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1 /**
2  * \file MathSupport.cpp
3  * This file is part of LyX, the document processor.
4  * Licence details can be found in the file COPYING.
5  *
6  * \author Alejandro Aguilar Sierra
7  * \author André Pönitz
8  *
9  * Full author contact details are available in file CREDITS.
10  */
11
12 #include <config.h>
13
14 #include "MathSupport.h"
15
16 #include "InsetMathFont.h"
17 #include "InsetMathSymbol.h"
18 #include "Length.h"
19 #include "MathData.h"
20 #include "MathFactory.h"
21 #include "MathParser.h"
22 #include "MathStream.h"
23
24 #include "LaTeXFeatures.h"
25 #include "MetricsInfo.h"
26
27 #include "frontends/FontLoader.h"
28 #include "frontends/FontMetrics.h"
29 #include "frontends/Painter.h"
30
31 #include "support/debug.h"
32 #include "support/docstream.h"
33 #include "support/lassert.h"
34 #include "support/lyxlib.h"
35
36 #include <map>
37 #include <algorithm>
38
39 using namespace std;
40
41 namespace lyx {
42
43 using frontend::Painter;
44
45
46 ///
47 class Matrix {
48 public:
49         ///
50         Matrix(int, double, double);
51         ///
52         void transform(double &, double &);
53 private:
54         ///
55         double m_[2][2];
56 };
57
58
59 Matrix::Matrix(int code, double x, double y)
60 {
61         double const cs = (code & 1) ? 0 : (1 - code);
62         double const sn = (code & 1) ? (2 - code) : 0;
63         m_[0][0] =  cs * x;
64         m_[0][1] =  sn * x;
65         m_[1][0] = -sn * y;
66         m_[1][1] =  cs * y;
67 }
68
69
70 void Matrix::transform(double & x, double & y)
71 {
72         double xx = m_[0][0] * x + m_[0][1] * y;
73         double yy = m_[1][0] * x + m_[1][1] * y;
74         x = xx;
75         y = yy;
76 }
77
78
79
80 namespace {
81
82 /*
83  * Internal struct of a drawing: code n x1 y1 ... xn yn, where code is:
84  * 0 = end, 1 = line, 2 = polyline, 3 = square line, 4 = square polyline
85  * 5 = rounded thick line (i.e. dot for short line)
86  */
87
88
89 double const parenthHigh[] = {
90         2, 13,
91         0.9840, 0.0014, 0.7143, 0.0323, 0.4603, 0.0772,
92         0.2540, 0.1278, 0.1746, 0.1966, 0.0952, 0.3300,
93         0.0950, 0.5000, 0.0952, 0.6700, 0.1746, 0.8034,
94         0.2540, 0.8722, 0.4603, 0.9228, 0.7143, 0.9677,
95         0.9840, 0.9986,
96         0
97 };
98
99
100 double const parenth[] = {
101         2, 13,
102         0.9930, 0.0071, 0.7324, 0.0578, 0.5141, 0.1126,
103         0.3380, 0.1714, 0.2183, 0.2333, 0.0634, 0.3621,
104         0.0141, 0.5000, 0.0563, 0.6369, 0.2113, 0.7647,
105         0.3310, 0.8276, 0.5070, 0.8864, 0.7254, 0.9412,
106         0.9930, 0.9919,
107         0
108 };
109
110
111 double const brace[] = {
112         2, 21,
113         0.9492, 0.0020, 0.9379, 0.0020, 0.7458, 0.0243,
114         0.5819, 0.0527, 0.4859, 0.0892, 0.4463, 0.1278,
115         0.4463, 0.3732, 0.4011, 0.4199, 0.2712, 0.4615,
116         0.0734, 0.4919, 0.0113, 0.5000, 0.0734, 0.5081,
117         0.2712, 0.5385, 0.4011, 0.5801, 0.4463, 0.6268,
118         0.4463, 0.8722, 0.4859, 0.9108, 0.5819, 0.9473,
119         0.7458, 0.9757, 0.9379, 0.9980, 0.9492, 0.9980,
120         0
121 };
122
123
124 double const mapsto[] = {
125         2, 3,
126         0.75, 0.015, 0.95, 0.5, 0.75, 0.985,
127         1, 0.015, 0.475, 0.945, 0.475,
128         1, 0.015, 0.015, 0.015, 0.985,
129         0
130 };
131
132
133 double const lhook[] = {
134         2, 3,
135         0.25, 0.015, 0.05, 0.5, 0.25, 0.985,
136         1, 0.015, 0.475, 0.7, 0.475,
137         2, 5,
138         0.7, 0.015, 0.825, 0.15, 0.985, 0.25,
139         0.825, 0.35, 0.7, 0.475,
140         0
141 };
142
143
144 double const rhook[] = {
145         2, 3,
146         0.75, 0.015, 0.95, 0.5, 0.75, 0.985,
147         1, 0.3, 0.475, 0.985, 0.475,
148         2, 5,
149         0.3, 0.015, 0.175, 0.15, 0.05, 0.25,
150         0.175, 0.35, 0.3, 0.475,
