Annotation of loncom/homework/default_homework.lcpm, revision 1.149
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: #
1.149 ! raeburn 4: # $Id: default_homework.lcpm,v 1.148 2010/10/14 04:59:08 raeburn 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: #
1.76 albertel 29:
1.25 albertel 30: #init some globals
1.38 albertel 31: $hidden::RANDOMINIT=0;
1.22 ng 32: $pi=atan2(1,1)*4;
33: $rad2deg=180.0/$pi;
34: $deg2rad=$pi/180.0;
1.44 matthew 35: $"=' ';
1.116 albertel 36: use strict;
37: {
38: my $n = 0;
39: my $total = 0;
40: my $num_left = 0;
41: my @order;
42: my $type;
43:
44: sub init_permutation {
45: my ($size,$requested_type) = @_;
46: @order = (0..$size-1);
47: $n = $size;
48: $type = $requested_type;
49: if ($type eq 'ordered') {
50: $total = $num_left = 1;
51: } elsif ($type eq 'unordered') {
52: $total = $num_left = &factorial($size);
53: } else {
54: die("Unkown type: $type");
55: }
56: }
57:
58: sub get_next_permutation {
59: if ($num_left == $total) {
60: $num_left--;
1.117 albertel 61: return \@order;
1.116 albertel 62: }
63:
64: # Find largest index j with a[j] < a[j+1]
65:
66: my $j = scalar(@order) - 2;
67: while ($order[$j] > $order[$j+1]) {
68: $j--;
69: }
70:
71: # Find index k such that a[k] is smallest integer
72: # greater than a[j] to the right of a[j]
73:
74: my $k = scalar(@order) - 1;
75: while ($order[$j] > $order[$k]) {
76: $k--;
77: }
78:
79: # Interchange a[j] and a[k]
80:
81: @order[($k,$j)] = @order[($j,$k)];
82:
83: # Put tail end of permutation after jth position in increasing order
84:
85: my $r = scalar(@order) - 1;
86: my $s = $j + 1;
87:
88: while ($r > $s) {
89: @order[($s,$r)]=@order[($r,$s)];
90: $r--;
91: $s++;
92: }
93:
94: $num_left--;
1.117 albertel 95: return(\@order);
1.116 albertel 96: }
97:
98: sub get_permutations_left {
99: return $num_left;
100: }
101: }
1.3 albertel 102:
1.91 albertel 103: sub check_commas {
104: my ($response)=@_;
105: #print("$response ");
106: my @numbers=split(',',$response);
107: #print(" numbers ".join('-',@numbers)." ");
108: if (scalar(@numbers) > 1) {
109: #print(" numbers[0] ".$numbers[0]." ");
110: if (length($numbers[0]) > 3 || length($numbers[0]) == 0) { return -1; }
111: shift(@numbers);
112: #print(" numbers ".scalar(@numbers)." ");
113: while (scalar(@numbers) > 1) {
114: #print(" numbers ".join('-',@numbers)." ");
115: if (length($numbers[0]) != 3) { return -2; }
116: shift(@numbers);
117: }
118: my ($number)=split('\.',$numbers[0]);
119: #print(" number ".$number." ");
120: #print(" numbers[0] ".$numbers[0]." ");
121: if (length($number) != 3) { return -3; }
122: } else {
123: my ($number)=split('\.',$numbers[0]);
124: if (length($number) > 3) { return -4; }
125: }
126: return 1;
127: }
128:
1.117 albertel 129:
1.7 albertel 130: sub caparesponse_check {
1.74 albertel 131: my ($answer,$response)=@_;
1.73 albertel 132: #not properly used yet: calc
133: #not to be used: $ans_fmt
1.74 albertel 134: my $type=$LONCAPA::CAPAresponse_args{'type'};
135: my $tol=$LONCAPA::CAPAresponse_args{'tol'};
136: my $sig=$LONCAPA::CAPAresponse_args{'sig'};
1.88 albertel 137: my $ans_fmt=$LONCAPA::CAPAresponse_args{'format'};
1.74 albertel 138: my $unit=$LONCAPA::CAPAresponse_args{'unit'};
139: my $calc=$LONCAPA::CAPAresponse_args{'calc'};
140: my $samples=$LONCAPA::CAPAresponse_args{'samples'};
1.73 albertel 141:
142: my $tol_type=''; # gets it's value from whether tol has a % or not done
143: my $sig_lbound=''; #done
144: my $sig_ubound=''; #done
145:
146:
147: #type's definitons come from capaParser.h
1.116 albertel 148:
1.73 albertel 149: #remove leading and trailing whitespace
150: if (!defined($response)) {
151: $response='';
152: }
153: if ($response=~ /^\s|\s$/) {
154: $response=~ s:^\s+|\s+$::g;
1.119 albertel 155: &LONCAPA_INTERNAL_DEBUG("Removed ws now :$response:");
1.73 albertel 156: }
1.116 albertel 157:
1.117 albertel 158: #&LONCAPA_INTERNAL_DEBUG(" type is $type ");
1.100 albertel 159: if ($type eq 'cs' || $type eq 'ci') {
1.130 www 160: #for string answers make sure all places spaces occur, there is
1.76 albertel 161: #really only 1 space, in both the answer and the response
162: $answer=~s/ +/ /g;
163: $response=~s/ +/ /g;
1.100 albertel 164: } elsif ($type eq 'mc') {
165: $answer=~s/[\s,]//g;
166: $response=~s/[\s,]//g;
1.76 albertel 167: }
1.91 albertel 168: if ($type eq 'float' && $unit=~/\$/) {
1.126 www 169: if ($response!~/^\$|\$$/) { return ('NO_UNIT', undef); }
1.88 albertel 170: $response=~s/\$//g;
171: }
1.91 albertel 172: if ($type eq 'float' && $unit=~/\,/ && (&check_commas($response)<0)) {
173: return "COMMA_FAIL:";
174: }
1.88 albertel 175: $ans_fmt=~s/\W//g;
1.91 albertel 176: $unit=~s/[\$,]//g;
177: if ($type eq 'float') { $response=~s/,//g; }
1.88 albertel 178:
1.117 albertel 179: if (length($response) > 500) { return ('TOO_LONG',undef); }
1.73 albertel 180:
181: if ($type eq '' ) {
1.119 albertel 182: &LONCAPA_INTERNAL_DEBUG("Didn't find a type :$type: defaulting");
1.73 albertel 183: if ( $answer eq ($answer *1.0)) { $type = 2;
