Annotation of loncom/homework/default_homework.lcpm, revision 1.73
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: #
1.73 ! albertel 4: # $Id: default_homework.lcpm,v 1.72 2004/03/13 00:36:11 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 {
1.73 ! albertel 43: #not properly used yet: calc
! 44: #not to be used: $ans_fmt
! 45: my ($type,$tol,$sig,$ans_fmt,$unit,$calc,$samples) =
! 46: eval $_[2].
! 47: ';return ($__LC__type,$__LC__tol,$__LC__sig,$__LC__ans_fmt,$__LC__unit,$__LC__calc,$__LC__samples);';
! 48:
! 49: my $tol_type=''; # gets it's value from whether tol has a % or not done
! 50: my $sig_lbound=''; #done
! 51: my $sig_ubound=''; #done
! 52: my ($answer,$response,$expr)=@_;
! 53:
! 54:
! 55: #type's definitons come from capaParser.h
! 56: my $message='';
! 57: #remove leading and trailing whitespace
! 58: if (!defined($response)) {
! 59: $response='';
! 60: }
! 61: if ($response=~ /^\s|\s$/) {
! 62: $response=~ s:^\s+|\s+$::g;
! 63: $message .="Removed ws now :$response:\n";
! 64: } else {
! 65: $message .="no ws in :$response:\n";
! 66: }
! 67:
! 68: if (length($response) > 500) { return "TOO_LONG: Answer too long"; }
! 69:
! 70: if ($type eq '' ) {
! 71: $message .= "Didn't find a type :$type:$expr: defaulting\n";
! 72: if ( $answer eq ($answer *1.0)) { $type = 2;
! 73: } else { $type = 3; }
! 74: } else {
! 75: if ($type eq 'cs') { $type = 4; }
! 76: elsif ($type eq 'ci') { $type = 3 }
! 77: elsif ($type eq 'mc') { $type = 5; }
! 78: elsif ($type eq 'fml') { $type = 8; }
! 79: elsif ($type eq 'subj') { $type = 7; }
! 80: elsif ($type eq 'float') { $type = 2; }
! 81: elsif ($type eq 'int') { $type = 1; }
! 82: else { return "ERROR: Unknown type of answer: $type" }
! 83: }
! 84:
! 85: my $points;
! 86: my $id_list;
! 87: #formula type setup the sample points
! 88: if ($type eq '8') {
! 89: ($id_list,$points)=split(/@/,$samples);
! 90: $message.="Found :$id_list:$points: points in $samples\n";
! 91: }
! 92: if ($tol eq '') {
! 93: $tol=0.0;
! 94: $tol_type=1; #TOL_ABSOLUTE
! 95: } else {
! 96: if ($tol =~ /%$/) {
! 97: chop $tol;
! 98: $tol_type=2; #TOL_PERCENTAGE
! 99: } else {
! 100: $tol_type=1; #TOL_ABSOLUTE
! 101: }
! 102: }
! 103:
! 104: if ($sig eq '') {
! 105: $sig_lbound = 0; #SIG_LB_DEFAULT
! 106: $sig_ubound =15; #SIG_UB_DEFAULT
! 107: } else {
! 108: ($sig_lbound,$sig_ubound) = split /,/,$sig;
! 109: if (!defined($sig_lbound)) {
! 110: $sig_lbound = 0; #SIG_LB_DEFAULT
! 111: $sig_ubound =15; #SIG_UB_DEFAULT
! 112: }
! 113: if (!defined($sig_ubound)) { $sig_ubound=$sig_lbound; }
! 114: }
! 115: my $reterror="";
! 116: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
! 117: $tol_type,$tol,
! 118: $sig_lbound,$sig_ubound,
! 119: $ans_fmt,$unit,$calc,$id_list,
! 120: $points,$external::randomseed,
! 121: \$reterror);
! 122:
! 123: if ($result == '1') { $result='EXACT_ANS'; }
! 124: elsif ($result == '2') { $result='APPROX_ANS'; }
! 125: elsif ($result == '3') { $result='SIG_FAIL'; }
! 126: elsif ($result == '4') { $result='UNIT_FAIL'; }
! 127: elsif ($result == '5') { $result='NO_UNIT'; }
! 128: elsif ($result == '6') { $result='UNIT_OK'; }
