1: # file name (temp): default_homework
2: # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
3: #
4: # Guy Albertelli
5: #
6: # 05/25/2001 H. K. Ng
7: # 05/31/2001 H. K. Ng
8: #
9: #init some globals
10: $RANDOMINIT=0;
11: $pi=atan2(1,1)*4;
12: $rad2deg=180.0/$pi;
13: $deg2rad=$pi/180.0;
14:
15: sub caparesponse_check {
16: my $answer=''; #done
17: my $type=''; #done
18: my $tol_type=''; # gets it's value from whether tol has a % or not done
19: my $tol=''; #done
20: my $sig=''; #done lowerbnd,upperbnd
21: my $sig_lbound=''; #done
22: my $sig_ubound=''; #done
23: my $ans_fmt='';
24: my $unit=''; #done
25: my $calc='';
26: my ($response,$expr)=@_;
27:
28:
29: ($answer,$type,$tol,$sig,$ans_fmt,
30: $unit,$calc) = eval $expr.';return ($answer,$type,$tol,$sig,$ans_fmt,$unit,$calc);';
31: #type's definitons come from capaParser.h
32: my $message='';
33: #remove leading and trailing whitespace
34: if ($response=~ /^\s|\s$/) {
35: $response=~ s:^\s+|\s+$::g;
36: $message .="Removed ws now :$response:<br />";
37: } else {
38: $message .="no ws in :$response:<br />";
39: }
40:
41: if ($type eq '' ) {
42: $message .= "Didn't find a type :$type:$expr: defaulting<br />";
43: if ( $answer eq ($answer *1.0)) { $type = 2;
44: } else { $type = 3; }
45: } else {
46: if ($type eq 'cs') { $type = 4;
47: } elsif ($type eq 'ci') { $type = 3;
48: } elsif ($type eq 'mc') { $type = 5;
49: } elsif ($type eq 'fml') { $type = 8;
50: } elsif ($type eq 'subj') { $type = 7;
51: } else { return "ERROR: Unknown type of answer: $type" }
52: }
53:
54: if ($tol eq '') {
55: $tol=0.0;
56: $tol_type=1; #TOL_ABSOLUTE
57: } else {
58: if ($tol =~ /%$/) {
59: chop $tol;
60: $tol_type=2; #TOL_PERCENTAGE
61: } else {
62: $tol_type=1; #TOL_ABSOLUTE
63: }
64: }
65:
66: if ($sig eq '') {
67: $sig_lbound = 0; #SIG_LB_DEFAULT
68: $sig_ubound =15; #SIG_UB_DEFAULT
69: } else {
70: ($sig_lbound,$sig_ubound) = split /,/,$sig;
71: }
72: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
73: $tol_type,$tol,
74: $sig_lbound,$sig_ubound,
75: $ans_fmt,$unit,$calc);
76:
77: if ($result == '1') { $result='EXACT_ANS'; }
78: elsif ($result == '2') { $result='APPROX_ANS'; }
79: elsif ($result == '3') { $result='SIG_FAIL'; }
80: elsif ($result == '4') { $result='UNIT_FAIL'; }
81: elsif ($result == '5') { $result='NO_UNIT'; }
82: elsif ($result == '6') { $result='UNIT_OK'; }
83: elsif ($result == '7') { $result='INCORRECT'; }
84: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
85: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
86: elsif ($result =='10') { $result='SUB_RECORDED'; }
87: elsif ($result =='11') { $result='BAD_FORMULA'; }
88: elsif ($result =='12') { $result='WANTED_NUMERIC'; }
89: else {$result = "ERROR: Unknown Result:$result:$@:";}
90:
91: return "$result:<br />Error $error:<br />Answer $answer:<br />Response $response:<br /> type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units<br />$message$expr";
92: }
93:
94: sub caparesponse_check_list {
95: my ($response,$expr)=@_;
96: # do these first, because who knows what varname the instructor might have used
97: # but it probably isn't $CAPARESPONSE_CHECK_LIST_answer
98: my $CAPARESPONSE_CHECK_LIST_answer = eval $expr.';return $answer';
99: my (@list) = eval $CAPARESPONSE_CHECK_LIST_answer;
100: my $result='';
101: $result.="error:$@:<br />";
102: # if the eval fails just use what is in the answer exactly
103: if (!defined(@list) || !defined($list[0])) {
104: $result.="list zero is undefined<br />";
105: $list[0]=$CAPARESPONSE_CHECK_LIST_answer;
106: }
107: my $aresult='';
108: my $current_answer;
109: $result.="Got response :$CAPARESPONSE_CHECK_LIST_answer:$list[0]:<br />";
110: my @responselist;
111: my $type =eval $expr.';return $answer;';
112: if ($type ne '' && $#list > 0) {
113: (@responselist)=split /,/,$response;
114: } else {
115: (@responselist)=($response);
116: }
117: my $unit='';
118: $result.="Initial final response :$responselist['-1']:<br />";
