1: # The LearningOnline Network with CAPA
2: # Page Handler
3: #
4: # $Id: lonpage.pm,v 1.80 2007/06/22 21:24:54 albertel Exp $
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: #
28: ###
29:
30: package Apache::lonpage;
31:
32: use strict;
33: use Apache::Constants qw(:common :http);
34: use Apache::lonnet;
35: use Apache::loncommon();
36: use Apache::lonxml();
37: use Apache::lonlocal;
38: use Apache::lonmenu;
39: use HTML::TokeParser;
40: use GDBM_File;
41: use Apache::lonsequence;
42: use lib '/home/httpd/lib/perl/';
43: use LONCAPA;
44:
45:
46: # -------------------------------------------------------------- Module Globals
47: my %hash;
48: my @rows;
49:
50: # ------------------------------------------------------------------ Euclid gcd
51:
52: sub euclid {
53: my ($e,$f)=@_;
54: my $a; my $b; my $r;
55: if ($e>$f) { $b=$e; $r=$f; } else { $r=$e; $b=$f; }
56: while ($r!=0) {
57: $a=$b; $b=$r;
58: $r=$a%$b;
59: }
60: return $b;
61: }
62:
63: # ------------------------------------------------------------ Build page table
64:
65: sub tracetable {
66: my ($sofar,$rid,$beenhere)=@_;
67: my $further=$sofar;
68: my $randomout=0;
69: unless ($env{'request.role.adv'}) {
70: $randomout = $hash{'randomout_'.$rid};
71: }
72: unless ($beenhere=~/\&$rid\&/) {
73: $beenhere.=$rid.'&';
74: unless ($randomout) {
75: if (defined($hash{'is_map_'.$rid})) {
76: if ((defined($hash{'map_start_'.$hash{'src_'.$rid}})) &&
77: (defined($hash{'map_finish_'.$hash{'src_'.$rid}}))) {
78: my $frid=$hash{'map_finish_'.$hash{'src_'.$rid}};
79: $sofar=
80: &tracetable($sofar,$hash{'map_start_'.$hash{'src_'.$rid}},
81: '&'.$frid.'&');
82: $sofar++;
83: if ($hash{'src_'.$frid}) {
84: my $brepriv=&Apache::lonnet::allowed('bre',$hash{'src_'.$frid});
85: if (($brepriv eq '2') || ($brepriv eq 'F')) {
86: if (defined($rows[$sofar])) {
87: $rows[$sofar].='&'.$frid;
88: } else {
89: $rows[$sofar]=$frid;
90: }
91: }
92: }
93: }
94: } else {
95: $sofar++;
96: if ($hash{'src_'.$rid}) {
97: my $brepriv=&Apache::lonnet::allowed('bre',$hash{'src_'.$rid});
98: if (($brepriv eq '2') || ($brepriv eq 'F')) {
99: if (defined($rows[$sofar])) {
100: $rows[$sofar].='&'.$rid;
101: } else {
102: $rows[$sofar]=$rid;
103: }
104: }
105: }
106: }
107: }
108:
109: if (defined($hash{'to_'.$rid})) {
110: my $mincond=1;
111: my $next='';
112: foreach (split(/\,/,$hash{'to_'.$rid})) {
113: my $thiscond=
114: &Apache::lonnet::directcondval($hash{'condid_'.$hash{'undercond_'.$_}});
115: if ($thiscond>=$mincond) {
116: if ($next) {
117: $next.=','.$_.':'.$thiscond;
118: } else {
119: $next=$_.':'.$thiscond;
120: }
121: if ($thiscond>$mincond) { $mincond=$thiscond; }
122: }
123: }
124: foreach (split(/\,/,$next)) {
125: my ($linkid,$condval)=split(/\:/,$_);
126: if ($condval>=$mincond) {
127: my $now=&tracetable($sofar,$hash{'goesto_'.$linkid},$beenhere);
128: if ($now>$further) { $further=$now; }
129: }
130: }
131: }
132: }
133: return $further;
134: }
135:
136: # ================================================================ Main Handler
137:
138: sub handler {
139: my $r=shift;
140:
141: # ------------------------------------------- Set document type for header only
142:
143: if ($r->header_only) {
144: if ($env{'browser.mathml'}) {
145: &Apache::loncommon::content_type($r,'text/xml');
