseed=&random_get_seed();
304: my @retArray;
305: &random_set_seed_from_phrase($seed);
306: @retArray=&math_random_beta($item_cnt,$aa,$bb);
307: &random_set_seed(@oldseed);
308: return @retArray;
309: }
310:
311: sub random_gamma {
312: my ($item_cnt,$seed,$a,$r) = @_;
313: my @oldseed=&random_get_seed();
314: my @retArray;
315: &random_set_seed_from_phrase($seed);
316: @retArray=&math_random_gamma($item_cnt,$a,$r);
317: &random_set_seed(@oldseed);
318: return @retArray;
319: }
320:
321: sub random_exponential {
322: my ($item_cnt,$seed,$av) = @_;
323: my @oldseed=&random_get_seed();
324: my @retArray;
325: &random_set_seed_from_phrase($seed);
326: @retArray=&math_random_exponential($item_cnt,$av);
327: &random_set_seed(@oldseed);
328: return @retArray;
329: }
330:
331: sub random_poisson {
332: my ($item_cnt,$seed,$mu) = @_;
333: my @oldseed=&random_get_seed();
334: my @retArray;
335: &random_set_seed_from_phrase($seed);
336: @retArray=&math_random_poisson($item_cnt,$mu);
337: &random_set_seed(@oldseed);
338: return @retArray;
339: }
340:
341: sub random_chi {
342: my ($item_cnt,$seed,$df) = @_;
343: my @oldseed=&random_get_seed();
344: my @retArray;
345: &random_set_seed_from_phrase($seed);
346: @retArray=&math_random_chi_square($item_cnt,$df);
347: &random_set_seed(@oldseed);
348: return @retArray;
349: }
350:
351: sub random_noncentral_chi {
352: my ($item_cnt,$seed,$df,$nonc) = @_;
353: my @oldseed=&random_get_seed();
354: my @retArray;
355: &random_set_seed_from_phrase($seed);
356: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
357: &random_set_seed(@oldseed);
358: return @retArray;
359: }
360:
361: sub random_f {
362: my ($item_cnt,$seed,$dfn,$dfd) = @_;
363: my @oldseed=&random_get_seed();
364: my @retArray;
365: &random_set_seed_from_phrase($seed);
366: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
367: &random_set_seed(@oldseed);
368: return @retArray;
369: }
370:
371: sub random_noncentral_f {
372: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
373: my @oldseed=&random_get_seed();
374: my @retArray;
375: &random_set_seed_from_phrase($seed);
376: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
377: &random_set_seed(@oldseed);
378: return @retArray;
379: }
380:
381: sub random_multivariate_normal {
382: my ($item_cnt,$seed,$mean,$covar) = @_;
383: my @oldseed=&random_get_seed();
384: &random_set_seed_from_phrase($seed);
385: my @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
386: &random_set_seed(@oldseed);
387: return @retArray;
388: }
389:
390: sub random_multinomial {
391: my ($item_cnt,$seed,@p) = @_;
392: my @oldseed=&random_get_seed();
393: my @retArray;
394: &random_set_seed_from_phrase($seed);
395: my @retArray=&math_random_multinomial($item_cnt,@p);
396: &random_set_seed(@oldseed);
397: return @retArray;
398: }
399:
400: sub random_permutation {
401: my ($seed,@inArray) = @_;
402: my @oldseed=&random_get_seed();
403: my @retArray;
404: &random_set_seed_from_phrase($seed);
405: @retArray=&math_random_permutation(@inArray);
406: &random_set_seed(@oldseed);
407: return @retArray;
408: }
409:
410: sub random_uniform {
411: my ($item_cnt,$seed,$low,$high) = @_;
412: my @oldseed=&random_get_seed();
413: my @retArray;
414: &random_set_seed_from_phrase($seed);
415: @retArray=&math_random_uniform($item_cnt,$low,$high);
416: &random_set_seed(@oldseed);
417: return @retArray;
418: }
419:
420: sub random_uniform_integer {
421: my ($item_cnt,$seed,$low,$high) = @_;
422: my @oldseed=&random_get_seed();
423: my @retArray;
424: &random_set_seed_from_phrase($seed);
425: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
426: &random_set_seed(@oldseed);
427: return @retArray;
428: }
429:
430: sub random_binomial {
431: my ($item_cnt,$seed,$nt,$p) = @_;
