Annotation of loncom/homework/default_homework.lcpm, revision 1.71
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: #
1.71 ! albertel 4: # $Id: default_homework.lcpm,v 1.70 2004/03/12 16:55:35 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: $ans_fmt
1.64 albertel 45: my ($type,$tol,$sig,$ans_fmt,$unit,$calc,$samples) =
46: eval $_[2].
1.70 albertel 47: ';return ($__LC__type,$__LC__tol,$__LC__sig,$__LC__ans_fmt,$__LC__unit,$__LC__calc,$__LC__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 $sig_ubound=''; #done
1.64 albertel 52: my ($answer,$response,$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: }
1.71 ! albertel 112: my $reterror="";
1.7 albertel 113: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
1.10 albertel 114: $tol_type,$tol,
1.7 albertel 115: $sig_lbound,$sig_ubound,
1.39 albertel 116: $ans_fmt,$unit,$calc,$id_list,
1.71 ! albertel 117: $points,$external::randomseed,
! 118: \$reterror);
1.9 albertel 119:
120: if ($result == '1') { $result='EXACT_ANS'; }
121: elsif ($result == '2') { $result='APPROX_ANS'; }
122: elsif ($result == '3') { $result='SIG_FAIL'; }
123: elsif ($result == '4') { $result='UNIT_FAIL'; }
124: elsif ($result == '5') { $result='NO_UNIT'; }
125: elsif ($result == '6') { $result='UNIT_OK'; }
126: elsif ($result == '7') { $result='INCORRECT'; }
127: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
128: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
129: elsif ($result =='10') { $result='SUB_RECORDED'; }
130: elsif ($result =='11') { $result='BAD_FORMULA'; }
131: elsif ($result =='12') { $result='WANTED_NUMERIC'; }
1.13 albertel 132: else {$result = "ERROR: Unknown Result:$result:$@:";}
1.9 albertel 133:
1.71 ! albertel 134: 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",$reterror);
1.14 albertel 135: }
136:
1.37 albertel 137: sub get_array_args {
138: my ($expr,$arg)=@_;
1.30 albertel 139: # do these first, because who knows what varname the instructor might have used
140: # but it probably isn't $CAPARESPONSE_CHECK_LIST_answer
1.63 albertel 141: my $CAPARESPONSE_CHECK_LIST_answer = eval $expr.';return $'.$arg; #' stupid emacs
1.64 albertel 142: my $GET_ARRAY_ARGS_result="expr is $expr\narg is $arg\nfirst answer guess is $CAPARESPONSE_CHECK_LIST_answer\n";
1.40 albertel 143: my @GET_ARRAY_ARGS_list;
1.39 albertel 144: if ($CAPARESPONSE_CHECK_LIST_answer =~ /^\s*[\$\@]/) {
1.40 albertel 145: (@GET_ARRAY_ARGS_list) = eval $CAPARESPONSE_CHECK_LIST_answer;
1.39 albertel 146: }
1.52 albertel 147: $GET_ARRAY_ARGS_result.="error:$@:\n";
1.31 albertel 148: # if the eval fails just use what is in the answer exactly
1.60 albertel 149: if (!(@GET_ARRAY_ARGS_list) || !defined($GET_ARRAY_ARGS_list[0])) {
1.52 albertel 150: $GET_ARRAY_ARGS_result.="list zero is undefined\n";
1.40 albertel 151: $GET_ARRAY_ARGS_list[0]=$CAPARESPONSE_CHECK_LIST_answer;
1.31 albertel 152: }
1.40 albertel 153: return $GET_ARRAY_ARGS_result,@GET_ARRAY_ARGS_list;
1.37 albertel 154: }
155:
156: sub caparesponse_check_list {
157: my ($response,$expr)=@_;
1.64 albertel 158: # $expr =~ s/\\/\\\\/g;
159: # $expr =~ s/\'/\\\'/g;
160: # my ($result,@list) = &get_array_args($expr,'answer');
161: # $expr =~ s/\\\'/\'/g;
162: # $expr =~ s/\\\\/\\/g;
163: my ($result,@list);
164: @list=@CAPARESPONSE_CHECK_LIST_answer;
1.15 albertel 165: my $aresult='';
1.14 albertel 166: my $current_answer;
1.39 albertel 167: my $answers=join(':',@list);
1.52 albertel 168: $result.="Got response :$answers:\n";
1.31 albertel 169: my @responselist;
1.70 albertel 170: my $type =eval $expr.';return $__LC__type;';
171: $result.="Got type :$type:\n";