! 129: elsif ($result == '7') { $result='INCORRECT'; }
! 130: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
! 131: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
! 132: elsif ($result =='10') { $result='SUB_RECORDED'; }
! 133: elsif ($result =='11') { $result='BAD_FORMULA'; }
! 134: elsif ($result =='12') { $result='WANTED_NUMERIC'; }
! 135: else {$result = "ERROR: Unknown Result:$result:$@:";}
! 136:
! 137: return ("$result:\nRetError $reterror:\nError $error:\nAnswer $answer:\nResponse $response:\n type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|\n$message$expr",$reterror);
1.37 albertel 138: }
139:
1.73 ! albertel 140:
1.37 albertel 141: sub caparesponse_check_list {
1.73 ! albertel 142: my ($response,$expr)=@_;
! 143: my ($result,@list);
! 144: @list=@CAPARESPONSE_CHECK_LIST_answer;
! 145: my $aresult='';
! 146: my $current_answer;
! 147: my $answers=join(':',@list);
! 148: $result.="Got response :$answers:\n";
! 149: my @responselist;
! 150: my $type =eval $expr.';return $__LC__type;';
! 151: $result.="Got type :$type:\n";
! 152: if ($type ne '' && $#list > 0) {
! 153: (@responselist)=split /,/,$response;
! 154: } else {
! 155: (@responselist)=($response);
! 156: }
! 157: my $unit='';
! 158: $result.="Initial final response :$responselist['-1']:\n";
! 159: if ($type eq '' || $type eq 'float') {
! 160: #for numerical problems split off the unit
! 161: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
! 162: $responselist['-1']=$1;
! 163: $unit=$2;
! 164: }
! 165: }
! 166: $result.="Final final response :$responselist['-1']:\n";
! 167: $result.=":$#list: answers\n";
! 168: $unit=~s/\s//;
! 169: my $i=0;
! 170: my $awards='';
! 171: my @msgs;
! 172: for ($i=0; $i<@list;$i++) {
! 173: my $msg;
! 174: $result.="trying answer :$list[$i]:\n";
! 175: my $thisanswer=$list[$i];
! 176: $result.="trying answer :$thisanswer:\n";
! 177: if ($unit eq '') {
! 178: ($aresult,$msg)=&caparesponse_check($thisanswer,$responselist[$i],
! 179: $expr);
! 180: } else {
! 181: ($aresult,$msg)=&caparesponse_check($thisanswer,
! 182: $responselist[$i]." $unit",
! 183: $expr);
! 184: }
! 185: my ($temp)=split /:/, $aresult;
! 186: $awards.="$temp,";
! 187: $result.=$aresult;
! 188: push(@msgs,$msg);
! 189: }
! 190: chop $awards;
! 191: return ("$awards:\n$result",@msgs);
1.7 albertel 192: }
193:
1.4 albertel 194: sub tex {
1.73 ! albertel 195: if ( $external::target eq "tex" ) {
! 196: return $_[0];
! 197: } else {
! 198: return $_[1];
! 199: }
1.4 albertel 200: }
201:
1.24 ng 202: sub var_in_tex {
1.73 ! albertel 203: if ( $external::target eq "tex" ) {
! 204: return $_[0];
! 205: } else {
! 206: return "";
! 207: }
1.24 ng 208: }
209:
1.4 albertel 210: sub web {
1.73 ! albertel 211: if ( $external::target eq "tex" ) {
! 212: return $_[1];
1.26 ng 213: } else {
1.73 ! albertel 214: if ( $external::target eq "web" || $external::target eq "answer") {
! 215: return $_[2];
! 216: } else {
! 217: return $_[0];
! 218: }
1.4 albertel 219: }
220: }
221:
1.24 ng 222: sub html {
1.73 ! albertel 223: if ( $external::target eq "web" ) {
! 224: return shift;