432: my @oldseed=&random_get_seed();
433: my @retArray;
434: &random_set_seed_from_phrase($seed);
435: @retArray=&math_random_binomial($item_cnt,$nt,$p);
436: &random_set_seed(@oldseed);
437: return @retArray;
438: }
439:
440: sub random_negative_binomial {
441: my ($item_cnt,$seed,$ne,$p) = @_;
442: my @oldseed=&random_get_seed();
443: my @retArray;
444: &random_set_seed_from_phrase($seed);
445: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
446: &random_set_seed(@oldseed);
447: return @retArray;
448: }
449:
450: sub abs { abs(shift) }
451: sub sin { sin(shift) }
452: sub cos { cos(shift) }
453: sub exp { exp(shift) }
454: sub int { int(shift) }
455: sub log { log(shift) }
456: sub atan2 { atan2($_[0],$_[1]) }
457: sub sqrt { sqrt(shift) }
458:
459: sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
460: #sub atan { atan2($_[0], 1); }
461: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
462: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
463:
464: sub log10 { CORE::log($_[0])/CORE::log(10); }
465:
466: sub factorial {
467: my $input = CORE::int(shift);
468: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
469: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
470: return 1 if $input == 0;
471: my $result = 1;
472: for (my $i=2; $i<=$input; $i++) { $result *= $i }
473: return $result;
474: }
475:
476: sub sgn {
477: return -1 if $_[0] < 0;
478: return 0 if $_[0] == 0;
479: return 1 if $_[0] > 0;
480: }
481:
482: sub min {
483: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
484: return shift @sorted;
485: }
486:
487: sub max {
488: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
489: return pop @sorted;
490: }
491:
492: sub roundto {
493: my ($input,$n) = @_;
494: return sprintf('%.'.$n.'f',$input);
495: }
496:
497: sub to_string {
498: my ($input,$n) = @_;
499: return sprintf($input) if $n eq "";
500: $n = '.'.$n if $n !~ /^\./;
501: return sprintf('%'.$n,$input) if $n ne "";
502: }
503:
504: sub sub_string {
505: my ($str,$start,$len) = @_;
506: return substr($str,$start-1,$len);
507: }
508:
509: sub pow {return $_[0] ** $_[1]; }
510: sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
511: sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
512: #sub floor {return int($_[0]); }
513:
514: sub format {
515: my ($value,$fmt)=@_;
516: my ($dollarmode,$commamode,$alwaysperiod,$options);
517: if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; }
518: #if ($options =~ /\$/) { $dollamode=1; }
519: #if ($options =~ /,/) { $commamode=1; }
520: if ($options =~ /\./) { $alwaysperiod=1; }
521: $fmt=~s/e/E/g;
522: my $result=sprintf('%.'.$fmt,$value);
523: if ($alwaysperiod && $fmt eq '0f') { $result .='.'; }
524: $result=~s/(E[+-]*)0/$1/;
525: #if ($dollarmode) {$result=&dollarformat($result);}
526: #if ($commamode) {$result=&commaformat($result);}
527: return $result;
528: }
529:
530: sub chemparse {
531: my ($reaction) = @_;
532: my @tokens = split(/(\s\+|\->|<=>|<\-|\.)/,$reaction);
533: my $formula = '';
534: foreach my $token (@tokens) {
535: if ($token eq '->' ) {
536: $formula .= '<m>\ensuremath{\rightarrow}</m> ';
537: next;
538: }
539: if ($token eq '<-' ) {
540: $formula .= '<m>\ensuremath{\leftarrow}</m> ';
541: next;
542: }
543: if ($token eq '<=>') {
544: if ($external::target eq 'web' &&
545: &EXT('request.browser.unicode')) {
546: $formula .= '⇌ ';
547: } else {
548: $formula .= &web('<=> ','<m>\ensuremath{\rightleftharpoons}</m> ',
549: '<=> ');
550: }
551: next;
552: }
553: if ($token eq '.') {
554: $formula =~ s/(\ \;| )$//;
555: $formula .= '·';
556: next;
557: }
558: $token =~ /^\s*([\d|\/]*(?:&frac\d\d)?)(.*)/;
559: $formula .= $1 if ($1 ne '1'); # stoichiometric coefficient
560:
561: my $molecule = $2;
562: # subscripts
