1: # The LearningOnline Network with CAPA
2: # Page Handler
3: #
4: # $Id: lonpage.pm,v 1.67 2005/02/17 09:09:57 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:
43: # -------------------------------------------------------------- Module Globals
44: my %hash;
45: my @rows;
46:
47: # ------------------------------------------------------------------ Euclid gcd
48:
49: sub euclid {
50: my ($e,$f)=@_;
51: my $a; my $b; my $r;
52: if ($e>$f) { $b=$e; $r=$f; } else { $r=$e; $b=$f; }
53: while ($r!=0) {
54: $a=$b; $b=$r;
55: $r=$a%$b;
56: }
57: return $b;
58: }
59:
60: # ------------------------------------------------------------ Build page table
61:
62: sub tracetable {
63: my ($sofar,$rid,$beenhere)=@_;
64: my $further=$sofar;
65: my $randomout=0;
66: unless ($ENV{'request.role.adv'}) {
67: $randomout = $hash{'randomout_'.$rid};
68: }
69: unless ($beenhere=~/\&$rid\&/) {
70: $beenhere.=$rid.'&';
71: unless ($randomout) {
72: if (defined($hash{'is_map_'.$rid})) {
73: if ((defined($hash{'map_start_'.$hash{'src_'.$rid}})) &&
74: (defined($hash{'map_finish_'.$hash{'src_'.$rid}}))) {
75: my $frid=$hash{'map_finish_'.$hash{'src_'.$rid}};
76: $sofar=
77: &tracetable($sofar,$hash{'map_start_'.$hash{'src_'.$rid}},
78: '&'.$frid.'&');
79: $sofar++;
80: if ($hash{'src_'.$frid}) {
81: my $brepriv=&Apache::lonnet::allowed('bre',$hash{'src_'.$frid});
82: if (($brepriv eq '2') || ($brepriv eq 'F')) {
83: if (defined($rows[$sofar])) {
84: $rows[$sofar].='&'.$frid;
85: } else {
86: $rows[$sofar]=$frid;
87: }
88: }
89: }
90: }
91: } else {
92: $sofar++;
93: if ($hash{'src_'.$rid}) {
94: my $brepriv=&Apache::lonnet::allowed('bre',$hash{'src_'.$rid});
95: if (($brepriv eq '2') || ($brepriv eq 'F')) {
96: if (defined($rows[$sofar])) {
97: $rows[$sofar].='&'.$rid;
98: } else {
99: $rows[$sofar]=$rid;
100: }
101: }
102: }
103: }
104: }
105:
106: if (defined($hash{'to_'.$rid})) {
107: my $mincond=1;
108: my $next='';
109: foreach (split(/\,/,$hash{'to_'.$rid})) {
110: my $thiscond=
111: &Apache::lonnet::directcondval($hash{'condid_'.$hash{'undercond_'.$_}});
112: if ($thiscond>=$mincond) {
113: if ($next) {
114: $next.=','.$_.':'.$thiscond;
115: } else {
116: $next=$_.':'.$thiscond;
117: }
118: if ($thiscond>$mincond) { $mincond=$thiscond; }
119: }
120: }
121: foreach (split(/\,/,$next)) {
122: my ($linkid,$condval)=split(/\:/,$_);
123: if ($condval>=$mincond) {
124: my $now=&tracetable($sofar,$hash{'goesto_'.$linkid},$beenhere);
125: if ($now>$further) { $further=$now; }
126: }
127: }
128: }
129: }
130: return $further;
131: }
132:
133: # ================================================================ Main Handler
134:
135: sub handler {
136: my $r=shift;
137:
138: # ------------------------------------------- Set document type for header only
139:
140: if ($r->header_only) {
141: if ($ENV{'browser.mathml'}) {
142: &Apache::loncommon::content_type($r,'text/xml');
143: } else {
144: &Apache::loncommon::content_type($r,'text/html');
145: }
146: $r->send_http_header;
147: return OK;
148: }
149:
150: &Apache::loncommon::get_unprocessed_cgi($ENV{'QUERY_STRING'},
151: ['forceselect','launch']);
152: my $number_of_columns = 1;