146: } else {
147: &Apache::loncommon::content_type($r,'text/html');
148: }
149: $r->send_http_header;
150: return OK;
151: }
152:
153: &Apache::loncommon::get_unprocessed_cgi($ENV{'QUERY_STRING'},
154: ['forceselect','launch']);
155: my $number_of_columns = 1;
156: my $requrl=$r->uri;
157: my $target = $env{'form.grade_target'};
158: # &Apache::lonnet::logthis("Got a target of $target");
159: if ($target eq 'meta') {
160: &Apache::loncommon::content_type($r,'text/html');
161: $r->send_http_header;
162: return OK;
163: }
164: # ----------------------------------------------------------------- Tie db file
165: if (($env{'request.course.fn'}) && (!$env{'form.forceselect'})) {
166: my $fn=$env{'request.course.fn'};
167: if (-e "$fn.db") {
168: if (tie(%hash,'GDBM_File',"$fn.db",&GDBM_READER(),0640)) {
169: # ------------------------------------------------------------------- Hash tied
170: my $firstres=$hash{'map_start_'.$requrl};
171: my $lastres=$hash{'map_finish_'.$requrl};
172: if (($firstres) && ($lastres)) {
173: # ----------------------------------------------------------------- Render page
174:
175: @rows=();
176:
177: &tracetable(0,$firstres,'&');
178:
179: # ------------------------------------------------------------ Add to symb list
180:
181: my $i;
182: my %symbhash=();
183: for ($i=0;$i<=$#rows;$i++) {
184: if ($rows[$i]) {
185: my @colcont=split(/\&/,$rows[$i]);
186: foreach my $rid (@colcont) {
187: my ($mapid,$resid)=split(/\./,$rid);
188: $symbhash{$hash{'src_'.$rid}}=
189: [$hash{'src_'.$rid},$resid];
190: }
191: }
192: }
193: &Apache::lonnet::symblist($requrl,%symbhash);
194:
195: # ------------------------------------------------------------------ Page parms
196:
197: my $j;
198: my $lcm=1;
199: my $contents=0;
200: my $nforms=0;
201:
202: my %ssibody=();
203: my %ssibgcolor=();
204: my %ssitext=();
205: my %ssilink=();
206: my %ssivlink=();
207: my %ssialink=();
208:
209: my %metalink=();
210:
211: my %cellemb=();
212:
213: my $allscript='';
214: my $allmeta='';
215:
216: my $isxml=0;
217: my $xmlheader='';
218: my $xmlbody='';
219:
220: # --------------------------------------------- Get SSI output, post parameters
221:
222: for ($i=0;$i<=$#rows;$i++) {
223: if ($rows[$i]) {
224: $contents++;
225: my @colcont=split(/\&/,$rows[$i]);
226: $lcm*=($#colcont+1)/euclid($lcm,($#colcont+1));
227: foreach (@colcont) {
228: my $src=$hash{'src_'.$_};
229: my ($extension)=($src=~/\.(\w+)$/);
230: if ($hash{'encrypted_'.$_}) {
231: $src=&Apache::lonenc::encrypted($src);
232: }
233: $metalink{$_}=$src.'.meta';
234: $cellemb{$_}=
235: &Apache::loncommon::fileembstyle($extension);
236: if ($cellemb{$_} eq 'ssi') {
237: # --------------------------------------------------------- This is an SSI cell
238: my ($mapid,$resid)=split(/\./,$_);
239: my $symb=&Apache::lonnet::encode_symb($hash{'map_id_'.$mapid},$resid,$src);
240:
241: my $prefix=$_.'_';
242: my %posthash=('request.prefix' => $prefix,
243: 'LONCAPA_INTERNAL_no_discussion' => 'true',
244: 'symb' => $symb);
245: if ($env{'form.grade_target'} eq 'tex') {
246: $posthash{'grade_target'}=$env{'form.grade_target'};
247: $posthash{'textwidth'}=$env{'form.textwidth'};
248: $posthash{'problem_split'}=$env{'form.problem_split'};