151         0
152 };
153
154
155 double const LRArrow[] = {
156         2, 3,
157         0.25, 0.015, 0.05, 0.5, 0.25, 0.985,
158         2, 3,
159         0.75, 0.015, 0.95, 0.5, 0.75, 0.985,
160         1, 0.2, 0.8, 0.8, 0.8,
161         1, 0.2, 0.2, 0.8, 0.2,
162         0
163 };
164
165
166 double const LArrow[] = {
167         2, 3,
168         0.25, 0.015, 0.05, 0.5, 0.25, 0.985,
169         1, 0.2, 0.8, 0.985, 0.8,
170         1, 0.2, 0.2, 0.985, 0.2,
171         0
172 };
173
174
175 double const lharpoondown[] = {
176         2, 2,
177         0.015, 0.5, 0.25, 0.985,
178         1, 0.02, 0.475, 0.985, 0.475,
179         0
180 };
181
182
183 double const lharpoonup[] = {
184         2, 2,
185         0.25, 0.015, 0.015, 0.5,
186         1, 0.02, 0.525, 0.985, 0.525,
187         0
188 };
189
190
191 double const lrharpoons[] = {
192         2, 2,
193         0.25, 0.015, 0.015, 0.225,
194         1, 0.02, 0.23, 0.985, 0.23,
195         2, 2,
196         0.75, 0.985, 0.985, 0.775,
197         1, 0.02, 0.7, 0.980, 0.7,
198         0
199 };
200
201
202 double const rlharpoons[] = {
203         2, 2,
204         0.75, 0.015, 0.985, 0.225,
205         1, 0.02, 0.23, 0.985, 0.23,
206         2, 2,
207         0.25, 0.985, 0.015, 0.775,
208         1, 0.02, 0.7, 0.980, 0.7,
209         0
210 };
211
212
213 double const arrow[] = {
214         4, 7,
215         0.0150, 0.7500, 0.2000, 0.6000, 0.3500, 0.3500,
216         0.5000, 0.0500, 0.6500, 0.3500, 0.8000, 0.6000,
217         0.9500, 0.7500,
218         3, 0.5000, 0.1500, 0.5000, 0.9500,
219         0
220 };
221
222
223 double const Arrow[] = {
224         4, 7,
225         0.0150, 0.7500, 0.2000, 0.6000, 0.3500, 0.3500,
226         0.5000, 0.0500, 0.6500, 0.3500, 0.8000, 0.6000,
227         0.9500, 0.7500,
228         3, 0.3500, 0.5000, 0.3500, 0.9500,
229         3, 0.6500, 0.5000, 0.6500, 0.9500,
230         0
231 };
232
233
234 double const udarrow[] = {
235         2, 3,
236         0.015, 0.25,  0.5, 0.05, 0.95, 0.25,
237         2, 3,
238         0.015, 0.75,  0.5, 0.95, 0.95, 0.75,
239         1, 0.5, 0.1,  0.5, 0.9,
240         0
241 };
242
243
244 double const Udarrow[] = {
245         2, 3,
246         0.015, 0.25,  0.5, 0.05, 0.95, 0.25,
247         2, 3,
248         0.015, 0.75,  0.5, 0.95, 0.95, 0.75,
249         1, 0.35, 0.2, 0.35, 0.8,
250         1, 0.65, 0.2, 0.65, 0.8,
251         0
252 };
253
254
255 double const brack[] = {
256         2, 4,
257         0.95, 0.05,  0.05, 0.05,  0.05, 0.95,  0.95, 0.95,
258         0
259 };
260
261
262 double const dbrack[] = {
263         2, 4,
264         0.95, 0.05,  0.05, 0.05,  0.05, 0.95,  0.95, 0.95,
265         2, 2,
266         0.50, 0.05,  0.50, 0.95,
267         0
268 };
269
270
271 double const corner[] = {
272         2, 3,
273         0.95, 0.05,  0.05, 0.05,  0.05, 0.95,
274         0
275 };
276
277
278 double const angle[] = {
279         2, 3,
280         1, 0,  0.05, 0.5,  1, 1,
281         0
282 };
283
284
285 double const slash[] = {
286         1, 0.95, 0.05, 0.05, 0.95,
287         0
288 };
289
290
291 double const hline[] = {
292         1, 0.00, 0.5, 1.0, 0.5,
293         0
294 };
295
296
297 double const dot[] = {
298 //      1, 0.5, 0.2, 0.5, 0.2,
299 //      1, 0.4, 0.4, 0.6, 0.4,
300 //      1, 0.5, 0.5, 0.5, 0.5,
301         5, 0.4, 0.4, 0.6, 0.4,
302         0
303 };
304
305
306 double const ddot[] = {
307         5, 0.0, 0.4, 0.3, 0.4,
308         5, 0.6, 0.4, 1.0, 0.4,
309         0
310 };
311
312
313 double const dddot[] = {
314         1, 0.1,  0.5, 0.2,  0.5,
315         1, 0.45, 0.5, 0.55, 0.5,
316         1, 0.8,  0.5, 0.9,  0.5,
317         0
318 };
319
320
321 double const ddddot[] = {
322         1, 0.1,  0.5, 0.2,  0.5,
323         1, 0.45, 0.5, 0.55, 0.5,
324         1, 0.8,  0.5, 0.9,  0.5,
325         1, 1.15, 0.5, 1.25, 0.5,
326         0
327 };
328
329
330 double const hline3[] = {