184: } else { $type = 3; }
185: } else {
1.107 albertel 186: if ($type eq 'cs') { $type = 4; }
1.73 albertel 187: elsif ($type eq 'ci') { $type = 3 }
188: elsif ($type eq 'mc') { $type = 5; }
189: elsif ($type eq 'fml') { $type = 8; }
1.107 albertel 190: elsif ($type eq 'math') { $type = 9; }
1.73 albertel 191: elsif ($type eq 'subj') { $type = 7; }
192: elsif ($type eq 'float') { $type = 2; }
193: elsif ($type eq 'int') { $type = 1; }
1.117 albertel 194: else { return ('ERROR', "Unknown type of answer: $type") }
1.73 albertel 195: }
196:
197: my $points;
198: my $id_list;
199: #formula type setup the sample points
200: if ($type eq '8') {
201: ($id_list,$points)=split(/@/,$samples);
1.119 albertel 202: &LONCAPA_INTERNAL_DEBUG("Found :$id_list:$points: points in $samples");
1.73 albertel 203: }
204: if ($tol eq '') {
205: $tol=0.0;
206: $tol_type=1; #TOL_ABSOLUTE
207: } else {
208: if ($tol =~ /%$/) {
209: chop $tol;
210: $tol_type=2; #TOL_PERCENTAGE
211: } else {
212: $tol_type=1; #TOL_ABSOLUTE
213: }
214: }
215:
1.85 albertel 216: ($sig_ubound,$sig_lbound)=&LONCAPA_INTERNAL_get_sigrange($sig);
217:
1.73 albertel 218: my $reterror="";
1.107 albertel 219: my $result;
1.142 raeburn 220: if (($type eq '9') || ($type eq '8')) {
221: if ($response=~/\=/) {
222: return ('BAD_FORMULA','Please submit just an expression, not an equation.');
1.143 riegler 223: } elsif ($response =~ /\,/ and $response !~ /^\s*\{.*\}\s*$/) {
1.142 raeburn 224: return ('BAD_FORMULA');
225: }
226: }
1.107 albertel 227: if ($type eq '9') {
1.108 www 228: $result = &maxima_check(&maxima_cas_formula_fix($response),&maxima_cas_formula_fix($answer),\$reterror);
1.107 albertel 229: } else {
1.109 albertel 230: if ($type eq '8') { # fml type
231: $response = &capa_formula_fix($response);
232: $answer = &capa_formula_fix($answer);
233: }
234: $result = &caparesponse_capa_check_answer($response,$answer,$type,
1.73 albertel 235: $tol_type,$tol,
236: $sig_lbound,$sig_ubound,
237: $ans_fmt,$unit,$calc,$id_list,
238: $points,$external::randomseed,
239: \$reterror);
1.107 albertel 240: }
1.73 albertel 241: if ($result == '1') { $result='EXACT_ANS'; }
242: elsif ($result == '2') { $result='APPROX_ANS'; }
243: elsif ($result == '3') { $result='SIG_FAIL'; }
244: elsif ($result == '4') { $result='UNIT_FAIL'; }
245: elsif ($result == '5') { $result='NO_UNIT'; }
246: elsif ($result == '6') { $result='UNIT_OK'; }
247: elsif ($result == '7') { $result='INCORRECT'; }
248: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
249: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
250: elsif ($result =='10') { $result='SUB_RECORDED'; }
251: elsif ($result =='11') { $result='BAD_FORMULA'; }
1.94 albertel 252: elsif ($result =='12' && !$response) { $result='MISSING_ANSWER'; }
253: elsif ($result =='12') { $result='WANTED_NUMERIC'; }
1.77 albertel 254: elsif ($result =='13') { $result='UNIT_INVALID_INSTRUCTOR'; }
255: elsif ($result =='141') { $result='UNIT_INVALID_STUDENT'; }
256: elsif ($result =='142') { $result='UNIT_INVALID_STUDENT'; }
257: elsif ($result =='143') { $result='UNIT_INVALID_STUDENT'; }
258: elsif ($result =='15') { $result='UNIT_IRRECONCIBLE'; }
1.73 albertel 259: else {$result = "ERROR: Unknown Result:$result:$@:";}
260:
1.119 albertel 261: &LONCAPA_INTERNAL_DEBUG("RetError $reterror: Answer $answer: Response $response: type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|");
262: &LONCAPA_INTERNAL_DEBUG(" $answer $response $result ");
1.139 raeburn 263: return ($result,$reterror);
1.37 albertel 264: }
265:
1.73 albertel 266:
1.37 albertel 267: sub caparesponse_check_list {
1.119 albertel 268: my $responses=$LONCAPA::CAPAresponse_args{'response'};
1.105 albertel 269: &LONCAPA_INTERNAL_DEBUG("args ".join(':',%LONCAPA::CAPAresponse_args));
1.74 albertel 270: my $type = $LONCAPA::CAPAresponse_args{'type'};
1.133 www 271: my $answerunit=$LONCAPA::CAPAresponse_args{'unit'};
272: &LONCAPA_INTERNAL_DEBUG("Got type :$type: answer unit :$answerunit:\n");
1.119 albertel 273:
274: my $num_input_lines =
275: scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}});
1.120 albertel 276:
277: if ($type ne '' ) {
1.119 albertel 278: if (scalar(@$responses) < $num_input_lines) {
1.105 albertel 279: return 'MISSING_ANSWER';
280: }
1.119 albertel 281: if (scalar(@$responses) > $num_input_lines) {
282: return 'EXTRA_ANSWER';
283: }
284:
285: }
286:
287: foreach my $which (0..($num_input_lines-1)) {
288: my $answer_size =
289: scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}[$which]});
290: if ($type ne ''
291: && $answer_size > 1) {
292: $responses->[$which]=[split(/,/,$responses->[$which])];
293: } else {
294: $responses->[$which]=[$responses->[$which]];
295: }
296: }
297: foreach my $which (0..($num_input_lines-1)) {
298: my $answer_size =
299: scalar(@{$LONCAPA::CAPAresponse_answer->{'answers'}[$which]});
300: my $response_size =
301: scalar(@{$responses->[$which]});
302: if ($answer_size > $response_size) {
303: return 'MISSING_ANSWER';
