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1 /** The math parser
2     \author André Pönitz (2001)
3  */
4
5 /*
6
7 If someone desperately needs partial "structures" (such as a few
8 cells of an array inset or similar) (s)he could uses the
9 following hack as starting point to write some macros:
10
11   \newif\ifcomment
12   \commentfalse
13   \ifcomment
14           \def\makeamptab{\catcode`\&=4\relax}
15           \def\makeampletter{\catcode`\&=11\relax}
16     \def\b{\makeampletter\expandafter\makeamptab\bi}
17     \long\def\bi#1\e{}
18   \else
19     \def\b{}\def\e{}
20   \fi
21
22   ...
23
24   \[\begin{array}{ccc}
25 1
26 &
27
28   \end{array}\]
29
30 */
31
32
33 #include <config.h>
34
35
36 #include "math_parser.h"
37 #include "math_inset.h"
38 #include "math_arrayinset.h"
39 #include "math_braceinset.h"
40 #include "math_boxinset.h"
41 #include "math_charinset.h"
42 #include "math_commentinset.h"
43 #include "math_deliminset.h"
44 #include "math_envinset.h"
45 #include "math_extern.h"
46 #include "math_factory.h"
47 #include "math_kerninset.h"
48 #include "math_macro.h"
49 #include "math_macrotemplate.h"
50 #include "math_hullinset.h"
51 #include "math_parboxinset.h"
52 #include "math_parinset.h"
53 #include "math_rootinset.h"
54 #include "math_scriptinset.h"
55 #include "math_sizeinset.h"
56 #include "math_sqrtinset.h"
57 #include "math_stringinset.h"
58 #include "math_support.h"
59 #include "math_tabularinset.h"
60 #include "math_xyarrowinset.h"
61
62 //#include "insets/insetref.h"
63 #include "ref_inset.h"
64
65 #include "lyxlex.h"
66 #include "debug.h"
67 #include "support/LAssert.h"
68 #include "support/lstrings.h"
69
70 #include <cctype>
71 #include <algorithm>
72
73 using std::istream;
74 using std::ostream;
75 using std::ios;
76 using std::endl;
77 using std::fill;
78 using std::vector;
79 using std::atoi;
80
81
82 //#define FILEDEBUG
83
84
85 namespace {
86
87 MathInset::mode_type asMode(MathInset::mode_type oldmode, string const & str)
88 {
89         lyxerr << "handling mode: '" << str << "'\n";
90         if (str == "mathmode")
91                 return MathInset::MATH_MODE;
92         if (str == "textmode" || str == "forcetext")
93                 return MathInset::TEXT_MODE;
94         return oldmode;
95 }
96
97
98 bool stared(string const & s)
99 {
100         string::size_type const n = s.size();
101         return n && s[n - 1] == '*';
102 }
103
104
105 // These are TeX's catcodes
106 enum CatCode {
107         catEscape,     // 0    backslash
108         catBegin,      // 1    {
109         catEnd,        // 2    }
110         catMath,       // 3    $
111         catAlign,      // 4    &
112         catNewline,    // 5    ^^M
113         catParameter,  // 6    #
114         catSuper,      // 7    ^
115         catSub,        // 8    _
116         catIgnore,     // 9
117         catSpace,      // 10   space
118         catLetter,     // 11   a-zA-Z
119         catOther,      // 12   none of the above
120         catActive,     // 13   ~
121         catComment,    // 14   %
122         catInvalid     // 15   <delete>
123 };
124
125 CatCode theCatcode[256];
126
127
128 inline CatCode catcode(unsigned char c)
129 {
130         return theCatcode[c];
131 }
132
133
134 enum {
135         FLAG_BRACE_LAST = 1 << 1,  //  last closing brace ends the parsing
136         FLAG_RIGHT      = 1 << 2,  //  next \\right ends the parsing process
137         FLAG_END        = 1 << 3,  //  next \\end ends the parsing process
138         FLAG_BRACK_LAST = 1 << 4,  //  next closing bracket ends the parsing
139         FLAG_TEXTMODE   = 1 << 5,  //  we are in a box
140         FLAG_ITEM       = 1 << 6,  //  read a (possibly braced token)
141         FLAG_LEAVE      = 1 << 7,  //  leave the loop at the end
142         FLAG_SIMPLE     = 1 << 8,  //  next $ leaves the loop
143         FLAG_EQUATION   = 1 << 9,  //  next \] leaves the loop
144         FLAG_SIMPLE2    = 1 << 10, //  next \) leaves the loop
145         FLAG_OPTION     = 1 << 11, //  read [...] style option
146         FLAG_BRACED     = 1 << 12  //  read {...} style argument
147 };
148
149
150 void catInit()
151 {
152         fill(theCatcode, theCatcode + 256, catOther);
153         fill(theCatcode + 'a', theCatcode + 'z' + 1, catLetter);
154         fill(theCatcode + 'A', theCatcode + 'Z' + 1, catLetter);
155
156         theCatcode['\\'] = catEscape;
157         theCatcode['{']  = catBegin;
158         theCatcode['}']  = catEnd;
159         theCatcode['$']  = catMath;
160         theCatcode['&']  = catAlign;
161         theCatcode['\n'] = catNewline;
162         theCatcode['#']  = catParameter;
163         theCatcode['^']  = catSuper;
164         theCatcode['_']  = catSub;
165         theCatcode['\7f'] = catIgnore;
166         theCatcode[' ']  = catSpace;
167         theCatcode['\t'] = catSpace;
168         theCatcode['\r'] = catNewline;
169         theCatcode['~']  = catActive;
170         theCatcode['%']  = catComment;
171 }
172
173
174
175 //
176 // Helper class for parsing
177 //
178
179 class Token {
180 public:
181         ///
182         Token() : cs_(), char_(0), cat_(catIgnore) {}
183         ///
184         Token(char c, CatCode cat) : cs_(), char_(c), cat_(cat) {}
185         ///
186         Token(string const & cs) : cs_(cs), char_(0), cat_(catIgnore) {}
187
188         ///
189         string const & cs() const { return cs_; }
190         ///
191         CatCode cat() const { return cat_; }
192         ///
193         char character() const { return char_; }
194         ///
195         string asString() const { return cs_.size() ? cs_ : string(1, char_); }
196
197 private:
198         ///
199         string cs_;
200         ///
201         char char_;
202         ///
203         CatCode cat_;
204 };
205
206 ostream & operator<<(ostream & os, Token const & t)
207 {
208         if (t.cs().size())
209                 os << '\\' << t.cs();
210         else if (t.cat() == catLetter)
211                 os << t.character();
212         else
213                 os << '[' << t.character() << ',' << t.cat() << ']';
214         return os;
215 }
216
217
218 class Parser {
219
220 public:
221         ///
222         typedef  MathInset::mode_type mode_type;
223
224         ///
225         Parser(LyXLex & lex);
226         ///