119: if ($type eq '') {
120: #for numerical problems split off the unit
121: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
122: $responselist['-1']=$1;
123: $unit=$2;
124: }
125: }
126: $result.="Final final response :$responselist['-1']:<br />";
127: $result.=":$#list: answers<br />";
128: $unit=~s/\s//;
129: my $i=0;
130: my $awards='';
131: for ($i=0; $i<@list;$i++) {
132: $result.="trying answer :$list[$i]:<br />";
133: if ($unit eq '') {
134: $aresult=&caparesponse_check($responselist[$i],
135: $expr.';my $answer=\''.$list[$i].'\';');
136: } else {
137: $aresult=&caparesponse_check($responselist[$i]." $unit",
138: $expr.';my $answer=\''.$list[$i].'\';');
139: }
140: my ($temp)=split /:/, $aresult;
141: $awards.="$temp,";
142: $result.=$aresult;
143: }
144: chop $awards;
145: return "$awards:<br />$result";
146: }
147:
148: sub tex {
149: if ( $external::target eq "tex" ) {
150: return @_[0];
151: } else {
152: return @_[1];
153: }
154: }
155:
156: sub var_in_tex {
157: if ( $external::target eq "tex" ) {
158: return @_[0];
159: } else {
160: return "";
161: }
162: }
163:
164: sub web {
165: if ( $external::target eq "tex" ) {
166: return @_[1];
167: } else {
168: if ( $external::target eq "web") {
169: return @_[2];
170: } else {
171: return @_[0];
172: }
173: }
174: }
175:
176: sub html {
177: if ( $external::target eq "web" ) {
178: return shift;
179: }
180: }
181:
182: sub problem {
183: return '1';
184: }
185:
186: sub hinton {
187: return 0;
188: }
189:
190: sub random {
191: my ($start,$end,$step)=@_;
192: if ( ! $RANDOMINIT ) { srand($external::randomseed); $RANDOMINIT=1; }
193: my $num=1+int(($end-$start)/$step);
194: my $result=$start + int(rand() * $num)*$step;
195: return $result;
196: }
197:
198: sub random_normal {
199: my ($item_cnt,$seed,$av,$std_dev) = @_;
200: my @retArray;
201: &random_set_seed_from_phrase($seed);
202: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
203: return @retArray;
204: }
205:
206: sub random_beta {
207: my ($item_cnt,$seed,$aa,$bb) = @_;
208: my @retArray;
209: &random_set_seed_from_phrase($seed);
210: @retArray=&math_random_beta($item_cnt,$aa,$bb);
211: return @retArray;
212: }
213:
214: sub random_gamma {
215: my ($item_cnt,$seed,$a,$r) = @_;
216: my @retArray;
217: &random_set_seed_from_phrase($seed);
218: @retArray=&math_random_gamma($item_cnt,$a,$r);
219: return @retArray;
220: }
221:
222: sub random_exponential {
223: my ($item_cnt,$seed,$av) = @_;
224: my @retArray;
225: &random_set_seed_from_phrase($seed);
226: @retArray=&math_random_exponential($item_cnt,$av);
227: return @retArray;
228: }
229:
230: sub random_poisson {
231: my ($item_cnt,$seed,$mu) = @_;
232: my @retArray;
233: &random_set_seed_from_phrase($seed);
234: @retArray=&math_random_poisson($item_cnt,$mu);
235: return @retArray;
236: }
237:
238: sub random_chi {
239: my ($item_cnt,$seed,$df) = @_;
240: my @retArray;
241: &random_set_seed_from_phrase($seed);
242: @retArray=&math_random_chi_square($item_cnt,$df);
243: return @retArray;
244: }
245:
246: sub random_noncentral_chi {
247: my ($item_cnt,$seed,$df,$nonc) = @_;
248: my @retArray;
249: &random_set_seed_from_phrase($seed);
250: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
251: return @retArray;
252: }
253:
254: sub random_f {
255: my ($item_cnt,$seed,$dfn,$dfd) = @_;
256: my @retArray;
257: &random_set_seed_from_phrase($seed);
258: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
259: return @retArray;
260: }
261:
262: sub random_noncentral_f {
263: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
264: my @retArray;
265: &random_set_seed_from_phrase($seed);
266: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
267: return @retArray;
268: }
269:
270: sub random_multivariate_normal {
271: my ($item_cnt,$seed,$mean,$covar) = @_;
272: &random_set_seed_from_phrase($seed);
273: @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
274: return @retArray;
275: }