304: }
305: if ($answer_size < $response_size) {
1.105 albertel 306: return 'EXTRA_ANSWER';
307: }
1.73 albertel 308: }
1.119 albertel 309:
310: &LONCAPA_INTERNAL_DEBUG("Initial final response :$responses->[0][-1]:");
1.105 albertel 311: my $unit;
1.140 raeburn 312: if ($type eq 'float' || $type eq '') {
1.73 albertel 313: #for numerical problems split off the unit
1.128 www 314: # if ( $responses->[0][-1]=~ /(.*[^\s])\s+([^\s]+)/ ) {
1.132 www 315: if ( $responses->[0][-1]=~ /^([\d\.\,\s\$]*(?:(?:[xX\*]10[\^\*]*|[eE]*)[\+\-]*\d*)*(?:^|\S)\d+)([\$\s\w\^\*\/\(\)\+\-]*[^\d\.\s\,][\$\s\w\^\*\/\(\)\+\-]*)$/ ) {
1.119 albertel 316: $responses->[0][-1]=$1;
1.128 www 317: $unit=&capa_formula_fix($2);
318: &LONCAPA_INTERNAL_DEBUG("Found unit :$unit:");
1.73 albertel 319: }
320: }
1.119 albertel 321: &LONCAPA_INTERNAL_DEBUG("Final final response :$responses->[0][-1]:$unit:");
1.73 albertel 322: $unit=~s/\s//;
1.149 ! raeburn 323: my $error;
1.133 www 324: foreach my $response (@$responses) {
325: foreach my $element (@$response) {
1.138 raeburn 326: if (($type eq 'float') || (($type eq '') && ($unit ne ''))) {
327: $element =~ s/\s//g;
328: }
1.133 www 329: my $appendunit=$unit;
1.147 www 330: # Deal with percentages
331: # unit is unit entered by student, answerunit is unit by author
332: # Deprecated: divide answer by 100 if student entered percent,
333: # but author did not. Too much confusion
1.146 www 334: # if (($unit=~/\%/) && ($answerunit ne '%')) {
335: # $element=$element/100;
336: # $appendunit=~s/\%//;
337: # }
1.147 www 338: # Author entered percent, student did not
339: if (($unit!~/\%/) && ($answerunit=~/\%/)) {
340: $element=$element*100;
341: $appendunit='%'.$appendunit;
342: }
343: # Zero does not need a dimension
1.133 www 344: if (($element==0) && ($unit!~/\w/) && ($answerunit=~/\w/)) {
345: $appendunit=$answerunit;
346: }
1.148 raeburn 347: if ($appendunit ne '') {
348: $element .= " $appendunit";
349: }
1.133 www 350: &LONCAPA_INTERNAL_DEBUG("Made response element :$element:");
351: }
1.119 albertel 352: }
353:
1.117 albertel 354: foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
355: if (!defined($thisanswer)) {
356: return ('ERROR','answer was undefined');
357: }
358: }
359:
360:
1.121 albertel 361: # &LONCAPA_INTERNAL_DEBUG(&LONCAPA_INTERNAL_Dumper($responses));
1.117 albertel 362: my %memoized;
363: if ($LONCAPA::CAPAresponse_answer->{'type'} eq 'ordered') {
1.119 albertel 364: for (my $i=0; $i<scalar(@$responses);$i++) {
1.117 albertel 365: my $answer = $LONCAPA::CAPAresponse_answer->{'answers'}[$i];
1.119 albertel 366: my $response = $responses->[$i];
1.117 albertel 367: my $key = "$answer\0$response";
1.119 albertel 368: my (@awards,@msgs);
369: for (my $j=0; $j<scalar(@$response); $j++) {
370: my ($award,$msg) = &caparesponse_check($answer->[$j],
371: $response->[$j]);
1.149 ! raeburn 372: if ($type eq 'cs' || $type eq 'ci') {
! 373: $error = &verify_stringresponse($type,$award,$response->[$j],
! 374: $answer->[$j]);
! 375: }
1.119 albertel 376: push(@awards,$award);
377: push(@msgs, $msg);
378: }
379: my ($award,$msg) =
380: &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
381: $memoized{$key} = [$award,$msg];
1.117 albertel 382: }
383: } else {
1.119 albertel 384: #FIXME broken with unorder responses where one is a <value>
385: # and the other is a <vector> (need to delay parse til
386: # inside the loop?)
387: foreach my $response (@$responses) {
388: my $response_size = scalar(@{$response});
1.117 albertel 389: foreach my $answer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
390: my $key = "$answer\0$response";
1.119 albertel 391: my $answer_size = scalar(@{$answer});
392: my ($award,$msg);
393: if ($answer_size > $response_size) {
394: $award = 'MISSING_ANSWER';
395: } elsif ($answer_size < $response_size) {
396: $award = 'EXTRA_ANSWER';
397: } else {
398: my (@awards,@msgs);
399: for (my $j=0; $j<scalar(@$response); $j++) {
400: my ($award,$msg) = &caparesponse_check($answer->[$j],
401: $response->[$j]);
1.149 ! raeburn 402: if ($type eq 'cs' || $type eq 'ci') {
! 403: $error = &verify_stringresponse($type,$award,$response->[$j],
! 404: $answer->[$j]);
! 405: }
1.119 albertel 406: push(@awards,$award);
407: push(@msgs, $msg);
408: }
409: ($award,$msg) =
410: &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
411: }
412: $memoized{$key} = [$award,$msg];
1.117 albertel 413: }
414: }
415: }
416:
1.116 albertel 417: my ($final_award,$final_msg);
1.119 albertel 418: &init_permutation(scalar(@$responses),
1.116 albertel 419: $LONCAPA::CAPAresponse_answer->{'type'});
1.117 albertel 420:
1.118 albertel 421: # possible FIXMEs
422: # - significant time is spent calling non-safe space routine
423: # from safe space
424: # - early outs could be possible with classifying awards is to stratas
425: # and stopping as so as hitting the top strata
426: # - some early outs also might be possible with check ing the
427: # memoized hash of results (is correct even possible? etc.)