227         Parser(istream & is);
228
229         ///
230         bool parse(MathAtom & at);
231         ///
232         void parse(MathArray & array, unsigned flags, mode_type mode);
233         ///
234         void parse1(MathGridInset & grid, unsigned flags, mode_type mode,
235                 bool numbered);
236         ///
237         MathArray parse(unsigned flags, mode_type mode);
238         ///
239         int lineno() const { return lineno_; }
240         ///
241         void putback();
242
243 private:
244         ///
245         void parse2(MathAtom & at, unsigned flags, mode_type mode, bool numbered);
246         /// get arg delimited by 'left' and 'right'
247         string getArg(char left, char right);
248         ///
249         char getChar();
250         ///
251         void error(string const & msg);
252         /// dump contents to screen
253         void dump() const;
254         ///
255         void tokenize(istream & is);
256         ///
257         void tokenize(string const & s);
258         ///
259         void skipSpaceTokens(istream & is, char c);
260         ///
261         void push_back(Token const & t);
262         ///
263         void pop_back();
264         ///
265         Token const & prevToken() const;
266         ///
267         Token const & nextToken() const;
268         ///
269         Token const & getToken();
270         /// skips spaces if any
271         void skipSpaces();
272         ///
273         void lex(string const & s);
274         ///
275         bool good() const;
276         ///
277         string parse_verbatim_item();
278         ///
279         string parse_verbatim_option();
280
281         ///
282         int lineno_;
283         ///
284         vector<Token> tokens_;
285         ///
286         unsigned pos_;
287 };
288
289
290 Parser::Parser(LyXLex & lexer)
291         : lineno_(lexer.getLineNo()), pos_(0)
292 {
293         tokenize(lexer.getStream());
294         lexer.eatLine();
295 }
296
297
298 Parser::Parser(istream & is)
299         : lineno_(0), pos_(0)
300 {
301         tokenize(is);
302 }
303
304
305 void Parser::push_back(Token const & t)
306 {
307         tokens_.push_back(t);
308 }
309
310
311 void Parser::pop_back()
312 {
313         tokens_.pop_back();
314 }
315
316
317 Token const & Parser::prevToken() const
318 {
319         static const Token dummy;
320         return pos_ > 0 ? tokens_[pos_ - 1] : dummy;
321 }
322
323
324 Token const & Parser::nextToken() const
325 {
326         static const Token dummy;
327         return good() ? tokens_[pos_] : dummy;
328 }
329
330
331 Token const & Parser::getToken()
332 {
333         static const Token dummy;
334         //lyxerr << "looking at token " << tokens_[pos_] << " pos: " << pos_ << '\n';
335         return good() ? tokens_[pos_++] : dummy;
336 }
337
338
339 void Parser::skipSpaces()
340 {
341         while (nextToken().cat() == catSpace || nextToken().cat() == catNewline)
342                 getToken();
343 }
344
345
346 void Parser::putback()
347 {
348         --pos_;
349 }
350
351
352 bool Parser::good() const
353 {
354         return pos_ < tokens_.size();
355 }
356
357
358 char Parser::getChar()
359 {
360         if (!good())
361                 error("The input stream is not well...");
362         return tokens_[pos_++].character();
363 }
364
365
366 string Parser::getArg(char left, char right)
367 {
368         skipSpaces();
369
370         string result;
371         char c = getChar();
372
373         if (c != left)
374                 putback();
375         else
376                 while ((c = getChar()) != right && good())
377                         result += c;
378
379         return result;
380 }
381
382
383 void Parser::skipSpaceTokens(istream & is, char c)
384 {
385         // skip trailing spaces
386         while (catcode(c) == catSpace || catcode(c) == catNewline)
387                 if (!is.get(c))
388                         break;
389         //lyxerr << "putting back: " << c << "\n";
390         is.putback(c);
391 }
392
393
394 void Parser::tokenize(istream & is)
395 {
396         // eat everything up to the next \end_inset or end of stream
397         // and store it in s for further tokenization
398         string s;
399         char c;
400         while (is.get(c)) {
401                 s += c;
402                 if (s.size() >= 10 && s.substr(s.size() - 10) == "\\end_inset") {
403                         s = s.substr(0, s.size() - 10);
404                         break;
405                 }
406         }
407         // Remove the space after \end_inset
408         if (is.get(c) && c != ' ')
409                 is.unget();
410
411         // tokenize buffer
412         tokenize(s);
413 }
414
415
416 void Parser::tokenize(string const & buffer)
417 {
418         static bool init_done = false;
419
420         if (!init_done) {
421                 catInit();
422                 init_done = true;
423         }
424
425         istringstream is(buffer.c_str(), ios::in | ios::binary);
426
427         char c;
428         while (is.get(c)) {
429                 //lyxerr << "reading c: " << c << "\n";
430
431                 switch (catcode(c)) {
432                         case catNewline: {
433                                 ++lineno_;
434                                 is.get(c);
435                                 if (catcode(c) == catNewline)
436                                         ; //push_back(Token("par"));
437                                 else {
438                                         push_back(Token('\n', catNewline));
439                                         is.putback(c);
440                                 }
441                                 break;
442                         }
443
444 /*
445                         case catComment: {
446                                 while (is.get(c) && catcode(c) != catNewline)
447                                         ;
448                                 ++lineno_;
449                                 break;
450                         }
451 */
452
453                         case catEscape: {
454                                 is.get(c);
455                                 if (!is) {
456                                         error("unexpected end of input");
