Annotation of loncom/homework/default_homework.lcpm, revision 1.59
1.42 albertel 1: # The LearningOnline Network with CAPA
1.1 harris41 2: # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
1.42 albertel 3: #
1.59 ! albertel 4: # $Id: default_homework.lcpm,v 1.58 2003/03/25 22:53:22 albertel Exp $
1.42 albertel 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: #
1.20 harris41 28: #
29: # Guy Albertelli
30: #
31: # 05/25/2001 H. K. Ng
1.24 ng 32: # 05/31/2001 H. K. Ng
1.44 matthew 33: # 12/21/2001 Matthew
1.20 harris41 34: #
1.25 albertel 35: #init some globals
1.38 albertel 36: $hidden::RANDOMINIT=0;
1.22 ng 37: $pi=atan2(1,1)*4;
38: $rad2deg=180.0/$pi;
39: $deg2rad=$pi/180.0;
1.44 matthew 40: $"=' ';
1.3 albertel 41:
1.7 albertel 42: sub caparesponse_check {
1.36 albertel 43: #not properly used yet: calc
44: #not to be used: $ans_fmt
1.39 albertel 45: my ($answer,$type,$tol,$sig,$ans_fmt,$unit,$calc,$samples) =
46: eval $_[1].
47: ';return ($answer,$type,$tol,$sig,$ans_fmt,$unit,$calc,$samples);';
1.36 albertel 48:
1.10 albertel 49: my $tol_type=''; # gets it's value from whether tol has a % or not done
1.19 albertel 50: my $sig_lbound=''; #done
51: my $sig_ubound=''; #done
1.7 albertel 52: my ($response,$expr)=@_;
1.31 albertel 53:
1.32 albertel 54:
1.8 albertel 55: #type's definitons come from capaParser.h
1.31 albertel 56: my $message='';
1.32 albertel 57: #remove leading and trailing whitespace
58: if ($response=~ /^\s|\s$/) {
59: $response=~ s:^\s+|\s+$::g;
1.52 albertel 60: $message .="Removed ws now :$response:\n";
1.32 albertel 61: } else {
1.52 albertel 62: $message .="no ws in :$response:\n";
1.32 albertel 63: }
64:
1.8 albertel 65: if ($type eq '' ) {
1.52 albertel 66: $message .= "Didn't find a type :$type:$expr: defaulting\n";
1.8 albertel 67: if ( $answer eq ($answer *1.0)) { $type = 2;
68: } else { $type = 3; }
69: } else {
70: if ($type eq 'cs') { $type = 4;
71: } elsif ($type eq 'ci') { $type = 3;
72: } elsif ($type eq 'mc') { $type = 5;
73: } elsif ($type eq 'fml') { $type = 8;
1.9 albertel 74: } elsif ($type eq 'subj') { $type = 7;
1.41 albertel 75: } elsif ($type eq 'float') { $type = 2;
76: } elsif ($type eq 'int') { $type = 1;
1.9 albertel 77: } else { return "ERROR: Unknown type of answer: $type" }
1.8 albertel 78: }
79:
1.39 albertel 80: my $points;
81: my $id_list;
82: #formula type setup the sample points
83: if ($type eq '8') {
84: ($id_list,$points)=split(/@/,$samples);
1.52 albertel 85: $message.="Found :$points: points\n";
1.39 albertel 86: }
1.10 albertel 87: if ($tol eq '') {
88: $tol=0.0;
89: $tol_type=1; #TOL_ABSOLUTE
90: } else {
91: if ($tol =~ /%$/) {
1.12 albertel 92: chop $tol;
1.10 albertel 93: $tol_type=2; #TOL_PERCENTAGE
94: } else {
95: $tol_type=1; #TOL_ABSOLUTE
96: }
97: }
1.12 albertel 98:
99: if ($sig eq '') {
100: $sig_lbound = 0; #SIG_LB_DEFAULT
101: $sig_ubound =15; #SIG_UB_DEFAULT
102: } else {
103: ($sig_lbound,$sig_ubound) = split /,/,$sig;
1.53 albertel 104: if (!defined($sig_lbound)) {
1.45 albertel 105: $sig_lbound = 0; #SIG_LB_DEFAULT
106: $sig_ubound =15; #SIG_UB_DEFAULT
107: }
1.53 albertel 108: if (!defined($sig_ubound)) { $sig_ubound=$sig_lbound; }
1.12 albertel 109: }
1.7 albertel 110: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
1.10 albertel 111: $tol_type,$tol,
1.7 albertel 112: $sig_lbound,$sig_ubound,
1.39 albertel 113: $ans_fmt,$unit,$calc,$id_list,