428:
1.117 albertel 429: my (@final_awards,@final_msg);
1.116 albertel 430: while( &get_permutations_left() ) {
1.117 albertel 431: my $order = &get_next_permutation();
1.116 albertel 432: my (@awards, @msgs, $i);
433: foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
1.119 albertel 434: my $key = "$thisanswer\0".$responses->[$order->[$i]];
1.117 albertel 435: push(@awards,$memoized{$key}[0]);
436: push(@msgs,$memoized{$key}[1]);
1.116 albertel 437: $i++;
1.119 albertel 438:
1.116 albertel 439: }
1.119 albertel 440: &LONCAPA_INTERNAL_DEBUG(" all awards ".join(':',@awards));
441:
1.116 albertel 442: my ($possible_award,$possible_msg) =
443: &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
1.119 albertel 444: &LONCAPA_INTERNAL_DEBUG(" pos awards ".$possible_award);
1.117 albertel 445: push(@final_awards,$possible_award);
446: push(@final_msg,$possible_msg);
1.73 albertel 447: }
1.117 albertel 448:
1.119 albertel 449: &LONCAPA_INTERNAL_DEBUG(" all final_awards ".join(':',@final_awards));
1.117 albertel 450: my ($final_award,$final_msg) =
451: &LONCAPA_INTERNAL_FINALIZEAWARDS(\@final_awards,\@final_msg,undef,1);
1.149 ! raeburn 452: return ($final_award,$final_msg,$error);
! 453: }
! 454:
! 455: sub verify_stringresponse {
! 456: my ($type,$award,$resp,$ans) = @_;
! 457: return if ($award eq 'EXACT_ANS');
! 458: my $error;
! 459: if ($resp =~ /^\s|\s$/) {
! 460: $resp =~ s{^\s+|\s+$}{}g;
! 461: }
! 462: if ($ans =~ /^\s|\s$/) {
! 463: $ans =~ s{^\s+|\s+$}{}g;
! 464: }
! 465: if ($type eq 'ci') {
! 466: $resp = lc($resp);
! 467: $ans = lc($ans);
! 468: }
! 469: if ($resp eq $ans) {
! 470: if ($award eq 'INCORRECT') {
! 471: $error = 'MISGRADED';
! 472: }
! 473: }
! 474: return $error;
1.7 albertel 475: }
476:
1.124 www 477: sub cas {
1.137 www 478: my ($system,$input,$library)=@_;
1.124 www 479: my $output;
1.145 www 480: my $dump;
1.124 www 481: if ($system eq 'maxima') {
1.137 www 482: $output=&maxima_eval($input,$library);
1.144 www 483: } elsif ($system eq 'R') {
1.145 www 484: ($output,$dump)=&r_eval($input,$library,0);
1.137 www 485: } else {
486: $output='Error: unrecognized CAS';
1.124 www 487: }
488: return $output;
489: }
490:
1.145 www 491: sub cas_hashref {
492: my ($system,$input,$library)=@_;
493: if ($system eq 'maxima') {
494: return 'Error: unsupported CAS';
495: } elsif ($system eq 'R') {
496: return &r_eval($input,$library,1);
497: } else {
498: return 'Error: unrecognized CAS';
499: }
500: }
501:
502: #
503: # cas_hashref_entry takes a list of indices and gets the entry in a hash generated by Rreturn.
504: # Call: cas_hashref_entry(Rvalue, index1, index2, ...) where Rvalue is a hash returned by Rreturn.
505: # Rentry will return the first scalar value it encounters (ignoring excess indices).
506: # If an invalid key is given, it returns undef.
507: #
508: sub cas_hashref_entry {
509: return &Rentry(@_);
510: }
511:
512: #
513: # cas_hashref_array takes a list of indices and gets a column array from a hash generated by Rreturn.
514: # Call: cas_hashref_array(Rvalue, index1, index2, ...) where Rvalue is a hash returned by Rreturn.
515: # If an invalid key is given, it returns undef.
516: #
517: sub cas_hashref_array {
518: return &Rarray(@_);
519: }
520:
1.4 albertel 521: sub tex {
1.73 albertel 522: if ( $external::target eq "tex" ) {
523: return $_[0];
524: } else {
525: return $_[1];
526: }
1.4 albertel 527: }
528:
1.24 ng 529: sub var_in_tex {
1.73 albertel 530: if ( $external::target eq "tex" ) {
531: return $_[0];
532: } else {
533: return "";
534: }
1.24 ng 535: }
536:
1.4 albertel 537: sub web {
1.73 albertel 538: if ( $external::target eq "tex" ) {
539: return $_[1];
1.26 ng 540: } else {
1.73 albertel 541: if ( $external::target eq "web" || $external::target eq "answer") {
542: return $_[2];
543: } else {
544: return $_[0];
545: }
1.4 albertel 546: }
547: }
548:
1.24 ng 549: sub html {
1.73 albertel 550: if ( $external::target eq "web" ) {
551: return shift;
552: }
1.24 ng 553: }
554:
1.1 harris41 555: sub hinton {
1.73 albertel 556: return 0;
1.1 harris41 557: }
558:
559: sub random {
1.61 albertel 560: my ($start,$end,$step)=@_;
561: if ( ! $hidden::RANDOMINIT ) {
562: if ($external::randomseed == 0) { $external::randomseed=1; }
563: if ($external::randomseed =~/,/) {
1.84 albertel 564: my ($num1,$num2)=split(/,/,$external::randomseed);
565: &random_set_seed(1,abs($num1));
566: } elsif ($external::randomseed =~/:/) {
567: my ($num1,$num2)=split(/:/,$external::randomseed);
1.61 albertel 568: &random_set_seed(abs($num1),abs($num2));
569: } else {
570: &random_set_seed(1,int(abs($external::randomseed)));
571: }
572: &math_random_uniform();
573: $hidden::RANDOMINIT=1;
574: }
575: if (!defined($step)) { $step=1; }
576: my $num=1+int(($end-$start)/$step);
577: my $result=$start + int(&math_random_uniform() * $num)*$step;
578: return $result;
1.1 harris41 579: }
580:
1.26 ng 581: sub random_normal {
1.73 albertel 582: my ($item_cnt,$seed,$av,$std_dev) = @_;
583: my @oldseed=&random_get_seed();
584: my @retArray;
585: &random_set_seed_from_phrase($seed);
586: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
587: &random_set_seed(@oldseed);
588: return @retArray;
1.26 ng 589: }
590:
591: sub random_beta {
1.73 albertel 592: my ($item_cnt,$seed,$aa,$bb) = @_;
593: my @oldseed=&random_get_seed();
594: my @retArray;
595: &random_set_seed_from_phrase($seed);
596: @retArray=&math_random_beta($item_cnt,$aa,$bb);
597: &random_set_seed(@oldseed);
598: return @retArray;
1.26 ng 599: }
600:
601: sub random_gamma {
1.73 albertel 602: my ($item_cnt,$seed,$a,$r) = @_;
603: my @oldseed=&random_get_seed();
604: my @retArray;
605: &random_set_seed_from_phrase($seed);
606: @retArray=&math_random_gamma($item_cnt,$a,$r);
607: &random_set_seed(@oldseed);