1.31 albertel 172: if ($type ne '' && $#list > 0) {
173: (@responselist)=split /,/,$response;
174: } else {
175: (@responselist)=($response);
176: }
1.15 albertel 177: my $unit='';
1.52 albertel 178: $result.="Initial final response :$responselist['-1']:\n";
1.64 albertel 179: if ($type eq '' || $type eq 'float') {
1.31 albertel 180: #for numerical problems split off the unit
181: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
182: $responselist['-1']=$1;
183: $unit=$2;
184: }
1.15 albertel 185: }
1.52 albertel 186: $result.="Final final response :$responselist['-1']:\n";
187: $result.=":$#list: answers\n";
1.14 albertel 188: $unit=~s/\s//;
189: my $i=0;
190: my $awards='';
1.71 ! albertel 191: my @msgs;
1.14 albertel 192: for ($i=0; $i<@list;$i++) {
1.71 ! albertel 193: my $msg;
1.52 albertel 194: $result.="trying answer :$list[$i]:\n";
1.57 albertel 195: my $thisanswer=$list[$i];
1.64 albertel 196: # $thisanswer=~ s/\\/\\\\/g;
197: # $thisanswer =~ s/\'/\\\'/g;
198: $result.="trying answer :$thisanswer:\n";
1.19 albertel 199: if ($unit eq '') {
1.71 ! albertel 200: ($aresult,$msg)=&caparesponse_check($thisanswer,$responselist[$i],
! 201: $expr);
1.19 albertel 202: } else {
1.71 ! albertel 203: ($aresult,$msg)=&caparesponse_check($thisanswer,
! 204: $responselist[$i]." $unit",
! 205: $expr);
1.19 albertel 206: }
1.15 albertel 207: my ($temp)=split /:/, $aresult;
1.14 albertel 208: $awards.="$temp,";
1.15 albertel 209: $result.=$aresult;
1.71 ! albertel 210: push(@msgs,$msg);
1.14 albertel 211: }
212: chop $awards;
1.71 ! albertel 213: return ("$awards:\n$result",@msgs);
1.7 albertel 214: }
215:
1.4 albertel 216: sub tex {
217: if ( $external::target eq "tex" ) {
1.58 albertel 218: return $_[0];
1.4 albertel 219: } else {
1.58 albertel 220: return $_[1];
1.4 albertel 221: }
222: }
223:
1.24 ng 224: sub var_in_tex {
225: if ( $external::target eq "tex" ) {
1.58 albertel 226: return $_[0];
1.24 ng 227: } else {
228: return "";
229: }
230: }
231:
1.4 albertel 232: sub web {
233: if ( $external::target eq "tex" ) {
1.58 albertel 234: return $_[1];
1.4 albertel 235: } else {
1.43 albertel 236: if ( $external::target eq "web" || $external::target eq "answer") {
1.58 albertel 237: return $_[2];
1.26 ng 238: } else {
1.58 albertel 239: return $_[0];
1.4 albertel 240: }
241: }
242: }
243:
1.24 ng 244: sub html {
245: if ( $external::target eq "web" ) {
1.26 ng 246: return shift;
1.24 ng 247: }
248: }
249:
1.1 harris41 250: sub hinton {
251: return 0;
252: }
253:
254: sub random {
1.61 albertel 255: my ($start,$end,$step)=@_;
256: if ( ! $hidden::RANDOMINIT ) {
257: if ($external::randomseed == 0) { $external::randomseed=1; }
258: if ($external::randomseed =~/,/) {
259: my ($num1,$num2)=split(/,/,$seed);
260: &random_set_seed(abs($num1),abs($num2));
261: } else {
262: &random_set_seed(1,int(abs($external::randomseed)));
263: }
264: &math_random_uniform();
265: $hidden::RANDOMINIT=1;
266: }
267: if (!defined($step)) { $step=1; }
268: my $num=1+int(($end-$start)/$step);
269: my $result=$start + int(&math_random_uniform() * $num)*$step;
270: return $result;
1.1 harris41 271: }
272:
1.26 ng 273: sub random_normal {
274: my ($item_cnt,$seed,$av,$std_dev) = @_;
1.51 albertel 275: my @oldseed=&random_get_seed();
1.26 ng 276: my @retArray;
277: &random_set_seed_from_phrase($seed);
278: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
1.51 albertel 279: &random_set_seed(@oldseed);
1.26 ng 280: return @retArray;
281: }
282:
283: sub random_beta {
284: my ($item_cnt,$seed,$aa,$bb) = @_;
1.51 albertel 285: my @oldseed=&random_get_seed();
1.26 ng 286: my @retArray;
287: &random_set_seed_from_phrase($seed);
