Annotation of loncom/homework/default_homework.lcpm, revision 1.28
1.25 albertel 1: # file name (temp): default_homework
1.1 harris41 2: # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
1.20 harris41 3: #
4: # Guy Albertelli
5: #
6: # 05/25/2001 H. K. Ng
1.24 ng 7: # 05/31/2001 H. K. Ng
1.20 harris41 8: #
1.25 albertel 9: #init some globals
1.3 albertel 10: $RANDOMINIT=0;
1.22 ng 11: $pi=atan2(1,1)*4;
12: $rad2deg=180.0/$pi;
13: $deg2rad=$pi/180.0;
1.3 albertel 14:
1.7 albertel 15: sub caparesponse_check {
1.10 albertel 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
1.19 albertel 20: my $sig=''; #done lowerbnd,upperbnd
21: my $sig_lbound=''; #done
22: my $sig_ubound=''; #done
1.7 albertel 23: my $ans_fmt='';
1.19 albertel 24: my $units=''; #done
1.7 albertel 25: my $calc='';
26: my ($response,$expr)=@_;
27:
1.12 albertel 28: ($answer,$type,$tol,$sig,$ans_fmt,
29: $units,$calc) = eval $expr.';return $answer,$type,$tol,$sig,$ans_fmt,$units,$calc';
1.8 albertel 30: #type's definitons come from capaParser.h
31: if ($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') { $type = 8;
1.9 albertel 39: } elsif ($type eq 'subj') { $type = 7;
40: } else { return "ERROR: Unknown type of answer: $type" }
1.8 albertel 41: }
42:
1.10 albertel 43: if ($tol eq '') {
44: $tol=0.0;
45: $tol_type=1; #TOL_ABSOLUTE
46: } else {
47: if ($tol =~ /%$/) {
1.12 albertel 48: chop $tol;
1.10 albertel 49: $tol_type=2; #TOL_PERCENTAGE
50: } else {
51: $tol_type=1; #TOL_ABSOLUTE
52: }
53: }
1.12 albertel 54:
55: if ($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: }
1.7 albertel 61: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
1.10 albertel 62: $tol_type,$tol,
1.7 albertel 63: $sig_lbound,$sig_ubound,
1.12 albertel 64: $ans_fmt,$units,$calc);
1.9 albertel 65:
66: if ($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') { $result='WANTED_NUMERIC'; }
1.13 albertel 78: else {$result = "ERROR: Unknown Result:$result:$@:";}
1.9 albertel 79:
1.17 albertel 80: return "$result:<br />Error $error:<br />Answer $answer:<br />Response $response:<br />$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units<br />";
1.14 albertel 81: }
82:
83: sub caparesponse_check_list {
84: my ($response,$expr)=@_;
85: my $result='';
1.15 albertel 86: my $aresult='';
1.14 albertel 87: my $current_answer;
88: my $answer = eval $expr.';return $answer';
89: my (@list) = eval $answer;
90: my (@responselist)=split /,/,$response;
1.15 albertel 91: my $unit='';
1.17 albertel 92: $result.="Final response :$responselist['-1']:<br />";
1.15 albertel 93: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
94: $responselist['-1']=$1;
95: $unit=$2;
96: }
1.17 albertel 97: $result.="Final response :$responselist['-1']:<br />";
1.14 albertel 98: $unit=~s/\s//;
99: my $i=0;
100: my $awards='';
101: for ($i=0; $i<@list;$i++) {
1.19 albertel 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[$i].';');
108: }
1.15 albertel 109: my ($temp)=split /:/, $aresult;
1.14 albertel 110: $awards.="$temp,";
1.15 albertel 111: $result.=$aresult;
1.14 albertel 112: }
113: chop $awards;
1.17 albertel 114: return "$awards:<br />$result";
1.7 albertel 115: }
116:
1.4 albertel 117: sub tex {
118: if ( $external::target eq "tex" ) {
119: return @_[0];
120: } else {
121: return @_[1];
122: }
123: }
124:
1.24 ng 125: sub var_in_tex {
126: if ( $external::target eq "tex" ) {
127: return @_[0];
128: } else {
129: return "";
130: }
131: }
132:
1.4 albertel 133: sub web {
134: if ( $external::target eq "tex" ) {
135: return @_[1];
136: } else {
137: if ( $external::target eq "web") {
1.26 ng 138: return @_[2];
