Annotation of loncom/homework/default_homework.lcpm, revision 1.156
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: #
1.156 ! www 4: # $Id: default_homework.lcpm,v 1.155 2011/05/22 03:04:51 www 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 $unit;
1.156 ! www 312: my ($allowalgebra)=(¶meter_setting('allowalgebra',¤tpart())=~/^(yes|1|on)$/i);
1.140 raeburn 313: if ($type eq 'float' || $type eq '') {
1.73 albertel 314: #for numerical problems split off the unit
1.156 ! www 315: my $part1;
! 316: my $part2;
! 317: if ($allowalgebra) {
! 318: ($part1,$part2)=($responses->[0][-1]=~ /^(.*[^\s])\s+([^\s]+)$/);
! 319: } else {
! 320: ($part1,$part2)=($responses->[0][-1]=~ /^([\d\.\,\s\$]*(?:(?:[xX\*]10[\^\*]*|[eE]*)[\+\-]*\d*)*(?:^|\S)\d+)([\$\s\w\^\*\/\(\)\+\-]*[^\d\.\s\,][\$\s\w\^\*\/\(\)\+\-]*)$/);
! 321: }
! 322: if ($part1 && $part2) {
! 323: $responses->[0][-1]=$part1;
! 324: $unit=&capa_formula_fix($part2);
1.128 www 325: &LONCAPA_INTERNAL_DEBUG("Found unit :$unit:");
1.73 albertel 326: }
327: }
1.119 albertel 328: &LONCAPA_INTERNAL_DEBUG("Final final response :$responses->[0][-1]:$unit:");
1.73 albertel 329: $unit=~s/\s//;
1.149 raeburn 330: my $error;
1.133 www 331: foreach my $response (@$responses) {
332: foreach my $element (@$response) {
1.138 raeburn 333: if (($type eq 'float') || (($type eq '') && ($unit ne ''))) {
334: $element =~ s/\s//g;
335: }
1.133 www 336: my $appendunit=$unit;
1.147 www 337: # Deal with percentages
338: # unit is unit entered by student, answerunit is unit by author
339: # Deprecated: divide answer by 100 if student entered percent,
340: # but author did not. Too much confusion
1.146 www 341: # if (($unit=~/\%/) && ($answerunit ne '%')) {
342: # $element=$element/100;
343: # $appendunit=~s/\%//;
344: # }
1.147 www 345: # Author entered percent, student did not
346: if (($unit!~/\%/) && ($answerunit=~/\%/)) {
347: $element=$element*100;
348: $appendunit='%'.$appendunit;
349: }
350: # Zero does not need a dimension
1.133 www 351: if (($element==0) && ($unit!~/\w/) && ($answerunit=~/\w/)) {
352: $appendunit=$answerunit;
353: }
1.156 ! www 354: # Do the math for the student if allowed
! 355: if ($allowalgebra) {
! 356: $element=&cas('maxima',$element);
! 357: }
1.148 raeburn 358: if ($appendunit ne '') {
359: $element .= " $appendunit";
360: }
1.133 www 361: &LONCAPA_INTERNAL_DEBUG("Made response element :$element:");
362: }
1.119 albertel 363: }
364:
1.117 albertel 365: foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
366: if (!defined($thisanswer)) {
367: return ('ERROR','answer was undefined');
368: }
369: }
370:
1.150 raeburn 371: my $allow_control_char = 0;
372: my $control_chars_removed = 0;
1.151 raeburn 373: my $ansstring;
1.150 raeburn 374: if ($type eq 'cs' || $type eq 'ci') {
375: if (ref($LONCAPA::CAPAresponse_answer->{'answers'}) eq 'ARRAY') {
376: foreach my $strans (@{$LONCAPA::CAPAresponse_answer->{'answers'}}) {
1.151 raeburn 377: if (ref($strans) eq 'ARRAY') {
1.152 raeburn 378: $ansstring = join("\0",@{$strans});
1.151 raeburn 379: foreach my $item (@{$strans}) {
380: if ($item =~ /[\000-\037]/) {
381: $allow_control_char = 1;
382: }
383: }
384: }
385: }
386: }
387: }
1.117 albertel 388:
1.121 albertel 389: # &LONCAPA_INTERNAL_DEBUG(&LONCAPA_INTERNAL_Dumper($responses));
1.117 albertel 390: my %memoized;
391: if ($LONCAPA::CAPAresponse_answer->{'type'} eq 'ordered') {
1.119 albertel 392: for (my $i=0; $i<scalar(@$responses);$i++) {
1.117 albertel 393: my $answer = $LONCAPA::CAPAresponse_answer->{'answers'}[$i];
1.119 albertel 394: my $response = $responses->[$i];
1.117 albertel 395: my $key = "$answer\0$response";
1.119 albertel 396: my (@awards,@msgs);
1.150 raeburn 397: for (my $j=0; $j<scalar(@$response); $j++) {
398: if ($type eq 'cs' || $type eq 'ci') {
399: unless ($allow_control_char) {
400: if ($response->[$j] =~ /[\000-\037]/) {
401: $response->[$j] =~ s/[\000-\037]//g;
402: $control_chars_removed = 1;
403: }
404: }
405: }
1.119 albertel 406: my ($award,$msg) = &caparesponse_check($answer->[$j],
407: $response->[$j]);
1.149 raeburn 408: if ($type eq 'cs' || $type eq 'ci') {
409: $error = &verify_stringresponse($type,$award,$response->[$j],
410: $answer->[$j]);
411: }
1.119 albertel 412: push(@awards,$award);
413: push(@msgs, $msg);
414: }
415: my ($award,$msg) =
416: &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
417: $memoized{$key} = [$award,$msg];
1.117 albertel 418: }
419: } else {
1.119 albertel 420: #FIXME broken with unorder responses where one is a <value>
421: # and the other is a <vector> (need to delay parse til
422: # inside the loop?)