331         1, 0.1,   0,  0.15,  0,
332         1, 0.475, 0,  0.525, 0,
333         1, 0.85,  0,  0.9,   0,
334         0
335 };
336
337
338 double const dline3[] = {
339         1, 0.1,   0.1,   0.15,  0.15,
340         1, 0.475, 0.475, 0.525, 0.525,
341         1, 0.85,  0.85,  0.9,   0.9,
342         0
343 };
344
345
346 double const ring[] = {
347         2, 5,
348         0.5, 0.8,  0.8, 0.5,  0.5, 0.2,  0.2, 0.5,  0.5, 0.8,
349         0
350 };
351
352
353 double const vert[] = {
354         1, 0.5, 0.05,  0.5, 0.95,
355         0
356 };
357
358
359 double const  Vert[] = {
360         1, 0.3, 0.05,  0.3, 0.95,
361         1, 0.7, 0.05,  0.7, 0.95,
362         0
363 };
364
365
366 double const tilde[] = {
367         2, 4,
368         0.00, 0.8,  0.25, 0.2,  0.75, 0.8,  1.00, 0.2,
369         0
370 };
371
372
373 struct deco_struct {
374         double const * data;
375         int angle;
376 };
377
378 struct named_deco_struct {
379         char const * name;
380         double const * data;
381         int angle;
382 };
383
384 named_deco_struct deco_table[] = {
385         // Decorations
386         {"widehat",             angle,        3 },
387         {"widetilde",           tilde,        0 },
388         {"underbar",            hline,        0 },
389         {"underline",           hline,        0 },
390         {"overline",            hline,        0 },
391         {"underbrace",          brace,        1 },
392         {"overbrace",           brace,        3 },
393         {"overleftarrow",       arrow,        1 },
394         {"overrightarrow",      arrow,        3 },
395         {"overleftrightarrow",  udarrow,      1 },
396         {"xhookleftarrow",      lhook,        0 },
397         {"xhookrightarrow",     rhook,        0 },
398         {"xleftarrow",          arrow,        1 },
399         {"xLeftarrow",          LArrow,       0 },
400         {"xleftharpoondown",    lharpoondown, 0 },
401         {"xleftharpoonup",      lharpoonup,   0 },
402         {"xleftrightharpoons",  lrharpoons,   0 },
403         {"xleftrightarrow",     udarrow,      1 },
404         {"xLeftrightarrow",     LRArrow,      0 },
405         {"xmapsto",             mapsto,       0 },
406         {"xrightarrow",         arrow,        3 },
407         {"xRightarrow",         LArrow,       2 },
408         {"xrightharpoondown",   lharpoonup,   2 },
409         {"xrightharpoonup",     lharpoondown, 2 },
410         {"xrightleftharpoons",  rlharpoons,   0 },
411         {"underleftarrow",      arrow,        1 },
412         {"underrightarrow",     arrow,        3 },
413         {"underleftrightarrow", udarrow,      1 },
414         {"undertilde",          tilde,        0 },
415         {"utilde",              tilde,        0 },
416
417         // Delimiters
418         {"(",              parenth,    0 },
419         {")",              parenth,    2 },
420         {"{",              brace,      0 },
421         {"}",              brace,      2 },
422         {"lbrace",         brace,      0 },
423         {"rbrace",         brace,      2 },
424         {"[",              brack,      0 },
425         {"]",              brack,      2 },
426         {"llbracket",      dbrack,     0 },
427         {"rrbracket",      dbrack,     2 },
428         {"|",              vert,       0 },
429         {"/",              slash,      0 },
430         {"slash",          slash,      0 },
431         {"vert",           vert,       0 },
432         {"lvert",          vert,       0 },
433         {"rvert",          vert,       0 },
434         {"Vert",           Vert,       0 },
435         {"lVert",          Vert,       0 },
436         {"rVert",          Vert,       0 },
437         {"'",              slash,      1 },
438         {"<",              angle,      0 },
439         {">",              angle,      2 },
440         {"\\",             slash,      1 },