288: @retArray=&math_random_beta($item_cnt,$aa,$bb);
1.51 albertel 289: &random_set_seed(@oldseed);
1.26 ng 290: return @retArray;
291: }
292:
293: sub random_gamma {
294: my ($item_cnt,$seed,$a,$r) = @_;
1.51 albertel 295: my @oldseed=&random_get_seed();
1.26 ng 296: my @retArray;
297: &random_set_seed_from_phrase($seed);
298: @retArray=&math_random_gamma($item_cnt,$a,$r);
1.51 albertel 299: &random_set_seed(@oldseed);
1.26 ng 300: return @retArray;
301: }
302:
303: sub random_exponential {
304: my ($item_cnt,$seed,$av) = @_;
1.51 albertel 305: my @oldseed=&random_get_seed();
1.26 ng 306: my @retArray;
307: &random_set_seed_from_phrase($seed);
308: @retArray=&math_random_exponential($item_cnt,$av);
1.51 albertel 309: &random_set_seed(@oldseed);
1.26 ng 310: return @retArray;
311: }
312:
313: sub random_poisson {
314: my ($item_cnt,$seed,$mu) = @_;
1.51 albertel 315: my @oldseed=&random_get_seed();
1.26 ng 316: my @retArray;
317: &random_set_seed_from_phrase($seed);
318: @retArray=&math_random_poisson($item_cnt,$mu);
1.51 albertel 319: &random_set_seed(@oldseed);
1.26 ng 320: return @retArray;
321: }
322:
323: sub random_chi {
324: my ($item_cnt,$seed,$df) = @_;
1.51 albertel 325: my @oldseed=&random_get_seed();
1.26 ng 326: my @retArray;
327: &random_set_seed_from_phrase($seed);
328: @retArray=&math_random_chi_square($item_cnt,$df);
1.51 albertel 329: &random_set_seed(@oldseed);
1.26 ng 330: return @retArray;
331: }
332:
333: sub random_noncentral_chi {
334: my ($item_cnt,$seed,$df,$nonc) = @_;
1.51 albertel 335: my @oldseed=&random_get_seed();
1.26 ng 336: my @retArray;
337: &random_set_seed_from_phrase($seed);
338: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
1.51 albertel 339: &random_set_seed(@oldseed);
1.26 ng 340: return @retArray;
341: }
342:
343: sub random_f {
344: my ($item_cnt,$seed,$dfn,$dfd) = @_;
1.51 albertel 345: my @oldseed=&random_get_seed();
1.26 ng 346: my @retArray;
347: &random_set_seed_from_phrase($seed);
348: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
1.51 albertel 349: &random_set_seed(@oldseed);
1.26 ng 350: return @retArray;
351: }
352:
353: sub random_noncentral_f {
354: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
1.51 albertel 355: my @oldseed=&random_get_seed();
1.26 ng 356: my @retArray;
357: &random_set_seed_from_phrase($seed);
358: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
1.51 albertel 359: &random_set_seed(@oldseed);
1.26 ng 360: return @retArray;
361: }
362:
363: sub random_multivariate_normal {
1.33 ng 364: my ($item_cnt,$seed,$mean,$covar) = @_;
1.51 albertel 365: my @oldseed=&random_get_seed();
1.26 ng 366: &random_set_seed_from_phrase($seed);
1.33 ng 367: @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
1.51 albertel 368: &random_set_seed(@oldseed);
1.26 ng 369: return @retArray;
370: }
371:
372: sub random_multinomial {
373: my ($item_cnt,$seed,@p) = @_;
1.51 albertel 374: my @oldseed=&random_get_seed();
1.26 ng 375: my @retArray;
376: &random_set_seed_from_phrase($seed);
377: @retArray=&math_random_multinomial($item_cnt,@p);
1.51 albertel 378: &random_set_seed(@oldseed);
1.26 ng 379: return @retArray;
380: }
381:
382: sub random_permutation {
383: my ($seed,@inArray) = @_;
1.51 albertel 384: my @oldseed=&random_get_seed();
1.26 ng 385: my @retArray;
386: &random_set_seed_from_phrase($seed);
387: @retArray=&math_random_permutation(@inArray);
1.51 albertel 388: &random_set_seed(@oldseed);
1.26 ng 389: return @retArray;
390: }
391:
392: sub random_uniform {
393: my ($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($item_cnt,$low,$high);
1.51 albertel 398: &random_set_seed(@oldseed);
