Annotation of loncom/homework/default_homework.lcpm, revision 1.63
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: #
1.63 ! albertel 4: # $Id: default_homework.lcpm,v 1.62 2003/05/23 07:04:44 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: }
1.62 albertel 64:
65: if (length($response) > 500) { return "TOO_LONG: Answer too long"; }
1.32 albertel 66:
1.8 albertel 67: if ($type eq '' ) {
1.52 albertel 68: $message .= "Didn't find a type :$type:$expr: defaulting\n";
1.8 albertel 69: if ( $answer eq ($answer *1.0)) { $type = 2;
70: } else { $type = 3; }
71: } else {
72: if ($type eq 'cs') { $type = 4;
73: } elsif ($type eq 'ci') { $type = 3;
74: } elsif ($type eq 'mc') { $type = 5;
75: } elsif ($type eq 'fml') { $type = 8;
1.9 albertel 76: } elsif ($type eq 'subj') { $type = 7;
1.41 albertel 77: } elsif ($type eq 'float') { $type = 2;
78: } elsif ($type eq 'int') { $type = 1;
1.9 albertel 79: } else { return "ERROR: Unknown type of answer: $type" }
1.8 albertel 80: }
81:
1.39 albertel 82: my $points;
83: my $id_list;
84: #formula type setup the sample points
85: if ($type eq '8') {
86: ($id_list,$points)=split(/@/,$samples);
1.61 albertel 87: $message.="Found :$id_list:$points: points in $samples\n";
1.39 albertel 88: }
1.10 albertel 89: if ($tol eq '') {
90: $tol=0.0;
91: $tol_type=1; #TOL_ABSOLUTE
92: } else {
93: if ($tol =~ /%$/) {
1.12 albertel 94: chop $tol;
1.10 albertel 95: $tol_type=2; #TOL_PERCENTAGE
96: } else {
97: $tol_type=1; #TOL_ABSOLUTE
98: }
99: }
1.12 albertel 100:
101: if ($sig eq '') {
102: $sig_lbound = 0; #SIG_LB_DEFAULT
103: $sig_ubound =15; #SIG_UB_DEFAULT
104: } else {
105: ($sig_lbound,$sig_ubound) = split /,/,$sig;
1.53 albertel 106: if (!defined($sig_lbound)) {
1.45 albertel 107: $sig_lbound = 0; #SIG_LB_DEFAULT
108: $sig_ubound =15; #SIG_UB_DEFAULT
109: }
1.53 albertel 110: if (!defined($sig_ubound)) { $sig_ubound=$sig_lbound; }
1.12 albertel 111: }
1.7 albertel 112: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
1.10 albertel 113: $tol_type,$tol,
1.7 albertel 114: $sig_lbound,$sig_ubound,
1.39 albertel 115: $ans_fmt,$unit,$calc,$id_list,
116: $points,$external::randomseed);
1.9 albertel 117:
118: if ($result == '1') { $result='EXACT_ANS'; }
119: elsif ($result == '2') { $result='APPROX_ANS'; }
120: elsif ($result == '3') { $result='SIG_FAIL'; }
121: elsif ($result == '4') { $result='UNIT_FAIL'; }
122: elsif ($result == '5') { $result='NO_UNIT'; }
123: elsif ($result == '6') { $result='UNIT_OK'; }
124: elsif ($result == '7') { $result='INCORRECT'; }
125: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
126: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
127: elsif ($result =='10') { $result='SUB_RECORDED'; }
128: elsif ($result =='11') { $result='BAD_FORMULA'; }
129: elsif ($result =='12') { $result='WANTED_NUMERIC'; }
1.13 albertel 130: else {$result = "ERROR: Unknown Result:$result:$@:";}
1.9 albertel 131:
1.52 albertel 132: 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 133: }
134:
1.37 albertel 135: sub get_array_args {
136: my ($expr,$arg)=@_;
1.30 albertel 137: # do these first, because who knows what varname the instructor might have used