608: return @retArray;
1.26 ng 609: }
610:
611: sub random_exponential {
1.73 albertel 612: my ($item_cnt,$seed,$av) = @_;
613: my @oldseed=&random_get_seed();
614: my @retArray;
615: &random_set_seed_from_phrase($seed);
616: @retArray=&math_random_exponential($item_cnt,$av);
617: &random_set_seed(@oldseed);
618: return @retArray;
1.26 ng 619: }
620:
621: sub random_poisson {
1.73 albertel 622: my ($item_cnt,$seed,$mu) = @_;
623: my @oldseed=&random_get_seed();
624: my @retArray;
625: &random_set_seed_from_phrase($seed);
626: @retArray=&math_random_poisson($item_cnt,$mu);
627: &random_set_seed(@oldseed);
628: return @retArray;
1.26 ng 629: }
630:
631: sub random_chi {
1.73 albertel 632: my ($item_cnt,$seed,$df) = @_;
633: my @oldseed=&random_get_seed();
634: my @retArray;
635: &random_set_seed_from_phrase($seed);
636: @retArray=&math_random_chi_square($item_cnt,$df);
637: &random_set_seed(@oldseed);
638: return @retArray;
1.26 ng 639: }
640:
641: sub random_noncentral_chi {
1.73 albertel 642: my ($item_cnt,$seed,$df,$nonc) = @_;
643: my @oldseed=&random_get_seed();
644: my @retArray;
645: &random_set_seed_from_phrase($seed);
646: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
647: &random_set_seed(@oldseed);
648: return @retArray;
1.26 ng 649: }
650:
651: sub random_f {
1.73 albertel 652: my ($item_cnt,$seed,$dfn,$dfd) = @_;
653: my @oldseed=&random_get_seed();
654: my @retArray;
655: &random_set_seed_from_phrase($seed);
656: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
657: &random_set_seed(@oldseed);
658: return @retArray;
1.26 ng 659: }
660:
661: sub random_noncentral_f {
1.73 albertel 662: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
663: my @oldseed=&random_get_seed();
664: my @retArray;
665: &random_set_seed_from_phrase($seed);
666: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
667: &random_set_seed(@oldseed);
668: return @retArray;
1.26 ng 669: }
670:
671: sub random_multivariate_normal {
1.73 albertel 672: my ($item_cnt,$seed,$mean,$covar) = @_;
673: my @oldseed=&random_get_seed();
674: &random_set_seed_from_phrase($seed);
1.87 albertel 675: my @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
1.73 albertel 676: &random_set_seed(@oldseed);
677: return @retArray;
1.26 ng 678: }
679:
680: sub random_multinomial {
1.73 albertel 681: my ($item_cnt,$seed,@p) = @_;
682: my @oldseed=&random_get_seed();
683: my @retArray;
684: &random_set_seed_from_phrase($seed);
1.87 albertel 685: my @retArray=&math_random_multinomial($item_cnt,@p);
1.73 albertel 686: &random_set_seed(@oldseed);
687: return @retArray;
1.26 ng 688: }
689:
690: sub random_permutation {
1.73 albertel 691: my ($seed,@inArray) = @_;
692: my @oldseed=&random_get_seed();
693: my @retArray;
694: &random_set_seed_from_phrase($seed);
695: @retArray=&math_random_permutation(@inArray);
696: &random_set_seed(@oldseed);
697: return @retArray;
1.26 ng 698: }
699:
700: sub random_uniform {
1.73 albertel 701: my ($item_cnt,$seed,$low,$high) = @_;
702: my @oldseed=&random_get_seed();
703: my @retArray;
704: &random_set_seed_from_phrase($seed);
705: @retArray=&math_random_uniform($item_cnt,$low,$high);
706: &random_set_seed(@oldseed);
707: return @retArray;
1.26 ng 708: }
709:
710: sub random_uniform_integer {
1.73 albertel 711: my ($item_cnt,$seed,$low,$high) = @_;
712: my @oldseed=&random_get_seed();
713: my @retArray;
714: &random_set_seed_from_phrase($seed);
715: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
716: &random_set_seed(@oldseed);
717: return @retArray;
1.26 ng 718: }
719:
720: sub random_binomial {
1.73 albertel 721: my ($item_cnt,$seed,$nt,$p) = @_;
722: my @oldseed=&random_get_seed();
723: my @retArray;
724: &random_set_seed_from_phrase($seed);
725: @retArray=&math_random_binomial($item_cnt,$nt,$p);
726: &random_set_seed(@oldseed);
727: return @retArray;
1.26 ng 728: }
729:
730: sub random_negative_binomial {
1.73 albertel 731: my ($item_cnt,$seed,$ne,$p) = @_;
732: my @oldseed=&random_get_seed();
733: my @retArray;
734: &random_set_seed_from_phrase($seed);
735: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
736: &random_set_seed(@oldseed);
737: return @retArray;
1.26 ng 738: }
739:
1.103 albertel 740: sub abs { CORE::abs(shift) }
741: sub sin { CORE::sin(shift) }
742: sub cos { CORE::cos(shift) }
743: sub exp { CORE::exp(shift) }
744: sub int { CORE::int(shift) }
745: sub log { CORE::log(shift) }
746: sub atan2 { CORE::atan2($_[0],$_[1]) }
747: sub sqrt { CORE::sqrt(shift) }
1.23 ng 748:
1.59 albertel 749: sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
1.21 harris41 750: #sub atan { atan2($_[0], 1); }
751: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
752: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
1.22 ng 753:
1.59 albertel 754: sub log10 { CORE::log($_[0])/CORE::log(10); }
1.22 ng 755:
1.20 harris41 756: sub factorial {
1.59 albertel 757: my $input = CORE::int(shift);
1.20 harris41 758: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
759: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
760: return 1 if $input == 0;
761: my $result = 1;
762: for (my $i=2; $i<=$input; $i++) { $result *= $i }
763: return $result;
764: }
765:
766: sub sgn {
767: return -1 if $_[0] < 0;
768: return 0 if $_[0] == 0;
769: return 1 if $_[0] > 0;
770: }
771:
772: sub min {
773: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
774: return shift @sorted;
775: }
776:
777: sub max {
778: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
779: return pop @sorted;
780: }
1.1 harris41 781:
1.20 harris41 782: sub roundto {
783: my ($input,$n) = @_;
784: return sprintf('%.'.$n.'f',$input);
785: }
786:
787: sub to_string {
788: my ($input,$n) = @_;
1.26 ng 789: return sprintf($input) if $n eq "";
790: $n = '.'.$n if $n !~ /^\./;