457                                 } else {
458                                         string s(1, c);
459                                         if (catcode(c) == catLetter) {
460                                                 // collect letters
461                                                 while (is.get(c) && catcode(c) == catLetter)
462                                                         s += c;
463                                                 skipSpaceTokens(is, c);
464                                         }
465                                         push_back(Token(s));
466                                 }
467                                 break;
468                         }
469
470                         case catSuper:
471                         case catSub: {
472                                 push_back(Token(c, catcode(c)));
473                                 is.get(c);
474                                 skipSpaceTokens(is, c);
475                                 break;
476                         }
477
478                         case catIgnore: {
479                                 lyxerr << "ignoring a char: " << int(c) << "\n";
480                                 break;
481                         }
482
483                         default:
484                                 push_back(Token(c, catcode(c)));
485                 }
486         }
487
488 #ifdef FILEDEBUG
489         dump();
490 #endif
491 }
492
493
494 void Parser::dump() const
495 {
496         lyxerr << "\nTokens: ";
497         for (unsigned i = 0; i < tokens_.size(); ++i) {
498                 if (i == pos_)
499                         lyxerr << " <#> ";
500                 lyxerr << tokens_[i];
501         }
502         lyxerr << " pos: " << pos_ << "\n";
503 }
504
505
506 void Parser::error(string const & msg)
507 {
508         lyxerr << "Line ~" << lineno_ << ": Math parse error: " << msg << endl;
509         dump();
510         //exit(1);
511 }
512
513
514 bool Parser::parse(MathAtom & at)
515 {
516         skipSpaces();
517         MathArray ar;
518         parse(ar, false, MathInset::UNDECIDED_MODE);
519         if (ar.size() != 1 || ar.front()->getType() == "none") {
520                 lyxerr << "unusual contents found: " << ar << endl;
521                 at = MathAtom(new MathParInset(ar));
522                 //if (at->nargs() > 0)
523                 //      at.nucleus()->cell(0) = ar;
524                 //else
525                 //      lyxerr << "unusual contents found: " << ar << endl;
526                 return true;
527         }
528         at = ar[0];
529         return true;
530 }
531
532
533 string Parser::parse_verbatim_option()
534 {
535         skipSpaces();
536         string res;
537         if (nextToken().character() == '[') {
538                 Token t = getToken();
539                 for (Token t = getToken(); t.character() != ']' && good(); t = getToken()) {
540                         if (t.cat() == catBegin) {
541                                 putback();
542                                 res += '{' + parse_verbatim_item() + '}';
543                         } else
544                                 res += t.asString();
545                 }
546         }
547         return res;
548 }
549
550
551 string Parser::parse_verbatim_item()
552 {
553         skipSpaces();
554         string res;
555         if (nextToken().cat() == catBegin) {
556                 Token t = getToken();
557                 for (Token t = getToken(); t.cat() != catEnd && good(); t = getToken()) {
558                         if (t.cat() == catBegin) {
559                                 putback();
560                                 res += '{' + parse_verbatim_item() + '}';
561                         }
562                         else
563                                 res += t.asString();
564                 }
565         }
566         return res;
567 }
568
569
570 MathArray Parser::parse(unsigned flags, mode_type mode)
571 {
572         MathArray ar;
573         parse(ar, flags, mode);
574         return ar;
575 }
576
577
578 void Parser::parse(MathArray & array, unsigned flags, mode_type mode)
579 {
580         MathGridInset grid(1, 1);
581         parse1(grid, flags, mode, false);
582         array = grid.cell(0);
583 }
584
585
586 void Parser::parse2(MathAtom & at, const unsigned flags, const mode_type mode,
587         const bool numbered)
588 {
589         parse1(*(at.nucleus()->asGridInset()), flags, mode, numbered);
590 }
591
592
593 void Parser::parse1(MathGridInset & grid, unsigned flags,
594         const mode_type mode, const bool numbered)
595 {
596         int limits = 0;
597         MathGridInset::row_type cellrow = 0;
598         MathGridInset::col_type cellcol = 0;
599         MathArray * cell = &grid.cell(grid.index(cellrow, cellcol));
600
601         if (grid.asHullInset())
602                 grid.asHullInset()->numbered(cellrow, numbered);
603
604         //dump();
605         //lyxerr << " flags: " << flags << "\n";
606         //lyxerr << " mode: " << mode  << "\n";
607         //lyxerr << "grid: " << grid << endl;
608
609         while (good()) {
610                 Token const & t = getToken();
611
612 #ifdef FILEDEBUG
613                 lyxerr << "t: " << t << " flags: " << flags << "\n";
614                 lyxerr << "mode: " << mode  << "\n";
615                 cell->dump();
616                 lyxerr << "\n";
617 #endif
618
619                 if (flags & FLAG_ITEM) {
620
621                 if (t.cat() == catBegin) {
622                                 // skip the brace and collect everything to the next matching
623                                 // closing brace
624                                 parse1(grid, FLAG_BRACE_LAST, mode, numbered);
625                                 return;
626                         }
627
628                         // handle only this single token, leave the loop if done
629                         flags = FLAG_LEAVE;
630                 }
631
632
633                 if (flags & FLAG_BRACED) {
634                         if (t.cat() == catSpace)
635                                 continue;
636
637                         if (t.cat() != catBegin) {
638                                 error("opening brace expected");