563: $molecule =~ s|(?<=[a-zA-Z\)\]\s])(\d+)|<sub>$1</sub>|g;
564: # superscripts
565: $molecule =~ s|\^(\d*[+\-]*)|<sup>$1</sup>|g;
566: # strip whitespace
567: $molecule =~ s/\s*//g;
568: # forced space
569: $molecule =~ s/_/ /g;
570: $molecule =~ s/-/−/g;
571: $formula .= $molecule.' ';
572: }
573: # get rid of trailing space
574: $formula =~ s/(\ \;| )$//;
575: return &xmlparse($formula);
576: }
577:
578: sub prettyprint {
579: my ($value,$fmt,$target)=@_;
580: my $result;
581: if (!$target) { $target = $external::target; }
582: if ($fmt =~ /chem/i) { return(&chemparse($value)); }
583: my ($dollarmode,$commamode,$alwaysperiod,$options);
584: if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; }
585: if ($options =~ /\$/) { $dollarmode=1; }
586: if ($options =~ /,/) { $commamode=1; }
587: if ($options =~ /\./) { $alwaysperiod=1; }
588: if ($fmt) { $value=sprintf('%.'.$fmt,$value); }
589: if ($alwaysperiod && $fmt eq '0f') {
590: if ($target eq 'tex') {
591: $value .='\\ensuremath{.}';
592: } else {
593: $value .='.';
594: }
595: }
596: if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/i ) {
597: my $frac=$1;
598: if ($dollarmode) { $frac=&dollarformat($frac); }
599: if ($commamode) { $frac=&commaformat($frac); }
600: my $exponent=$2;
601: $exponent=~s/^\+0*//;
602: $exponent=~s/^-0*/-/;
603: $exponent=~s/^-0*/-/;
604: if ($exponent eq '-') { undef($exponent); }
605: if ($exponent) {
606: if ($target eq 'web') {
607: $result=$frac.'×10<sup>'.$exponent.'</sup>';
608: } elsif ($target eq 'tex') {
609: $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
610: } else {
611: $result=$value;
612: }
613: } else {
614: $result=$frac;
615: }
616: } else {
617: $result=$value;
618: if ($dollarmode) { $result=&dollarformat($result,$target); }
619: elsif ($commamode) { $result=&commaformat($result,$target); }
620: }
621: return $result;
622: }
623:
624: sub commaformat {
625: my ($number,$target) = @_;
626: if ($number =~ /\./) {
627: while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
628: $number = $1.','.$2.$3;
629: }
630: } else {
631: while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) {
632: $number = $1.','.$2.$3;
633: }
634: }
635: return $number;
636: }
637:
638: sub dollarformat {
639: my ($number,$target) = @_;
640: if (!$target) { $target = $external::target; }
641: $number=&commaformat($number,$target);
642: if ($target eq 'tex') {
643: $number='\$'.$number; #' stupid emacs
644: } else {
645: $number='$'.$number; #' stupid emacs
646: }
647: return $number;
648: }
649:
650: sub map {
651: my ($phrase,$dest,$source)=@_;
652: my @oldseed=&random_get_seed();
653: my @seed = &random_seed_from_phrase($phrase);
654: &random_set_seed(@seed);
655: my $destct = scalar(@$dest);
656: if (!$source) {
657: my @output;
658: my @idx = &math_random_permuted_index($destct);
659: my $ctr = 0;
660: while ($ctr < $destct) {
661: $output[$ctr] = $$dest[$idx[$ctr]];
662: $ctr++;
663: }
664: &random_set_seed(@oldseed);
665: return @output;
666: } else {
667: my $num = scalar(@$source);
668: my @idx = &math_random_permuted_index($num);
669: my $ctr = 0;
670: my $tot = $num;
671: $tot = $destct if $destct < $num;
672: if (ref($$dest[0])) {
673: while ($ctr < $tot) {
674: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
675: $ctr++;
676: }
677: } else {
678: while ($ctr < $tot) {
679: $$dest[$ctr] = $$source[$idx[$ctr]];
680: $ctr++;
681: }
682: }
683: }
684: &random_set_seed(@oldseed);
685: return '';
686: }
687:
688: sub rmap {
689: my ($phrase,$dest,$source)=@_;
690: my @oldseed=&random_get_seed();
691: my @seed = &random_seed_from_phrase($phrase);
692: &random_set_seed(@seed);
693: my $destct = scalar(@$dest);
694: if (!$source) {
695: my @idx = &math_random_permuted_index($destct);
696: my $ctr = 0;