441         {"backslash",      slash,      1 },
442         {"langle",         angle,      0 },
443         {"lceil",          corner,     0 },
444         {"lfloor",         corner,     1 },
445         {"rangle",         angle,      2 },
446         {"rceil",          corner,     3 },
447         {"rfloor",         corner,     2 },
448         {"downarrow",      arrow,      2 },
449         {"Downarrow",      Arrow,      2 },
450         {"uparrow",        arrow,      0 },
451         {"Uparrow",        Arrow,      0 },
452         {"updownarrow",    udarrow,    0 },
453         {"Updownarrow",    Udarrow,    0 },
454
455         // Accents
456         {"ddot",           ddot,       0 },
457         {"dddot",          dddot,      0 },
458         {"ddddot",         ddddot,     0 },
459         {"hat",            angle,      3 },
460         {"grave",          slash,      1 },
461         {"acute",          slash,      0 },
462         {"tilde",          tilde,      0 },
463         {"bar",            hline,      0 },
464         {"dot",            dot,        0 },
465         {"check",          angle,      1 },
466         {"breve",          parenth,    1 },
467         {"vec",            arrow,      3 },
468         {"mathring",       ring,       0 },
469
470         // Dots
471         {"dots",           hline3,     0 },
472         {"ldots",          hline3,     0 },
473         {"cdots",          hline3,     0 },
474         {"vdots",          hline3,     1 },
475         {"ddots",          dline3,     0 },
476         {"adots",          dline3,     1 },
477         {"iddots",         dline3,     1 },
478         {"dotsb",          hline3,     0 },
479         {"dotsc",          hline3,     0 },
480         {"dotsi",          hline3,     0 },
481         {"dotsm",          hline3,     0 },
482         {"dotso",          hline3,     0 }
483 };
484
485
486 map<docstring, deco_struct> deco_list;
487
488 // sort the table on startup
489 class init_deco_table {
490 public:
491         init_deco_table() {
492                 unsigned const n = sizeof(deco_table) / sizeof(deco_table[0]);
493                 for (named_deco_struct * p = deco_table; p != deco_table + n; ++p) {
494                         deco_struct d;
495                         d.data  = p->data;
496                         d.angle = p->angle;
497                         deco_list[from_ascii(p->name)] = d;
498                 }
499         }
500 };
501
502 static init_deco_table dummy_deco_table;
503
504
505 deco_struct const * search_deco(docstring const & name)
506 {
507         map<docstring, deco_struct>::const_iterator p = deco_list.find(name);
508         return p == deco_list.end() ? 0 : &(p->second);
509 }
510
511
512 } // namespace
513
514
515 int mathed_font_em(FontInfo const & font)
516 {
517         return theFontMetrics(font).em();
518 }
519
520
521 int mathed_font_x_height(FontInfo const & font)
522 {
523         return theFontMetrics(font).xHeight();
524 }
525
526 /* The math units. Quoting TeX by Topic, p.205:
527  *
528  * Spacing around mathematical objects is measured in mu units. A mu
529  * is 1/18th part of \fontdimen6 of the font in family 2 in the
530  * current style, the ‘quad’ value of the symbol font.
531  *
532  * A \thickmuskip (default value in plain TeX: 5mu plus 5mu) is
533  * inserted around (binary) relations, except where these are preceded
534  * or followed by other relations or punctuation, and except if they
535  * follow an open, or precede a close symbol.
536  *
537  * A \medmuskip (default value in plain TeX: 4mu plus 2mu minus 4mu)
538  * is put around binary operators.
539  *
540  * A \thinmuskip (default value in plain TeX: 3mu) follows after
541  * punctuation, and is put around inner objects, except where these
542  * are followed by a close or preceded by an open symbol, and except
543  * if the other object is a large operator or a binary relation.