423: foreach my $response (@$responses) {
424: my $response_size = scalar(@{$response});
1.117 albertel 425: foreach my $answer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
426: my $key = "$answer\0$response";
1.119 albertel 427: my $answer_size = scalar(@{$answer});
428: my ($award,$msg);
429: if ($answer_size > $response_size) {
430: $award = 'MISSING_ANSWER';
431: } elsif ($answer_size < $response_size) {
432: $award = 'EXTRA_ANSWER';
433: } else {
434: my (@awards,@msgs);
435: for (my $j=0; $j<scalar(@$response); $j++) {
1.150 raeburn 436: if ($type eq 'cs' || $type eq 'ci') {
437: unless ($allow_control_char) {
438: if ($response->[$j] =~ /[\000-\037]/) {
439: $response->[$j] =~ s/[\000-\037]//g;
440: $control_chars_removed = 1;
441: }
442: }
443: }
1.119 albertel 444: my ($award,$msg) = &caparesponse_check($answer->[$j],
445: $response->[$j]);
1.149 raeburn 446: if ($type eq 'cs' || $type eq 'ci') {
447: $error = &verify_stringresponse($type,$award,$response->[$j],
448: $answer->[$j]);
449: }
1.119 albertel 450: push(@awards,$award);
451: push(@msgs, $msg);
452: }
453: ($award,$msg) =
454: &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
455: }
456: $memoized{$key} = [$award,$msg];
1.117 albertel 457: }
458: }
459: }
460:
1.116 albertel 461: my ($final_award,$final_msg);
1.119 albertel 462: &init_permutation(scalar(@$responses),
1.116 albertel 463: $LONCAPA::CAPAresponse_answer->{'type'});
1.117 albertel 464:
1.118 albertel 465: # possible FIXMEs
466: # - significant time is spent calling non-safe space routine
467: # from safe space
468: # - early outs could be possible with classifying awards is to stratas
469: # and stopping as so as hitting the top strata
470: # - some early outs also might be possible with check ing the
471: # memoized hash of results (is correct even possible? etc.)
472:
1.117 albertel 473: my (@final_awards,@final_msg);
1.116 albertel 474: while( &get_permutations_left() ) {
1.117 albertel 475: my $order = &get_next_permutation();
1.116 albertel 476: my (@awards, @msgs, $i);
477: foreach my $thisanswer (@{ $LONCAPA::CAPAresponse_answer->{'answers'} }) {
1.119 albertel 478: my $key = "$thisanswer\0".$responses->[$order->[$i]];
1.117 albertel 479: push(@awards,$memoized{$key}[0]);
480: push(@msgs,$memoized{$key}[1]);
1.116 albertel 481: $i++;
1.119 albertel 482:
1.116 albertel 483: }
1.119 albertel 484: &LONCAPA_INTERNAL_DEBUG(" all awards ".join(':',@awards));
485:
1.116 albertel 486: my ($possible_award,$possible_msg) =
487: &LONCAPA_INTERNAL_FINALIZEAWARDS(\@awards,\@msgs);
1.119 albertel 488: &LONCAPA_INTERNAL_DEBUG(" pos awards ".$possible_award);
1.117 albertel 489: push(@final_awards,$possible_award);
490: push(@final_msg,$possible_msg);
1.73 albertel 491: }
1.117 albertel 492:
1.119 albertel 493: &LONCAPA_INTERNAL_DEBUG(" all final_awards ".join(':',@final_awards));
1.117 albertel 494: my ($final_award,$final_msg) =
495: &LONCAPA_INTERNAL_FINALIZEAWARDS(\@final_awards,\@final_msg,undef,1);
1.151 raeburn 496: return ($final_award,$final_msg,$error,$control_chars_removed,$ansstring);
1.149 raeburn 497: }
498:
499: sub verify_stringresponse {
500: my ($type,$award,$resp,$ans) = @_;
501: return if ($award eq 'EXACT_ANS');
502: my $error;
503: if ($resp =~ /^\s|\s$/) {
504: $resp =~ s{^\s+|\s+$}{}g;
505: }
506: if ($ans =~ /^\s|\s$/) {
507: $ans =~ s{^\s+|\s+$}{}g;
508: }
509: if ($type eq 'ci') {
510: $resp = lc($resp);
511: $ans = lc($ans);
512: }
513: if ($resp eq $ans) {
514: if ($award eq 'INCORRECT') {
515: $error = 'MISGRADED';
516: }
517: }
518: return $error;
1.7 albertel 519: }
520:
1.124 www 521: sub cas {
1.137 www 522: my ($system,$input,$library)=@_;
1.124 www 523: my $output;
1.145 www 524: my $dump;
1.124 www 525: if ($system eq 'maxima') {
1.137 www 526: $output=&maxima_eval($input,$library);
1.144 www 527: } elsif ($system eq 'R') {
1.145 www 528: ($output,$dump)=&r_eval($input,$library,0);
1.137 www 529: } else {
530: $output='Error: unrecognized CAS';
1.124 www 531: }
532: return $output;
533: }
534:
1.145 www 535: sub cas_hashref {
536: my ($system,$input,$library)=@_;
537: if ($system eq 'maxima') {
538: return 'Error: unsupported CAS';
539: } elsif ($system eq 'R') {
540: return &r_eval($input,$library,1);
541: } else {
542: return 'Error: unrecognized CAS';
543: }
544: }
545:
546: #
547: # cas_hashref_entry takes a list of indices and gets the entry in a hash generated by Rreturn.