153: my $requrl=$r->uri;
154: my $target = $ENV{'form.grade_target'};
155: # &Apache::lonnet::logthis("Got a target of $target");
156: if ($target eq 'meta') {
157: &Apache::loncommon::content_type($r,'text/html');
158: $r->send_http_header;
159: return OK;
160: }
161: # ----------------------------------------------------------------- Tie db file
162: if (($ENV{'request.course.fn'}) && (!$ENV{'form.forceselect'})) {
163: my $fn=$ENV{'request.course.fn'};
164: if (-e "$fn.db") {
165: if (tie(%hash,'GDBM_File',"$fn.db",&GDBM_READER(),0640)) {
166: # ------------------------------------------------------------------- Hash tied
167: my $firstres=$hash{'map_start_'.$requrl};
168: my $lastres=$hash{'map_finish_'.$requrl};
169: if (($firstres) && ($lastres)) {
170: # ----------------------------------------------------------------- Render page
171:
172: @rows=();
173:
174: &tracetable(0,$firstres,'&');
175:
176: # ------------------------------------------------------------ Add to symb list
177:
178: my $i;
179: my %symbhash=();
180: for ($i=0;$i<=$#rows;$i++) {
181: if ($rows[$i]) {
182: my @colcont=split(/\&/,$rows[$i]);
183: foreach (@colcont) {
184: $symbhash{$hash{'src_'.$_}}='';
185: }
186: }
187: }
188: &Apache::lonnet::symblist($requrl,%symbhash);
189:
190: # ------------------------------------------------------------------ Page parms
191:
192: my $j;
193: my $lcm=1;
194: my $contents=0;
195: my $nforms=0;
196:
197: my %ssibody=();
198: my %ssibgcolor=();
199: my %ssitext=();
200: my %ssilink=();
201: my %ssivlink=();
202: my %ssialink=();
203:
204: my %metalink=();
205:
206: my %cellemb=();
207:
208: my $allscript='';
209: my $allmeta='';
210:
211: my $isxml=0;
212: my $xmlheader='';
213: my $xmlbody='';
214:
215: # --------------------------------------------- Get SSI output, post parameters
216:
217: for ($i=0;$i<=$#rows;$i++) {
218: if ($rows[$i]) {
219: $contents++;
220: my @colcont=split(/\&/,$rows[$i]);
221: $lcm*=($#colcont+1)/euclid($lcm,($#colcont+1));
222: foreach (@colcont) {
223: my $src=$hash{'src_'.$_};
224: my ($extension)=($src=~/\.(\w+)$/);
225: if ($hash{'encrypted_'.$_}) {
226: $src=&Apache::lonenc::encrypted($src);
227: }
228: $metalink{$_}=$src.'.meta';
229: $cellemb{$_}=
230: &Apache::loncommon::fileembstyle($extension);
231: if ($cellemb{$_} eq 'ssi') {
232: # --------------------------------------------------------- This is an SSI cell
233: my ($mapid,$resid)=split(/\./,$_);
234: my $symb=&Apache::lonnet::encode_symb($hash{'map_id_'.$mapid},$resid,$src);
235:
236: my $prefix=$_.'_';
237: my %posthash=('request.prefix' => $prefix,
238: 'symb' => $symb);
239: if ($ENV{'form.grade_target'} eq 'tex') {
240: $posthash{'grade_target'}=$ENV{'form.grade_target'};
241: $posthash{'textwidth'}=$ENV{'form.textwidth'};
242: $posthash{'problem_split'}=$ENV{'form.problem_split'};
243: $posthash{'latex_type'}=$ENV{'form.latex_type'};
244: $posthash{'rndseed'}=$ENV{'form.rndseed'};
245: }
246: if (($ENV{'form.'.$prefix.'submit'})
247: || ($ENV{'form.all_submit'})) {
248: foreach (keys %ENV) {
249: if ($_=~/^form.$prefix/) {
250: my $name=$_;
251: $name=~s/^form.$prefix//;