1.26 ng 399: return @retArray;
400: }
401:
402: sub random_uniform_integer {
403: my ($item_cnt,$seed,$low,$high) = @_;
1.51 albertel 404: my @oldseed=&random_get_seed();
1.26 ng 405: my @retArray;
406: &random_set_seed_from_phrase($seed);
407: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
1.51 albertel 408: &random_set_seed(@oldseed);
1.26 ng 409: return @retArray;
410: }
411:
412: sub random_binomial {
413: my ($item_cnt,$seed,$nt,$p) = @_;
1.51 albertel 414: my @oldseed=&random_get_seed();
1.26 ng 415: my @retArray;
416: &random_set_seed_from_phrase($seed);
417: @retArray=&math_random_binomial($item_cnt,$nt,$p);
1.51 albertel 418: &random_set_seed(@oldseed);
1.26 ng 419: return @retArray;
420: }
421:
422: sub random_negative_binomial {
423: my ($item_cnt,$seed,$ne,$p) = @_;
1.51 albertel 424: my @oldseed=&random_get_seed();
1.26 ng 425: my @retArray;
426: &random_set_seed_from_phrase($seed);
427: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
1.51 albertel 428: &random_set_seed(@oldseed);
1.26 ng 429: return @retArray;
430: }
431:
1.23 ng 432: sub abs { abs(shift) }
433: sub sin { sin(shift) }
434: sub cos { cos(shift) }
435: sub exp { exp(shift) }
436: sub int { int(shift) }
437: sub log { log(shift) }
438: sub atan2 { atan2($_[0],$_[1]) }
439: sub sqrt { sqrt(shift) }
440:
1.59 albertel 441: sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
1.21 harris41 442: #sub atan { atan2($_[0], 1); }
443: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
444: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
1.22 ng 445:
1.59 albertel 446: sub log10 { CORE::log($_[0])/CORE::log(10); }
1.22 ng 447:
1.20 harris41 448: sub factorial {
1.59 albertel 449: my $input = CORE::int(shift);
1.20 harris41 450: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
451: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
452: return 1 if $input == 0;
453: my $result = 1;
454: for (my $i=2; $i<=$input; $i++) { $result *= $i }
455: return $result;
456: }
457:
458: sub sgn {
459: return -1 if $_[0] < 0;
460: return 0 if $_[0] == 0;
461: return 1 if $_[0] > 0;
462: }
463:
464: sub min {
465: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
466: return shift @sorted;
467: }
468:
469: sub max {
470: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
471: return pop @sorted;
472: }
1.1 harris41 473:
1.20 harris41 474: sub roundto {
475: my ($input,$n) = @_;
476: return sprintf('%.'.$n.'f',$input);
477: }
478:
479: sub to_string {
480: my ($input,$n) = @_;
1.26 ng 481: return sprintf($input) if $n eq "";
482: $n = '.'.$n if $n !~ /^\./;
1.20 harris41 483: return sprintf('%'.$n,$input) if $n ne "";
484: }
485:
486: sub sub_string {
487: my ($str,$start,$len) = @_;
488: return substr($str,$start-1,$len);
489: }
1.1 harris41 490:
491: sub pow {return $_[0] ** $_[1]; }
1.59 albertel 492: sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
493: sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
1.27 ng 494: #sub floor {return int($_[0]); }
1.1 harris41 495:
1.2 albertel 496: sub format {
497: my ($value,$fmt)=@_;
1.48 albertel 498: my $dollarmode;
499: if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; }
1.67 albertel 500: $fmt=~s/e/E/g;
1.48 albertel 501: my $result=sprintf('%.'.$fmt,$value);
1.50 albertel 502: $result=~s/(E[+-]*)0/$1/;
1.48 albertel 503: if ($dollarmode) {$result=&dollarmode($result);}
504: return $result;
1.46 albertel 505: }
506:
507: sub prettyprint {
1.69 albertel 508: my ($value,$fmt,$target)=@_;
1.46 albertel 509: my $result;
1.48 albertel 510: my $dollarmode;
1.69 albertel 511: if (!$target) { $target = $external::target; }