548: # Call: cas_hashref_entry(Rvalue, index1, index2, ...) where Rvalue is a hash returned by Rreturn.
549: # Rentry will return the first scalar value it encounters (ignoring excess indices).
550: # If an invalid key is given, it returns undef.
551: #
552: sub cas_hashref_entry {
553: return &Rentry(@_);
554: }
555:
556: #
557: # cas_hashref_array takes a list of indices and gets a column array from a hash generated by Rreturn.
558: # Call: cas_hashref_array(Rvalue, index1, index2, ...) where Rvalue is a hash returned by Rreturn.
559: # If an invalid key is given, it returns undef.
560: #
561: sub cas_hashref_array {
562: return &Rarray(@_);
563: }
564:
1.4 albertel 565: sub tex {
1.73 albertel 566: if ( $external::target eq "tex" ) {
567: return $_[0];
568: } else {
569: return $_[1];
570: }
1.4 albertel 571: }
572:
1.24 ng 573: sub var_in_tex {
1.73 albertel 574: if ( $external::target eq "tex" ) {
575: return $_[0];
576: } else {
577: return "";
578: }
1.24 ng 579: }
580:
1.4 albertel 581: sub web {
1.73 albertel 582: if ( $external::target eq "tex" ) {
583: return $_[1];
1.26 ng 584: } else {
1.73 albertel 585: if ( $external::target eq "web" || $external::target eq "answer") {
586: return $_[2];
587: } else {
588: return $_[0];
589: }
1.4 albertel 590: }
591: }
592:
1.24 ng 593: sub html {
1.73 albertel 594: if ( $external::target eq "web" ) {
595: return shift;
596: }
1.24 ng 597: }
598:
1.1 harris41 599: sub hinton {
1.73 albertel 600: return 0;
1.1 harris41 601: }
602:
603: sub random {
1.61 albertel 604: my ($start,$end,$step)=@_;
605: if ( ! $hidden::RANDOMINIT ) {
606: if ($external::randomseed == 0) { $external::randomseed=1; }
607: if ($external::randomseed =~/,/) {
1.84 albertel 608: my ($num1,$num2)=split(/,/,$external::randomseed);
609: &random_set_seed(1,abs($num1));
610: } elsif ($external::randomseed =~/:/) {
611: my ($num1,$num2)=split(/:/,$external::randomseed);
1.61 albertel 612: &random_set_seed(abs($num1),abs($num2));
613: } else {
614: &random_set_seed(1,int(abs($external::randomseed)));
615: }
616: &math_random_uniform();
617: $hidden::RANDOMINIT=1;
618: }
619: if (!defined($step)) { $step=1; }
620: my $num=1+int(($end-$start)/$step);
621: my $result=$start + int(&math_random_uniform() * $num)*$step;
622: return $result;
1.1 harris41 623: }
624:
1.26 ng 625: sub random_normal {
1.73 albertel 626: my ($item_cnt,$seed,$av,$std_dev) = @_;
627: my @oldseed=&random_get_seed();
628: my @retArray;
629: &random_set_seed_from_phrase($seed);
630: @retArray=&math_random_normal($item_cnt,$av,$std_dev);
631: &random_set_seed(@oldseed);
632: return @retArray;
1.26 ng 633: }
634:
635: sub random_beta {
1.73 albertel 636: my ($item_cnt,$seed,$aa,$bb) = @_;
637: my @oldseed=&random_get_seed();
638: my @retArray;
639: &random_set_seed_from_phrase($seed);
640: @retArray=&math_random_beta($item_cnt,$aa,$bb);
641: &random_set_seed(@oldseed);
642: return @retArray;
1.26 ng 643: }
644:
645: sub random_gamma {
1.73 albertel 646: my ($item_cnt,$seed,$a,$r) = @_;
647: my @oldseed=&random_get_seed();
648: my @retArray;
649: &random_set_seed_from_phrase($seed);
650: @retArray=&math_random_gamma($item_cnt,$a,$r);
651: &random_set_seed(@oldseed);
652: return @retArray;
1.26 ng 653: }
654:
655: sub random_exponential {
1.73 albertel 656: my ($item_cnt,$seed,$av) = @_;
657: my @oldseed=&random_get_seed();
658: my @retArray;
659: &random_set_seed_from_phrase($seed);
660: @retArray=&math_random_exponential($item_cnt,$av);
661: &random_set_seed(@oldseed);
662: return @retArray;
1.26 ng 663: }
664:
665: sub random_poisson {
1.73 albertel 666: my ($item_cnt,$seed,$mu) = @_;
667: my @oldseed=&random_get_seed();
668: my @retArray;
669: &random_set_seed_from_phrase($seed);
670: @retArray=&math_random_poisson($item_cnt,$mu);
671: &random_set_seed(@oldseed);
672: return @retArray;
1.26 ng 673: }
674:
675: sub random_chi {
1.73 albertel 676: my ($item_cnt,$seed,$df) = @_;
677: my @oldseed=&random_get_seed();
678: my @retArray;
679: &random_set_seed_from_phrase($seed);
680: @retArray=&math_random_chi_square($item_cnt,$df);