544  *
545  * See the file MathClass.cpp for a formal implementation of the rules
546  * above.
547  */
548
549 int mathed_mu(FontInfo const & font, double mu)
550 {
551         MetricsBase mb(nullptr, font);
552         return mb.inPixels(Length(mu, Length::MU));
553 }
554
555 int mathed_thinmuskip(FontInfo const & font) { return mathed_mu(font, 3.0); }
556 int mathed_medmuskip(FontInfo const & font) { return mathed_mu(font, 4.0); }
557 int mathed_thickmuskip(FontInfo const & font) { return mathed_mu(font, 5.0); }
558
559
560 int mathed_char_width(FontInfo const & font, char_type c)
561 {
562         return theFontMetrics(font).width(c);
563 }
564
565
566 int mathed_char_kerning(FontInfo const & font, char_type c)
567 {
568         frontend::FontMetrics const & fm = theFontMetrics(font);
569         return max(0, fm.rbearing(c) - fm.width(c));
570 }
571
572
573 void mathed_string_dim(FontInfo const & font,
574                        docstring const & s,
575                        Dimension & dim)
576 {
577         frontend::FontMetrics const & fm = theFontMetrics(font);
578         dim.asc = 0;
579         dim.des = 0;
580         for (docstring::const_iterator it = s.begin();
581              it != s.end();
582              ++it) {
583                 dim.asc = max(dim.asc, fm.ascent(*it));
584                 dim.des = max(dim.des, fm.descent(*it));
585         }
586         dim.wid = fm.width(s);
587 }
588
589
590 int mathed_string_width(FontInfo const & font, docstring const & s)
591 {
592         return theFontMetrics(font).width(s);
593 }
594
595
596 void mathed_draw_deco(PainterInfo & pi, int x, int y, int w, int h,
597         docstring const & name)
598 {
599         if (name == ".") {
600                 pi.pain.line(x + w/2, y, x + w/2, y + h,
601                           Color_cursor, Painter::line_onoffdash);
602                 return;
603         }
604
605         deco_struct const * mds = search_deco(name);
606         if (!mds) {
607                 lyxerr << "Deco was not found. Programming error?" << endl;
608                 lyxerr << "name: '" << to_utf8(name) << "'" << endl;
609                 return;
610         }
611
612         int const n = (w < h) ? w : h;
613         int const r = mds->angle;
614         double const * d = mds->data;
615
616         if (h > 70 && (name == "(" || name == ")"))
617                 d = parenthHigh;
618
619         Matrix mt(r, w, h);
620         Matrix sqmt(r, n, n);
621
622         if (r > 0 && r < 3)
623                 y += h;
624
625         if (r >= 2)
626                 x += w;
627
628         for (int i = 0; d[i]; ) {
629                 int code = int(d[i++]);
630                 if (code & 1) {  // code == 1 || code == 3 || code == 5
631                         double xx = d[i++];
632                         double yy = d[i++];
633                         double x2 = d[i++];
634                         double y2 = d[i++];
635                         if (code == 3)
636                                 sqmt.transform(xx, yy);
637                         else
638                                 mt.transform(xx, yy);
639                         mt.transform(x2, y2);
640                         pi.pain.line(
641                                 int(x + xx + 0.5), int(y + yy + 0.5),
642                                 int(x + x2 + 0.5), int(y + y2 + 0.5),
643                                 pi.base.font.color());
644                         if (code == 5) {  // thicker, but rounded
645                                 pi.pain.line(
646                                         int(x + xx + 0.5+1), int(y + yy + 0.5-1),
647                                         int(x + x2 + 0.5-1), int(y + y2 + 0.5-1),
648                                 pi.base.font.color());
649                                 pi.pain.line(
650                                         int(x + xx + 0.5+1), int(y + yy + 0.5+1),
651                                         int(x + x2 + 0.5-1), int(y + y2 + 0.5+1),
652                                 pi.base.font.color());
653                         }
654                 } else {
655                         int xp[32];
656                         int yp[32];
657                         int const n2 = int(d[i++]);
658                         for (int j = 0; j < n2; ++j) {
659                                 double xx = d[i++];
660                                 double yy = d[i++];
661 //           lyxerr << ' ' << xx << ' ' << yy << ' ';
662                                 if (code == 4)
663                                         sqmt.transform(xx, yy);
664                                 else
665                                         mt.transform(xx, yy);
666                                 xp[j] = int(x + xx + 0.5);
667                                 yp[j] = int(y + yy + 0.5);
668                                 //  lyxerr << "P[" << j ' ' << xx << ' ' << yy << ' ' << x << ' ' << y << ']';
669                         }
670                         pi.pain.lines(xp, yp, n2, pi.base.font.color());
671                 }
672         }
673 }
674
675
676 docstring const &  mathedSymbol(MetricsBase & mb, latexkeys const * sym)
677 {
678         return (mb.font.style() == DISPLAY_STYLE && !sym->dsp_draw.empty()) ?