! 225: }
1.24 ng 226: }
227:
1.1 harris41 228: sub hinton {
1.73 ! albertel 229: return 0;
1.1 harris41 230: }
231:
232: sub random {
1.61 albertel 233: my ($start,$end,$step)=@_;
234: if ( ! $hidden::RANDOMINIT ) {
235: if ($external::randomseed == 0) { $external::randomseed=1; }
236: if ($external::randomseed =~/,/) {
237: my ($num1,$num2)=split(/,/,$seed);
238: &random_set_seed(abs($num1),abs($num2));
239: } else {
240: &random_set_seed(1,int(abs($external::randomseed)));
241: }
242: &math_random_uniform();
243: $hidden::RANDOMINIT=1;
244: }
245: if (!defined($step)) { $step=1; }
246: my $num=1+int(($end-$start)/$step);
247: my $result=$start + int(&math_random_uniform() * $num)*$step;
248: return $result;
1.1 harris41 249: }
250:
1.26 ng 251: sub random_normal {
1.73 ! albertel 252: my ($item_cnt,$seed,$av,$std_dev) = @_;
! 253: my @oldseed=&random_get_seed();
! 254: my @retArray;
! 255: &random_set_seed_from_phrase($seed);
! 256: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
! 257: &random_set_seed(@oldseed);
! 258: return @retArray;
1.26 ng 259: }
260:
261: sub random_beta {
1.73 ! albertel 262: my ($item_cnt,$seed,$aa,$bb) = @_;
! 263: my @oldseed=&random_get_seed();
! 264: my @retArray;
! 265: &random_set_seed_from_phrase($seed);
! 266: @retArray=&math_random_beta($item_cnt,$aa,$bb);
! 267: &random_set_seed(@oldseed);
! 268: return @retArray;
1.26 ng 269: }
270:
271: sub random_gamma {
1.73 ! albertel 272: my ($item_cnt,$seed,$a,$r) = @_;
! 273: my @oldseed=&random_get_seed();
! 274: my @retArray;
! 275: &random_set_seed_from_phrase($seed);
! 276: @retArray=&math_random_gamma($item_cnt,$a,$r);
! 277: &random_set_seed(@oldseed);
! 278: return @retArray;
1.26 ng 279: }
280:
281: sub random_exponential {
1.73 ! albertel 282: my ($item_cnt,$seed,$av) = @_;
! 283: my @oldseed=&random_get_seed();
! 284: my @retArray;
! 285: &random_set_seed_from_phrase($seed);
! 286: @retArray=&math_random_exponential($item_cnt,$av);
! 287: &random_set_seed(@oldseed);
! 288: return @retArray;
1.26 ng 289: }
290:
291: sub random_poisson {
1.73 ! albertel 292: my ($item_cnt,$seed,$mu) = @_;
! 293: my @oldseed=&random_get_seed();
! 294: my @retArray;
! 295: &random_set_seed_from_phrase($seed);
! 296: @retArray=&math_random_poisson($item_cnt,$mu);
! 297: &random_set_seed(@oldseed);
! 298: return @retArray;
1.26 ng 299: }
300:
301: sub random_chi {
1.73 ! albertel 302: my ($item_cnt,$seed,$df) = @_;
! 303: my @oldseed=&random_get_seed();
! 304: my @retArray;
! 305: &random_set_seed_from_phrase($seed);
! 306: @retArray=&math_random_chi_square($item_cnt,$df);
! 307: &random_set_seed(@oldseed);
! 308: return @retArray;
1.26 ng 309: }
310:
311: sub random_noncentral_chi {
1.73 ! albertel 312: my ($item_cnt,$seed,$df,$nonc) = @_;
! 313: my @oldseed=&random_get_seed();
! 314: my @retArray;
! 315: &random_set_seed_from_phrase($seed);
! 316: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
! 317: &random_set_seed(@oldseed);
! 318: return @retArray;
1.26 ng 319: }
320:
321: sub random_f {
1.73 ! albertel 322: my ($item_cnt,$seed,$dfn,$dfd) = @_;
! 323: my @oldseed=&random_get_seed();