114: $points,$external::randomseed);
1.9 albertel 115:
116: if ($result == '1') { $result='EXACT_ANS'; }
117: elsif ($result == '2') { $result='APPROX_ANS'; }
118: elsif ($result == '3') { $result='SIG_FAIL'; }
119: elsif ($result == '4') { $result='UNIT_FAIL'; }
120: elsif ($result == '5') { $result='NO_UNIT'; }
121: elsif ($result == '6') { $result='UNIT_OK'; }
122: elsif ($result == '7') { $result='INCORRECT'; }
123: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
124: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
125: elsif ($result =='10') { $result='SUB_RECORDED'; }
126: elsif ($result =='11') { $result='BAD_FORMULA'; }
127: elsif ($result =='12') { $result='WANTED_NUMERIC'; }
1.13 albertel 128: else {$result = "ERROR: Unknown Result:$result:$@:";}
1.9 albertel 129:
1.52 albertel 130: return "$result:\nError $error:\nAnswer $answer:\nResponse $response:\n type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|\n$message$expr";
1.14 albertel 131: }
132:
1.37 albertel 133: sub get_array_args {
134: my ($expr,$arg)=@_;
1.30 albertel 135: # do these first, because who knows what varname the instructor might have used
136: # but it probably isn't $CAPARESPONSE_CHECK_LIST_answer
1.37 albertel 137: my $CAPARESPONSE_CHECK_LIST_answer = eval $expr.';return $'.$arg; #'
1.40 albertel 138: my $GET_ARRAY_ARGS_result;
139: my @GET_ARRAY_ARGS_list;
1.39 albertel 140: if ($CAPARESPONSE_CHECK_LIST_answer =~ /^\s*[\$\@]/) {
1.40 albertel 141: (@GET_ARRAY_ARGS_list) = eval $CAPARESPONSE_CHECK_LIST_answer;
1.39 albertel 142: }
1.52 albertel 143: $GET_ARRAY_ARGS_result.="error:$@:\n";
1.31 albertel 144: # if the eval fails just use what is in the answer exactly
1.40 albertel 145: if (!defined(@GET_ARRAY_ARGS_list) || !defined($GET_ARRAY_ARGS_list[0])) {
1.52 albertel 146: $GET_ARRAY_ARGS_result.="list zero is undefined\n";
1.40 albertel 147: $GET_ARRAY_ARGS_list[0]=$CAPARESPONSE_CHECK_LIST_answer;
1.31 albertel 148: }
1.40 albertel 149: return $GET_ARRAY_ARGS_result,@GET_ARRAY_ARGS_list;
1.37 albertel 150: }
151:
152: sub caparesponse_check_list {
153: my ($response,$expr)=@_;
1.40 albertel 154: my $result;
1.57 albertel 155: $expr =~ s/\\/\\\\/g;
156: $expr =~ s/\'/\\\'/g;
1.40 albertel 157: my ($result,@list) = &get_array_args($expr,'answer');
1.15 albertel 158: my $aresult='';
1.14 albertel 159: my $current_answer;
1.39 albertel 160: my $answers=join(':',@list);
1.52 albertel 161: $result.="Got response :$answers:\n";
1.31 albertel 162: my @responselist;
1.32 albertel 163: my $type =eval $expr.';return $answer;';
1.31 albertel 164: if ($type ne '' && $#list > 0) {
165: (@responselist)=split /,/,$response;
166: } else {
167: (@responselist)=($response);
168: }
1.15 albertel 169: my $unit='';
1.52 albertel 170: $result.="Initial final response :$responselist['-1']:\n";
1.31 albertel 171: if ($type eq '') {
172: #for numerical problems split off the unit
173: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
174: $responselist['-1']=$1;
175: $unit=$2;
176: }
1.15 albertel 177: }
1.52 albertel 178: $result.="Final final response :$responselist['-1']:\n";
179: $result.=":$#list: answers\n";
1.14 albertel 180: $unit=~s/\s//;
181: my $i=0;
182: my $awards='';
183: for ($i=0; $i<@list;$i++) {
1.52 albertel 184: $result.="trying answer :$list[$i]:\n";
1.57 albertel 185: my $thisanswer=$list[$i];