249: $posthash{'latex_type'}=$env{'form.latex_type'};
250: $posthash{'rndseed'}=$env{'form.rndseed'};
251: }
252: my $submitted=exists($env{'form.all_submit'});
253: if (!$submitted) {
254: foreach my $key (keys(%env)) {
255: if ($key=~/^form.\Q$prefix\Esubmit_/) {
256: $submitted=1;last;
257: }
258: }
259: }
260: if ($submitted) {
261: foreach my $key (keys(%env)) {
262: if ($key=~/^form.\Q$prefix\E/) {
263: my $name=$key;
264: $name=~s/^form.\Q$prefix\E//;
265: $posthash{$name}=$env{$key};
266: }
267: }
268: if (exists($env{'form.all_submit'})) {
269: $posthash{'all_submit'}='yes';
270: }
271: }
272: my $output=Apache::lonnet::ssi($src,%posthash);
273: $output=~s|//(\s*<!--)? BEGIN LON-CAPA Internal.+?// END LON-CAPA Internal\s*(-->)?\s||gs;
274: if ($target eq 'tex') {
275: $output =~ s/^([^&]+)\\begin{document}//;
276: $output =~ s/\\end{document}//;
277: $output = '\parbox{\minipagewidth}{ '.$output.' }';
278: #some additional cleanup necessary for LateX (due to limitations of table environment
279: $output =~ s/(\\vskip\s*\d+mm)\s*(\\\\)+/$1/g;
280: }
281: my $parser=HTML::TokeParser->new(\$output);
282: my $token;
283: my $thisdir=$src;
284: my $bodydef=0;
285: my $thisxml=0;
286: my @rlinks=();
287: if ($output=~/\?xml/) {
288: $isxml=1;
289: $thisxml=1;
290: $output=~
291: /((?:\<(?:\?xml|\!DOC|html)[^\>]*(?:\>|\>\]\>)\s*)+)\<body[^\>]*\>/si;
292: $xmlheader=$1;
293: }
294: while ($token=$parser->get_token) {
295: if ($token->[0] eq 'S') {
296: if ($token->[1] eq 'a') {
297: if ($token->[2]->{'href'}) {
298: $rlinks[$#rlinks+1]=
299: $token->[2]->{'href'};
300: }
301: } elsif ($token->[1] eq 'img') {
302: $rlinks[$#rlinks+1]=
303: $token->[2]->{'src'};
304: } elsif ($token->[1] eq 'embed') {
305: $rlinks[$#rlinks+1]=
306: $token->[2]->{'src'};
307: } elsif ($token->[1] eq 'base') {
308: $thisdir=$token->[2]->{'href'};
309: } elsif ($token->[1] eq 'body') {
310: $bodydef=1;
311: $ssibgcolor{$_}=$token->[2]->{'bgcolor'};
312: $ssitext{$_}=$token->[2]->{'text'};
313: $ssilink{$_}=$token->[2]->{'link'};
314: $ssivlink{$_}=$token->[2]->{'vlink'};
315: $ssialink{$_}=$token->[2]->{'alink'};
316: if ($thisxml) {
317: $xmlbody=$token->[4];
318: }
319: } elsif ($token->[1] eq 'meta') {
320: if ($token->[4] !~ m:/>$:) {
321: $allmeta.="\n".$token->[4].'</meta>';
322: } else {
323: $allmeta.="\n".$token->[4];
324: }
325: } elsif (($token->[1] eq 'script') &&
326: ($bodydef==0)) {
327: $allscript.="\n\n"
328: .$parser->get_text('/script');
329: }
330: }
331: }
332: if ($output=~/\<body[^\>]*\>(.*)/si) {
333: $output=$1;
334: }
335: $output=~s/\<\/body\>.*//si;
336: if ($output=~/\<form/si) {
337: $nforms++;
338: $output=~s/\<form[^\>]*\>//gsi;
339: $output=~s/\<\/form[^\>]*\>//gsi;
340: $output=~
341: s/\<((?:input|select|button|textarea)[^\>]+)name\s*\=\s*[\'\"]*([^\'\"]+)[\'\"]*([^\>]*)\>/\<$1 name="$prefix$2" $3\>/gsi;
342: }
343: $thisdir=~s/\/[^\/]*$//;
344: foreach (@rlinks) {
345: unless (($_=~/^http:\/\//i) ||
346: ($_=~/^\//) ||
347: ($_=~/^javascript:/i) ||
348: ($_=~/^mailto:/i) ||
349: ($_=~/^\#/)) {
350: my $newlocation=
351: &Apache::lonnet::hreflocation($thisdir,$_);
352: $output=~s/(\"|\'|\=\s*)$_(\"|\'|\s|\>)/$1$newlocation$2/;
353: }
354: }
355: # -------------------------------------------------- Deal with Applet codebases