138: # but it probably isn't $CAPARESPONSE_CHECK_LIST_answer
1.63 ! albertel 139: my $CAPARESPONSE_CHECK_LIST_answer = eval $expr.';return $'.$arg; #' stupid emacs
1.40 albertel 140: my $GET_ARRAY_ARGS_result;
141: my @GET_ARRAY_ARGS_list;
1.39 albertel 142: if ($CAPARESPONSE_CHECK_LIST_answer =~ /^\s*[\$\@]/) {
1.40 albertel 143: (@GET_ARRAY_ARGS_list) = eval $CAPARESPONSE_CHECK_LIST_answer;
1.39 albertel 144: }
1.52 albertel 145: $GET_ARRAY_ARGS_result.="error:$@:\n";
1.31 albertel 146: # if the eval fails just use what is in the answer exactly
1.60 albertel 147: if (!(@GET_ARRAY_ARGS_list) || !defined($GET_ARRAY_ARGS_list[0])) {
1.52 albertel 148: $GET_ARRAY_ARGS_result.="list zero is undefined\n";
1.40 albertel 149: $GET_ARRAY_ARGS_list[0]=$CAPARESPONSE_CHECK_LIST_answer;
1.31 albertel 150: }
1.40 albertel 151: return $GET_ARRAY_ARGS_result,@GET_ARRAY_ARGS_list;
1.37 albertel 152: }
153:
154: sub caparesponse_check_list {
155: my ($response,$expr)=@_;
1.57 albertel 156: $expr =~ s/\\/\\\\/g;
157: $expr =~ s/\'/\\\'/g;
1.40 albertel 158: my ($result,@list) = &get_array_args($expr,'answer');
1.63 ! albertel 159: $expr =~ s/\\\'/\'/g;
! 160: $expr =~ s/\\\\/\\/g;
1.15 albertel 161: my $aresult='';
1.14 albertel 162: my $current_answer;
1.39 albertel 163: my $answers=join(':',@list);
1.52 albertel 164: $result.="Got response :$answers:\n";
1.31 albertel 165: my @responselist;
1.32 albertel 166: my $type =eval $expr.';return $answer;';
1.31 albertel 167: if ($type ne '' && $#list > 0) {
168: (@responselist)=split /,/,$response;
169: } else {
170: (@responselist)=($response);
171: }
1.15 albertel 172: my $unit='';
1.52 albertel 173: $result.="Initial final response :$responselist['-1']:\n";
1.31 albertel 174: if ($type eq '') {
175: #for numerical problems split off the unit
176: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
177: $responselist['-1']=$1;
178: $unit=$2;
179: }
1.15 albertel 180: }
1.52 albertel 181: $result.="Final final response :$responselist['-1']:\n";
182: $result.=":$#list: answers\n";
1.14 albertel 183: $unit=~s/\s//;
184: my $i=0;
185: my $awards='';
186: for ($i=0; $i<@list;$i++) {
1.52 albertel 187: $result.="trying answer :$list[$i]:\n";
1.57 albertel 188: my $thisanswer=$list[$i];
189: $thisanswer=~ s/\\/\\\\/g;
190: $thisanswer =~ s/\'/\\\'/g;
1.19 albertel 191: if ($unit eq '') {
192: $aresult=&caparesponse_check($responselist[$i],
1.57 albertel 193: $expr.';my $answer=\''.$thisanswer.'\';');
1.19 albertel 194: } else {
195: $aresult=&caparesponse_check($responselist[$i]." $unit",
1.57 albertel 196: $expr.';my $answer=\''.$thisanswer.'\';');
1.19 albertel 197: }
1.15 albertel 198: my ($temp)=split /:/, $aresult;
1.14 albertel 199: $awards.="$temp,";
1.15 albertel 200: $result.=$aresult;
1.14 albertel 201: }
202: chop $awards;
1.52 albertel 203: return "$awards:\n$result";
1.7 albertel 204: }
205:
1.4 albertel 206: sub tex {
207: if ( $external::target eq "tex" ) {
1.58 albertel 208: return $_[0];
1.4 albertel 209: } else {
1.58 albertel 210: return $_[1];
1.4 albertel 211: }
212: }
213:
1.24 ng 214: sub var_in_tex {
215: if ( $external::target eq "tex" ) {
1.58 albertel 216: return $_[0];
1.24 ng 217: } else {
218: return "";