! 324: my @retArray;
! 325: &random_set_seed_from_phrase($seed);
! 326: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
! 327: &random_set_seed(@oldseed);
! 328: return @retArray;
1.26 ng 329: }
330:
331: sub random_noncentral_f {
1.73 ! albertel 332: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
! 333: my @oldseed=&random_get_seed();
! 334: my @retArray;
! 335: &random_set_seed_from_phrase($seed);
! 336: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
! 337: &random_set_seed(@oldseed);
! 338: return @retArray;
1.26 ng 339: }
340:
341: sub random_multivariate_normal {
1.73 ! albertel 342: my ($item_cnt,$seed,$mean,$covar) = @_;
! 343: my @oldseed=&random_get_seed();
! 344: &random_set_seed_from_phrase($seed);
! 345: @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
! 346: &random_set_seed(@oldseed);
! 347: return @retArray;
1.26 ng 348: }
349:
350: sub random_multinomial {
1.73 ! albertel 351: my ($item_cnt,$seed,@p) = @_;
! 352: my @oldseed=&random_get_seed();
! 353: my @retArray;
! 354: &random_set_seed_from_phrase($seed);
! 355: @retArray=&math_random_multinomial($item_cnt,@p);
! 356: &random_set_seed(@oldseed);
! 357: return @retArray;
1.26 ng 358: }
359:
360: sub random_permutation {
1.73 ! albertel 361: my ($seed,@inArray) = @_;
! 362: my @oldseed=&random_get_seed();
! 363: my @retArray;
! 364: &random_set_seed_from_phrase($seed);
! 365: @retArray=&math_random_permutation(@inArray);
! 366: &random_set_seed(@oldseed);
! 367: return @retArray;
1.26 ng 368: }
369:
370: sub random_uniform {
1.73 ! albertel 371: my ($item_cnt,$seed,$low,$high) = @_;
! 372: my @oldseed=&random_get_seed();
! 373: my @retArray;
! 374: &random_set_seed_from_phrase($seed);
! 375: @retArray=&math_random_uniform($item_cnt,$low,$high);
! 376: &random_set_seed(@oldseed);
! 377: return @retArray;
1.26 ng 378: }
379:
380: sub random_uniform_integer {
1.73 ! albertel 381: my ($item_cnt,$seed,$low,$high) = @_;
! 382: my @oldseed=&random_get_seed();
! 383: my @retArray;
! 384: &random_set_seed_from_phrase($seed);
! 385: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
! 386: &random_set_seed(@oldseed);
! 387: return @retArray;
1.26 ng 388: }
389:
390: sub random_binomial {
1.73 ! albertel 391: my ($item_cnt,$seed,$nt,$p) = @_;
! 392: my @oldseed=&random_get_seed();
! 393: my @retArray;
! 394: &random_set_seed_from_phrase($seed);
! 395: @retArray=&math_random_binomial($item_cnt,$nt,$p);
! 396: &random_set_seed(@oldseed);
! 397: return @retArray;
1.26 ng 398: }
399:
400: sub random_negative_binomial {
1.73 ! albertel 401: my ($item_cnt,$seed,$ne,$p) = @_;
! 402: my @oldseed=&random_get_seed();
! 403: my @retArray;
! 404: &random_set_seed_from_phrase($seed);
! 405: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
! 406: &random_set_seed(@oldseed);
! 407: return @retArray;
1.26 ng 408: }
409:
1.23 ng 410: sub abs { abs(shift) }
411: sub sin { sin(shift) }
412: sub cos { cos(shift) }
413: sub exp { exp(shift) }
414: sub int { int(shift) }
415: sub log { log(shift) }
416: sub atan2 { atan2($_[0],$_[1]) }
417: sub sqrt { sqrt(shift) }
418:
1.59 albertel 419: sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
1.21 harris41 420: #sub atan { atan2($_[0], 1); }
421: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
422: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
1.22 ng 423:
1.59 albertel 424: sub log10 { CORE::log($_[0])/CORE::log(10); }
1.22 ng 425:
1.20 harris41 426: sub factorial {
1.59 albertel 427: my $input = CORE::int(shift);
1.20 harris41 428: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
429: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
430: return 1 if $input == 0;
431: my $result = 1;
432: for (my $i=2; $i<=$input; $i++) { $result *= $i }
433: return $result;
434: }
435:
436: sub sgn {
437: return -1 if $_[0] < 0;
438: return 0 if $_[0] == 0;
439: return 1 if $_[0] > 0;
440: }
441:
442: sub min {
443: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
444: return shift @sorted;
445: }
446:
447: sub max {
448: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
449: return pop @sorted;
450: }
1.1 harris41 451:
1.20 harris41 452: sub roundto {
453: my ($input,$n) = @_;
454: return sprintf('%.'.$n.'f',$input);
455: }
456:
457: sub to_string {
458: my ($input,$n) = @_;
1.26 ng 459: return sprintf($input) if $n eq "";
460: $n = '.'.$n if $n !~ /^\./;
1.20 harris41 461: return sprintf('%'.$n,$input) if $n ne "";
462: }
463:
464: sub sub_string {
465: my ($str,$start,$len) = @_;
466: return substr($str,$start-1,$len);
467: }
1.1 harris41 468:
469: sub pow {return $_[0] ** $_[1]; }
1.59 albertel 470: sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
471: sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
1.27 ng 472: #sub floor {return int($_[0]); }
1.1 harris41 473:
1.2 albertel 474: sub format {
1.73 ! albertel 475: my ($value,$fmt)=@_;
! 476: my $dollarmode;
! 477: if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; }
! 478: $fmt=~s/e/E/g;
! 479: my $result=sprintf('%.'.$fmt,$value);
! 480: $result=~s/(E[+-]*)0/$1/;
! 481: if ($dollarmode) {$result=&dollarmode($result);}
! 482: return $result;
1.46 albertel 483: }
484:
485: sub prettyprint {
1.73 ! albertel 486: my ($value,$fmt,$target)=@_;
! 487: my $result;
! 488: my $dollarmode;
! 489: if (!$target) { $target = $external::target; }
! 490: if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; }
! 491: if ($fmt) { $value=sprintf('%.'.$fmt,$value); }
! 492: if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/i ) {
! 493: my $frac=$1;
! 494: if ($dollarmode) { $frac=&dollarformat($frac); }
! 495: my $exponent=$2;
! 496: $exponent=~s/^\+0*//;
! 497: $exponent=~s/^-0*/-/;
! 498: $exponent=~s/^-0*/-/;
! 499: if ($exponent eq '-') { undef($exponent); }
! 500: if ($exponent) {
! 501: if ($target eq 'web') {
! 502: $result=$frac.'×10<sup>'.$exponent.'</sup>';
! 503: } elsif ($target eq 'tex') {
! 504: $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
! 505: } else {
! 506: $result=$value;
! 507: }
! 508: } else {
! 509: $result=$frac;
! 510: }
! 511: } else {
1.48 albertel 512: $result=$value;
1.73 ! albertel 513: if ($dollarmode) { $result=&dollarformat($result,$target); }
1.46 albertel 514: }