1.20 harris41 791: return sprintf('%'.$n,$input) if $n ne "";
792: }
793:
794: sub sub_string {
795: my ($str,$start,$len) = @_;
796: return substr($str,$start-1,$len);
797: }
1.1 harris41 798:
799: sub pow {return $_[0] ** $_[1]; }
1.59 albertel 800: sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
801: sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
1.27 ng 802: #sub floor {return int($_[0]); }
1.1 harris41 803:
1.2 albertel 804: sub format {
1.73 albertel 805: my ($value,$fmt)=@_;
1.81 albertel 806: my ($dollarmode,$commamode,$alwaysperiod,$options);
807: if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; }
808: #if ($options =~ /\$/) { $dollamode=1; }
809: #if ($options =~ /,/) { $commamode=1; }
1.82 albertel 810: if ($options =~ /\./) { $alwaysperiod=1; }
1.99 ng 811: my $result;
1.97 albertel 812: if ($fmt=~/s$/i) {
813: $result=&format_significant_figures($value,$fmt);
814: } else {
815: $fmt=~s/e/E/g;
1.99 ng 816: $result=sprintf('%.'.$fmt,$value);
1.97 albertel 817: if ($alwaysperiod && $fmt eq '0f') { $result .='.'; }
818: $result=~s/(E[+-]*)0/$1/;
819: }
1.81 albertel 820: #if ($dollarmode) {$result=&dollarformat($result);}
821: #if ($commamode) {$result=&commaformat($result);}
1.73 albertel 822: return $result;
1.46 albertel 823: }
824:
1.75 albertel 825: sub chemparse {
826: my ($reaction) = @_;
1.96 albertel 827: my @tokens = split(/(\s\+|\->|<=>|<\-|\.)/,$reaction);
1.75 albertel 828: my $formula = '';
829: foreach my $token (@tokens) {
830: if ($token eq '->' ) {
831: $formula .= '<m>\ensuremath{\rightarrow}</m> ';
832: next;
833: }
1.96 albertel 834: if ($token eq '<-' ) {
835: $formula .= '<m>\ensuremath{\leftarrow}</m> ';
836: next;
837: }
1.75 albertel 838: if ($token eq '<=>') {
839: if ($external::target eq 'web' &&
840: &EXT('request.browser.unicode')) {
1.76 albertel 841: $formula .= '⇌ ';
1.75 albertel 842: } else {
843: $formula .= &web('<=> ','<m>\ensuremath{\rightleftharpoons}</m> ',
1.95 albertel 844: '<=> ');
1.75 albertel 845: }
846: next;
847: }
1.96 albertel 848: if ($token eq '.') {
849: $formula =~ s/(\ \;| )$//;
850: $formula .= '·';
851: next;
852: }
853: $token =~ /^\s*([\d|\/]*(?:&frac\d\d)?)(.*)/;
1.90 albertel 854: $formula .= $1 if ($1 ne '1'); # stoichiometric coefficient
1.75 albertel 855:
856: my $molecule = $2;
857: # subscripts
1.78 albertel 858: $molecule =~ s|(?<=[a-zA-Z\)\]\s])(\d+)|<sub>$1</sub>|g;
1.75 albertel 859: # superscripts
860: $molecule =~ s|\^(\d*[+\-]*)|<sup>$1</sup>|g;
861: # strip whitespace
862: $molecule =~ s/\s*//g;
863: # forced space
864: $molecule =~ s/_/ /g;
1.96 albertel 865: $molecule =~ s/-/−/g;
1.75 albertel 866: $formula .= $molecule.' ';
867: }
868: # get rid of trailing space
1.87 albertel 869: $formula =~ s/(\ \;| )$//;
1.75 albertel 870: return &xmlparse($formula);
871: }
872:
1.46 albertel 873: sub prettyprint {
1.73 albertel 874: my ($value,$fmt,$target)=@_;
875: my $result;
876: if (!$target) { $target = $external::target; }
1.75 albertel 877: if ($fmt =~ /chem/i) { return(&chemparse($value)); }
1.81 albertel 878: my ($dollarmode,$commamode,$alwaysperiod,$options);
879: if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; }
1.86 albertel 880: if ($options =~ /\$/) { $dollarmode=1; }
1.81 albertel 881: if ($options =~ /,/) { $commamode=1; }
882: if ($options =~ /\./) { $alwaysperiod=1; }
1.97 albertel 883: if ($fmt=~/s$/i) {
884: $value=&format_significant_figures($value,$fmt);
885: } elsif ($fmt) {
886: $value=sprintf('%.'.$fmt,$value);
887: }
1.81 albertel 888: if ($alwaysperiod && $fmt eq '0f') {
889: if ($target eq 'tex') {
890: $value .='\\ensuremath{.}';
891: } else {
892: $value .='.';
893: }
894: }
1.73 albertel 895: if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/i ) {
896: my $frac=$1;
897: if ($dollarmode) { $frac=&dollarformat($frac); }
1.80 albertel 898: if ($commamode) { $frac=&commaformat($frac); }
1.73 albertel 899: my $exponent=$2;
900: $exponent=~s/^\+0*//;
901: $exponent=~s/^-0*/-/;
902: $exponent=~s/^-0*/-/;
903: if ($exponent eq '-') { undef($exponent); }
904: if ($exponent) {
905: if ($target eq 'web') {
906: $result=$frac.'×10<sup>'.$exponent.'</sup>';
907: } elsif ($target eq 'tex') {
908: $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
909: } else {
910: $result=$value;
911: }
912: } else {
913: $result=$frac;
914: }
915: } else {
1.48 albertel 916: $result=$value;
1.86 albertel 917: if ($dollarmode) { $result=&dollarformat($result,$target); }
918: elsif ($commamode) { $result=&commaformat($result,$target); }
1.46 albertel 919: }
1.73 albertel 920: return $result;
1.48 albertel 921: }
922:
1.80 albertel 923: sub commaformat {
1.73 albertel 924: my ($number,$target) = @_;
925: if ($number =~ /\./) {
1.102 albertel 926: while ($number =~ /([^0-9]*)([0-9]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
927: $number = $1.$2.','.$3.$4;
1.73 albertel 928: }
929: } else {
1.102 albertel 930: while ($number =~ /^([^0-9]*)([0-9]+)([^,][^,][^,])([,0-9]*)$/) {
931: $number = $1.$2.','.$3.$4;
1.73 albertel 932: }
933: }
1.80 albertel 934: return $number;
935: }
936:
937: sub dollarformat {
938: my ($number,$target) = @_;
939: if (!$target) { $target = $external::target; }
940: $number=&commaformat($number,$target);
1.73 albertel 941: if ($target eq 'tex') {
942: $number='\$'.$number; #' stupid emacs
943: } else {
944: $number='$'.$number; #' stupid emacs
945: }
946: return $number;
1.2 albertel 947: }
1.5 albertel 948:
1.97 albertel 949: # format of form ns or nS where n is an integer
950: sub format_significant_figures {
951: my ($number,$format) = @_;
952: return '0' if ($number == 0);
953: # extract number of significant figures needed
954: my ($sig) = ($format =~ /(\d+)s/i);
955: # arbitrary choice - suggestions ?? or throw error message?