1.48 albertel 512: if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; }
1.46 albertel 513: if ($fmt) { $value=sprintf('%.'.$fmt,$value); }
1.68 ng 514: if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/i ) {
1.46 albertel 515: my $frac=$1;
1.48 albertel 516: if ($dollarmode) { $frac=&dollarformat($frac); }
1.46 albertel 517: my $exponent=$2;
518: $exponent=~s/^\+0*//;
1.50 albertel 519: $exponent=~s/^-0*/-/;
1.65 albertel 520: $exponent=~s/^-0*/-/;
521: if ($exponent eq '-') { undef($exponent); }
1.48 albertel 522: if ($exponent) {
1.69 albertel 523: if ($target eq 'web') {
1.48 albertel 524: $result=$frac.'×10<sup>'.$exponent.'</sup>';
1.69 albertel 525: } elsif ($target eq 'tex') {
1.48 albertel 526: $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
527: } else {
528: $result=$value;
529: }
1.46 albertel 530: } else {
1.48 albertel 531: $result=$frac;
1.46 albertel 532: }
533: } else {
534: $result=$value;
1.69 albertel 535: if ($dollarmode) { $result=&dollarformat($result,$target); }
1.46 albertel 536: }
537: return $result;
1.48 albertel 538: }
539:
540: sub dollarformat {
1.69 albertel 541: my ($number,$target) = @_;
542: if (!$target) { $target = $external::target; }
1.48 albertel 543: if ($number =~ /\./) {
544: while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*$)/) {
545: $number = $1.','.$2.$3;
546: }
547: } else {
548: while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) {
549: $number = $1.','.$2.$3;
550: }
551: }
1.69 albertel 552: if ($target eq 'tex') {
1.48 albertel 553: $number='\$'.$number; #' stupid emacs
554: } else {
555: $number='$'.$number; #' stupid emacs
556: }
557: return $number;
1.2 albertel 558: }
1.5 albertel 559:
560: sub map {
1.27 ng 561: my ($phrase,$dest,$source)=@_;
1.51 albertel 562: my @oldseed=&random_get_seed();
1.27 ng 563: my @seed = &random_seed_from_phrase($phrase);
564: &random_set_seed(@seed);
565: my $destct = scalar(@$dest);
1.28 ng 566: if (!$source) {
567: my @output;
568: my @idx = &math_random_permuted_index($destct);
569: my $ctr = 0;
570: while ($ctr < $destct) {
571: $output[$ctr] = $$dest[$idx[$ctr]];
1.27 ng 572: $ctr++;
1.28 ng 573: }
1.51 albertel 574: &random_set_seed(@oldseed);
1.28 ng 575: return @output;
1.27 ng 576: } else {
1.28 ng 577: my $num = scalar(@$source);
578: my @idx = &math_random_permuted_index($num);
579: my $ctr = 0;
580: my $tot = $num;
581: $tot = $destct if $destct < $num;
582: if (ref($$dest[0])) {
583: while ($ctr < $tot) {
584: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
585: $ctr++;
586: }
587: } else {
588: while ($ctr < $tot) {
589: $$dest[$ctr] = $$source[$idx[$ctr]];
590: $ctr++;
591: }
592: }
1.27 ng 593: }
1.56 albertel 594: &random_set_seed(@oldseed);
1.51 albertel 595: return '';
1.27 ng 596: }
597:
598: sub rmap {
599: my ($phrase,$dest,$source)=@_;
1.51 albertel 600: my @oldseed=&random_get_seed();
1.27 ng 601: my @seed = &random_seed_from_phrase($phrase);
602: &random_set_seed(@seed);
603: my $destct = scalar(@$dest);
1.28 ng 604: if (!$source) {
605: my @idx = &math_random_permuted_index($destct);
606: my $ctr = 0;
607: my @r_idx;
608: while ($ctr < $destct) {
609: $r_idx[$idx[$ctr]] = $ctr;
610: $ctr++;
611: }
612: my @output;
613: $ctr = 0;
614: while ($ctr < $destct) {
615: $output[$ctr] = $$dest[$r_idx[$ctr]];
1.27 ng 616: $ctr++;
1.28 ng 617: }
1.51 albertel 618: &random_set_seed(@oldseed);
1.28 ng 619: return @output;
1.27 ng 620: } else {
1.28 ng 621: my $num = scalar(@$source);
622: my @idx = &math_random_permuted_index($num);
623: my $ctr = 0;
624: my $tot = $num;
625: $tot = $destct if $destct < $num;
626: my @r_idx;
