2 // This function fetches math. images from the data directory
3 // If not, it obtains the corresponding TeX expression from the cache_tex db table
4 // and uses mimeTeX to create the image file
6 require_once("../../config.php");
8 if (!filter_is_enabled('algebra')) {
9 throw new \
moodle_exception('filternotenabled');
12 require_once($CFG->libdir
.'/filelib.php');
13 require_once($CFG->dirroot
.'/filter/tex/lib.php');
15 $action = optional_param('action', '', PARAM_ALPHANUM
);
16 $algebra = optional_param('algebra', '', PARAM_RAW
);
19 require_capability('moodle/site:config', context_system
::instance());
20 if ($action ||
$algebra) {
24 if ($algebra && $action) {
26 if ($action == 'ShowDB' ||
$action == 'DeleteDB') {
27 $texcache = $DB->get_record("cache_filters", array("filter"=>"algebra", "md5key"=>$md5));
29 if ($action == 'ShowDB') {
31 $output = "DB cache_filters entry for $algebra\n";
32 $output .= "id = $texcache->id\n";
33 $output .= "filter = $texcache->filter\n";
34 $output .= "version = $texcache->version\n";
35 $output .= "md5key = $texcache->md5key\n";
36 $output .= "rawtext = $texcache->rawtext\n";
37 $output .= "timemodified = $texcache->timemodified\n";
39 $output = "DB cache_filters entry for $algebra not found\n";
42 if ($action == 'DeleteDB') {
44 $output = "Deleting DB cache_filters entry for $algebra\n";
45 $result = $DB->delete_records("cache_filters", array("id"=>$texcache->id
));
51 $output .= "Number of records deleted = $result\n";
53 $output = "Could not delete DB cache_filters entry for $algebra\nbecause it could not be found.\n";
56 if ($action == 'TeXStage1') {
57 $output = algebra2tex($algebra);
59 if ($action == 'TexStage2') {
60 $output = algebra2tex($algebra);
61 $output = refineTeX($output);
63 if ($action == 'ShowImage'||
$action == 'SlashArguments') {
64 $output = algebra2tex($algebra);
65 $output = refineTeX($output);
66 if ($action == 'ShowImage') {
67 tex2image($output, $md5);
69 slasharguments($output, $md5);
77 function algebra2tex($algebra) {
79 $algebra = str_replace('<','<',$algebra);
80 $algebra = str_replace('>','>',$algebra);
81 $algebra = str_replace('<>','#',$algebra);
82 $algebra = str_replace('<=','%',$algebra);
83 $algebra = str_replace('>=','!',$algebra);
84 $algebra = preg_replace('/([=><%!#] *)-/',"\$1 zeroplace -",$algebra);
85 $algebra = str_replace('delta','zdelta',$algebra);
86 $algebra = str_replace('beta','bita',$algebra);
87 $algebra = str_replace('theta','thita',$algebra);
88 $algebra = str_replace('zeta','zita',$algebra);
89 $algebra = str_replace('eta','xeta',$algebra);
90 $algebra = str_replace('epsilon','zepslon',$algebra);
91 $algebra = str_replace('upsilon','zupslon',$algebra);
92 $algebra = preg_replace('!\r\n?!',' ',$algebra);
93 $algebra = escapeshellarg($algebra);
95 if ( (PHP_OS
== "WINNT") ||
(PHP_OS
== "WIN32") ||
(PHP_OS
== "Windows") ) {
96 $cmd = "cd $CFG->dirroot\\filter\\algebra & algebra2tex.pl x/2";
98 if ($test != '\frac{x}{2}') {
99 echo "There is a problem with either Perl or the script algebra2tex.pl<br/>";
100 $ecmd = $cmd . " 2>&1";
101 echo `
$ecmd`
. "<br/>\n";
102 echo "The shell command<br/>$cmd<br/>returned status = $status<br/>\n";
103 $commandpath = "$CFG->dirroot\\filter\\algebra\\algebra2tex.pl";
104 if (file_exists($commandpath)) {
105 echo "The file permissions of algebra2tex.pl are: " . decoct(fileperms($commandpath)) . "<br/>";
109 $cmd = "cd $CFG->dirroot\\filter\\algebra & algebra2tex.pl $algebra";