186: $thisanswer=~ s/\\/\\\\/g;
187: $thisanswer =~ s/\'/\\\'/g;
1.19 albertel 188: if ($unit eq '') {
189: $aresult=&caparesponse_check($responselist[$i],
1.57 albertel 190: $expr.';my $answer=\''.$thisanswer.'\';');
1.19 albertel 191: } else {
192: $aresult=&caparesponse_check($responselist[$i]." $unit",
1.57 albertel 193: $expr.';my $answer=\''.$thisanswer.'\';');
1.19 albertel 194: }
1.15 albertel 195: my ($temp)=split /:/, $aresult;
1.14 albertel 196: $awards.="$temp,";
1.15 albertel 197: $result.=$aresult;
1.14 albertel 198: }
199: chop $awards;
1.52 albertel 200: return "$awards:\n$result";
1.7 albertel 201: }
202:
1.4 albertel 203: sub tex {
204: if ( $external::target eq "tex" ) {
1.58 albertel 205: return $_[0];
1.4 albertel 206: } else {
1.58 albertel 207: return $_[1];
1.4 albertel 208: }
209: }
210:
1.24 ng 211: sub var_in_tex {
212: if ( $external::target eq "tex" ) {
1.58 albertel 213: return $_[0];
1.24 ng 214: } else {
215: return "";
216: }
217: }
218:
1.4 albertel 219: sub web {
220: if ( $external::target eq "tex" ) {
1.58 albertel 221: return $_[1];
1.4 albertel 222: } else {
1.43 albertel 223: if ( $external::target eq "web" || $external::target eq "answer") {
1.58 albertel 224: return $_[2];
1.26 ng 225: } else {
1.58 albertel 226: return $_[0];
1.4 albertel 227: }
228: }
229: }
230:
1.24 ng 231: sub html {
232: if ( $external::target eq "web" ) {
1.26 ng 233: return shift;
1.24 ng 234: }
235: }
236:
1.1 harris41 237: sub hinton {
238: return 0;
239: }
240:
241: sub random {
242: my ($start,$end,$step)=@_;
1.38 albertel 243: if ( ! $hidden::RANDOMINIT ) {
1.55 albertel 244: if ($external::randomseed == 0) { $external::randomseed=1; }
245: &random_set_seed(1,int(abs($external::randomseed)));
1.54 albertel 246: &math_random_uniform();
1.38 albertel 247: $hidden::RANDOMINIT=1;
248: }
1.45 albertel 249: if (!defined($step)) { $step=1; }
1.1 harris41 250: my $num=1+int(($end-$start)/$step);
1.51 albertel 251: my $result=$start + int(&math_random_uniform() * $num)*$step;
1.1 harris41 252: return $result;
253: }
254:
1.26 ng 255: sub random_normal {
256: my ($item_cnt,$seed,$av,$std_dev) = @_;
1.51 albertel 257: my @oldseed=&random_get_seed();
1.26 ng 258: my @retArray;
259: &random_set_seed_from_phrase($seed);
260: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
1.51 albertel 261: &random_set_seed(@oldseed);
1.26 ng 262: return @retArray;
263: }
264:
265: sub random_beta {
266: my ($item_cnt,$seed,$aa,$bb) = @_;
1.51 albertel 267: my @oldseed=&random_get_seed();
1.26 ng 268: my @retArray;
269: &random_set_seed_from_phrase($seed);
270: @retArray=&math_random_beta($item_cnt,$aa,$bb);
1.51 albertel 271: &random_set_seed(@oldseed);
1.26 ng 272: return @retArray;
273: }
274:
275: sub random_gamma {
276: my ($item_cnt,$seed,$a,$r) = @_;
1.51 albertel 277: my @oldseed=&random_get_seed();
1.26 ng 278: my @retArray;
279: &random_set_seed_from_phrase($seed);
280: @retArray=&math_random_gamma($item_cnt,$a,$r);
1.51 albertel 281: &random_set_seed(@oldseed);
1.26 ng 282: return @retArray;
283: }
284:
285: sub random_exponential {
286: my ($item_cnt,$seed,$av) = @_;
1.51 albertel 287: my @oldseed=&random_get_seed();
1.26 ng 288: my @retArray;
289: &random_set_seed_from_phrase($seed);
290: @retArray=&math_random_exponential($item_cnt,$av);
1.51 albertel 291: &random_set_seed(@oldseed);
1.26 ng 292: return @retArray;