639                                 return;
640                         }
641
642                         // skip the brace and collect everything to the next matching
643                         // closing brace
644                         flags = FLAG_BRACE_LAST;
645                 }
646
647
648                 if (flags & FLAG_OPTION) {
649                         if (t.cat() == catOther && t.character() == '[') {
650                                 MathArray ar;
651                                 parse(ar, FLAG_BRACK_LAST, mode);
652                                 cell->append(ar);
653                         } else {
654                                 // no option found, put back token and we are done
655                                 putback();
656                         }
657                         return;
658                 }
659
660                 //
661                 // cat codes
662                 //
663                 if (t.cat() == catMath) {
664                         if (mode != MathInset::MATH_MODE) {
665                                 // we are inside some text mode thingy, so opening new math is allowed
666                                 Token const & n = getToken();
667                                 if (n.cat() == catMath) {
668                                         // TeX's $$...$$ syntax for displayed math
669                                         cell->push_back(MathAtom(new MathHullInset("equation")));
670                                         parse2(cell->back(), FLAG_SIMPLE, MathInset::MATH_MODE, false);
671                                         getToken(); // skip the second '$' token
672                                 } else {
673                                         // simple $...$  stuff
674                                         putback();
675                                         cell->push_back(MathAtom(new MathHullInset("simple")));
676                                         parse2(cell->back(), FLAG_SIMPLE, MathInset::MATH_MODE, false);
677                                 }
678                         }
679
680                         else if (flags & FLAG_SIMPLE) {
681                                 // this is the end of the formula
682                                 return;
683                         }
684
685                         else {
686                                 error("something strange in the parser\n");
687                                 break;
688                         }
689                 }
690
691                 else if (t.cat() == catLetter)
692                         cell->push_back(MathAtom(new MathCharInset(t.character())));
693
694                 else if (t.cat() == catSpace && mode != MathInset::MATH_MODE) {
695                         if (cell->empty() || cell->back()->getChar() != ' ')
696                                 cell->push_back(MathAtom(new MathCharInset(t.character())));
697                 }
698
699                 else if (t.cat() == catNewline && mode != MathInset::MATH_MODE) {
700                         if (cell->empty() || cell->back()->getChar() != ' ')
701                                 cell->push_back(MathAtom(new MathCharInset(' ')));
702                 }
703
704                 else if (t.cat() == catParameter) {
705                         Token const & n = getToken();
706                         cell->push_back(MathAtom(new MathMacroArgument(n.character()-'0')));
707                 }
708
709                 else if (t.cat() == catActive)
710                         cell->push_back(MathAtom(new MathCharInset(t.character())));
711
712                 else if (t.cat() == catBegin) {
713                         MathArray ar;
714                         parse(ar, FLAG_BRACE_LAST, mode);
715                         // do not create a BraceInset if they were written by LyX
716                         // this helps to keep the annoyance of  "a choose b"  to a minimum
717                         if (ar.size() == 1 && ar[0]->extraBraces())
718                                 cell->append(ar);
719                         else
720                                 cell->push_back(MathAtom(new MathBraceInset(ar)));
721                 }
722
723                 else if (t.cat() == catEnd) {
724                         if (flags & FLAG_BRACE_LAST)
725                                 return;
726                         error("found '}' unexpectedly");
727                         //lyx::Assert(0);
728                         //add(cell, '}', LM_TC_TEX);
729                 }
730
731                 else if (t.cat() == catAlign) {
732                         ++cellcol;
733                         //lyxerr << " column now " << cellcol << " max: " << grid.ncols() << "\n";
734                         if (cellcol == grid.ncols()) {
735                                 //lyxerr << "adding column " << cellcol << "\n";
736                                 grid.addCol(cellcol - 1);
737                         }
738                         cell = &grid.cell(grid.index(cellrow, cellcol));
739                 }
740
741                 else if (t.cat() == catSuper || t.cat() == catSub) {
742                         bool up = (t.cat() == catSuper);
743                         // we need no new script inset if the last thing was a scriptinset,
744                         // which has that script already not the same script already
745                         if (!cell->size())
746                                 cell->push_back(MathAtom(new MathScriptInset(up)));
747                         else if (cell->back()->asScriptInset() &&
748                                         !cell->back()->asScriptInset()->has(up))
749                                 cell->back().nucleus()->asScriptInset()->ensure(up);
750                         else if (cell->back()->asScriptInset())
751                                 cell->push_back(MathAtom(new MathScriptInset(up)));
752                         else
753                                 cell->back() = MathAtom(new MathScriptInset(cell->back(), up));
754                         MathScriptInset * p = cell->back().nucleus()->asScriptInset();
755                         // special handling of {}-bases
756                         // is this always correct?