111 $cmd = "cd $CFG->dirroot/filter/algebra; ./algebra2tex.pl x/2";
113 if ($test != '\frac{x}{2}') {
114 echo "There is a problem with either Perl or the script algebra2tex.pl<br/>";
115 $ecmd = $cmd . " 2>&1";
116 echo `
$ecmd`
. "<br/>\n";
117 echo "The shell command<br/>$cmd<br/>returned status = $status<br/>\n";
118 $commandpath = "$CFG->dirroot/filter/algebra/algebra2tex.pl";
119 if (file_exists($commandpath)) {
120 echo "The file permissions of algebra2tex.pl are: " . decoct(fileperms($commandpath)) . "<br/>";
124 $cmd = "cd $CFG->dirroot/filter/algebra; ./algebra2tex.pl $algebra";
130 function refineTeX($texexp) {
131 $texexp = str_replace('zeroplace','',$texexp);
132 $texexp = str_replace('#','\not= ',$texexp);
133 $texexp = str_replace('%','\leq ',$texexp);
134 $texexp = str_replace('!','\geq ',$texexp);
135 $texexp = str_replace('\left{','{',$texexp);
136 $texexp = str_replace('\right}','}',$texexp);
137 $texexp = str_replace('\fun',' ',$texexp);
138 $texexp = str_replace('infty','\infty',$texexp);
139 $texexp = str_replace('alpha','\alpha',$texexp);
140 $texexp = str_replace('gamma','\gamma',$texexp);
141 $texexp = str_replace('iota','\iota',$texexp);
142 $texexp = str_replace('kappa','\kappa',$texexp);
143 $texexp = str_replace('lambda','\lambda',$texexp);
144 $texexp = str_replace('mu','\mu',$texexp);
145 $texexp = str_replace('nu','\nu',$texexp);
146 $texexp = str_replace('xi','\xi',$texexp);
147 $texexp = str_replace('rho','\rho',$texexp);
148 $texexp = str_replace('sigma','\sigma',$texexp);
149 $texexp = str_replace('tau','\tau',$texexp);
150 $texexp = str_replace('phi','\phi',$texexp);
151 $texexp = str_replace('chi','\chi',$texexp);
152 $texexp = str_replace('psi','\psi',$texexp);
153 $texexp = str_replace('omega','\omega',$texexp);
154 $texexp = str_replace('zdelta','\delta',$texexp);
155 $texexp = str_replace('bita','\beta',$texexp);
156 $texexp = str_replace('thita','\theta',$texexp);
157 $texexp = str_replace('zita','\zeta',$texexp);
158 $texexp = str_replace('xeta','\eta',$texexp);
159 $texexp = str_replace('zepslon','\epsilon',$texexp);
160 $texexp = str_replace('zupslon','\upsilon',$texexp);
161 $texexp = str_replace('\mbox{logten}','\mbox{log}_{10}',$texexp);
162 $texexp = str_replace('\mbox{acos}','\mbox{cos}^{-1}',$texexp);
163 $texexp = str_replace('\mbox{asin}','\mbox{sin}^{-1}',$texexp);
164 $texexp = str_replace('\mbox{atan}','\mbox{tan}^{-1}',$texexp);
165 $texexp = str_replace('\mbox{asec}','\mbox{sec}^{-1}',$texexp);
166 $texexp = str_replace('\mbox{acsc}','\mbox{csc}^{-1}',$texexp);
167 $texexp = str_replace('\mbox{acot}','\mbox{cot}^{-1}',$texexp);
168 $texexp = str_replace('\mbox{acosh}','\mbox{cosh}^{-1}',$texexp);
169 $texexp = str_replace('\mbox{asinh}','\mbox{sinh}^{-1}',$texexp);
170 $texexp = str_replace('\mbox{atanh}','\mbox{tanh}^{-1}',$texexp);
171 $texexp = str_replace('\mbox{asech}','\mbox{sech}^{-1}',$texexp);
172 $texexp = str_replace('\mbox{acsch}','\mbox{csch}^{-1}',$texexp);
173 $texexp = str_replace('\mbox{acoth}','\mbox{coth}^{-1}',$texexp);
174 $texexp = preg_replace('/\\\sqrt{(.+?),(.+?)}/s','\sqrt['. "\$2]{\$1}",$texexp);
175 $texexp = preg_replace('/\\\mbox{abs}\\\left\((.+?)\\\right\)/s',"|\$1|",$texexp);
176 $texexp = preg_replace('/\\\log\\\left\((.+?),(.+?)\\\right\)/s','\log_{'. "\$2}\\left(\$1\\right)",$texexp);
177 $texexp = preg_replace('/(\\\cos|\\\sin|\\\tan|\\\sec|\\\csc|\\\cot)([h]*)\\\left\((.+?),(.+?)\\\right\)/s',"\$1\$2^{". "\$4}\\left(\$3\\right)",$texexp);