219: }
220: }
221:
1.4 albertel 222: sub web {
223: if ( $external::target eq "tex" ) {
1.58 albertel 224: return $_[1];
1.4 albertel 225: } else {
1.43 albertel 226: if ( $external::target eq "web" || $external::target eq "answer") {
1.58 albertel 227: return $_[2];
1.26 ng 228: } else {
1.58 albertel 229: return $_[0];
1.4 albertel 230: }
231: }
232: }
233:
1.24 ng 234: sub html {
235: if ( $external::target eq "web" ) {
1.26 ng 236: return shift;
1.24 ng 237: }
238: }
239:
1.1 harris41 240: sub hinton {
241: return 0;
242: }
243:
244: sub random {
1.61 albertel 245: my ($start,$end,$step)=@_;
246: if ( ! $hidden::RANDOMINIT ) {
247: if ($external::randomseed == 0) { $external::randomseed=1; }
248: if ($external::randomseed =~/,/) {
249: my ($num1,$num2)=split(/,/,$seed);
250: &random_set_seed(abs($num1),abs($num2));
251: } else {
252: &random_set_seed(1,int(abs($external::randomseed)));
253: }
254: &math_random_uniform();
255: $hidden::RANDOMINIT=1;
256: }
257: if (!defined($step)) { $step=1; }
258: my $num=1+int(($end-$start)/$step);
259: my $result=$start + int(&math_random_uniform() * $num)*$step;
260: return $result;
1.1 harris41 261: }
262:
1.26 ng 263: sub random_normal {
264: my ($item_cnt,$seed,$av,$std_dev) = @_;
1.51 albertel 265: my @oldseed=&random_get_seed();
1.26 ng 266: my @retArray;
267: &random_set_seed_from_phrase($seed);
268: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
1.51 albertel 269: &random_set_seed(@oldseed);
1.26 ng 270: return @retArray;
271: }
272:
273: sub random_beta {
274: my ($item_cnt,$seed,$aa,$bb) = @_;
1.51 albertel 275: my @oldseed=&random_get_seed();
1.26 ng 276: my @retArray;
277: &random_set_seed_from_phrase($seed);
278: @retArray=&math_random_beta($item_cnt,$aa,$bb);
1.51 albertel 279: &random_set_seed(@oldseed);
1.26 ng 280: return @retArray;
281: }
282:
283: sub random_gamma {
284: my ($item_cnt,$seed,$a,$r) = @_;
1.51 albertel 285: my @oldseed=&random_get_seed();
1.26 ng 286: my @retArray;
287: &random_set_seed_from_phrase($seed);
288: @retArray=&math_random_gamma($item_cnt,$a,$r);
1.51 albertel 289: &random_set_seed(@oldseed);
1.26 ng 290: return @retArray;
291: }
292:
293: sub random_exponential {
294: my ($item_cnt,$seed,$av) = @_;
1.51 albertel 295: my @oldseed=&random_get_seed();
1.26 ng 296: my @retArray;
297: &random_set_seed_from_phrase($seed);
298: @retArray=&math_random_exponential($item_cnt,$av);
1.51 albertel 299: &random_set_seed(@oldseed);
1.26 ng 300: return @retArray;
301: }
302:
303: sub random_poisson {
304: my ($item_cnt,$seed,$mu) = @_;
1.51 albertel 305: my @oldseed=&random_get_seed();
1.26 ng 306: my @retArray;
307: &random_set_seed_from_phrase($seed);
308: @retArray=&math_random_poisson($item_cnt,$mu);
1.51 albertel 309: &random_set_seed(@oldseed);
1.26 ng 310: return @retArray;
311: }
312:
313: sub random_chi {
314: my ($item_cnt,$seed,$df) = @_;
1.51 albertel 315: my @oldseed=&random_get_seed();
1.26 ng 316: my @retArray;
317: &random_set_seed_from_phrase($seed);
318: @retArray=&math_random_chi_square($item_cnt,$df);
1.51 albertel 319: &random_set_seed(@oldseed);
1.26 ng 320: return @retArray;
321: }
322:
323: sub random_noncentral_chi {