681: &random_set_seed(@oldseed);
682: return @retArray;
1.26 ng 683: }
684:
685: sub random_noncentral_chi {
1.73 albertel 686: my ($item_cnt,$seed,$df,$nonc) = @_;
687: my @oldseed=&random_get_seed();
688: my @retArray;
689: &random_set_seed_from_phrase($seed);
690: @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
691: &random_set_seed(@oldseed);
692: return @retArray;
1.26 ng 693: }
694:
695: sub random_f {
1.73 albertel 696: my ($item_cnt,$seed,$dfn,$dfd) = @_;
697: my @oldseed=&random_get_seed();
698: my @retArray;
699: &random_set_seed_from_phrase($seed);
700: @retArray=&math_random_f($item_cnt,$dfn,$dfd);
701: &random_set_seed(@oldseed);
702: return @retArray;
1.26 ng 703: }
704:
705: sub random_noncentral_f {
1.73 albertel 706: my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
707: my @oldseed=&random_get_seed();
708: my @retArray;
709: &random_set_seed_from_phrase($seed);
710: @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
711: &random_set_seed(@oldseed);
712: return @retArray;
1.26 ng 713: }
714:
715: sub random_multivariate_normal {
1.73 albertel 716: my ($item_cnt,$seed,$mean,$covar) = @_;
717: my @oldseed=&random_get_seed();
718: &random_set_seed_from_phrase($seed);
1.87 albertel 719: my @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
1.73 albertel 720: &random_set_seed(@oldseed);
721: return @retArray;
1.26 ng 722: }
723:
724: sub random_multinomial {
1.73 albertel 725: my ($item_cnt,$seed,@p) = @_;
726: my @oldseed=&random_get_seed();
727: my @retArray;
728: &random_set_seed_from_phrase($seed);
1.87 albertel 729: my @retArray=&math_random_multinomial($item_cnt,@p);
1.73 albertel 730: &random_set_seed(@oldseed);
731: return @retArray;
1.26 ng 732: }
733:
734: sub random_permutation {
1.73 albertel 735: my ($seed,@inArray) = @_;
736: my @oldseed=&random_get_seed();
737: my @retArray;
738: &random_set_seed_from_phrase($seed);
739: @retArray=&math_random_permutation(@inArray);
740: &random_set_seed(@oldseed);
741: return @retArray;
1.26 ng 742: }
743:
744: sub random_uniform {
1.73 albertel 745: my ($item_cnt,$seed,$low,$high) = @_;
746: my @oldseed=&random_get_seed();
747: my @retArray;
748: &random_set_seed_from_phrase($seed);
749: @retArray=&math_random_uniform($item_cnt,$low,$high);
750: &random_set_seed(@oldseed);
751: return @retArray;
1.26 ng 752: }
753:
754: sub random_uniform_integer {
1.73 albertel 755: my ($item_cnt,$seed,$low,$high) = @_;
756: my @oldseed=&random_get_seed();
757: my @retArray;
758: &random_set_seed_from_phrase($seed);
759: @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
760: &random_set_seed(@oldseed);
761: return @retArray;
1.26 ng 762: }
763:
764: sub random_binomial {
1.73 albertel 765: my ($item_cnt,$seed,$nt,$p) = @_;
766: my @oldseed=&random_get_seed();
767: my @retArray;
768: &random_set_seed_from_phrase($seed);
769: @retArray=&math_random_binomial($item_cnt,$nt,$p);
770: &random_set_seed(@oldseed);
771: return @retArray;
1.26 ng 772: }
773:
774: sub random_negative_binomial {
1.73 albertel 775: my ($item_cnt,$seed,$ne,$p) = @_;
776: my @oldseed=&random_get_seed();
777: my @retArray;
778: &random_set_seed_from_phrase($seed);
779: @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
780: &random_set_seed(@oldseed);
781: return @retArray;
1.26 ng 782: }
783:
1.103 albertel 784: sub abs { CORE::abs(shift) }
785: sub sin { CORE::sin(shift) }
786: sub cos { CORE::cos(shift) }
787: sub exp { CORE::exp(shift) }
788: sub int { CORE::int(shift) }
789: sub log { CORE::log(shift) }
790: sub atan2 { CORE::atan2($_[0],$_[1]) }
791: sub sqrt { CORE::sqrt(shift) }
1.23 ng 792:
1.59 albertel 793: sub tan { CORE::sin($_[0]) / CORE::cos($_[0]) }
1.21 harris41 794: #sub atan { atan2($_[0], 1); }
795: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
796: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
1.22 ng 797:
1.59 albertel 798: sub log10 { CORE::log($_[0])/CORE::log(10); }
1.22 ng 799:
1.20 harris41 800: sub factorial {
1.59 albertel 801: my $input = CORE::int(shift);
1.20 harris41 802: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