178 $texexp = preg_replace('/\\\int\\\left\((.+?),(.+?),(.+?)\\\right\)/s','\int_'. "{\$2}^{\$3}\$1 ",$texexp);
179 $texexp = preg_replace('/\\\int\\\left\((.+?d[a-z])\\\right\)/s','\int '. "\$1 ",$texexp);
180 $texexp = preg_replace('/\\\lim\\\left\((.+?),(.+?),(.+?)\\\right\)/s','\lim_'. "{\$2\\to \$3}\$1 ",$texexp);
184 function outputText($texexp) {
185 header("Content-type: text/html; charset=utf-8");
186 echo "<html><body><pre>\n";
188 $texexp = str_replace('<','<',$texexp);
189 $texexp = str_replace('>','>',$texexp);
190 $texexp = str_replace('"','"',$texexp);
193 echo "No text output available\n\n";
195 echo "</pre></body></html>\n";
198 function tex2image($texexp, $md5, $return=false) {
202 echo 'No tex expresion specified';
206 $texexp = '\Large ' . $texexp;
207 $image = $md5 . ".gif";
208 $filetype = 'image/gif';
209 if (!file_exists("$CFG->dataroot/filter/algebra")) {
210 make_upload_directory("filter/algebra");
212 $pathname = "$CFG->dataroot/filter/algebra/$image";
213 if (file_exists($pathname)) {
216 $commandpath = filter_tex_get_executable(true);
217 $cmd = filter_tex_get_cmd($pathname, $texexp);
218 system($cmd, $status);
223 if (file_exists($pathname)) {
224 send_file($pathname, $image);
228 echo `
$ecmd`
. "<br />\n";
229 echo "The shell command<br />$cmd<br />returned status = $status<br />\n";
231 echo "Status corresponds to illegal instruction<br />\n";
232 } else if ($status == 11) {
233 echo "Status corresponds to bus error<br />\n";
234 } else if ($status == 22) {
235 echo "Status corresponds to abnormal termination<br />\n";
237 if (file_exists($commandpath)) {
238 echo "File size of mimetex executable $commandpath is " . filesize($commandpath) . "<br />";
239 echo "The file permissions are: " . decoct(fileperms($commandpath)) . "<br />";
240 if (function_exists("md5_file")) {
241 echo "The md5 checksum of the file is " . md5_file($commandpath) . "<br />";
243 $handle = fopen($commandpath,"rb");
244 $contents = fread($handle,16384);
246 echo "The md5 checksum of the first 16384 bytes is " . md5($contents) . "<br />";
249 echo "mimetex executable $commandpath not found!<br />";
251 echo "Image not found!";
255 function slasharguments($texexp, $md5) {
257 $admin = $CFG->wwwroot
.'/'.$CFG->admin
.'/settings.php?section=http';
258 $image = tex2image($texexp,$md5,true);
259 echo "<p>If the following image displays correctly, set your ";
260 echo "<a href=\"$admin\" target=\"_blank\">Administration->Server->HTTP</a> ";
261 echo "setting for slasharguments to file.php/1/pic.jpg: ";
262 echo "<img src=\"pix.php/$image\" align=\"absmiddle\"></p>\n";
263 echo "<p>Otherwise set it to file.php?file=/1/pic.jpg ";
264 echo "It should display correctly as ";
265 echo "<img src=\"pix.php?file=$image\" align=\"absmiddle\"></p>\n";
266 echo "<p>If neither equation image displays correctly, please seek ";
267 echo "further help at moodle.org at the ";
268 echo "<a href=\"http://moodle.org/mod/forum/view.php?id=752&loginguest=true\" target=\"_blank\">";
269 echo "Mathematics Tools Forum</a></p>";
275 <head
><title
>Algebra Filter Debugger
</title
></head
>
277 <p
>Please enter an algebraic expression
<b
>without
</b
> any surrounding
@@ into
278 the text box below
. (Click
<a href
="#help">here
for help
.</a
>)
279 <form action
="algebradebug.php" method
="get"
280 target
="inlineframe">
282 <label
for="algebra" class="accesshide"><?php
print_string('algebraicexpression', 'filter_algebra'); ?