324: my ($item_cnt,$seed,$df,$nonc) = @_;
1.51 albertel 325: my @oldseed=&random_get_seed();
1.26 ng 326: my @retArray;
327: &random_set_seed_from_phrase($seed);
328: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
1.51 albertel 329: &random_set_seed(@oldseed);
1.26 ng 330: return @retArray;
331: }
332:
333: sub random_f {
334: my ($item_cnt,$seed,$dfn,$dfd) = @_;
1.51 albertel 335: my @oldseed=&random_get_seed();
1.26 ng 336: my @retArray;
337: &random_set_seed_from_phrase($seed);
338: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
1.51 albertel 339: &random_set_seed(@oldseed);
1.26 ng 340: return @retArray;
341: }
342:
343: sub random_noncentral_f {
344: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
1.51 albertel 345: my @oldseed=&random_get_seed();
1.26 ng 346: my @retArray;
347: &random_set_seed_from_phrase($seed);
348: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
1.51 albertel 349: &random_set_seed(@oldseed);
1.26 ng 350: return @retArray;
351: }
352:
353: sub random_multivariate_normal {
1.33 ng 354: my ($item_cnt,$seed,$mean,$covar) = @_;
1.51 albertel 355: my @oldseed=&random_get_seed();
1.26 ng 356: &random_set_seed_from_phrase($seed);
1.33 ng 357: @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
1.51 albertel 358: &random_set_seed(@oldseed);
1.26 ng 359: return @retArray;
360: }
361:
362: sub random_multinomial {
363: my ($item_cnt,$seed,@p) = @_;
1.51 albertel 364: my @oldseed=&random_get_seed();
1.26 ng 365: my @retArray;
366: &random_set_seed_from_phrase($seed);
367: @retArray=&math_random_multinomial($item_cnt,@p);
1.51 albertel 368: &random_set_seed(@oldseed);
1.26 ng 369: return @retArray;
370: }
371:
372: sub random_permutation {
373: my ($seed,@inArray) = @_;
1.51 albertel 374: my @oldseed=&random_get_seed();
1.26 ng 375: my @retArray;
376: &random_set_seed_from_phrase($seed);
377: @retArray=&math_random_permutation(@inArray);
1.51 albertel 378: &random_set_seed(@oldseed);
1.26 ng 379: return @retArray;
380: }
381:
382: sub random_uniform {
383: my ($item_cnt,$seed,$low,$high) = @_;
1.51 albertel 384: my @oldseed=&random_get_seed();
1.26 ng 385: my @retArray;
386: &random_set_seed_from_phrase($seed);
387: @retArray=&math_random_uniform($item_cnt,$low,$high);
1.51 albertel 388: &random_set_seed(@oldseed);
1.26 ng 389: return @retArray;
390: }
391:
392: sub random_uniform_integer {
393: my ($item_cnt,$seed,$low,$high) = @_;
1.51 albertel 394: my @oldseed=&random_get_seed();
1.26 ng 395: my @retArray;
396: &random_set_seed_from_phrase($seed);
397: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
1.51 albertel 398: &random_set_seed(@oldseed);
1.26 ng 399: return @retArray;
400: }
401:
402: sub random_binomial {
403: my ($item_cnt,$seed,$nt,$p) = @_;
1.51 albertel 404: my @oldseed=&random_get_seed();
1.26 ng 405: my @retArray;
406: &random_set_seed_from_phrase($seed);
407: @retArray=&math_random_binomial($item_cnt,$nt,$p);
1.51 albertel 408: &random_set_seed(@oldseed);
1.26 ng 409: return @retArray;
410: }
411:
412: sub random_negative_binomial {
413: my ($item_cnt,$seed,$ne,$p) = @_;
1.51 albertel 414: my @oldseed=&random_get_seed();
1.26 ng 415: my @retArray;
416: &random_set_seed_from_phrase($seed);