356: $output=~s/(\<applet[^\>]+)(codebase\=[^\S\>]+)*([^\>]*)\>/$1.($2?$2:' codebase="'.$thisdir.'"').$3.'>'/gei;
357: $ssibody{$_}=$output;
358: # ---------------------------------------------------------------- End SSI cell
359: }
360: }
361: }
362: }
363: unless ($contents) {
364: &Apache::loncommon::content_type($r,'text/html');
365: $r->send_http_header;
366: $r->print(&Apache::loncommon::start_page(undef,undef,
367: {'force_register' => 1,}));
368: $r->print(&mt('This page is either empty or it only contains resources that are currently hidden').'. ');
369: $r->print('<br /><br />'.&mt('Please use the LON-CAPA navigation arrows to move to another item in the course').
370: &Apache::loncommon::end_page());
371: } else {
372: # ------------------------------------------------------------------ Build page
373:
374: # ---------------------------------------------------------------- Send headers
375: unless ($target eq 'tex') {
376: if ($isxml) {
377: &Apache::loncommon::content_type($r,'text/xml');
378: } else {
379: &Apache::loncommon::content_type($r,'text/html');
380: }
381: $r->send_http_header;
382: # ------------------------------------------------------------------------ Head
383: if ($allscript) {
384: $allscript .=
385: "\n<script type=\"text/javascript\">\n".
386: $allscript."\n</script>\n";
387: }
388: # ------------------------------------------------------------------ Start body
389: $r->print(&Apache::loncommon::start_page(undef,undef,
390: {'force_register' => 1,
391: 'bgcolor' => '#ffffff',}));
392: # ------------------------------------------------------------------ Start form
393: if ($nforms) {
394: $r->print('<form method="post" action="'.
395: &Apache::lonenc::check_encrypt($requrl)
396: .'">');
397: }
398: } elsif ($target eq 'tex') {
399: $r->print('\documentclass{article}
400: \newcommand{\keephidden}[1]{}
401: \usepackage[dvips]{graphicx}
402: \usepackage{epsfig}
403: \usepackage{calc}
404: \usepackage{longtable}
405: \begin{document}');
406: }
407: # ----------------------------------------------------------------- Start table
408: if ($target eq 'tex') {
409: $r->print('\begin{longtable}INSERTTHEHEADOFLONGTABLE\endfirsthead\endhead ');
410: if ($number_of_columns le $lcm) {$number_of_columns=$lcm;};
411: } else {
412: $r->print('<table width="100%" cols="'.$lcm.'" border="0">');
413: }
414: # which icons do we use?
415: my $extension='png';
416: if ($env{'environment.icons'} eq 'classic') { $extension='gif'; }
417: # generate rows
418: for ($i=0;$i<=$#rows;$i++) {
419: if ($rows[$i]) {
420: unless ($target eq 'tex') {
421: $r->print("\n<tr>");
422: }
423: my @colcont=split(/\&/,$rows[$i]);
424: my $avespan=$lcm/($#colcont+1);
425: for ($j=0;$j<=$#colcont;$j++) {
426: my $rid=$colcont[$j];
427: my $metainfo = '';
428: my $esrc=&Apache::lonnet::declutter($hash{'src_'.$rid});
429: my ($mapid,$resid)=split(/\./,$rid);
430: my $symb=&Apache::lonnet::encode_symb($hash{'map_id_'.$mapid},$resid,$hash{'src_'.$rid});
431: if ($hash{'encrypted_'.$rid}) {
432: $symb=&Apache::lonenc::encrypted($symb);
433: $esrc=&Apache::lonenc::encrypted($esrc);
434: }
435: unless ($hash{'src_'.$rid} =~ m-^/uploaded/-) {
436: $metainfo ='<a name="'.&escape($symb).'" />'.