757                         // It appears that this is wrong (Dekel)
758                         //if (p->nuc().size() == 1 && p->nuc().back()->asNestInset() &&
759                         //    p->nuc().back()->extraBraces())
760                         //      p->nuc() = p->nuc().back()->asNestInset()->cell(0);
761                         parse(p->cell(up), FLAG_ITEM, mode);
762                         if (limits) {
763                                 p->limits(limits);
764                                 limits = 0;
765                         }
766                 }
767
768                 else if (t.character() == ']' && (flags & FLAG_BRACK_LAST)) {
769                         //lyxerr << "finished reading option\n";
770                         return;
771                 }
772
773                 else if (t.cat() == catOther)
774                         cell->push_back(MathAtom(new MathCharInset(t.character())));
775
776                 else if (t.cat() == catComment) {
777                         string s;
778                         while (good()) {
779                                 Token const & t = getToken();
780                                 if (t.cat() == catNewline)
781                                         break;
782                                 s += t.asString();
783                         }
784                         cell->push_back(MathAtom(new MathCommentInset(s)));
785                         skipSpaces();
786                 }
787
788                 //
789                 // control sequences
790                 //
791
792                 else if (t.cs() == "lyxlock") {
793                         if (cell->size())
794                                 cell->back().nucleus()->lock(true);
795                 }
796
797                 else if (t.cs() == "def" || t.cs() == "newcommand") {
798                         string name;
799                         int nargs = 0;
800                         if (t.cs() == "def") {
801                                 // get name
802                                 name = getToken().cs();
803
804                                 // read parameter
805                                 string pars;
806                                 while (good() && nextToken().cat() != catBegin) {
807                                         pars += getToken().cs();
808                                         ++nargs;
809                                 }
810                                 nargs /= 2;
811                                 //lyxerr << "read \\def parameter list '" << pars << "'\n";
812
813                         } else { // t.cs() == "newcommand"
814
815                                 if (getToken().cat() != catBegin) {
816                                         error("'{' in \\newcommand expected (1) \n");
817                                         return;
818                                 }
819
820                                 name = getToken().cs();
821
822                                 if (getToken().cat() != catEnd) {
823                                         error("'}' in \\newcommand expected\n");
824                                         return;
825                                 }
826
827                                 string arg  = getArg('[', ']');
828                                 if (!arg.empty())
829                                         nargs = atoi(arg.c_str());
830
831                         }
832
833                         MathArray ar1;
834                         parse(ar1, FLAG_ITEM, MathInset::UNDECIDED_MODE);
835
836                         // we cannot handle recursive stuff at all
837                         //MathArray test;
838                         //test.push_back(createMathInset(name));
839                         //if (ar1.contains(test)) {
840                         //      error("we cannot handle recursive macros at all.\n");
841                         //      return;
842                         //}
843
844                         // is a version for display attached?