139: } else {
1.4 albertel 140: return @_[0];
141: }
142: }
143: }
144:
1.24 ng 145: sub html {
146: if ( $external::target eq "web" ) {
1.26 ng 147: return shift;
1.24 ng 148: }
149: }
150:
1.4 albertel 151: sub problem {
1.11 albertel 152: return '1';
1.4 albertel 153: }
154:
1.1 harris41 155: sub hinton {
156: return 0;
157: }
158:
159: sub random {
160: my ($start,$end,$step)=@_;
1.3 albertel 161: if ( ! $RANDOMINIT ) { srand($external::randomseed); $RANDOMINIT=1; }
1.1 harris41 162: my $num=1+int(($end-$start)/$step);
163: my $result=$start + int(rand() * $num)*$step;
164: return $result;
165: }
166:
1.26 ng 167: sub random_normal {
168: my ($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,$p);
298: return @retArray;
299: }
300:
1.23 ng 301: sub abs { abs(shift) }
302: sub sin { sin(shift) }
303: sub cos { cos(shift) }
304: sub exp { exp(shift) }
305: sub int { int(shift) }
306: sub log { log(shift) }
307: sub atan2 { atan2($_[0],$_[1]) }
308: sub sqrt { sqrt(shift) }
309:
1.1 harris41 310: sub tan { sin($_[0]) / cos($_[0]) }
1.21 harris41 311: #sub atan { atan2($_[0], 1); }
312: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
313: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
1.22 ng 314:
1.18 albertel 315: sub log10 { log($_[0])/log(10); }
1.22 ng 316:
1.20 harris41 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 $b } @_;
340: return pop @sorted;
341: }
1.1 harris41 342:
1.20 harris41 343: sub roundto {
344: my ($input,$n) = @_;
345: return sprintf('%.'.$n.'f',$input);
346: }
347:
348: sub to_string {
349: my ($input,$n) = @_;
1.26 ng 350: return sprintf($input) if $n eq "";
351: $n = '.'.$n if $n !~ /^\./;
1.20 harris41 352: return sprintf('%'.$n,$input) if $n ne "";
353: }
354:
355: sub sub_string {
356: my ($str,$start,$len) = @_;
357: return substr($str,$start-1,$len);
358: }
1.1 harris41 359:
360: sub pow {return $_[0] ** $_[1]; }
1.27 ng 361: sub ceil {return (($_[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($_[0]); }
1.1 harris41 364:
1.2 albertel 365: sub format {
366: my ($value,$fmt)=@_;
1.11 albertel 367: return sprintf('%.'.$fmt,$value);
1.2 albertel 368: }
1.5 albertel 369:
370: sub map {
1.27 ng 371: my ($phrase,$dest,$source)=@_;
372: my @seed = &random_seed_from_phrase($phrase);
373: &random_set_seed(@seed);
374: my $destct = scalar(@$dest);
1.28 ! ng 375: if (!$source) {
! 376: my @output;
! 377: my @idx = &math_random_permuted_index($destct);
! 378: my $ctr = 0;
! 379: while ($ctr < $destct) {
! 380: $output[$ctr] = $$dest[$idx[$ctr]];
1.27 ng 381: $ctr++;
1.28 ! ng 382: }
! 383: return @output;
1.27 ng 384: } else {
1.28 ! ng 385: my $num = scalar(@$source);
! 386: my @idx = &math_random_permuted_index($num);
! 387: my $ctr = 0;
! 388: my $tot = $num;
! 389: $tot = $destct if $destct < $num;
! 390: if (ref($$dest[0])) {
! 391: while ($ctr < $tot) {
! 392: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
! 393: $ctr++;
! 394: }
! 395: } else {
! 396: while ($ctr < $tot) {
! 397: $$dest[$ctr] = $$source[$idx[$ctr]];
! 398: $ctr++;
! 399: }
! 400: }
1.27 ng 401: }
402: }
403:
404: sub rmap {
405: my ($phrase,$dest,$source)=@_;
406: my @seed = &random_seed_from_phrase($phrase);
407: &random_set_seed(@seed);
408: my $destct = scalar(@$dest);
1.28 ! ng 409: if (!$source) {
! 410: my @idx = &math_random_permuted_index($destct);
! 411: my $ctr = 0;
! 412: my @r_idx;
! 413: while ($ctr < $destct) {
! 414: $r_idx[$idx[$ctr]] = $ctr;
! 415: $ctr++;
! 416: }
! 417: my @output;
! 418: $ctr = 0;
! 419: while ($ctr < $destct) {
! 420: $output[$ctr] = $$dest[$r_idx[$ctr]];
1.27 ng 421: $ctr++;
1.28 ! ng 422: }