293: }
294:
295: sub random_poisson {
296: my ($item_cnt,$seed,$mu) = @_;
1.51 albertel 297: my @oldseed=&random_get_seed();
1.26 ng 298: my @retArray;
299: &random_set_seed_from_phrase($seed);
300: @retArray=&math_random_poisson($item_cnt,$mu);
1.51 albertel 301: &random_set_seed(@oldseed);
1.26 ng 302: return @retArray;
303: }
304:
305: sub random_chi {
306: my ($item_cnt,$seed,$df) = @_;
1.51 albertel 307: my @oldseed=&random_get_seed();
1.26 ng 308: my @retArray;
309: &random_set_seed_from_phrase($seed);
310: @retArray=&math_random_chi_square($item_cnt,$df);
1.51 albertel 311: &random_set_seed(@oldseed);
1.26 ng 312: return @retArray;
313: }
314:
315: sub random_noncentral_chi {
316: my ($item_cnt,$seed,$df,$nonc) = @_;
1.51 albertel 317: my @oldseed=&random_get_seed();
1.26 ng 318: my @retArray;
319: &random_set_seed_from_phrase($seed);
320: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
1.51 albertel 321: &random_set_seed(@oldseed);
1.26 ng 322: return @retArray;
323: }
324:
325: sub random_f {
326: my ($item_cnt,$seed,$dfn,$dfd) = @_;
1.51 albertel 327: my @oldseed=&random_get_seed();
1.26 ng 328: my @retArray;
329: &random_set_seed_from_phrase($seed);
330: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
1.51 albertel 331: &random_set_seed(@oldseed);
1.26 ng 332: return @retArray;
333: }
334:
335: sub random_noncentral_f {
336: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
1.51 albertel 337: my @oldseed=&random_get_seed();
1.26 ng 338: my @retArray;
339: &random_set_seed_from_phrase($seed);
340: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
1.51 albertel 341: &random_set_seed(@oldseed);
1.26 ng 342: return @retArray;
343: }
344:
345: sub random_multivariate_normal {
1.33 ng 346: my ($item_cnt,$seed,$mean,$covar) = @_;
1.51 albertel 347: my @oldseed=&random_get_seed();
1.26 ng 348: &random_set_seed_from_phrase($seed);
1.33 ng 349: @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
1.51 albertel 350: &random_set_seed(@oldseed);
1.26 ng 351: return @retArray;
352: }
353:
354: sub random_multinomial {
355: my ($item_cnt,$seed,@p) = @_;
1.51 albertel 356: my @oldseed=&random_get_seed();
1.26 ng 357: my @retArray;
358: &random_set_seed_from_phrase($seed);
359: @retArray=&math_random_multinomial($item_cnt,@p);
1.51 albertel 360: &random_set_seed(@oldseed);
1.26 ng 361: return @retArray;
362: }
363:
364: sub random_permutation {
365: my ($seed,@inArray) = @_;
1.51 albertel 366: my @oldseed=&random_get_seed();
1.26 ng 367: my @retArray;
368: &random_set_seed_from_phrase($seed);
369: @retArray=&math_random_permutation(@inArray);
1.51 albertel 370: &random_set_seed(@oldseed);
1.26 ng 371: return @retArray;
372: }
373:
374: sub random_uniform {
375: my ($item_cnt,$seed,$low,$high) = @_;
1.51 albertel 376: my @oldseed=&random_get_seed();
1.26 ng 377: my @retArray;
378: &random_set_seed_from_phrase($seed);
379: @retArray=&math_random_uniform($item_cnt,$low,$high);
1.51 albertel 380: &random_set_seed(@oldseed);
1.26 ng 381: return @retArray;
382: }
383:
384: sub random_uniform_integer {
385: my ($item_cnt,$seed,$low,$high) = @_;
1.51 albertel 386: my @oldseed=&random_get_seed();
1.26 ng 387: my @retArray;
388: &random_set_seed_from_phrase($seed);
389: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
1.51 albertel 390: &random_set_seed(@oldseed);
1.26 ng 391: return @retArray;