845                         skipSpaces();
846                         MathArray ar2;
847                         if (nextToken().cat() == catBegin)
848                                 parse(ar2, FLAG_ITEM, MathInset::MATH_MODE);
849
850                         cell->push_back(MathAtom(new MathMacroTemplate(name, nargs, ar1, ar2)));
851                 }
852
853                 else if (t.cs() == "(") {
854                         cell->push_back(MathAtom(new MathHullInset("simple")));
855                         parse2(cell->back(), FLAG_SIMPLE2, MathInset::MATH_MODE, false);
856                 }
857
858                 else if (t.cs() == "[") {
859                         cell->push_back(MathAtom(new MathHullInset("equation")));
860                         parse2(cell->back(), FLAG_EQUATION, MathInset::MATH_MODE, false);
861                 }
862
863                 else if (t.cs() == "protect")
864                         // ignore \\protect, will hopefully be re-added during output
865                         ;
866
867                 else if (t.cs() == "end") {
868                         if (flags & FLAG_END) {
869                                 // eat environment name
870                                 //string const name =
871                                 getArg('{', '}');
872                                 // FIXME: check that we ended the correct environment
873                                 return;
874                         }
875                         error("found 'end' unexpectedly");
876                 }
877
878                 else if (t.cs() == ")") {
879                         if (flags & FLAG_SIMPLE2)
880                                 return;
881                         error("found '\\)' unexpectedly");
882                 }
883
884                 else if (t.cs() == "]") {
885                         if (flags & FLAG_EQUATION)
886                                 return;
887                         error("found '\\]' unexpectedly");
888                 }
889
890                 else if (t.cs() == "\\") {
891                         grid.vcrskip(LyXLength(getArg('[', ']')), cellrow);
892                         ++cellrow;
893                         cellcol = 0;
894                         if (cellrow == grid.nrows())
895                                 grid.addRow(cellrow - 1);
896                         if (grid.asHullInset())
897                                 grid.asHullInset()->numbered(cellrow, numbered);
898                         cell = &grid.cell(grid.index(cellrow, cellcol));
899                 }
900
901 #if 0
902                 else if (t.cs() == "multicolumn") {
903                         // extract column count and insert dummy cells
904                         MathArray count;
905                         parse(count, FLAG_ITEM, mode);
906                         int cols = 1;
907                         if (!extractNumber(count, cols)) {
908                                 lyxerr << " can't extract number of cells from " << count << "\n";
909                         }
910                         // resize the table if necessary
911                         for (int i = 0; i < cols; ++i) {
912                                 ++cellcol;
913                                 if (cellcol == grid.ncols()) {
914                                         //lyxerr << "adding column " << cellcol << "\n";
915                                         grid.addCol(cellcol - 1);
916                                 }
917                                 cell = &grid.cell(grid.index(cellrow, cellcol));
918                                 // mark this as dummy
919                                 grid.cellinfo(grid.index(cellrow, cellcol)).dummy_ = true;
920                         }
921                         // the last cell is the real thng, not a dummy
922                         grid.cellinfo(grid.index(cellrow, cellcol)).dummy_ = false;
923
924                         // read special alignment
925                         MathArray align;
926                         parse(align, FLAG_ITEM, mode);
927                         //grid.cellinfo(grid.index(cellrow, cellcol)).align_ = extractString(align);
928
929                         // parse the remaining contents into the "real" cell
930                         parse(*cell, FLAG_ITEM, mode);
931                 }
932 #endif
933
934                 else if (t.cs() == "limits")
935                         limits = 1;
936
937                 else if (t.cs() == "nolimits")
938                         limits = -1;
939
940                 else if (t.cs() == "nonumber") {
941                         if (grid.asHullInset())
942                                 grid.asHullInset()->numbered(cellrow, false);
943                 }
944
945                 else if (t.cs() == "number") {
946                         if (grid.asHullInset())
947                                 grid.asHullInset()->numbered(cellrow, true);
948                 }
949
950                 else if (t.cs() == "hline") {
951                         grid.rowinfo(cellrow).lines_ ++;
952                 }
953
954                 else if (t.cs() == "sqrt") {
955                         MathArray ar;
956                         parse(ar, FLAG_OPTION, mode);
957                         if (ar.size()) {
958                                 cell->push_back(MathAtom(new MathRootInset));
959                                 cell->back().nucleus()->cell(0) = ar;
960                                 parse(cell->back().nucleus()->cell(1), FLAG_ITEM, mode);
961                         } else {
962                                 cell->push_back(MathAtom(new MathSqrtInset));
963                                 parse(cell->back().nucleus()->cell(0), FLAG_ITEM, mode);
964                         }
965                 }
966
967                 else if (t.cs() == "xrightarrow" || t.cs() == "xleftarrow") {
968                         cell->push_back(createMathInset(t.cs()));
969                         parse(cell->back().nucleus()->cell(1), FLAG_OPTION, mode);
970                         parse(cell->back().nucleus()->cell(0), FLAG_ITEM, mode);
971                 }
972
973                 else if (t.cs() == "ref" || t.cs() == "prettyref" ||
974                                 t.cs() == "pageref" || t.cs() == "vpageref" || t.cs() == "vref") {
975                         cell->push_back(MathAtom(new RefInset(t.cs())));
976                         parse(cell->back().nucleus()->cell(1), FLAG_OPTION, mode);
977                         parse(cell->back().nucleus()->cell(0), FLAG_ITEM, mode);
978                 }
979
980                 else if (t.cs() == "left") {
981                         skipSpaces();
982                         string l = getToken().asString();
983                         MathArray ar;
984                         parse(ar, FLAG_RIGHT, mode);
985                         skipSpaces();
986                         string r = getToken().asString();
987                         cell->push_back(MathAtom(new MathDelimInset(l, r, ar)));
988                 }
989
990                 else if (t.cs() == "right") {
991                         if (flags & FLAG_RIGHT)
992                                 return;
993                         //lyxerr << "got so far: '" << cell << "'\n";
994                         error("Unmatched right delimiter");