679                 sym->dsp_draw : sym->draw;
680 }
681
682
683 int mathedSymbolDim(MetricsBase & mb, Dimension & dim, latexkeys const * sym)
684 {
685         LASSERT((bool)sym, return 0);
686         //lyxerr << "metrics: symbol: '" << sym->name
687         //      << "' in font: '" << sym->inset
688         //      << "' drawn as: '" << sym->draw
689         //      << "'" << endl;
690
691         bool const italic_upcase_greek = sym->inset == "cmr" &&
692                 sym->extra == "mathalpha" &&
693                 mb.fontname == "mathit";
694         std::string const font = italic_upcase_greek ? "cmm" : sym->inset;
695         Changer dummy = mb.changeFontSet(font);
696         mathed_string_dim(mb.font, mathedSymbol(mb, sym), dim);
697         return mathed_char_kerning(mb.font, mathedSymbol(mb, sym).back());
698 }
699
700
701 void mathedSymbolDraw(PainterInfo & pi, int x, int y, latexkeys const * sym)
702 {
703         LASSERT((bool)sym, return);
704         //lyxerr << "drawing: symbol: '" << sym->name
705         //      << "' in font: '" << sym->inset
706         //      << "' drawn as: '" << sym->draw
707         //      << "'" << endl;
708
709         bool const italic_upcase_greek = sym->inset == "cmr" &&
710                 sym->extra == "mathalpha" &&
711                 pi.base.fontname == "mathit";
712         std::string const font = italic_upcase_greek ? "cmm" : sym->inset;
713
714         Changer dummy = pi.base.changeFontSet(font);
715         pi.draw(x, y, mathedSymbol(pi.base, sym));
716 }
717
718
719 void metricsStrRedBlack(MetricsInfo & mi, Dimension & dim, docstring const & str)
720 {
721         FontInfo font = mi.base.font;
722         augmentFont(font, "mathnormal");
723         mathed_string_dim(font, str, dim);
724 }
725
726
727 void drawStrRed(PainterInfo & pi, int x, int y, docstring const & str)
728 {
729         FontInfo f = pi.base.font;
730         augmentFont(f, "mathnormal");
731         f.setColor(Color_latex);
732         pi.pain.text(x, y, str, f);
733 }
734
735
736 void drawStrBlack(PainterInfo & pi, int x, int y, docstring const & str)
737 {
738         FontInfo f = pi.base.font;
739         augmentFont(f, "mathnormal");
740         f.setColor(Color_foreground);
741         pi.pain.text(x, y, str, f);
742 }
743
744
745 void math_font_max_dim(FontInfo const & font, int & asc, int & des)
746 {
747         frontend::FontMetrics const & fm = theFontMetrics(font);
748         asc = fm.maxAscent();
749         des = fm.maxDescent();
750 }
751
752
753 struct fontinfo {
754         string cmd_;
755         FontFamily family_;
756         FontSeries series_;
757         FontShape  shape_;
758         ColorCode        color_;
759 };
760
761
762 FontFamily const inh_family = INHERIT_FAMILY;
763 FontSeries const inh_series = INHERIT_SERIES;
764 FontShape  const inh_shape  = INHERIT_SHAPE;
765
766
767 // mathnormal should be the first, otherwise the fallback further down
768 // does not work
769 fontinfo fontinfos[] = {
770         // math fonts
771         // Color_math determines which fonts are math (see isMathFont)
772         {"mathnormal",    ROMAN_FAMILY, MEDIUM_SERIES,
773                           ITALIC_SHAPE, Color_math},
774         {"mathbf",        inh_family, BOLD_SERIES,
775                           inh_shape, Color_math},
776         {"mathcal",       CMSY_FAMILY, inh_series,
777                           inh_shape, Color_math},
778         {"mathfrak",      EUFRAK_FAMILY, inh_series,
779                           inh_shape, Color_math},
780         {"mathrm",        ROMAN_FAMILY, inh_series,
781                           UP_SHAPE, Color_math},
782         {"mathsf",        SANS_FAMILY, inh_series,