803: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
804: return 1 if $input == 0;
805: my $result = 1;
806: for (my $i=2; $i<=$input; $i++) { $result *= $i }
807: return $result;
808: }
809:
810: sub sgn {
811: return -1 if $_[0] < 0;
812: return 0 if $_[0] == 0;
813: return 1 if $_[0] > 0;
814: }
815:
816: sub min {
817: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
818: return shift @sorted;
819: }
820:
821: sub max {
822: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
823: return pop @sorted;
824: }
1.1 harris41 825:
1.20 harris41 826: sub roundto {
827: my ($input,$n) = @_;
828: return sprintf('%.'.$n.'f',$input);
829: }
830:
831: sub to_string {
832: my ($input,$n) = @_;
1.26 ng 833: return sprintf($input) if $n eq "";
834: $n = '.'.$n if $n !~ /^\./;
1.20 harris41 835: return sprintf('%'.$n,$input) if $n ne "";
836: }
837:
838: sub sub_string {
839: my ($str,$start,$len) = @_;
840: return substr($str,$start-1,$len);
841: }
1.1 harris41 842:
843: sub pow {return $_[0] ** $_[1]; }
1.59 albertel 844: sub ceil {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
845: sub floor {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
1.27 ng 846: #sub floor {return int($_[0]); }
1.1 harris41 847:
1.2 albertel 848: sub format {
1.73 albertel 849: my ($value,$fmt)=@_;
1.81 albertel 850: my ($dollarmode,$commamode,$alwaysperiod,$options);
851: if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; }
852: #if ($options =~ /\$/) { $dollamode=1; }
853: #if ($options =~ /,/) { $commamode=1; }
1.82 albertel 854: if ($options =~ /\./) { $alwaysperiod=1; }
1.99 ng 855: my $result;
1.97 albertel 856: if ($fmt=~/s$/i) {
857: $result=&format_significant_figures($value,$fmt);
858: } else {
859: $fmt=~s/e/E/g;
1.99 ng 860: $result=sprintf('%.'.$fmt,$value);
1.97 albertel 861: if ($alwaysperiod && $fmt eq '0f') { $result .='.'; }
862: $result=~s/(E[+-]*)0/$1/;
863: }
1.81 albertel 864: #if ($dollarmode) {$result=&dollarformat($result);}
865: #if ($commamode) {$result=&commaformat($result);}
1.73 albertel 866: return $result;
1.46 albertel 867: }
868:
1.75 albertel 869: sub chemparse {
870: my ($reaction) = @_;
1.96 albertel 871: my @tokens = split(/(\s\+|\->|<=>|<\-|\.)/,$reaction);
1.75 albertel 872: my $formula = '';
873: foreach my $token (@tokens) {
874: if ($token eq '->' ) {
875: $formula .= '<m>\ensuremath{\rightarrow}</m> ';
876: next;
877: }
1.96 albertel 878: if ($token eq '<-' ) {
879: $formula .= '<m>\ensuremath{\leftarrow}</m> ';
880: next;
881: }
1.75 albertel 882: if ($token eq '<=>') {
883: if ($external::target eq 'web' &&
884: &EXT('request.browser.unicode')) {
1.76 albertel 885: $formula .= '⇌ ';
1.75 albertel 886: } else {
887: $formula .= &web('<=> ','<m>\ensuremath{\rightleftharpoons}</m> ',
1.95 albertel 888: '<=> ');
1.75 albertel 889: }
890: next;
891: }
1.96 albertel 892: if ($token eq '.') {
893: $formula =~ s/(\ \;| )$//;
894: $formula .= '·';
895: next;
896: }
897: $token =~ /^\s*([\d|\/]*(?:&frac\d\d)?)(.*)/;
1.90 albertel 898: $formula .= $1 if ($1 ne '1'); # stoichiometric coefficient
1.75 albertel 899:
900: my $molecule = $2;
901: # subscripts
1.78 albertel 902: $molecule =~ s|(?<=[a-zA-Z\)\]\s])(\d+)|<sub>$1</sub>|g;
1.75 albertel 903: # superscripts
904: $molecule =~ s|\^(\d*[+\-]*)|<sup>$1</sup>|g;
905: # strip whitespace
906: $molecule =~ s/\s*//g;
907: # forced space
908: $molecule =~ s/_/ /g;
1.96 albertel 909: $molecule =~ s/-/−/g;
1.75 albertel 910: $formula .= $molecule.' ';
911: }
912: # get rid of trailing space
1.87 albertel 913: $formula =~ s/(\ \;| )$//;
1.75 albertel 914: return &xmlparse($formula);
915: }
916:
1.46 albertel 917: sub prettyprint {
1.73 albertel 918: my ($value,$fmt,$target)=@_;
919: my $result;
920: if (!$target) { $target = $external::target; }
1.75 albertel 921: if ($fmt =~ /chem/i) { return(&chemparse($value)); }
1.81 albertel 922: my ($dollarmode,$commamode,$alwaysperiod,$options);
923: if ($fmt =~ /^([^\d]*)(.*)/) { $options=$1; $fmt=$2; }
1.86 albertel 924: if ($options =~ /\$/) { $dollarmode=1; }