392: }
393:
394: sub random_binomial {
395: my ($item_cnt,$seed,$nt,$p) = @_;
1.51 albertel 396: my @oldseed=&random_get_seed();
1.26 ng 397: my @retArray;
398: &random_set_seed_from_phrase($seed);
399: @retArray=&math_random_binomial($item_cnt,$nt,$p);
1.51 albertel 400: &random_set_seed(@oldseed);
1.26 ng 401: return @retArray;
402: }
403:
404: sub random_negative_binomial {
405: my ($item_cnt,$seed,$ne,$p) = @_;
1.51 albertel 406: my @oldseed=&random_get_seed();
1.26 ng 407: my @retArray;
408: &random_set_seed_from_phrase($seed);
409: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
1.51 albertel 410: &random_set_seed(@oldseed);
1.26 ng 411: return @retArray;
412: }
413:
1.23 ng 414: sub abs { abs(shift) }
415: sub sin { sin(shift) }
416: sub cos { cos(shift) }
417: sub exp { exp(shift) }
418: sub int { int(shift) }
419: sub log { log(shift) }
420: sub atan2 { atan2($_[0],$_[1]) }
421: sub sqrt { sqrt(shift) }
422:
1.59 ! albertel 423: sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
1.21 harris41 424: #sub atan { atan2($_[0], 1); }
425: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
426: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
1.22 ng 427:
1.59 ! albertel 428: sub log10 { CORE::log($_[0])/CORE::log(10); }
1.22 ng 429:
1.20 harris41 430: sub factorial {
1.59 ! albertel 431: my $input = CORE::int(shift);
1.20 harris41 432: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
433: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
434: return 1 if $input == 0;
435: my $result = 1;
436: for (my $i=2; $i<=$input; $i++) { $result *= $i }
437: return $result;
438: }
439:
440: sub sgn {
441: return -1 if $_[0] < 0;
442: return 0 if $_[0] == 0;
443: return 1 if $_[0] > 0;
444: }
445:
446: sub min {
447: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
448: return shift @sorted;
449: }
450:
451: sub max {
452: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
453: return pop @sorted;
454: }
1.1 harris41 455:
1.20 harris41 456: sub roundto {
457: my ($input,$n) = @_;
458: return sprintf('%.'.$n.'f',$input);
459: }
460:
461: sub to_string {
462: my ($input,$n) = @_;
1.26 ng 463: return sprintf($input) if $n eq "";
464: $n = '.'.$n if $n !~ /^\./;
1.20 harris41 465: return sprintf('%'.$n,$input) if $n ne "";
466: }
467:
468: sub sub_string {
469: my ($str,$start,$len) = @_;
470: return substr($str,$start-1,$len);
471: }
1.1 harris41 472:
473: sub pow {return $_[0] ** $_[1]; }
1.59 ! albertel 474: sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
! 475: sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
1.27 ng 476: #sub floor {return int($_[0]); }
1.1 harris41 477:
1.2 albertel 478: sub format {
479: my ($value,$fmt)=@_;
1.48 albertel 480: my $dollarmode;
481: if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; }
482: my $result=sprintf('%.'.$fmt,$value);
1.50 albertel 483: $result=~s/(E[+-]*)0/$1/;
1.48 albertel 484: if ($dollarmode) {$result=&dollarmode($result);}
485: return $result;
1.46 albertel 486: }
487:
488: sub prettyprint {
489: my ($value,$fmt)=@_;
490: my $result;
1.48 albertel 491: my $dollarmode;
492: if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; }
1.46 albertel 493: if ($fmt) { $value=sprintf('%.'.$fmt,$value); }
494: if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/ ) {
495: my $frac=$1;
1.48 albertel 496: if ($dollarmode) { $frac=&dollarformat($frac); }