1.73 ! albertel 515: return $result;
1.48 albertel 516: }
517:
518: sub dollarformat {
1.73 ! albertel 519: my ($number,$target) = @_;
! 520: if (!$target) { $target = $external::target; }
! 521: if ($number =~ /\./) {
! 522: while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
! 523: $number = $1.','.$2.$3;
! 524: }
! 525: } else {
! 526: while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) {
! 527: $number = $1.','.$2.$3;
! 528: }
! 529: }
! 530: if ($target eq 'tex') {
! 531: $number='\$'.$number; #' stupid emacs
! 532: } else {
! 533: $number='$'.$number; #' stupid emacs
! 534: }
! 535: return $number;
1.2 albertel 536: }
1.5 albertel 537:
538: sub map {
1.27 ng 539: my ($phrase,$dest,$source)=@_;
1.51 albertel 540: my @oldseed=&random_get_seed();
1.27 ng 541: my @seed = &random_seed_from_phrase($phrase);
542: &random_set_seed(@seed);
543: my $destct = scalar(@$dest);
1.28 ng 544: if (!$source) {
545: my @output;
546: my @idx = &math_random_permuted_index($destct);
547: my $ctr = 0;
548: while ($ctr < $destct) {
549: $output[$ctr] = $$dest[$idx[$ctr]];
1.27 ng 550: $ctr++;
1.28 ng 551: }
1.51 albertel 552: &random_set_seed(@oldseed);
1.28 ng 553: return @output;
1.27 ng 554: } else {
1.28 ng 555: my $num = scalar(@$source);
556: my @idx = &math_random_permuted_index($num);
557: my $ctr = 0;
558: my $tot = $num;
559: $tot = $destct if $destct < $num;
560: if (ref($$dest[0])) {
561: while ($ctr < $tot) {
562: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
563: $ctr++;
564: }
565: } else {
566: while ($ctr < $tot) {
567: $$dest[$ctr] = $$source[$idx[$ctr]];
568: $ctr++;
569: }
570: }
1.27 ng 571: }
1.56 albertel 572: &random_set_seed(@oldseed);
1.51 albertel 573: return '';
1.27 ng 574: }
575:
576: sub rmap {
577: my ($phrase,$dest,$source)=@_;
1.51 albertel 578: my @oldseed=&random_get_seed();
1.27 ng 579: my @seed = &random_seed_from_phrase($phrase);
580: &random_set_seed(@seed);
581: my $destct = scalar(@$dest);
1.28 ng 582: if (!$source) {
583: my @idx = &math_random_permuted_index($destct);
584: my $ctr = 0;
585: my @r_idx;
586: while ($ctr < $destct) {
587: $r_idx[$idx[$ctr]] = $ctr;
588: $ctr++;
589: }
590: my @output;
591: $ctr = 0;
592: while ($ctr < $destct) {
593: $output[$ctr] = $$dest[$r_idx[$ctr]];
1.27 ng 594: $ctr++;
1.28 ng 595: }
1.51 albertel 596: &random_set_seed(@oldseed);
1.28 ng 597: return @output;
1.27 ng 598: } else {
1.28 ng 599: my $num = scalar(@$source);
600: my @idx = &math_random_permuted_index($num);
601: my $ctr = 0;
602: my $tot = $num;
603: $tot = $destct if $destct < $num;
604: my @r_idx;
1.27 ng 605: while ($ctr < $tot) {
1.28 ng 606: $r_idx[$idx[$ctr]] = $ctr;
1.27 ng 607: $ctr++;
1.28 ng 608: }
609: $ctr = 0;
610: if (ref($$dest[0])) {
611: while ($ctr < $tot) {
612: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
613: $ctr++;
614: }
615: } else {
616: while ($ctr < $tot) {
617: $$dest[$ctr] = $$source[$r_idx[$ctr]];
618: $ctr++;
619: }
620: }
1.6 albertel 621: }
1.51 albertel 622: &random_set_seed(@oldseed);
623: return '';
1.5 albertel 624: }
1.22 ng 625:
1.23 ng 626: sub capa_id { return }
627:
628: sub problem { return }
629:
1.22 ng 630: sub name{
1.73 ! albertel 631: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
! 632: $fullname = "" if $fullname eq ", ";
! 633: $fullname =~ s/\%2d/-/g;
! 634: return $fullname;
1.22 ng 635: }
636:
637: sub student_number {
1.73 ! albertel 638: my $id = &EXT('environment.id');
! 639: $id = '' if $id eq "";
! 640: return $id;
1.22 ng 641: }
642:
643: sub class {
1.73 ! albertel 644: my $course = &EXT('course.description');
! 645: $course = '' if $course eq "";
! 646: return $course;
1.22 ng 647: }
648:
649: sub sec {
1.73 ! albertel 650: my $sec = &EXT('request.course.sec');
! 651: $sec = '' if $sec eq "";
! 652: return $sec;
1.22 ng 653: }
654:
1.23 ng 655: sub open_date {
1.73 ! albertel 656: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
! 657: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
! 658: my @hm = split(/:/,$dc[3]);
! 659: my $ampm = " am";
! 660: if ($hm[0] > 12) {
! 661: $hm[0]-=12;
! 662: $ampm = " pm";
! 663: }
! 664: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
1.23 ng 665: }
666:
667: sub due_date {
1.73 ! albertel 668: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
! 669: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
! 670: my @hm = split(/:/,$dc[3]);
! 671: my $ampm = " am";
! 672: if ($hm[0] > 12) {
! 673: $hm[0]-=12;
! 674: $ampm = " pm";
! 675: }
! 676: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
1.23 ng 677: }
678:
679: sub answer_date {
1.73 ! albertel 680: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
! 681: return '' if ($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].$ampm;
1.24 ng 689: }
690:
691: sub array_moments {
1.73 ! albertel 692: my @input=@_;
! 693: my (@output,$N);
! 694: $N=scalar (@input);
! 695: $output[0]=$N;
! 696: if ($N <= 1) {
! 697: $output[1]=$input[0];
! 698: $output[1]="Input array not defined" if ($N == 0);
! 699: $output[2]="variance undefined for N<=1";
! 700: $output[3]="skewness undefined for N<=1";
! 701: $output[4]="kurtosis undefined for N<=1";
! 702: return @output;
! 703: }
! 704: my $sum=0;
! 705: foreach my $line (@input) {
! 706: $sum+=$line;
! 707: }
! 708: $output[1] = $sum/$N;
! 709: my ($x,$sdev,$var,$skew,$kurt) = 0;
! 710: foreach my $line (@input) {
! 711: $x=$line-$output[1];
! 712: $var+=$x**2;
! 713: $skew+=$x**3;
! 714: $kurt+=$x**4;
! 715: }
! 716: $output[2]=$var/($N-1);
! 717: $sdev=CORE::sqrt($output[2]);
! 718: if ($sdev == 0) {
! 719: $output[3]="inf-variance=0";
! 720: $output[4]="inf-variance=0";
! 721: return @output;
! 722: }
! 723: $output[3]=$skew/($sdev**3*$N);
! 724: $output[4]=$kurt/($sdev**4*$N)-3;
1.24 ng 725: return @output;
726: }
1.5 albertel 727:
728: sub choose {
1.73 ! albertel 729: my $num = $_[0];
! 730: return $_[$num];
1.5 albertel 731: }
1.23 ng 732:
1.49 albertel 733: # expiremental idea
734: sub proper_path {
1.73 ! albertel 735: my ($path)=@_;
! 736: if ( $external::target eq "tex" ) {
! 737: return '/home/httpd/html'.$path;
! 738: } else {
! 739: return $path;
! 740: }
1.49 albertel 741: }
1.23 ng 742:
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