! 423: return @output;
1.27 ng 424: } else {
1.28 ! ng 425: my $num = scalar(@$source);
! 426: my @idx = &math_random_permuted_index($num);
! 427: my $ctr = 0;
! 428: my $tot = $num;
! 429: $tot = $destct if $destct < $num;
! 430: my @r_idx;
1.27 ng 431: while ($ctr < $tot) {
1.28 ! ng 432: $r_idx[$idx[$ctr]] = $ctr;
1.27 ng 433: $ctr++;
1.28 ! ng 434: }
! 435: $ctr = 0;
! 436: if (ref($$dest[0])) {
! 437: while ($ctr < $tot) {
! 438: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
! 439: $ctr++;
! 440: }
! 441: } else {
! 442: while ($ctr < $tot) {
! 443: $$dest[$ctr] = $$source[$r_idx[$ctr]];
! 444: $ctr++;
! 445: }
! 446: }
1.6 albertel 447: }
1.5 albertel 448: }
1.22 ng 449:
1.23 ng 450: sub capa_id { return }
451:
452: sub problem { return }
453:
1.22 ng 454: sub name{
455: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
456: $fullname = "" if $fullname eq ", ";
1.26 ng 457: $fullname =~ s/\%2d/-/g;
1.22 ng 458: return $fullname;
459: }
460:
461: sub student_number {
462: my $id = &EXT('environment.id');
463: $id = '' if $id eq "";
464: return $id;
465: }
466:
467: sub class {
468: my $course = &EXT('course.description');
469: $course = '' if $course eq "";
470: return $course;
471: }
472:
473: sub sec {
474: my $sec = &EXT('request.course.sec');
1.23 ng 475: $sec = '' if $sec eq "";
1.22 ng 476: return $sec;
477: }
478:
1.23 ng 479: sub open_date {
480: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
1.24 ng 481: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
482: my @hm = split(/:/,$dc[3]);
483: my $ampm = " am";
484: if ($hm[0] > 12) {
485: $hm[0]-=12;
486: $ampm = " pm";
487: }
488: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
1.23 ng 489: }
490:
491: sub due_date {
492: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
1.24 ng 493: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
494: my @hm = split(/:/,$dc[3]);
495: my $ampm = " am";
496: if ($hm[0] > 12) {
497: $hm[0]-=12;
498: $ampm = " pm";
499: }
500: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
501: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
1.23 ng 502: }
503:
504: sub answer_date {
505: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
1.24 ng 506: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
507: my @hm = split(/:/,$dc[3]);
508: my $ampm = " am";
509: if ($hm[0] > 12) {
510: $hm[0]-=12;
511: $ampm = " pm";
512: }
513: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
514: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
515: }
516:
517: sub array_moments {
518: my @input=@_;
519: my (@output,$N);
520: $N=scalar (@input);
521: $output[0]=$N;
522: if ($N <= 1) {
523: $output[1]=$input[0];
1.28 ! ng 524: $output[1]="Input array not defined" if ($N == 0);
1.24 ng 525: $output[2]="variance undefined for N<=1";
526: $output[3]="skewness undefined for N<=1";
527: $output[4]="kurtosis undefined for N<=1";
528: return @output;
529: }
530: my $sum=0;
531: foreach my $line (@input) {
532: $sum+=$line;
533: }
534: $output[1] = $sum/$N;
535: my ($x,$sdev,$var,$skew,$kurt) = 0;
536: foreach my $line (@input) {
537: $x=$line-$output[1];
538: $var+=$x**2;
539: $skew+=$x**3;
540: $kurt+=$x**4;
541: }
542: $output[2]=$var/($N-1);
543: $sdev=sqrt($output[2]);
544: if ($sdev == 0) {
545: $output[3]="inf-variance=0";
546: $output[4]="inf-variance=0";
547: return @output;
548: }
549: $output[3]=$skew/($sdev**3*$N);
550: $output[4]=$kurt/($sdev**4*$N)-3;
551: return @output;
552: }
1.5 albertel 553:
554: sub choose {
555: my $num = $_[0];
556: return $_[$num];
557: }
1.23 ng 558:
559:
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