1.81 albertel 925: if ($options =~ /,/) { $commamode=1; }
926: if ($options =~ /\./) { $alwaysperiod=1; }
1.97 albertel 927: if ($fmt=~/s$/i) {
928: $value=&format_significant_figures($value,$fmt);
929: } elsif ($fmt) {
930: $value=sprintf('%.'.$fmt,$value);
931: }
1.81 albertel 932: if ($alwaysperiod && $fmt eq '0f') {
933: if ($target eq 'tex') {
934: $value .='\\ensuremath{.}';
935: } else {
936: $value .='.';
937: }
938: }
1.73 albertel 939: if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/i ) {
940: my $frac=$1;
941: if ($dollarmode) { $frac=&dollarformat($frac); }
1.80 albertel 942: if ($commamode) { $frac=&commaformat($frac); }
1.73 albertel 943: my $exponent=$2;
944: $exponent=~s/^\+0*//;
945: $exponent=~s/^-0*/-/;
946: $exponent=~s/^-0*/-/;
947: if ($exponent eq '-') { undef($exponent); }
948: if ($exponent) {
949: if ($target eq 'web') {
950: $result=$frac.'×10<sup>'.$exponent.'</sup>';
951: } elsif ($target eq 'tex') {
952: $result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
953: } else {
954: $result=$value;
955: }
956: } else {
957: $result=$frac;
958: }
959: } else {
1.48 albertel 960: $result=$value;
1.86 albertel 961: if ($dollarmode) { $result=&dollarformat($result,$target); }
962: elsif ($commamode) { $result=&commaformat($result,$target); }
1.46 albertel 963: }
1.73 albertel 964: return $result;
1.48 albertel 965: }
966:
1.80 albertel 967: sub commaformat {
1.73 albertel 968: my ($number,$target) = @_;
969: if ($number =~ /\./) {
1.102 albertel 970: while ($number =~ /([^0-9]*)([0-9]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*)$/) {
971: $number = $1.$2.','.$3.$4;
1.73 albertel 972: }
973: } else {
1.102 albertel 974: while ($number =~ /^([^0-9]*)([0-9]+)([^,][^,][^,])([,0-9]*)$/) {
975: $number = $1.$2.','.$3.$4;
1.73 albertel 976: }
977: }
1.80 albertel 978: return $number;
979: }
980:
981: sub dollarformat {
982: my ($number,$target) = @_;
983: if (!$target) { $target = $external::target; }
984: $number=&commaformat($number,$target);
1.73 albertel 985: if ($target eq 'tex') {
986: $number='\$'.$number; #' stupid emacs
987: } else {
988: $number='$'.$number; #' stupid emacs
989: }
990: return $number;
1.2 albertel 991: }
1.5 albertel 992:
1.97 albertel 993: # format of form ns or nS where n is an integer
994: sub format_significant_figures {
995: my ($number,$format) = @_;
996: return '0' if ($number == 0);
997: # extract number of significant figures needed
998: my ($sig) = ($format =~ /(\d+)s/i);
999: # arbitrary choice - suggestions ?? or throw error message?
1000: $sig = 3 if ($sig eq '');
1001: # save the minus sign
1002: my $sign = ($number < 0) ? '-' : '';
1003: $number = abs($number);
1004: # needed to correct for a number greater than 1 (or
1005: my $power = ($number < 1) ? 0 : 1;
1006: # could round up. Take the integer part of log10.
1007: my $x10 = int(log($number)/log(10));
1008: # find number with values left of decimal pt = # of sign figs.
1009: my $xsig = $number*10**($sig-$x10-$power);
1010: # get just digits left of decimal pt - also rounds off correctly
1011: my $xint = sprintf('%.0f',$xsig);
1012: # save any trailing zero's
1013: my ($zeros) = ($xint =~ /(0+)$/);
1014: # return number to original magnitude
1015: my $numSig = $xint*10**($x10-$sig+$power);
1016: # insert trailing zero's if have decimal point
1017: $numSig =~ s/^(\d+)\.(\d+)(\e?(.*)?)$/$1\.$2$zeros$3/;
1.98 albertel 1018: # put a decimal pt for number ending with 0 and length = # of sig fig
1019: $numSig.='.' if (length($numSig) == $sig && $numSig =~ /0$/);
1020: if (length($numSig) < $sig) {
1021: $numSig.='.'.substr($zeros,0,($sig-length($numSig)));
1022: }
1.97 albertel 1023: # return number with sign
1024: return $sign.$numSig;
1025:
1026: }
1027:
1.5 albertel 1028: sub map {
1.27 ng 1029: my ($phrase,$dest,$source)=@_;
1.51 albertel 1030: my @oldseed=&random_get_seed();
1.27 ng 1031: my @seed = &random_seed_from_phrase($phrase);
1032: &random_set_seed(@seed);
1033: my $destct = scalar(@$dest);
1.28 ng 1034: if (!$source) {
1035: my @output;