995                         return;
996                 }
997
998                 else if (t.cs() == "begin") {
999                         string const name = getArg('{', '}');
1000
1001                         if (name == "array" || name == "subarray") {
1002                                 string const valign = parse_verbatim_option() + 'c';
1003                                 string const halign = parse_verbatim_item();
1004                                 cell->push_back(MathAtom(new MathArrayInset(name, valign[0], halign)));
1005                                 parse2(cell->back(), FLAG_END, mode, false);
1006                         }
1007
1008                         else if (name == "tabular") {
1009                                 string const valign = parse_verbatim_option() + 'c';
1010                                 string const halign = parse_verbatim_item();
1011                                 cell->push_back(MathAtom(new MathTabularInset(name, valign[0], halign)));
1012                                 parse2(cell->back(), FLAG_END, MathInset::TEXT_MODE, false);
1013                         }
1014
1015                         else if (name == "split" || name == "cases" ||
1016                                          name == "gathered" || name == "aligned") {
1017                                 cell->push_back(createMathInset(name));
1018                                 parse2(cell->back(), FLAG_END, mode, false);
1019                         }
1020
1021                         else if (name == "math") {
1022                                 cell->push_back(MathAtom(new MathHullInset("simple")));
1023                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, true);
1024                         }
1025
1026                         else if (name == "equation" || name == "equation*"
1027                                         || name == "displaymath") {
1028                                 cell->push_back(MathAtom(new MathHullInset("equation")));
1029                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, (name == "equation"));
1030                         }
1031
1032                         else if (name == "eqnarray" || name == "eqnarray*") {
1033                                 cell->push_back(MathAtom(new MathHullInset("eqnarray")));
1034                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, !stared(name));
1035                         }
1036
1037                         else if (name == "align" || name == "align*") {
1038                                 cell->push_back(MathAtom(new MathHullInset("align")));
1039                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, !stared(name));
1040                         }
1041
1042                         else if (name == "flalign" || name == "flalign*") {
1043                                 cell->push_back(MathAtom(new MathHullInset("flalign")));
1044                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, !stared(name));
1045                         }
1046
1047                         else if (name == "alignat" || name == "alignat*") {
1048                                 // ignore this for a while
1049                                 getArg('{', '}');
1050                                 cell->push_back(MathAtom(new MathHullInset("alignat")));
1051                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, !stared(name));
1052                         }
1053
1054                         else if (name == "xalignat" || name == "xalignat*") {
1055                                 // ignore this for a while
1056                                 getArg('{', '}');
1057                                 cell->push_back(MathAtom(new MathHullInset("xalignat")));
1058                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, !stared(name));
1059                         }
1060
1061                         else if (name == "xxalignat") {
1062                                 // ignore this for a while
1063                                 getArg('{', '}');
1064                                 cell->push_back(MathAtom(new MathHullInset("xxalignat")));
1065                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, !stared(name));
1066                         }
1067
1068                         else if (name == "multline" || name == "multline*") {
1069                                 cell->push_back(MathAtom(new MathHullInset("multline")));
1070                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, !stared(name));
1071                         }
1072
1073                         else if (name == "gather" || name == "gather*") {
1074                                 cell->push_back(MathAtom(new MathHullInset("gather")));
1075                                 parse2(cell->back(), FLAG_END, MathInset::MATH_MODE, !stared(name));
1076                         }
1077
1078                         else if (latexkeys const * l = in_word_set(name)) {
1079                                 if (l->inset == "matrix") {
1080                                         cell->push_back(createMathInset(name));
1081                                         parse2(cell->back(), FLAG_END, mode, false);
1082                                 }
1083                         }
1084
1085                         else {
1086                                 dump();
1087                                 lyxerr << "found unknown math environment '" << name << "'\n";
1088                                 // create generic environment inset
1089                                 cell->push_back(MathAtom(new MathEnvInset(name)));
1090                                 parse(cell->back().nucleus()->cell(0), FLAG_ITEM, mode);
1091                         }
1092                 }
1093
1094                 else if (t.cs() == "kern") {
1095 #ifdef WITH_WARNINGS
1096 #warning A hack...
1097 #endif
1098                         string s;
1099                         while (true) {
1100                                 Token const & t = getToken();
1101                                 if (!good()) {
1102                                         putback();
1103                                         break;
1104                                 }
1105                                 s += t.character();
1106                                 if (isValidLength(s))
1107                                         break;
1108                         }
1109                         cell->push_back(MathAtom(new MathKernInset(s)));
1110                 }
1111
1112                 else if (t.cs() == "label") {
1113                         string label = parse_verbatim_item();
1114                         if (grid.asHullInset()) {
1115                                 grid.asHullInset()->label(cellrow, label);
1116                         } else {
1117                                 cell->push_back(createMathInset(t.cs()));
1118                                 cell->push_back(MathAtom(new MathBraceInset(asArray(label))));
1119                         }
1120                 }
1121
1122                 else if (t.cs() == "choose" || t.cs() == "over" || t.cs() == "atop") {
1123                         MathAtom at = createMathInset(t.cs());
1124                         at.nucleus()->cell(0) = *cell;
1125                         cell->clear();