252: $posthash{$name}=$ENV{$_};
253: }
254: }
255: }
256: my $output=Apache::lonnet::ssi($src,%posthash);
257: $output=~s|//(\s*<!--)? BEGIN LON-CAPA Internal.+// END LON-CAPA Internal\s*(-->)?\s||gs;
258: if ($target eq 'tex') {
259: $output =~ s/^([^&]+)\\begin{document}//;
260: $output =~ s/\\end{document}//;
261: $output = '\parbox{\minipagewidth}{ '.$output.' }';
262: #some additional cleanup necessary for LateX (due to limitations of table environment
263: $output =~ s/(\\vskip\s*\d+mm)\s*(\\\\)+/$1/g;
264: }
265: my $parser=HTML::TokeParser->new(\$output);
266: my $token;
267: my $thisdir=$src;
268: my $bodydef=0;
269: my $thisxml=0;
270: my @rlinks=();
271: if ($output=~/\?xml/) {
272: $isxml=1;
273: $thisxml=1;
274: $output=~
275: /((?:\<(?:\?xml|\!DOC|html)[^\>]*(?:\>|\>\]\>)\s*)+)\<body[^\>]*\>/si;
276: $xmlheader=$1;
277: }
278: while ($token=$parser->get_token) {
279: if ($token->[0] eq 'S') {
280: if ($token->[1] eq 'a') {
281: if ($token->[2]->{'href'}) {
282: $rlinks[$#rlinks+1]=
283: $token->[2]->{'href'};
284: }
285: } elsif ($token->[1] eq 'img') {
286: $rlinks[$#rlinks+1]=
287: $token->[2]->{'src'};
288: } elsif ($token->[1] eq 'embed') {
289: $rlinks[$#rlinks+1]=
290: $token->[2]->{'src'};
291: } elsif ($token->[1] eq 'base') {
292: $thisdir=$token->[2]->{'href'};
293: } elsif ($token->[1] eq 'body') {
294: $bodydef=1;
295: $ssibgcolor{$_}=$token->[2]->{'bgcolor'};
296: $ssitext{$_}=$token->[2]->{'text'};
297: $ssilink{$_}=$token->[2]->{'link'};
298: $ssivlink{$_}=$token->[2]->{'vlink'};
299: $ssialink{$_}=$token->[2]->{'alink'};
300: if ($thisxml) {
301: $xmlbody=$token->[4];
302: }
303: } elsif ($token->[1] eq 'meta') {
304: if ($token->[4] !~ m:/>$:) {
305: $allmeta.="\n".$token->[4].'</meta>';
306: } else {
307: $allmeta.="\n".$token->[4];
308: }
309: } elsif (($token->[1] eq 'script') &&
310: ($bodydef==0)) {
311: $allscript.="\n\n"
312: .$parser->get_text('/script');
313: }
314: }
315: }
316: if ($output=~/\<body[^\>]*\>(.*)/si) {
317: $output=$1;
318: }
319: $output=~s/\<\/body\>.*//si;
320: if ($output=~/\<form/si) {
321: $nforms++;
322: $output=~s/\<form[^\>]*\>//gsi;
323: $output=~s/\<\/form[^\>]*\>//gsi;
324: $output=~
325: s/\<((?:input|select|button|textarea)[^\>]+)name\s*\=\s*[\'\"]*([\w\.\:]+)[\'\"]*([^\>]*)\>/\<$1 name="$prefix$2" $3\>/gsi;
326: }
327: $thisdir=~s/\/[^\/]*$//;
328: foreach (@rlinks) {
329: unless (($_=~/^http:\/\//i) ||
330: ($_=~/^\//) ||
331: ($_=~/^javascript:/i) ||
332: ($_=~/^mailto:/i) ||
333: ($_=~/^\#/)) {
334: my $newlocation=
335: &Apache::lonnet::hreflocation($thisdir,$_);
336: $output=~s/(\"|\'|\=\s*)$_(\"|\'|\s|\>)/$1$newlocation$2/;
337: }
338: }
339: # -------------------------------------------------- Deal with Applet codebases
340: $output=~s/(\<applet[^\>]+)(codebase\=[^\S\>]+)*([^\>]*)\>/$1.($2?$2:' codebase="'.$thisdir.'"').$3.'>'/gei;
341: $ssibody{$_}=$output;
342: # ---------------------------------------------------------------- End SSI cell
343: }
344: }
345: }
346: }
347: unless ($contents) {
348: &Apache::loncommon::content_type($r,'text/html');
349: $r->send_http_header;
350: $r->print('<html>'."\n".