1036: my @idx = &math_random_permuted_index($destct);
1037: my $ctr = 0;
1038: while ($ctr < $destct) {
1039: $output[$ctr] = $$dest[$idx[$ctr]];
1.27 ng 1040: $ctr++;
1.28 ng 1041: }
1.51 albertel 1042: &random_set_seed(@oldseed);
1.28 ng 1043: return @output;
1.27 ng 1044: } else {
1.28 ng 1045: my $num = scalar(@$source);
1046: my @idx = &math_random_permuted_index($num);
1047: my $ctr = 0;
1048: my $tot = $num;
1049: $tot = $destct if $destct < $num;
1050: if (ref($$dest[0])) {
1051: while ($ctr < $tot) {
1052: ${$$dest[$ctr]} = $$source[$idx[$ctr]];
1053: $ctr++;
1054: }
1055: } else {
1056: while ($ctr < $tot) {
1057: $$dest[$ctr] = $$source[$idx[$ctr]];
1058: $ctr++;
1059: }
1060: }
1.27 ng 1061: }
1.56 albertel 1062: &random_set_seed(@oldseed);
1.51 albertel 1063: return '';
1.27 ng 1064: }
1065:
1066: sub rmap {
1067: my ($phrase,$dest,$source)=@_;
1.51 albertel 1068: my @oldseed=&random_get_seed();
1.27 ng 1069: my @seed = &random_seed_from_phrase($phrase);
1070: &random_set_seed(@seed);
1071: my $destct = scalar(@$dest);
1.28 ng 1072: if (!$source) {
1073: my @idx = &math_random_permuted_index($destct);
1074: my $ctr = 0;
1075: my @r_idx;
1076: while ($ctr < $destct) {
1077: $r_idx[$idx[$ctr]] = $ctr;
1078: $ctr++;
1079: }
1080: my @output;
1081: $ctr = 0;
1082: while ($ctr < $destct) {
1083: $output[$ctr] = $$dest[$r_idx[$ctr]];
1.27 ng 1084: $ctr++;
1.28 ng 1085: }
1.51 albertel 1086: &random_set_seed(@oldseed);
1.28 ng 1087: return @output;
1.27 ng 1088: } else {
1.28 ng 1089: my $num = scalar(@$source);
1090: my @idx = &math_random_permuted_index($num);
1091: my $ctr = 0;
1092: my $tot = $num;
1093: $tot = $destct if $destct < $num;
1094: my @r_idx;
1.27 ng 1095: while ($ctr < $tot) {
1.28 ng 1096: $r_idx[$idx[$ctr]] = $ctr;
1.27 ng 1097: $ctr++;
1.28 ng 1098: }
1099: $ctr = 0;
1100: if (ref($$dest[0])) {
1101: while ($ctr < $tot) {
1102: ${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
1103: $ctr++;
1104: }
1105: } else {
1106: while ($ctr < $tot) {
1107: $$dest[$ctr] = $$source[$r_idx[$ctr]];
1108: $ctr++;
1109: }
1110: }
1.6 albertel 1111: }
1.51 albertel 1112: &random_set_seed(@oldseed);
1113: return '';
1.5 albertel 1114: }
1.22 ng 1115:
1.23 ng 1116: sub capa_id { return }
1117:
1118: sub problem { return }
1119:
1.22 ng 1120: sub name{
1.73 albertel 1121: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
1122: $fullname = "" if $fullname eq ", ";
1123: $fullname =~ s/\%2d/-/g;
1124: return $fullname;
1.22 ng 1125: }
1126:
1127: sub student_number {
1.73 albertel 1128: my $id = &EXT('environment.id');
1129: $id = '' if $id eq "";
1130: return $id;
1.22 ng 1131: }
1132:
1133: sub class {
1.73 albertel 1134: my $course = &EXT('course.description');
1135: $course = '' if $course eq "";
1136: return $course;
1.22 ng 1137: }
1138:
1.153 www 1139: sub classid {
1140: my $courseid = &EXT('request.course.id');
1141: $courseid = '' if $courseid eq "";
1142: return $courseid;
1143: }
1144:
1.112 www 1145: sub firstname {
1146: my $firstname = &EXT('environment.firstname');
1147: $firstname = '' if $firstname eq "";
1148: return $firstname;
1149: }
1.153 www 1150:
1151: sub middlename {
1152: my $middlename = &EXT('environment.middlename');
1153: $middlename = '' if $middlename eq "";
1154: return $middlename;
1155: }
1156:
1.112 www 1157:
1158: sub lastname {
1159: my $lastname = &EXT('environment.lastname');
1160: $lastname = '' if $lastname eq "";
1161: return $lastname;
1162: }
1163:
1.22 ng 1164: sub sec {
1.73 albertel 1165: my $sec = &EXT('request.course.sec');
1166: $sec = '' if $sec eq "";
1167: return $sec;
1.22 ng 1168: }
1169:
1.136 www 1170: sub submission {
1171: my ($partid,$responseid,$subnumber)=@_;
1172: my $sub='';
1173: if ($subnumber) { $sub=$subnumber.':'; }
1174: return &EXT('user.resource.'.$sub.'resource.'.$partid.'.'.$responseid.'.submission');
1175: }
1176:
1177: sub currentpart {
1178: return $external::part;
1179: }
1180:
1.135 www 1181: sub eval_time {
1182: my ($timestamp)=@_;
1183: unless ($timestamp) { return ''; }
1184: return &locallocaltime($timestamp);