></label
>
283 <input type
="text" id
="algebra" name
="algebra" size
="50"
284 value
="sin(z)/(x^2+y^2)" />
287 <li
>First click on this button
<button type
="submit" name
="action" value
="ShowDB">Show DB Entry
</button
>
288 to see the cache_filters database entry
for this expression
.</li
>
289 <li
>If the database entry looks corrupt
, click on this button to delete it
:
290 <button type
="submit" name
="action" value
="DeleteDB">Delete DB Entry
</button
></li
>
291 <li
>Now click on this button
<button type
="submit" name
="action" value
="TeXStage1">First Stage Tex Translation
</button
>.
292 A preliminary translation into TeX will appear in the box below
.</li
>
293 <li
>Next click on this button
<button type
="submit" name
="action" value
="TexStage2">Second Stage Tex Translation
</button
>.
294 A more refined translation into TeX will appear in the box below
.</li
>
295 <li
>Then click on this button
<button type
="submit" name
="action" value
="ShowImage">Show Image
</button
>
296 to show a graphic image of the algebraic expression
.</li
>
297 <li
>Finally check your slash arguments setting
298 <button type
="submit" name
="action" value
="SlashArguments">Check Slash Arguments
</button
></li
>
300 <input type
="hidden" name
="sesskey" value
="<?php echo sesskey(); ?>" />
301 </form
> <br
/> <br
/>
303 <iframe name
="inlineframe" align
="middle" width
="80%" height
="200">
304 <
;p
>
;Something is wrong
...<
;/p
>
;
309 <h2
>Debugging Help
</h2
>
311 <p
>First here is a brief overview on how the algebra filter works
. It
312 takes an algebra expression
and first translates it into TeX
. It first
313 looks
for the TeX translation in the Moodle database in the table cache_filters
314 in the field rawtext
. If not found
, it passes the algebraic expression to the
315 Perl script algebra2tex
.pl
, which also uses the Perl library AlgParser
.pm
.
316 It then saves the TeX translation in the database
for subsequent uses
and
317 passes the TeX to the mimetex executable to be converted to a gif image
.
318 Here are a few common things that can go wrong
and some suggestions on how
319 you might
try to fix them
.</p
>
321 <li
>Something had gone wrong on a previous occasion when the filter tried to
322 translate this expression
. Then the database entry
for that expression contains
323 a bad TeX translation in the rawtext
field (usually blank
). You can fix this
324 by clicking on
"
;Delete DB Entry
"
;</li
>
325 <li
>The First Stage TeX Translation gives a
"
;No text output available
"
;
326 message
. If your server is running Windows
, this may be due to the fact that
327 you haven
't installed Perl or didn't install it correctly
. If your server is
328 running some version of
Unix (e
.g
. Linux
), then this may be due to your Perl
329 binary being installed in a nonstandard location
. To fix this edit the first
330 line of the algebra2tex
.pl script
. Another possible problem which may affect
331 both Unix
and Windows servers is that the web server doesn
't have execute permission
332 on the algebra2tex.pl script. In that case change permissions accordingly</li>
333 <li>The Second Stage TeX Translation produces malformed TeX. This indicates
334 a bug in the algebra filter. Post the original algebraic expression and the
335 bad TeX translation in the <a href="http://moodle.org/mod/forum/view.php?id=752">
336 Mathematics Tools</a> forum in the Using Moodle course on moodle.org.</li>
337 <li>The TeX to gif image conversion process does not work. If your server is
338 running Unix, a likely cause is that the mimetex binary you are using is
339 incompatible with your operating system. You can try compiling it from the
340 C sources downloaded from <a href="http://www.forkosh.com/mimetex.zip">
341 http://www.forkosh.com/mimetex.zip</a>. Lastly check the execute permissions
342 on your mimetex binary, as outlined in item 2 above.</li>