351: '<head>'."\n".
352: &Apache::lonmenu::registerurl(1,undef)."\n".
353: '</head>'."\n".
354: '<body bgcolor="#FFFFFF" onLoad="'
355: .&Apache::lonmenu::loadevents.
356: '" onUnload="'.&Apache::lonmenu::unloadevents.'">'.
357: &Apache::lonmenu::menubuttons(undef,$target,1)
358: );
359: $r->print(&mt('This page is either empty or it only contains resources that are currently hidden').'. ');
360: $r->print('<br /><br />'.&mt('Please use the LON-CAPA navigation arrows to move to another item in the course').'.</body></html>');
361: } else {
362: # ------------------------------------------------------------------ Build page
363:
364: # ---------------------------------------------------------------- Send headers
365: unless ($target eq 'tex') {
366: if ($isxml) {
367: &Apache::loncommon::content_type($r,'text/xml');
368: $r->send_http_header;
369: $r->print($xmlheader);
370: } else {
371: &Apache::loncommon::content_type($r,'text/html');
372: $r->send_http_header;
373: $r->print('<html>');
374: }
375: # ------------------------------------------------------------------------ Head
376: $r->print("\n<head>\n".$allmeta);
377: if ($allscript) {
378: $r->print("\n<script language='JavaScript'>\n".
379: $allscript."\n</script>\n");
380: }
381: $r->print(&Apache::lonmenu::registerurl(1,undef));
382: $r->print("\n</head>\n");
383: # ------------------------------------------------------------------ Start body
384: if ($isxml) {
385: $r->print($xmlbody);
386: } else {
387: $r->print(
388: '<body bgcolor="#FFFFFF" onLoad="'.&Apache::lonmenu::loadevents.
389: '" onUnload="'.&Apache::lonmenu::unloadevents.'">'.
390: &Apache::lonmenu::menubuttons(undef,$target,1)
391: );
392: }
393: # ------------------------------------------------------------------ Start form
394: if ($nforms) {
395: $r->print('<form method="post" action="'.
396: &Apache::lonenc::check_encrypt($requrl)
397: .'">');
398: }
399: } elsif ($target eq 'tex') {
400: $r->print('\documentclass{article}
401: \newcommand{\keephidden}[1]{}
402: \usepackage[dvips]{graphicx}
403: \usepackage{epsfig}
404: \usepackage{calc}
405: \usepackage{longtable}
406: \begin{document}');
407: }
408: # ----------------------------------------------------------------- Start table
409: if ($target eq 'tex') {
410: $r->print('\begin{longtable}INSERTTHEHEADOFLONGTABLE\endfirsthead\endhead ');
411: if ($number_of_columns le $lcm) {$number_of_columns=$lcm;};
412: } else {
413: $r->print('<table width="100%" cols="'.$lcm.'" border="0">');
414: }
415: for ($i=0;$i<=$#rows;$i++) {
416: if ($rows[$i]) {
417: unless ($target eq 'tex') {
418: $r->print("\n<tr>");
419: }
420: my @colcont=split(/\&/,$rows[$i]);
421: my $avespan=$lcm/($#colcont+1);
422: for ($j=0;$j<=$#colcont;$j++) {
423: my $rid=$colcont[$j];
424: my $metainfo = '';
425: my $esrc=&Apache::lonnet::declutter($hash{'src_'.$rid});
426: my ($mapid,$resid)=split(/\./,$rid);
427: my $symb=&Apache::lonnet::encode_symb($hash{'map_id_'.$mapid},$resid,$hash{'src_'.$rid});
428: if ($hash{'encrypted_'.$rid}) {
429: $symb=&Apache::lonenc::encrypted($symb);
430: $esrc=&Apache::lonenc::encrypted($esrc);
431: }
432: unless ($hash{'src_'.$rid} =~ m-^/uploaded/-) {
433: $metainfo ='<a name="'.&Apache::lonnet::escape($symb).'" />'.