417: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
1.51 albertel 418: &random_set_seed(@oldseed);
1.26 ng 419: return @retArray;
420: }
421:
1.23 ng 422: sub abs { abs(shift) }
423: sub sin { sin(shift) }
424: sub cos { cos(shift) }
425: sub exp { exp(shift) }
426: sub int { int(shift) }
427: sub log { log(shift) }
428: sub atan2 { atan2($_[0],$_[1]) }
429: sub sqrt { sqrt(shift) }
430:
1.59 albertel 431: sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
1.21 harris41 432: #sub atan { atan2($_[0], 1); }
433: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
434: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
1.22 ng 435:
1.59 albertel 436: sub log10 { CORE::log($_[0])/CORE::log(10); }
1.22 ng 437:
1.20 harris41 438: sub factorial {
1.59 albertel 439: my $input = CORE::int(shift);
1.20 harris41 440: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
441: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
442: return 1 if $input == 0;
443: my $result = 1;
444: for (my $i=2; $i<=$input; $i++) { $result *= $i }
445: return $result;
446: }
447:
448: sub sgn {
449: return -1 if $_[0] < 0;
450: return 0 if $_[0] == 0;
451: return 1 if $_[0] > 0;
452: }
453:
454: sub min {
455: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
456: return shift @sorted;
457: }
458:
459: sub max {
460: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
461: return pop @sorted;
462: }
1.1 harris41 463:
1.20 harris41 464: sub roundto {
465: my ($input,$n) = @_;
466: return sprintf('%.'.$n.'f',$input);
467: }
468:
469: sub to_string {
470: my ($input,$n) = @_;
1.26 ng 471: return sprintf($input) if $n eq "";
472: $n = '.'.$n if $n !~ /^\./;
1.20 harris41 473: return sprintf('%'.$n,$input) if $n ne "";
474: }
475:
476: sub sub_string {
477: my ($str,$start,$len) = @_;
478: return substr($str,$start-1,$len);
479: }
1.1 harris41 480:
481: sub pow {return $_[0] ** $_[1]; }
1.59 albertel 482: sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
483: sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
1.27 ng 484: #sub floor {return int($_[0]); }
1.1 harris41 485:
1.2 albertel 486: sub format {
487: my ($value,$fmt)=@_;
1.48 albertel 488: my $dollarmode;
489: if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; }
490: my $result=sprintf('%.'.$fmt,$value);
1.50 albertel 491: $result=~s/(E[+-]*)0/$1/;
1.48 albertel 492: if ($dollarmode) {$result=&dollarmode($result);}
493: return $result;
1.46 albertel 494: }
495:
496: sub prettyprint {
497: my ($value,$fmt)=@_;
498: my $result;
1.48 albertel 499: my $dollarmode;
500: if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; }
1.46 albertel 501: if ($fmt) { $value=sprintf('%.'.$fmt,$value); }
502: if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/ ) {
503: my $frac=$1;
1.48 albertel 504: if ($dollarmode) { $frac=&dollarformat($frac); }
1.46 albertel 505: my $exponent=$2;
506: $exponent=~s/^\+0*//;
1.50 albertel 507: $exponent=~s/^-0*/-/;
1.48 albertel 508: if ($exponent) {
509: if ($external::target eq 'web') {
510: $result=$frac.'×10<sup>'.$exponent.'</sup>';
511: } elsif ($external::target eq 'tex') {
512: $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
513: } else {
