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