434: '<a href="'.$metalink{$rid}.'" target="LONcatInfo">'.
435: '<img src="/adm/lonMisc/cat_button.gif" border=0>'.
436: '</img></a>';
437: }
438: $metainfo .= '<a href="/adm/evaluate?postdata='.
439: &Apache::lonnet::escape($esrc).
440: '" target="LONcatInfo">'.
441: '<img src="/adm/lonMisc/eval_button.gif" border=0>'.
442: '</img></a>';
443: if (
444: ($hash{'src_'.$rid}=~/\.(problem|exam|quiz|assess|survey|form)$/) &&
445: (&Apache::lonnet::allowed('mgr',$ENV{'request.course.id'})) &&
446: ($hash{'src_'.$rid} !~ m-^/uploaded/-)) {
447: my ($mapid,$resid)=split(/\./,$rid);
448: my $symb=
449: &Apache::lonnet::declutter($hash{'map_id_'.$mapid}).
450: '___'.$resid.'___'.
451: &Apache::lonnet::declutter($hash{'src_'.$rid});
452: $metainfo.=
453: '<a href="/adm/grades?symb='.&Apache::lonnet::escape($symb).
454: # '&command=submission" target="LONcatInfo">'.
455: '&command=submission">'.
456: '<img src="/adm/lonMisc/subm_button.gif" border=0>'.
457: '</img></a>'.
458: '<a href="/adm/grades?symb='.&Apache::lonnet::escape($symb).
459: # '&command=gradingmenu" target="LONcatInfo">'.
460: '&command=gradingmenu">'.
461: '<img src="/adm/lonMisc/pgrd_button.gif" border=0>'.
462: '</img></a>'.
463: '<a href="/adm/parmset?symb='.&Apache::lonnet::escape($symb).
464: # '" target="LONcatInfo">'.
465: '" >'.
466: '<img src="/adm/lonMisc/pprm_button.gif" border=0>'.
467: '</img></a>';
468: }
469: $metainfo.='<br></br>';
470: unless ($target eq 'tex') {
471: $r->print('<td colspan="'.$avespan.'"');
472: }
473: if ($cellemb{$rid} eq 'ssi') {
474: unless ($target eq 'tex') {
475: if ($ssibgcolor{$rid}) {
476: $r->print(' bgcolor="'.
477: $ssibgcolor{$rid}.'"');
478: }
479: $r->print('>'.$metainfo.'<font');
480:
481: if ($ssitext{$rid}) {
482: $r->print(' text="'.$ssitext{$rid}.'"');
483: }
484: if ($ssilink{$rid}) {
485: $r->print(' link="'.$ssilink{$rid}.'"');
486: }
487: if ($ssitext{$rid}) {
488: $r->print(' vlink="'.$ssivlink{$rid}.'"');
489: }
490: if ($ssialink{$rid}) {
491: $r->print(' alink="'.$ssialink{$rid}.'"');
492: }
493: $r->print('>');
494: }
495: $r->print($ssibody{$rid});
496: unless ($target eq 'tex') {
497: $r->print('</font>');
498: }
499: if ($ENV{'course.'.
500: $ENV{'request.course.id'}.
501: '.pageseparators'} eq 'yes') {
502: unless($target eq 'tex') {
503: $r->print('<hr />');
504: } else {
505: $r->print('\hline');
506: }
507: }
508: } elsif ($cellemb{$rid} eq 'img') {
509: $r->print('>'.$metainfo.'<img src="'.
510: $hash{'src_'.$rid}.'"></img>');
511: } elsif ($cellemb{$rid} eq 'emb') {
512: $r->print('>'.$metainfo.'<embed src="'.