1.46 albertel 497: my $exponent=$2;
498: $exponent=~s/^\+0*//;
1.50 albertel 499: $exponent=~s/^-0*/-/;
1.48 albertel 500: if ($exponent) {
501: if ($external::target eq 'web') {
502: $result=$frac.'×10<sup>'.$exponent.'</sup>';
503: } elsif ($external::target eq 'tex') {
504: $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
505: } else {
506: $result=$value;
507: }
1.46 albertel 508: } else {
1.48 albertel 509: $result=$frac;
1.46 albertel 510: }
511: } else {
512: $result=$value;
1.48 albertel 513: if ($dollarmode) { $result=&dollarformat($result); }
1.46 albertel 514: }
515: return $result;
1.48 albertel 516: }
517:
518: sub dollarformat {
519: my ($number) = @_;
520: if ($number =~ /\./) {
521: while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*$)/) {
522: $number = $1.','.$2.$3;
523: }
524: } else {
525: while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) {
526: $number = $1.','.$2.$3;
527: }
528: }
529: if ($external::target eq 'tex') {
530: $number='\$'.$number; #' stupid emacs
531: } else {
532: $number='$'.$number; #' stupid emacs
533: }
534: return $number;
1.2 albertel 535: }
1.5 albertel 536:
537: sub map {
1.27 ng 538: my ($phrase,$dest,$source)=@_;
1.51 albertel 539: my @oldseed=&random_get_seed();
1.27 ng 540: my @seed = &random_seed_from_phrase($phrase);
541: &random_set_seed(@seed);
542: my $destct = scalar(@$dest);
1.28 ng 543: if (!$source) {
544: my @output;
545: my @idx = &math_random_permuted_index($destct);
546: my $ctr = 0;
547: while ($ctr < $destct) {
548: $output[$ctr] = $$dest[$idx[$ctr]];
1.27 ng 549: $ctr++;
1.28 ng 550: }
1.51 albertel 551: &random_set_seed(@oldseed);
1.28 ng 552: return @output;
1.27 ng 553: } else {
1.28 ng 554: my $num = scalar(@$source);
555: my @idx = &math_random_permuted_index($num);
556: my $ctr = 0;
557: my $tot = $num;
558: $tot = $destct if $destct < $num;
559: if (ref($$dest[0])) {
560: while ($ctr < $tot) {
561: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
562: $ctr++;
563: }
564: } else {
565: while ($ctr < $tot) {
566: $$dest[$ctr] = $$source[$idx[$ctr]];
567: $ctr++;
568: }
569: }
1.27 ng 570: }
1.56 albertel 571: &random_set_seed(@oldseed);
1.51 albertel 572: return '';
1.27 ng 573: }
574:
575: sub rmap {
576: my ($phrase,$dest,$source)=@_;
1.51 albertel 577: my @oldseed=&random_get_seed();
1.27 ng 578: my @seed = &random_seed_from_phrase($phrase);
579: &random_set_seed(@seed);
580: my $destct = scalar(@$dest);
1.28 ng 581: if (!$source) {
582: my @idx = &math_random_permuted_index($destct);
583: my $ctr = 0;
584: my @r_idx;
585: while ($ctr < $destct) {
586: $r_idx[$idx[$ctr]] = $ctr;
587: $ctr++;
588: }
589: my @output;
590: $ctr = 0;
591: while ($ctr < $destct) {
592: $output[$ctr] = $$dest[$r_idx[$ctr]];
1.27 ng 593: $ctr++;
1.28 ng 594: }
1.51 albertel 595: &random_set_seed(@oldseed);
1.28 ng 596: return @output;
1.27 ng 597: } else {
1.28 ng 598: my $num = scalar(@$source);
599: my @idx = &math_random_permuted_index($num);
600: my $ctr = 0;
601: my $tot = $num;
602: $tot = $destct if $destct < $num;
603: my @r_idx;
1.27 ng 604: while ($ctr < $tot) {
1.28 ng 605: $r_idx[$idx[$ctr]] = $ctr;
1.27 ng 606: $ctr++;
1.28 ng 607: }
608: $ctr = 0;
609: if (ref($$dest[0])) {
610: while ($ctr < $tot) {
611: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
612: $ctr++;
613: }
614: } else {