783                           inh_shape, Color_math},
784         {"mathbb",        MSB_FAMILY, inh_series,
785                           inh_shape, Color_math},
786         {"mathds",        DS_FAMILY, inh_series,
787                           inh_shape, Color_math},
788         {"mathtt",        TYPEWRITER_FAMILY, inh_series,
789                           inh_shape, Color_math},
790         {"mathit",        inh_family, inh_series,
791                           ITALIC_SHAPE, Color_math},
792         {"mathscr",       RSFS_FAMILY, inh_series,
793                           inh_shape, Color_math},
794         {"cmex",          CMEX_FAMILY, inh_series,
795                           inh_shape, Color_math},
796         {"cmm",           CMM_FAMILY, inh_series,
797                           inh_shape, Color_math},
798         {"cmr",           CMR_FAMILY, inh_series,
799                           inh_shape, Color_math},
800         {"cmsy",          CMSY_FAMILY, inh_series,
801                           inh_shape, Color_math},
802         {"eufrak",        EUFRAK_FAMILY, inh_series,
803                           inh_shape, Color_math},
804         {"msa",           MSA_FAMILY, inh_series,
805                           inh_shape, Color_math},
806         {"msb",           MSB_FAMILY, inh_series,
807                           inh_shape, Color_math},
808         {"stmry",         STMARY_FAMILY, inh_series,
809                           inh_shape, Color_math},
810         {"wasy",          WASY_FAMILY, inh_series,
811                           inh_shape, Color_math},
812         {"esint",         ESINT_FAMILY, inh_series,
813                           inh_shape, Color_math},
814
815         // Text fonts
816         {"text",          inh_family, inh_series,
817                           inh_shape, Color_foreground},
818         {"textbf",        inh_family, BOLD_SERIES,
819                           inh_shape, Color_foreground},
820         {"textit",        inh_family, inh_series,
821                           ITALIC_SHAPE, Color_foreground},
822         {"textmd",        inh_family, MEDIUM_SERIES,
823                           inh_shape, Color_foreground},
824         {"textnormal",    inh_family, inh_series,
825                           UP_SHAPE, Color_foreground},
826         {"textrm",        ROMAN_FAMILY,
827                           inh_series, UP_SHAPE,Color_foreground},
828         {"textsc",        inh_family, inh_series,
829                           SMALLCAPS_SHAPE, Color_foreground},
830         {"textsf",        SANS_FAMILY, inh_series,
831                           inh_shape, Color_foreground},
832         {"textsl",        inh_family, inh_series,
833                           SLANTED_SHAPE, Color_foreground},
834         {"texttt",        TYPEWRITER_FAMILY, inh_series,
835                           inh_shape, Color_foreground},
836         {"textup",        inh_family, inh_series,
837                           UP_SHAPE, Color_foreground},
838
839         // TIPA support
840         {"textipa",       inh_family, inh_series,
841                           inh_shape, Color_foreground},
842
843         // mhchem support
844         {"ce",            inh_family, inh_series,
845                           inh_shape, Color_foreground},
846         {"cf",            inh_family, inh_series,
847                           inh_shape, Color_foreground},
848
849         // LyX internal usage
850         {"lyxtex",        inh_family, inh_series,
851                           UP_SHAPE, Color_latex},
852         // FIXME: The following two don't work on OS X, since the Symbol font
853         //        uses a different encoding, and is therefore disabled in
854         //        FontLoader::available().