513: $hash{'src_'.$rid}.'"></embed>');
514: } elsif (&Apache::lonnet::declutter($hash{'src_'.$rid}) !~/\.(sequence|page)$/) {
515: $r->print($metainfo.'<b>'.$hash{'title_'.$rid}.'</b><br />'.
516: &mt('It is recommended that you use an up-to-date virus scanner before handling this file.').'</p><p><table>'.
517: &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 />');
518: }
519: unless ($target eq 'tex') {
520: $r->print('</td>');
521: } else {
522: for (my $incol=1;$incol<=$avespan;$incol++) {
523: $r->print(' & ');
524: }
525: }
526: }
527: unless ($target eq 'tex') {
528: $r->print('</tr>');
529: } else {
530: $r->print('REMOVETHEHEADOFLONGTABLE\\\\');
531: }
532: }
533: }
534: unless ($target eq 'tex') {
535: $r->print("\n</table>");
536: } else {
537: $r->print('\end{longtable}\strut');
538: }
539: # ---------------------------------------------------------------- Submit, etc.
540: if ($nforms) {
541: $r->print(
542: '<input name="all_submit" value="Submit All" type="'.
543: (($nforms>1)?'submit':'hidden').'"></input></form>');
544: }
545: unless ($target eq 'tex') {
546: $r->print('</body>'.&Apache::lonxml::xmlend());
547: } else {
548: $r->print('\end{document}'.$number_of_columns);
549: }
550: &Apache::lonnet::symblist($requrl,%symbhash);
551: # -------------------------------------------------------------------- End page
552: }
553: # ------------------------------------------------------------- End render page
554: } else {
555: &Apache::loncommon::content_type($r,'text/html');
556: $r->send_http_header;
557: &Apache::lonsequence::viewmap($r,$requrl);
558: }
559: # ------------------------------------------------------------------ Untie hash
560: unless (untie(%hash)) {
561: &Apache::lonnet::logthis("<font color=blue>WARNING: ".
562: "Could not untie coursemap $fn (browse).</font>");
563: }
564: # -------------------------------------------------------------------- All done
565: return OK;
566: # ----------------------------------------------- Errors, hash could no be tied
567: }
568: }
569: }
570: &Apache::loncommon::content_type($r,'text/html');
571: $r->send_http_header;
572: &Apache::lonsequence::viewmap($r,$requrl);
573: return OK;
574: }
575:
576: 1;
577: __END__
578:
579: =head1 NAME
580:
581: Apache::lonpage - Page Handler
582:
583: =head1 SYNOPSIS
584:
585: Invoked by /etc/httpd/conf/srm.conf:
586:
587: <LocationMatch "^/res/.*\.page$>
588: SetHandler perl-script
589: PerlHandler Apache::lonpage
590: </LocationMatch>
591:
592: =head1 INTRODUCTION
593:
594: This module renders a .page resource.
595:
596: This is part of the LearningOnline Network with CAPA project
597: described at http://www.lon-capa.org.
598:
599: =head1 HANDLER SUBROUTINE
600:
601: This routine is called by Apache and mod_perl.
602:
603: =over 4
604:
605: =item *
606:
607: set document type for header only
608:
609: =item *
610:
611: tie db file
612:
613: =item *
614:
615: render page
616:
617: =item *
618:
619: add to symb list
620:
621: =item *
622:
623: page parms
624:
625: =item *
626:
627: Get SSI output, post parameters
628:
629: =item *
630:
631: SSI cell rendering
632:
633: =item *
634:
635: Deal with Applet codebases
636:
637: =item *
638:
639: Build page
640:
641: =item *
642:
643: send headers
644:
645: =item *
646:
647: start body
648:
649: =item *
650:
651: start form
652:
653: =item *
654:
655: start table
656:
657: =item *
658:
659: submit element, etc, render page, untie hash
660:
661: =back
662:
663: =head1 OTHER SUBROUTINES
664:
665: =over 4
666:
667: =item *
668:
669: euclid() : Euclid's method for determining the greatest common denominator.
670:
671: =item *
672:
673: tracetable() : Build page table.
674:
675: =back
676:
677: =cut
678:
679:
680:
681:
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