615: while ($ctr < $tot) {
616: $$dest[$ctr] = $$source[$r_idx[$ctr]];
617: $ctr++;
618: }
619: }
1.6 albertel 620: }
1.51 albertel 621: &random_set_seed(@oldseed);
622: return '';
1.5 albertel 623: }
1.22 ng 624:
1.23 ng 625: sub capa_id { return }
626:
627: sub problem { return }
628:
1.22 ng 629: sub name{
630: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
631: $fullname = "" if $fullname eq ", ";
1.26 ng 632: $fullname =~ s/\%2d/-/g;
1.22 ng 633: return $fullname;
634: }
635:
636: sub student_number {
637: my $id = &EXT('environment.id');
638: $id = '' if $id eq "";
639: return $id;
640: }
641:
642: sub class {
643: my $course = &EXT('course.description');
644: $course = '' if $course eq "";
645: return $course;
646: }
647:
648: sub sec {
649: my $sec = &EXT('request.course.sec');
1.23 ng 650: $sec = '' if $sec eq "";
1.22 ng 651: return $sec;
652: }
653:
1.23 ng 654: sub open_date {
655: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
1.24 ng 656: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
657: my @hm = split(/:/,$dc[3]);
658: my $ampm = " am";
659: if ($hm[0] > 12) {
660: $hm[0]-=12;
661: $ampm = " pm";
662: }
663: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
1.23 ng 664: }
665:
666: sub due_date {
667: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
1.24 ng 668: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
669: my @hm = split(/:/,$dc[3]);
670: my $ampm = " am";
671: if ($hm[0] > 12) {
672: $hm[0]-=12;
673: $ampm = " pm";
674: }
675: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
676: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
1.23 ng 677: }
678:
679: sub answer_date {
680: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
1.24 ng 681: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
682: my @hm = split(/:/,$dc[3]);
683: my $ampm = " am";
684: if ($hm[0] > 12) {
685: $hm[0]-=12;
686: $ampm = " pm";
687: }
688: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
689: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
690: }
691:
692: sub array_moments {
693: my @input=@_;
694: my (@output,$N);
695: $N=scalar (@input);
696: $output[0]=$N;
697: if ($N <= 1) {
698: $output[1]=$input[0];
1.28 ng 699: $output[1]="Input array not defined" if ($N == 0);
1.24 ng 700: $output[2]="variance undefined for N<=1";
701: $output[3]="skewness undefined for N<=1";
702: $output[4]="kurtosis undefined for N<=1";
703: return @output;
704: }
705: my $sum=0;
706: foreach my $line (@input) {
707: $sum+=$line;
708: }
709: $output[1] = $sum/$N;
710: my ($x,$sdev,$var,$skew,$kurt) = 0;
711: foreach my $line (@input) {
712: $x=$line-$output[1];
713: $var+=$x**2;
714: $skew+=$x**3;
715: $kurt+=$x**4;
716: }
717: $output[2]=$var/($N-1);
1.59 ! albertel 718: $sdev=CORE::sqrt($output[2]);
1.24 ng 719: if ($sdev == 0) {
720: $output[3]="inf-variance=0";
721: $output[4]="inf-variance=0";
722: return @output;
723: }
724: $output[3]=$skew/($sdev**3*$N);
725: $output[4]=$kurt/($sdev**4*$N)-3;
726: return @output;
727: }
1.5 albertel 728:
729: sub choose {
730: my $num = $_[0];
731: return $_[$num];
732: }
1.23 ng 733:
1.49 albertel 734: # expiremental idea
735: sub proper_path {
736: my ($path)=@_;
737: if ( $external::target eq "tex" ) {
738: return '/home/httpd/html'.$path;
739: } else {
740: return $path;
741: }
742: }
1.23 ng 743:
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