1185: }
1186:
1.23 ng 1187: sub open_date {
1.134 www 1188: my ($partid)=@_;
1189: unless ($partid) { $partid=0; }
1.135 www 1190: return &eval_time(&EXT('resource.'.$partid.'.opendate'));
1.23 ng 1191: }
1192:
1.134 www 1193: sub due_date {
1194: my ($partid)=@_;
1195: unless ($partid) { $partid=0; }
1.135 www 1196: return &eval_time(&EXT('resource.'.$partid.'.duedate'));
1.23 ng 1197: }
1198:
1199: sub answer_date {
1.134 www 1200: my ($partid)=@_;
1201: unless ($partid) { $partid=0; }
1.135 www 1202: return &eval_time(&EXT('resource.'.$partid.'.answerdate'));
1.24 ng 1203: }
1204:
1.136 www 1205: sub open_date_epoch {
1206: my ($partid)=@_;
1207: unless ($partid) { $partid=0; }
1208: return &EXT('resource.'.$partid.'.opendate');
1209: }
1210:
1211: sub due_date_epoch {
1212: my ($partid)=@_;
1213: unless ($partid) { $partid=0; }
1214: return &EXT('resource.'.$partid.'.duedate');
1215: }
1216:
1217: sub answer_date_epoch {
1218: my ($partid)=@_;
1219: unless ($partid) { $partid=0; }
1220: return &EXT('resource.'.$partid.'.answerdate');
1221: }
1222:
1.154 www 1223: sub parameter_setting {
1224: my ($which,$partid)=@_;
1225: unless ($partid) { $partid=0; }
1226: return &EXT('resource.'.$partid.'.'.$which);
1227: }
1228:
1229: sub stored_data {
1230: my ($which,$partid)=@_;
1231: unless ($partid) { $partid=0; }
1232: return &EXT('user.resource.resource.'.$partid.'.'.$which);
1233: }
1234:
1.155 www 1235: sub wrong_bubbles {
1236: my ($correct,$lower,$upper,$step,@given)=@_;
1237: my @array=();
1238: my %hash=();
1239: foreach my $new (@given) {
1240: $hash{$new}=1;
1241: }
1242: my $num=int(¶meter_setting('numbubbles',¤tpart()));
1243: unless ($num) { $num=8; }
1244: if ($num>1) {
1245: for (my $i=0;$i<=500;$i++) {
1246: my $new=&random($lower,$upper,$step);
1247: if ($hash{$new}) { next; }
1248: if (abs($new-$correct)<$step) { next; }
1249: $hash{$new}=1;
1250: @array=keys(%hash);
1251: if ($#array+2>=$num) { last; }
1252: }
1253: }
1254: return @array;
1255: }
1256:
1.24 ng 1257: sub array_moments {
1.73 albertel 1258: my @input=@_;
1259: my (@output,$N);
1260: $N=scalar (@input);
1261: $output[0]=$N;
1262: if ($N <= 1) {
1263: $output[1]=$input[0];
1264: $output[1]="Input array not defined" if ($N == 0);
1265: $output[2]="variance undefined for N<=1";
1266: $output[3]="skewness undefined for N<=1";
1267: $output[4]="kurtosis undefined for N<=1";
1268: return @output;
1269: }
1270: my $sum=0;
1271: foreach my $line (@input) {
1272: $sum+=$line;
1273: }
1274: $output[1] = $sum/$N;
1275: my ($x,$sdev,$var,$skew,$kurt) = 0;
1276: foreach my $line (@input) {
1277: $x=$line-$output[1];
1278: $var+=$x**2;
1279: $skew+=$x**3;
1280: $kurt+=$x**4;
1281: }
1282: $output[2]=$var/($N-1);
1283: $sdev=CORE::sqrt($output[2]);
1284: if ($sdev == 0) {
1285: $output[3]="inf-variance=0";
1286: $output[4]="inf-variance=0";
1287: return @output;
1288: }
1289: $output[3]=$skew/($sdev**3*$N);
1290: $output[4]=$kurt/($sdev**4*$N)-3;
1.24 ng 1291: return @output;
1292: }
1.5 albertel 1293:
1294: sub choose {
1.73 albertel 1295: my $num = $_[0];
1296: return $_[$num];
1.5 albertel 1297: }
1.23 ng 1298:
1.101 albertel 1299: #&sum1(1,$x,sub { &sum1($_[0],2*$_[0], sub { fact($_[0])**2 })});
1300: #sub sum1 {
1301: # my ($start,$end,$sub)=@_;
1302: # my $sum=0;
1303: # for (my $i=$start;$i<=$end;$i++) {
1304: # $sum+=&$sub($i);
1305: # }
1306: # return $sum
1307: #}
1308:
1309: #&sum2('a',1,$x,'&sum2(\'b\',$a,2*$a, \'&factorial($b)**2\')');
1310: #sub sum2 {
1311: # my ($varname,$start,$end,$line)=@_;
1312: # my $sum=0;
1313: # for (my $i=$start;$i<=$end;$i++) {
1314: # my $func=sub {
1315: # eval("\$".$varname."=$i");
1316: # eval($line);
1317: # };
1318: # $sum+=&$func($i);
1319: # }
1320: # return $sum
1321: #}
1322:
1.49 albertel 1323: # expiremental idea
1324: sub proper_path {
1.73 albertel 1325: my ($path)=@_;
1326: if ( $external::target eq "tex" ) {
1327: return '/home/httpd/html'.$path;
1328: } else {
1329: return $path;
1330: }
1.49 albertel 1331: }
1.23 ng 1332:
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