276:
277: sub random_multinomial {
278: my ($item_cnt,$seed,@p) = @_;
279: my @retArray;
280: &random_set_seed_from_phrase($seed);
281: @retArray=&math_random_multinomial($item_cnt,@p);
282: return @retArray;
283: }
284:
285: sub random_permutation {
286: my ($seed,@inArray) = @_;
287: my @retArray;
288: &random_set_seed_from_phrase($seed);
289: @retArray=&math_random_permutation(@inArray);
290: return @retArray;
291: }
292:
293: sub random_uniform {
294: my ($item_cnt,$seed,$low,$high) = @_;
295: my @retArray;
296: &random_set_seed_from_phrase($seed);
297: @retArray=&math_random_uniform($item_cnt,$low,$high);
298: return @retArray;
299: }
300:
301: sub random_uniform_integer {
302: my ($item_cnt,$seed,$low,$high) = @_;
303: my @retArray;
304: &random_set_seed_from_phrase($seed);
305: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
306: return @retArray;
307: }
308:
309: sub random_binomial {
310: my ($item_cnt,$seed,$nt,$p) = @_;
311: my @retArray;
312: &random_set_seed_from_phrase($seed);
313: @retArray=&math_random_binomial($item_cnt,$nt,$p);
314: return @retArray;
315: }
316:
317: sub random_negative_binomial {
318: my ($item_cnt,$seed,$ne,$p) = @_;
319: my @retArray;
320: &random_set_seed_from_phrase($seed);
321: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
322: return @retArray;
323: }
324:
325: sub abs { abs(shift) }
326: sub sin { sin(shift) }
327: sub cos { cos(shift) }
328: sub exp { exp(shift) }
329: sub int { int(shift) }
330: sub log { log(shift) }
331: sub atan2 { atan2($_[0],$_[1]) }
332: sub sqrt { sqrt(shift) }
333:
334: sub tan { sin($_[0]) / cos($_[0]) }
335: #sub atan { atan2($_[0], 1); }
336: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
337: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
338:
339: sub log10 { log($_[0])/log(10); }
340:
341: sub factorial {
342: my $input = int(shift);
343: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
344: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
345: return 1 if $input == 0;
346: my $result = 1;
347: for (my $i=2; $i<=$input; $i++) { $result *= $i }
348: return $result;
349: }
350:
351: sub sgn {
352: return -1 if $_[0] < 0;
353: return 0 if $_[0] == 0;
354: return 1 if $_[0] > 0;
355: }
356:
357: sub min {
358: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
359: return shift @sorted;
360: }
361:
362: sub max {
363: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
364: return pop @sorted;
365: }
366:
367: sub roundto {
368: my ($input,$n) = @_;
369: return sprintf('%.'.$n.'f',$input);
370: }
371:
372: sub to_string {
373: my ($input,$n) = @_;
374: return sprintf($input) if $n eq "";
375: $n = '.'.$n if $n !~ /^\./;
376: return sprintf('%'.$n,$input) if $n ne "";
377: }
378:
379: sub sub_string {
380: my ($str,$start,$len) = @_;
381: return substr($str,$start-1,$len);
382: }
383:
384: sub pow {return $_[0] ** $_[1]; }
385: sub ceil {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (int($_[0])+ 1) : int($_[0])); }
386: sub floor {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? int($_[0]) : (int($_[0])-1)); }
387: #sub floor {return int($_[0]); }
388:
389: sub format {
390: my ($value,$fmt)=@_;
391: return sprintf('%.'.$fmt,$value);
392: }
393:
394: sub map {
395: my ($phrase,$dest,$source)=@_;
396: my @seed = &random_seed_from_phrase($phrase);
397: &random_set_seed(@seed);
398: my $destct = scalar(@$dest);
399: if (!$source) {
400: my @output;
401: my @idx = &math_random_permuted_index($destct);
402: my $ctr = 0;
403: while ($ctr < $destct) {
404: $output[$ctr] = $$dest[$idx[$ctr]];
405: $ctr++;
406: }
407: return @output;
408: } else {
409: my $num = scalar(@$source);
410: my @idx = &math_random_permuted_index($num);
411: my $ctr = 0;
412: my $tot = $num;
413: $tot = $destct if $destct < $num;
414: if (ref($$dest[0])) {
415: while ($ctr < $tot) {
416: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
417: $ctr++;
418: }
419: } else {
420: while ($ctr < $tot) {