514: $result=$value;
515: }
1.46 albertel 516: } else {
1.48 albertel 517: $result=$frac;
1.46 albertel 518: }
519: } else {
520: $result=$value;
1.48 albertel 521: if ($dollarmode) { $result=&dollarformat($result); }
1.46 albertel 522: }
523: return $result;
1.48 albertel 524: }
525:
526: sub dollarformat {
527: my ($number) = @_;
528: if ($number =~ /\./) {
529: while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*$)/) {
530: $number = $1.','.$2.$3;
531: }
532: } else {
533: while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) {
534: $number = $1.','.$2.$3;
535: }
536: }
537: if ($external::target eq 'tex') {
538: $number='\$'.$number; #' stupid emacs
539: } else {
540: $number='$'.$number; #' stupid emacs
541: }
542: return $number;
1.2 albertel 543: }
1.5 albertel 544:
545: sub map {
1.27 ng 546: my ($phrase,$dest,$source)=@_;
1.51 albertel 547: my @oldseed=&random_get_seed();
1.27 ng 548: my @seed = &random_seed_from_phrase($phrase);
549: &random_set_seed(@seed);
550: my $destct = scalar(@$dest);
1.28 ng 551: if (!$source) {
552: my @output;
553: my @idx = &math_random_permuted_index($destct);
554: my $ctr = 0;
555: while ($ctr < $destct) {
556: $output[$ctr] = $$dest[$idx[$ctr]];
1.27 ng 557: $ctr++;
1.28 ng 558: }
1.51 albertel 559: &random_set_seed(@oldseed);
1.28 ng 560: return @output;
1.27 ng 561: } else {
1.28 ng 562: my $num = scalar(@$source);
563: my @idx = &math_random_permuted_index($num);
564: my $ctr = 0;
565: my $tot = $num;
566: $tot = $destct if $destct < $num;
567: if (ref($$dest[0])) {
568: while ($ctr < $tot) {
569: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
570: $ctr++;
571: }
572: } else {
573: while ($ctr < $tot) {
574: $$dest[$ctr] = $$source[$idx[$ctr]];
575: $ctr++;
576: }
577: }
1.27 ng 578: }
1.56 albertel 579: &random_set_seed(@oldseed);
1.51 albertel 580: return '';
1.27 ng 581: }
582:
583: sub rmap {
584: my ($phrase,$dest,$source)=@_;
1.51 albertel 585: my @oldseed=&random_get_seed();
1.27 ng 586: my @seed = &random_seed_from_phrase($phrase);
587: &random_set_seed(@seed);
588: my $destct = scalar(@$dest);
1.28 ng 589: if (!$source) {
590: my @idx = &math_random_permuted_index($destct);
591: my $ctr = 0;
592: my @r_idx;
593: while ($ctr < $destct) {
594: $r_idx[$idx[$ctr]] = $ctr;
595: $ctr++;
596: }
597: my @output;
598: $ctr = 0;
599: while ($ctr < $destct) {
600: $output[$ctr] = $$dest[$r_idx[$ctr]];
1.27 ng 601: $ctr++;
1.28 ng 602: }
1.51 albertel 603: &random_set_seed(@oldseed);
1.28 ng 604: return @output;
1.27 ng 605: } else {
1.28 ng 606: my $num = scalar(@$source);
607: my @idx = &math_random_permuted_index($num);
608: my $ctr = 0;
609: my $tot = $num;
610: $tot = $destct if $destct < $num;
611: my @r_idx;
1.27 ng 612: while ($ctr < $tot) {
1.28 ng 613: $r_idx[$idx[$ctr]] = $ctr;
1.27 ng 614: $ctr++;
1.28 ng 615: }
616: $ctr = 0;
617: if (ref($$dest[0])) {
618: while ($ctr < $tot) {
619: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
620: $ctr++;
621: }
622: } else {
623: while ($ctr < $tot) {
624: $$dest[$ctr] = $$source[$r_idx[$ctr]];
625: $ctr++;
626: }
627: }
1.6 albertel 628: }
1.51 albertel 629: &random_set_seed(@oldseed);
630: return '';
1.5 albertel 631: }