1.27 ng 627: while ($ctr < $tot) {
1.28 ng 628: $r_idx[$idx[$ctr]] = $ctr;
1.27 ng 629: $ctr++;
1.28 ng 630: }
631: $ctr = 0;
632: if (ref($$dest[0])) {
633: while ($ctr < $tot) {
634: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
635: $ctr++;
636: }
637: } else {
638: while ($ctr < $tot) {
639: $$dest[$ctr] = $$source[$r_idx[$ctr]];
640: $ctr++;
641: }
642: }
1.6 albertel 643: }
1.51 albertel 644: &random_set_seed(@oldseed);
645: return '';
1.5 albertel 646: }
1.22 ng 647:
1.23 ng 648: sub capa_id { return }
649:
650: sub problem { return }
651:
1.22 ng 652: sub name{
653: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
654: $fullname = "" if $fullname eq ", ";
1.26 ng 655: $fullname =~ s/\%2d/-/g;
1.22 ng 656: return $fullname;
657: }
658:
659: sub student_number {
660: my $id = &EXT('environment.id');
661: $id = '' if $id eq "";
662: return $id;
663: }
664:
665: sub class {
666: my $course = &EXT('course.description');
667: $course = '' if $course eq "";
668: return $course;
669: }
670:
671: sub sec {
672: my $sec = &EXT('request.course.sec');
1.23 ng 673: $sec = '' if $sec eq "";
1.22 ng 674: return $sec;
675: }
676:
1.23 ng 677: sub open_date {
678: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
1.24 ng 679: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
680: my @hm = split(/:/,$dc[3]);
681: my $ampm = " am";
682: if ($hm[0] > 12) {
683: $hm[0]-=12;
684: $ampm = " pm";
685: }
686: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
1.23 ng 687: }
688:
689: sub due_date {
690: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
1.24 ng 691: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
692: my @hm = split(/:/,$dc[3]);
693: my $ampm = " am";
694: if ($hm[0] > 12) {
695: $hm[0]-=12;
696: $ampm = " pm";
697: }
698: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
699: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
1.23 ng 700: }
701:
702: sub answer_date {
703: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
1.24 ng 704: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
705: my @hm = split(/:/,$dc[3]);
706: my $ampm = " am";
707: if ($hm[0] > 12) {
708: $hm[0]-=12;
709: $ampm = " pm";
710: }
711: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
712: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
713: }
714:
715: sub array_moments {
716: my @input=@_;
717: my (@output,$N);
718: $N=scalar (@input);
719: $output[0]=$N;
720: if ($N <= 1) {
721: $output[1]=$input[0];
1.28 ng 722: $output[1]="Input array not defined" if ($N == 0);
1.24 ng 723: $output[2]="variance undefined for N<=1";
724: $output[3]="skewness undefined for N<=1";
725: $output[4]="kurtosis undefined for N<=1";
726: return @output;
727: }
728: my $sum=0;
729: foreach my $line (@input) {
730: $sum+=$line;
731: }
732: $output[1] = $sum/$N;
733: my ($x,$sdev,$var,$skew,$kurt) = 0;
734: foreach my $line (@input) {
735: $x=$line-$output[1];
736: $var+=$x**2;
737: $skew+=$x**3;
738: $kurt+=$x**4;
739: }
740: $output[2]=$var/($N-1);
1.59 albertel 741: $sdev=CORE::sqrt($output[2]);
1.24 ng 742: if ($sdev == 0) {
743: $output[3]="inf-variance=0";
744: $output[4]="inf-variance=0";
745: return @output;
746: }
747: $output[3]=$skew/($sdev**3*$N);
748: $output[4]=$kurt/($sdev**4*$N)-3;
749: return @output;
750: }
1.5 albertel 751:
752: sub choose {
753: my $num = $_[0];
754: return $_[$num];
755: }
1.23 ng 756:
1.49 albertel 757: # expiremental idea
758: sub proper_path {
759: my ($path)=@_;
760: if ( $external::target eq "tex" ) {
761: return '/home/httpd/html'.$path;
762: } else {
763: return $path;
764: }
765: }
1.23 ng 766:
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