421: $$dest[$ctr] = $$source[$idx[$ctr]];
422: $ctr++;
423: }
424: }
425: }
426: }
427:
428: sub rmap {
429: my ($phrase,$dest,$source)=@_;
430: my @seed = &random_seed_from_phrase($phrase);
431: &random_set_seed(@seed);
432: my $destct = scalar(@$dest);
433: if (!$source) {
434: my @idx = &math_random_permuted_index($destct);
435: my $ctr = 0;
436: my @r_idx;
437: while ($ctr < $destct) {
438: $r_idx[$idx[$ctr]] = $ctr;
439: $ctr++;
440: }
441: my @output;
442: $ctr = 0;
443: while ($ctr < $destct) {
444: $output[$ctr] = $$dest[$r_idx[$ctr]];
445: $ctr++;
446: }
447: return @output;
448: } else {
449: my $num = scalar(@$source);
450: my @idx = &math_random_permuted_index($num);
451: my $ctr = 0;
452: my $tot = $num;
453: $tot = $destct if $destct < $num;
454: my @r_idx;
455: while ($ctr < $tot) {
456: $r_idx[$idx[$ctr]] = $ctr;
457: $ctr++;
458: }
459: $ctr = 0;
460: if (ref($$dest[0])) {
461: while ($ctr < $tot) {
462: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
463: $ctr++;
464: }
465: } else {
466: while ($ctr < $tot) {
467: $$dest[$ctr] = $$source[$r_idx[$ctr]];
468: $ctr++;
469: }
470: }
471: }
472: }
473:
474: sub capa_id { return }
475:
476: sub problem { return }
477:
478: sub name{
479: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
480: $fullname = "" if $fullname eq ", ";
481: $fullname =~ s/\%2d/-/g;
482: return $fullname;
483: }
484:
485: sub student_number {
486: my $id = &EXT('environment.id');
487: $id = '' if $id eq "";
488: return $id;
489: }
490:
491: sub class {
492: my $course = &EXT('course.description');
493: $course = '' if $course eq "";
494: return $course;
495: }
496:
497: sub sec {
498: my $sec = &EXT('request.course.sec');
499: $sec = '' if $sec eq "";
500: return $sec;
501: }
502:
503: sub open_date {
504: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
505: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
506: my @hm = split(/:/,$dc[3]);
507: my $ampm = " am";
508: if ($hm[0] > 12) {
509: $hm[0]-=12;
510: $ampm = " pm";
511: }
512: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
513: }
514:
515: sub due_date {
516: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
517: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
518: my @hm = split(/:/,$dc[3]);
519: my $ampm = " am";
520: if ($hm[0] > 12) {
521: $hm[0]-=12;
522: $ampm = " pm";
523: }
524: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
525: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
526: }
527:
528: sub answer_date {
529: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
530: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
531: my @hm = split(/:/,$dc[3]);
532: my $ampm = " am";
533: if ($hm[0] > 12) {
534: $hm[0]-=12;
535: $ampm = " pm";
536: }
537: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
538: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
539: }
540:
541: sub array_moments {
542: my @input=@_;
543: my (@output,$N);
544: $N=scalar (@input);
545: $output[0]=$N;
546: if ($N <= 1) {
547: $output[1]=$input[0];
548: $output[1]="Input array not defined" if ($N == 0);
549: $output[2]="variance undefined for N<=1";
550: $output[3]="skewness undefined for N<=1";
551: $output[4]="kurtosis undefined for N<=1";
552: return @output;
553: }
554: my $sum=0;
555: foreach my $line (@input) {
556: $sum+=$line;
557: }
558: $output[1] = $sum/$N;
559: my ($x,$sdev,$var,$skew,$kurt) = 0;
560: foreach my $line (@input) {
561: $x=$line-$output[1];
562: $var+=$x**2;
563: $skew+=$x**3;
564: $kurt+=$x**4;
565: }
566: $output[2]=$var/($N-1);
567: $sdev=sqrt($output[2]);
568: if ($sdev == 0) {
569: $output[3]="inf-variance=0";
570: $output[4]="inf-variance=0";
571: return @output;
572: }
573: $output[3]=$skew/($sdev**3*$N);
574: $output[4]=$kurt/($sdev**4*$N)-3;
575: return @output;
576: }
577:
578: sub choose {
579: my $num = $_[0];
580: return $_[$num];
581: }
582:
583:
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