437: '<a href="'.$metalink{$rid}.'" target="LONcatInfo">'.
438: '<img src="/adm/lonMisc/cat_button.'.$extension.'" class="LC_icon" />'.
439: '</a>';
440: }
441: $metainfo .= '<a href="/adm/evaluate?postdata='.
442: &escape($esrc).
443: '" target="LONcatInfo">'.
444: '<img src="/adm/lonMisc/eval_button.'.$extension.'" class="LC_icon" />'.
445: '</a>';
446: if (
447: ($hash{'src_'.$rid}=~/\.(problem|exam|quiz|assess|survey|form)$/) &&
448: (&Apache::lonnet::allowed('mgr',$env{'request.course.id'})) &&
449: ($hash{'src_'.$rid} !~ m-^/uploaded/-)) {
450: my ($mapid,$resid)=split(/\./,$rid);
451: my $symb=
452: &Apache::lonnet::declutter($hash{'map_id_'.$mapid}).
453: '___'.$resid.'___'.
454: &Apache::lonnet::declutter($hash{'src_'.$rid});
455: $metainfo.=
456: '<a href="/adm/grades?symb='.&escape($symb).
457: # '&command=submission" target="LONcatInfo">'.
458: '&command=submission">'.
459: '<img src="/adm/lonMisc/subm_button.'.$extension.'" class="LC_icon" />'.
460: '</a>'.
461: '<a href="/adm/grades?symb='.&escape($symb).
462: # '&command=gradingmenu" target="LONcatInfo">'.
463: '&command=gradingmenu">'.
464: '<img src="/adm/lonMisc/pgrd_button.'.$extension.'" class="LC_icon" />'.
465: '</a>'.
466: '<a href="/adm/parmset?symb='.&escape($symb).
467: # '" target="LONcatInfo">'.
468: '" >'.
469: '<img src="/adm/lonMisc/pprm_button.'.$extension.'" class="LC_icon" />'.
470: '</a>';
471: }
472: $metainfo.='<br></br>';
473: unless ($target eq 'tex') {
474: $r->print('<td colspan="'.$avespan.'"');
475: }
476: if ($cellemb{$rid} eq 'ssi') {
477: unless ($target eq 'tex') {
478: if ($ssibgcolor{$rid}) {
479: $r->print(' bgcolor="'.
480: $ssibgcolor{$rid}.'"');
481: }
482: $r->print('>'.$metainfo.'<font');
483:
484: if ($ssitext{$rid}) {
485: $r->print(' text="'.$ssitext{$rid}.'"');
486: }
487: if ($ssilink{$rid}) {
488: $r->print(' link="'.$ssilink{$rid}.'"');
489: }
490: if ($ssitext{$rid}) {
491: $r->print(' vlink="'.$ssivlink{$rid}.'"');
492: }
493: if ($ssialink{$rid}) {
494: $r->print(' alink="'.$ssialink{$rid}.'"');
495: }
496: $r->print('>');
497: }
498: $r->print($ssibody{$rid});
499: unless ($target eq 'tex') {
500: $r->print('</font>');
501: }
502: if ($env{'course.'.
503: $env{'request.course.id'}.
504: '.pageseparators'} eq 'yes') {
505: unless($target eq 'tex') {
506: $r->print('<hr />');
507: }
508: }
509: } elsif ($cellemb{$rid} eq 'img') {
510: $r->print('>'.$metainfo.'<img src="'.
511: $hash{'src_'.$rid}.'" />');
512: } elsif ($cellemb{$rid} eq 'emb') {
513: $r->print('>'.$metainfo.'<embed src="'.
514: $hash{'src_'.$rid}.'"></embed>');
515: } elsif (&Apache::lonnet::declutter($hash{'src_'.$rid}) !~/\.(sequence|page)$/) {
516: $r->print($metainfo.'<b>'.$hash{'title_'.$rid}.'</b><br />'.
517: &mt('It is recommended that you use an up-to-date virus scanner before handling this file.').'</p><p><table>'.