697: my @r_idx;
698: while ($ctr < $destct) {
699: $r_idx[$idx[$ctr]] = $ctr;
700: $ctr++;
701: }
702: my @output;
703: $ctr = 0;
704: while ($ctr < $destct) {
705: $output[$ctr] = $$dest[$r_idx[$ctr]];
706: $ctr++;
707: }
708: &random_set_seed(@oldseed);
709: return @output;
710: } else {
711: my $num = scalar(@$source);
712: my @idx = &math_random_permuted_index($num);
713: my $ctr = 0;
714: my $tot = $num;
715: $tot = $destct if $destct < $num;
716: my @r_idx;
717: while ($ctr < $tot) {
718: $r_idx[$idx[$ctr]] = $ctr;
719: $ctr++;
720: }
721: $ctr = 0;
722: if (ref($$dest[0])) {
723: while ($ctr < $tot) {
724: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
725: $ctr++;
726: }
727: } else {
728: while ($ctr < $tot) {
729: $$dest[$ctr] = $$source[$r_idx[$ctr]];
730: $ctr++;
731: }
732: }
733: }
734: &random_set_seed(@oldseed);
735: return '';
736: }
737:
738: sub capa_id { return }
739:
740: sub problem { return }
741:
742: sub name{
743: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
744: $fullname = "" if $fullname eq ", ";
745: $fullname =~ s/\%2d/-/g;
746: return $fullname;
747: }
748:
749: sub student_number {
750: my $id = &EXT('environment.id');
751: $id = '' if $id eq "";
752: return $id;
753: }
754:
755: sub class {
756: my $course = &EXT('course.description');
757: $course = '' if $course eq "";
758: return $course;
759: }
760:
761: sub sec {
762: my $sec = &EXT('request.course.sec');
763: $sec = '' if $sec eq "";
764: return $sec;
765: }
766:
767: sub open_date {
768: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
769: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
770: my @hm = split(/:/,$dc[3]);
771: my $ampm = " am";
772: if ($hm[0] > 12) {
773: $hm[0]-=12;
774: $ampm = " pm";
775: }
776: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
777: }
778:
779: sub due_date {
780: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
781: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
782: my @hm = split(/:/,$dc[3]);
783: my $ampm = " am";
784: if ($hm[0] > 12) {
785: $hm[0]-=12;
786: $ampm = " pm";
787: }
788: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
789: }
790:
791: sub answer_date {
792: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
793: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
794: my @hm = split(/:/,$dc[3]);
795: my $ampm = " am";
796: if ($hm[0] > 12) {
797: $hm[0]-=12;
798: $ampm = " pm";
799: }
800: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
801: }
802:
803: sub array_moments {
804: my @input=@_;
805: my (@output,$N);
806: $N=scalar (@input);
807: $output[0]=$N;
808: if ($N <= 1) {
809: $output[1]=$input[0];
810: $output[1]="Input array not defined" if ($N == 0);
811: $output[2]="variance undefined for N<=1";
812: $output[3]="skewness undefined for N<=1";
813: $output[4]="kurtosis undefined for N<=1";
814: return @output;
815: }
816: my $sum=0;
817: foreach my $line (@input) {
818: $sum+=$line;
819: }
820: $output[1] = $sum/$N;
821: my ($x,$sdev,$var,$skew,$kurt) = 0;
822: foreach my $line (@input) {
823: $x=$line-$output[1];
824: $var+=$x**2;
825: $skew+=$x**3;
826: $kurt+=$x**4;
827: }
828: $output[2]=$var/($N-1);
829: $sdev=CORE::sqrt($output[2]);
830: if ($sdev == 0) {
831: $output[3]="inf-variance=0";
832: $output[4]="inf-variance=0";
833: return @output;
834: }
835: $output[3]=$skew/($sdev**3*$N);
836: $output[4]=$kurt/($sdev**4*$N)-3;
837: return @output;
838: }
839:
840: sub choose {
841: my $num = $_[0];
842: return $_[$num];
843: }
844:
845: # expiremental idea
846: sub proper_path {
847: my ($path)=@_;
848: if ( $external::target eq "tex" ) {
849: return '/home/httpd/html'.$path;
850: } else {
851: return $path;
852: }
853: }
854:
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