956: $sig = 3 if ($sig eq '');
957: # save the minus sign
958: my $sign = ($number < 0) ? '-' : '';
959: $number = abs($number);
960: # needed to correct for a number greater than 1 (or
961: my $power = ($number < 1) ? 0 : 1;
962: # could round up. Take the integer part of log10.
963: my $x10 = int(log($number)/log(10));
964: # find number with values left of decimal pt = # of sign figs.
965: my $xsig = $number*10**($sig-$x10-$power);
966: # get just digits left of decimal pt - also rounds off correctly
967: my $xint = sprintf('%.0f',$xsig);
968: # save any trailing zero's
969: my ($zeros) = ($xint =~ /(0+)$/);
970: # return number to original magnitude
971: my $numSig = $xint*10**($x10-$sig+$power);
972: # insert trailing zero's if have decimal point
973: $numSig =~ s/^(\d+)\.(\d+)(\e?(.*)?)$/$1\.$2$zeros$3/;
1.98 albertel 974: # put a decimal pt for number ending with 0 and length = # of sig fig
975: $numSig.='.' if (length($numSig) == $sig && $numSig =~ /0$/);
976: if (length($numSig) < $sig) {
977: $numSig.='.'.substr($zeros,0,($sig-length($numSig)));
978: }
1.97 albertel 979: # return number with sign
980: return $sign.$numSig;
981:
982: }
983:
1.5 albertel 984: sub map {
1.27 ng 985: my ($phrase,$dest,$source)=@_;
1.51 albertel 986: my @oldseed=&random_get_seed();
1.27 ng 987: my @seed = &random_seed_from_phrase($phrase);
988: &random_set_seed(@seed);
989: my $destct = scalar(@$dest);
1.28 ng 990: if (!$source) {
991: my @output;
992: my @idx = &math_random_permuted_index($destct);
993: my $ctr = 0;
994: while ($ctr < $destct) {
995: $output[$ctr] = $$dest[$idx[$ctr]];
1.27 ng 996: $ctr++;
1.28 ng 997: }
1.51 albertel 998: &random_set_seed(@oldseed);
1.28 ng 999: return @output;
1.27 ng 1000: } else {
1.28 ng 1001: my $num = scalar(@$source);
1002: my @idx = &math_random_permuted_index($num);
1003: my $ctr = 0;
1004: my $tot = $num;
1005: $tot = $destct if $destct < $num;
1006: if (ref($$dest[0])) {
1007: while ($ctr < $tot) {
1008: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
1009: $ctr++;
1010: }
1011: } else {
1012: while ($ctr < $tot) {
1013: $$dest[$ctr] = $$source[$idx[$ctr]];
1014: $ctr++;
1015: }
1016: }
1.27 ng 1017: }
1.56 albertel 1018: &random_set_seed(@oldseed);
1.51 albertel 1019: return '';
1.27 ng 1020: }
1021:
1022: sub rmap {
1023: my ($phrase,$dest,$source)=@_;
1.51 albertel 1024: my @oldseed=&random_get_seed();
1.27 ng 1025: my @seed = &random_seed_from_phrase($phrase);
1026: &random_set_seed(@seed);
1027: my $destct = scalar(@$dest);
1.28 ng 1028: if (!$source) {
1029: my @idx = &math_random_permuted_index($destct);
1030: my $ctr = 0;
1031: my @r_idx;
1032: while ($ctr < $destct) {
1033: $r_idx[$idx[$ctr]] = $ctr;
1034: $ctr++;
1035: }
1036: my @output;
1037: $ctr = 0;
1038: while ($ctr < $destct) {
1039: $output[$ctr] = $$dest[$r_idx[$ctr]];
1.27 ng 1040: $ctr++;
1.28 ng 1041: }
1.51 albertel 1042: &random_set_seed(@oldseed);
1.28 ng 1043: return @output;
1.27 ng 1044: } else {
1.28 ng 1045: my $num = scalar(@$source);
1046: my @idx = &math_random_permuted_index($num);
1047: my $ctr = 0;
1048: my $tot = $num;
1049: $tot = $destct if $destct < $num;
1050: my @r_idx;
1.27 ng 1051: while ($ctr < $tot) {
1.28 ng 1052: $r_idx[$idx[$ctr]] = $ctr;
1.27 ng 1053: $ctr++;
1.28 ng 1054: }
1055: $ctr = 0;
1056: if (ref($$dest[0])) {
1057: while ($ctr < $tot) {
1058: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
1059: $ctr++;
1060: }
1061: } else {
1062: while ($ctr < $tot) {
1063: $$dest[$ctr] = $$source[$r_idx[$ctr]];
1064: $ctr++;
1065: }
1066: }
1.6 albertel 1067: }
1.51 albertel 1068: &random_set_seed(@oldseed);
1069: return '';
1.5 albertel 1070: }
1.22 ng 1071:
1.23 ng 1072: sub capa_id { return }
1073:
1074: sub problem { return }
1075:
1.22 ng 1076: sub name{
1.73 albertel 1077: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
1078: $fullname = "" if $fullname eq ", ";
1079: $fullname =~ s/\%2d/-/g;
1080: return $fullname;
1.22 ng 1081: }
1082:
1083: sub student_number {
1.73 albertel 1084: my $id = &EXT('environment.id');
1085: $id = '' if $id eq "";
1086: return $id;
1.22 ng 1087: }
1088:
1089: sub class {
1.73 albertel 1090: my $course = &EXT('course.description');