518: &Apache::londocs::entryline(0,&mt("Click to download or use your browser's Save Link function"),'/'.&Apache::lonnet::declutter($hash{'src_'.$rid})).'</table></p><br />');
519: }
520: unless ($target eq 'tex') {
521: $r->print('</td>');
522: } else {
523: for (my $incol=1;$incol<=$avespan;$incol++) {
524: $r->print(' & ');
525: }
526: }
527: }
528: unless ($target eq 'tex') {
529: $r->print('</tr>');
530: } else {
531: $r->print('REMOVETHEHEADOFLONGTABLE\\\\');
532: }
533: }
534: }
535: unless ($target eq 'tex') {
536: $r->print("\n</table>");
537: } else {
538: $r->print('\end{longtable}\strut');
539: }
540: # ---------------------------------------------------------------- Submit, etc.
541: if ($nforms) {
542: $r->print(
543: '<input name="all_submit" value="Submit All" type="'.
544: (($nforms>1)?'submit':'hidden').'"></input></form>');
545: }
546: unless ($target eq 'tex') {
547: $r->print(&Apache::loncommon::end_page({'discussion'
548: => 1,}));
549: } else {
550: $r->print('\end{document}'.$number_of_columns);
551: }
552: &Apache::lonnet::symblist($requrl,%symbhash);
553: my ($map,$id,$url)=&Apache::lonnet::decode_symb(&Apache::lonnet::symbread());
554: &Apache::lonnet::symblist($map,'last_known'=>[$url,$id]);
555: # -------------------------------------------------------------------- End page
556: }
557: # ------------------------------------------------------------- End render page
558: } else {
559: &Apache::loncommon::content_type($r,'text/html');
560: $r->send_http_header;
561: &Apache::lonsequence::viewmap($r,$requrl);
562: }
563: # ------------------------------------------------------------------ Untie hash
564: unless (untie(%hash)) {
565: &Apache::lonnet::logthis("<font color=blue>WARNING: ".
566: "Could not untie coursemap $fn (browse).</font>");
567: }
568: # -------------------------------------------------------------------- All done
569: return OK;
570: # ----------------------------------------------- Errors, hash could no be tied
571: }
572: }
573: }
574: &Apache::loncommon::content_type($r,'text/html');
575: $r->send_http_header;
576: &Apache::lonsequence::viewmap($r,$requrl);
577: return OK;
578: }
579:
580: 1;
581: __END__
582:
583: =head1 NAME
584:
585: Apache::lonpage - Page Handler
586:
587: =head1 SYNOPSIS
588:
589: Invoked by /etc/httpd/conf/srm.conf:
590:
591: <LocationMatch "^/res/.*\.page$>
592: SetHandler perl-script
593: PerlHandler Apache::lonpage
594: </LocationMatch>
595:
596: =head1 INTRODUCTION
597:
598: This module renders a .page resource.
599:
600: This is part of the LearningOnline Network with CAPA project
601: described at http://www.lon-capa.org.
602:
603: =head1 HANDLER SUBROUTINE
604:
605: This routine is called by Apache and mod_perl.
606:
607: =over 4
608:
609: =item *
610:
611: set document type for header only
612:
613: =item *
614:
615: tie db file
616:
617: =item *
618:
619: render page
620:
621: =item *
622:
623: add to symb list
624:
625: =item *
626:
627: page parms
628:
629: =item *
630:
631: Get SSI output, post parameters
632:
633: =item *
634:
635: SSI cell rendering
636:
637: =item *
638:
639: Deal with Applet codebases
640:
641: =item *
642:
643: Build page
644:
645: =item *
646:
647: send headers
648:
649: =item *
650:
651: start body
652:
653: =item *
654:
655: start form
656:
657: =item *
658:
659: start table
660:
661: =item *
662:
663: submit element, etc, render page, untie hash
664:
665: =back
666:
667: =head1 OTHER SUBROUTINES
668:
669: =over 4
670:
671: =item *
672:
673: euclid() : Euclid's method for determining the greatest common denominator.
674:
675: =item *
676:
677: tracetable() : Build page table.
678:
679: =back
680:
681: =cut
682:
683:
684:
685:
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