1.22 ng 632:
1.23 ng 633: sub capa_id { return }
634:
635: sub problem { return }
636:
1.22 ng 637: sub name{
638: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
639: $fullname = "" if $fullname eq ", ";
1.26 ng 640: $fullname =~ s/\%2d/-/g;
1.22 ng 641: return $fullname;
642: }
643:
644: sub student_number {
645: my $id = &EXT('environment.id');
646: $id = '' if $id eq "";
647: return $id;
648: }
649:
650: sub class {
651: my $course = &EXT('course.description');
652: $course = '' if $course eq "";
653: return $course;
654: }
655:
656: sub sec {
657: my $sec = &EXT('request.course.sec');
1.23 ng 658: $sec = '' if $sec eq "";
1.22 ng 659: return $sec;
660: }
661:
1.23 ng 662: sub open_date {
663: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
1.24 ng 664: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
665: my @hm = split(/:/,$dc[3]);
666: my $ampm = " am";
667: if ($hm[0] > 12) {
668: $hm[0]-=12;
669: $ampm = " pm";
670: }
671: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
1.23 ng 672: }
673:
674: sub due_date {
675: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
1.24 ng 676: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
677: my @hm = split(/:/,$dc[3]);
678: my $ampm = " am";
679: if ($hm[0] > 12) {
680: $hm[0]-=12;
681: $ampm = " pm";
682: }
683: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
684: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
1.23 ng 685: }
686:
687: sub answer_date {
688: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
1.24 ng 689: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
690: my @hm = split(/:/,$dc[3]);
691: my $ampm = " am";
692: if ($hm[0] > 12) {
693: $hm[0]-=12;
694: $ampm = " pm";
695: }
696: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
697: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
698: }
699:
700: sub array_moments {
701: my @input=@_;
702: my (@output,$N);
703: $N=scalar (@input);
704: $output[0]=$N;
705: if ($N <= 1) {
706: $output[1]=$input[0];
1.28 ng 707: $output[1]="Input array not defined" if ($N == 0);
1.24 ng 708: $output[2]="variance undefined for N<=1";
709: $output[3]="skewness undefined for N<=1";
710: $output[4]="kurtosis undefined for N<=1";
711: return @output;
712: }
713: my $sum=0;
714: foreach my $line (@input) {
715: $sum+=$line;
716: }
717: $output[1] = $sum/$N;
718: my ($x,$sdev,$var,$skew,$kurt) = 0;
719: foreach my $line (@input) {
720: $x=$line-$output[1];
721: $var+=$x**2;
722: $skew+=$x**3;
723: $kurt+=$x**4;
724: }
725: $output[2]=$var/($N-1);
1.59 albertel 726: $sdev=CORE::sqrt($output[2]);
1.24 ng 727: if ($sdev == 0) {
728: $output[3]="inf-variance=0";
729: $output[4]="inf-variance=0";
730: return @output;
731: }
732: $output[3]=$skew/($sdev**3*$N);
733: $output[4]=$kurt/($sdev**4*$N)-3;
734: return @output;
735: }
1.5 albertel 736:
737: sub choose {
738: my $num = $_[0];
739: return $_[$num];
740: }
1.23 ng 741:
1.49 albertel 742: # expiremental idea
743: sub proper_path {
744: my ($path)=@_;
745: if ( $external::target eq "tex" ) {
746: return '/home/httpd/html'.$path;
747: } else {
748: return $path;
749: }
750: }
1.23 ng 751:
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