1091: $course = '' if $course eq "";
1092: return $course;
1.22 ng 1093: }
1094:
1.112 www 1095: sub firstname {
1096: my $firstname = &EXT('environment.firstname');
1097: $firstname = '' if $firstname eq "";
1098: return $firstname;
1099: }
1100:
1101: sub lastname {
1102: my $lastname = &EXT('environment.lastname');
1103: $lastname = '' if $lastname eq "";
1104: return $lastname;
1105: }
1106:
1.22 ng 1107: sub sec {
1.73 albertel 1108: my $sec = &EXT('request.course.sec');
1109: $sec = '' if $sec eq "";
1110: return $sec;
1.22 ng 1111: }
1112:
1.136 www 1113: sub submission {
1114: my ($partid,$responseid,$subnumber)=@_;
1115: my $sub='';
1116: if ($subnumber) { $sub=$subnumber.':'; }
1117: return &EXT('user.resource.'.$sub.'resource.'.$partid.'.'.$responseid.'.submission');
1118: }
1119:
1120: sub currentpart {
1121: return $external::part;
1122: }
1123:
1.135 www 1124: sub eval_time {
1125: my ($timestamp)=@_;
1126: unless ($timestamp) { return ''; }
1127: return &locallocaltime($timestamp);
1128: }
1129:
1.23 ng 1130: sub open_date {
1.134 www 1131: my ($partid)=@_;
1132: unless ($partid) { $partid=0; }
1.135 www 1133: return &eval_time(&EXT('resource.'.$partid.'.opendate'));
1.23 ng 1134: }
1135:
1.134 www 1136: sub due_date {
1137: my ($partid)=@_;
1138: unless ($partid) { $partid=0; }
1.135 www 1139: return &eval_time(&EXT('resource.'.$partid.'.duedate'));
1.23 ng 1140: }
1141:
1142: sub answer_date {
1.134 www 1143: my ($partid)=@_;
1144: unless ($partid) { $partid=0; }
1.135 www 1145: return &eval_time(&EXT('resource.'.$partid.'.answerdate'));
1.24 ng 1146: }
1147:
1.136 www 1148: sub open_date_epoch {
1149: my ($partid)=@_;
1150: unless ($partid) { $partid=0; }
1151: return &EXT('resource.'.$partid.'.opendate');
1152: }
1153:
1154: sub due_date_epoch {
1155: my ($partid)=@_;
1156: unless ($partid) { $partid=0; }
1157: return &EXT('resource.'.$partid.'.duedate');
1158: }
1159:
1160: sub answer_date_epoch {
1161: my ($partid)=@_;
1162: unless ($partid) { $partid=0; }
1163: return &EXT('resource.'.$partid.'.answerdate');
1164: }
1165:
1.24 ng 1166: sub array_moments {
1.73 albertel 1167: my @input=@_;
1168: my (@output,$N);
1169: $N=scalar (@input);
1170: $output[0]=$N;
1171: if ($N <= 1) {
1172: $output[1]=$input[0];
1173: $output[1]="Input array not defined" if ($N == 0);
1174: $output[2]="variance undefined for N<=1";
1175: $output[3]="skewness undefined for N<=1";
1176: $output[4]="kurtosis undefined for N<=1";
1177: return @output;
1178: }
1179: my $sum=0;
1180: foreach my $line (@input) {
1181: $sum+=$line;
1182: }
1183: $output[1] = $sum/$N;
1184: my ($x,$sdev,$var,$skew,$kurt) = 0;
1185: foreach my $line (@input) {
1186: $x=$line-$output[1];
1187: $var+=$x**2;
1188: $skew+=$x**3;
1189: $kurt+=$x**4;
1190: }
1191: $output[2]=$var/($N-1);
1192: $sdev=CORE::sqrt($output[2]);
1193: if ($sdev == 0) {
1194: $output[3]="inf-variance=0";
1195: $output[4]="inf-variance=0";
1196: return @output;
1197: }
1198: $output[3]=$skew/($sdev**3*$N);
1199: $output[4]=$kurt/($sdev**4*$N)-3;
1.24 ng 1200: return @output;
1201: }
1.5 albertel 1202:
1203: sub choose {
1.73 albertel 1204: my $num = $_[0];
1205: return $_[$num];
1.5 albertel 1206: }
1.23 ng 1207:
1.101 albertel 1208: #&sum1(1,$x,sub { &sum1($_[0],2*$_[0], sub { fact($_[0])**2 })});
1209: #sub sum1 {
1210: # my ($start,$end,$sub)=@_;
1211: # my $sum=0;
1212: # for (my $i=$start;$i<=$end;$i++) {
1213: # $sum+=&$sub($i);
1214: # }
1215: # return $sum
1216: #}
1217:
1218: #&sum2('a',1,$x,'&sum2(\'b\',$a,2*$a, \'&factorial($b)**2\')');
1219: #sub sum2 {
1220: # my ($varname,$start,$end,$line)=@_;
1221: # my $sum=0;
1222: # for (my $i=$start;$i<=$end;$i++) {
1223: # my $func=sub {
1224: # eval("\$".$varname."=$i");
1225: # eval($line);
1226: # };
1227: # $sum+=&$func($i);
1228: # }
1229: # return $sum
1230: #}
1231:
1.49 albertel 1232: # expiremental idea
1233: sub proper_path {
1.73 albertel 1234: my ($path)=@_;
1235: if ( $external::target eq "tex" ) {
1236: return '/home/httpd/html'.$path;
1237: } else {
1238: return $path;
1239: }
1.49 albertel 1240: }
1.23 ng 1241:
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