1126                         parse(at.nucleus()->cell(1), flags, mode);
1127                         cell->push_back(at);
1128                         return;
1129                 }
1130
1131                 else if (t.cs() == "substack") {
1132                         cell->push_back(createMathInset(t.cs()));
1133                         parse2(cell->back(), FLAG_ITEM, mode, false);
1134                 }
1135
1136                 else if (t.cs() == "xymatrix") {
1137                         cell->push_back(createMathInset(t.cs()));
1138                         parse2(cell->back(), FLAG_ITEM, mode, false);
1139                 }
1140
1141                 else if (t.cs() == "framebox") {
1142                         cell->push_back(createMathInset(t.cs()));
1143                         parse(cell->back().nucleus()->cell(0), FLAG_OPTION, MathInset::TEXT_MODE);
1144                         parse(cell->back().nucleus()->cell(1), FLAG_OPTION, MathInset::TEXT_MODE);
1145                         parse(cell->back().nucleus()->cell(2), FLAG_ITEM, MathInset::TEXT_MODE);
1146                 }
1147
1148 #if 0
1149                 else if (t.cs() == "infer") {
1150                         MathArray ar;
1151                         parse(ar, FLAG_OPTION, mode);
1152                         cell->push_back(createMathInset(t.cs()));
1153                         parse2(cell->back(), FLAG_ITEM, mode, false);
1154                 }
1155
1156                 // Disabled
1157                 else if (1 && t.cs() == "ar") {
1158                         MathXYArrowInset * p = new MathXYArrowInset;
1159                         // try to read target
1160                         parse(p->cell(0), FLAG_OTPTION, mode);
1161                         // try to read label
1162                         if (nextToken().cat() == catSuper || nextToken().cat() == catSub) {
1163                                 p->up_ = nextToken().cat() == catSuper;
1164                                 getToken();
1165                                 parse(p->cell(1), FLAG_ITEM, mode);
1166                                 //lyxerr << "read label: " << p->cell(1) << "\n";
1167                         }
1168
1169                         cell->push_back(MathAtom(p));
1170                         //lyxerr << "read cell: " << cell << "\n";
1171                 }
1172 #endif
1173
1174                 else if (t.cs().size()) {
1175                         latexkeys const * l = in_word_set(t.cs());
1176                         if (l) {
1177                                 if (l->inset == "font") {
1178                                         cell->push_back(createMathInset(t.cs()));
1179                                         parse(cell->back().nucleus()->cell(0), FLAG_ITEM, asMode(mode, l->extra));
1180                                 }
1181
1182                                 else if (l->inset == "oldfont") {
1183                                         cell->push_back(createMathInset(t.cs()));
1184                                         parse(cell->back().nucleus()->cell(0), flags, asMode(mode, l->extra));
1185                                         return;
1186                                 }
1187
1188                                 else if (l->inset == "style") {
1189                                         cell->push_back(createMathInset(t.cs()));
1190                                         parse(cell->back().nucleus()->cell(0), flags, mode);
1191                                         return;
1192                                 }
1193
1194                                 else if (l->inset == "parbox") {
1195                                         // read optional positioning and width
1196                                         string pos   = parse_verbatim_option();
1197                                         string width = parse_verbatim_item();
1198                                         cell->push_back(createMathInset(t.cs()));
1199                                         parse(cell->back().nucleus()->cell(0), FLAG_ITEM, MathInset::TEXT_MODE);
1200                                         cell->back().nucleus()->asParboxInset()->setPosition(pos);
1201                                         cell->back().nucleus()->asParboxInset()->setWidth(width);
1202                                 }
1203
1204                                 else {
1205                                         MathAtom at = createMathInset(t.cs());
1206                                         for (MathInset::idx_type i = 0; i < at->nargs(); ++i)
1207                                                 parse(at.nucleus()->cell(i), FLAG_ITEM, asMode(mode, l->extra));
1208                                         cell->push_back(at);
1209                                 }
1210                         }
1211
1212                         else {
1213                                 MathAtom at = createMathInset(t.cs());
1214                                 MathInset::mode_type m = mode;
1215                                 //if (m == MathInset::UNDECIDED_MODE)
1216                                 lyxerr << "default creation: m1: " << m << "\n";
1217                                 if (at->currentMode() != MathInset::UNDECIDED_MODE)
1218                                         m = at->currentMode();
1219                                 lyxerr << "default creation: m2: " << m << "\n";
1220                                 MathInset::idx_type start = 0;
1221                                 // this fails on \bigg[...\bigg]
1222                                 //MathArray opt;
1223                                 //parse(opt, FLAG_OPTION, MathInset::VERBATIM_MODE);
1224                                 //if (opt.size()) {
1225                                 //      start = 1;
1226                                 //      at.nucleus()->cell(0) = opt;
1227                                 //}
1228                                 for (MathInset::idx_type i = start; i < at->nargs(); ++i)
1229                                         parse(at.nucleus()->cell(i), FLAG_ITEM, m);
1230                                 cell->push_back(at);
1231                         }
1232                 }
1233
1234
1235                 if (flags & FLAG_LEAVE) {
1236                         flags &= ~FLAG_LEAVE;
1237                         break;
1238                 }
1239         }
1240 }
1241
1242
1243
1244 } // anonymous namespace
1245
1246
1247 void mathed_parse_cell(MathArray & ar, string const & str)
1248 {
1249         istringstream is(str.c_str());
1250         mathed_parse_cell(ar, is);
1251 }
1252
1253
1254 void mathed_parse_cell(MathArray & ar, istream & is)
1255 {
1256         Parser(is).parse(ar, 0, MathInset::MATH_MODE);
1257 }
1258
1259
1260 bool mathed_parse_normal(MathAtom & t, string const & str)
1261 {
1262         istringstream is(str.c_str());
1263         return Parser(is).parse(t);
1264 }
1265
1266
1267 bool mathed_parse_normal(MathAtom & t, istream & is)
1268 {
1269         return Parser(is).parse(t);
1270 }
1271
1272
1273 bool mathed_parse_normal(MathAtom & t, LyXLex & lex)
1274 {
1275         return Parser(lex).parse(t);
1276 }
1277
1278
1279 void mathed_parse_normal(MathGridInset & grid, string const & str)
1280 {
1281         istringstream is(str.c_str());
1282         Parser(is).parse1(grid, 0, MathInset::MATH_MODE, false);
1283 }