855         {"lyxsymbol",     SYMBOL_FAMILY, inh_series,
856                           inh_shape, Color_math},
857         {"lyxboldsymbol", SYMBOL_FAMILY, BOLD_SERIES,
858                           inh_shape, Color_math},
859         {"lyxblacktext",  ROMAN_FAMILY, MEDIUM_SERIES,
860                           UP_SHAPE, Color_foreground},
861         {"lyxnochange",   inh_family, inh_series,
862                           inh_shape, Color_foreground},
863         {"lyxfakebb",     TYPEWRITER_FAMILY, BOLD_SERIES,
864                           UP_SHAPE, Color_math},
865         {"lyxfakecal",    SANS_FAMILY, MEDIUM_SERIES,
866                           ITALIC_SHAPE, Color_math},
867         {"lyxfakefrak",   ROMAN_FAMILY, BOLD_SERIES,
868                           ITALIC_SHAPE, Color_math}
869 };
870
871
872 fontinfo * lookupFont(string const & name)
873 {
874         //lyxerr << "searching font '" << name << "'" << endl;
875         int const n = sizeof(fontinfos) / sizeof(fontinfo);
876         for (int i = 0; i < n; ++i)
877                 if (fontinfos[i].cmd_ == name) {
878                         //lyxerr << "found '" << i << "'" << endl;
879                         return fontinfos + i;
880                 }
881         return 0;
882 }
883
884
885 fontinfo * searchFont(string const & name)
886 {
887         fontinfo * f = lookupFont(name);
888         return f ? f : fontinfos;
889         // this should be mathnormal
890         //return searchFont("mathnormal");
891 }
892
893
894 bool isFontName(string const & name)
895 {
896         return lookupFont(name);
897 }
898
899
900 bool isMathFont(string const & name)
901 {
902         fontinfo * f = lookupFont(name);
903         return f && f->color_ == Color_math;
904 }
905
906
907 bool isTextFont(string const & name)
908 {
909         fontinfo * f = lookupFont(name);
910         return f && f->color_ == Color_foreground;
911 }
912
913
914 FontInfo getFont(string const & name)
915 {
916         FontInfo font;
917         augmentFont(font, name);
918         return font;
919 }
920
921
922 void fakeFont(string const & orig, string const & fake)
923 {
924         fontinfo * forig = searchFont(orig);
925         fontinfo * ffake = searchFont(fake);
926         if (forig && ffake) {
927                 forig->family_ = ffake->family_;
928                 forig->series_ = ffake->series_;
929                 forig->shape_  = ffake->shape_;
930                 forig->color_  = ffake->color_;
931         } else {
932                 lyxerr << "Can't fake font '" << orig << "' with '"
933                        << fake << "'" << endl;
934         }
935 }
936
937
938 void augmentFont(FontInfo & font, string const & name)
939 {
940         static bool initialized = false;
941         if (!initialized) {
942                 initialized = true;
943                 // fake fonts if necessary
944                 if (!theFontLoader().available(getFont("mathfrak")))
945                         fakeFont("mathfrak", "lyxfakefrak");
946                 if (!theFontLoader().available(getFont("mathcal")))
947                         fakeFont("mathcal", "lyxfakecal");
948         }
949         fontinfo * info = searchFont(name);
950         if (info->family_ != inh_family)
951                 font.setFamily(info->family_);
952         if (info->series_ != inh_series)
953                 font.setSeries(info->series_);
954         if (info->shape_ != inh_shape)
955                 font.setShape(info->shape_);
956         if (info->color_ != Color_none)
957                 font.setColor(info->color_);
958 }
959
960
961 bool isAlphaSymbol(MathAtom const & at)
962 {
963         if (at->asCharInset() ||
964             (at->asSymbolInset() &&
965              at->asSymbolInset()->isOrdAlpha()))
966                 return true;
967
968         if (at->asFontInset()) {
969                 MathData const & ar = at->asFontInset()->cell(0);
970                 for (size_t i = 0; i < ar.size(); ++i) {
971                         if (!(ar[i]->asCharInset() ||
972                               (ar[i]->asSymbolInset() &&
973                                ar[i]->asSymbolInset()->isOrdAlpha())))
974                                 return false;
975                 }
976                 return true;
977         }
978         return false;
979 }
980
981
982 docstring asString(MathData const & ar)
983 {
984         odocstringstream os;
985         otexrowstream ots(os);
986         WriteStream ws(ots);
987         ws << ar;
988         return os.str();
989 }
990
991
992 void asArray(docstring const & str, MathData & ar, Parse::flags pf)
993 {
994         // If the QUIET flag is set, we are going to parse for either
995         // a paste operation or a macro definition. We try to do the
996         // right thing in all cases.
997
998         bool quiet = pf & Parse::QUIET;
999         bool macro = pf & Parse::MACRODEF;
1000         if ((str.size() == 1 && quiet) || (!mathed_parse_cell(ar, str, pf) && quiet && !macro))
1001                 mathed_parse_cell(ar, str, pf | Parse::VERBATIM);
1002 }
1003
1004
1005 docstring asString(InsetMath const & inset)
1006 {
1007         odocstringstream os;
1008         otexrowstream ots(os);
1009         WriteStream ws(ots);
1010         inset.write(ws);
1011         return os.str();
1012 }
1013
1014
1015 docstring asString(MathAtom const & at)
1016 {
1017         odocstringstream os;
1018         otexrowstream ots(os);
1019         WriteStream ws(ots);
1020         at->write(ws);
1021         return os.str();
1022 }
1023
1024
1025 int axis_height(MetricsBase & mb)
1026 {
1027         Changer dummy = mb.changeFontSet("mathnormal");
1028         return theFontMetrics(mb.font).ascent('-') - 1;
1029 }
1030
1031
1032 void validate_math_word(LaTeXFeatures & features, docstring const & word)
1033 {
1034         MathWordList const & words = mathedWordList();
1035         MathWordList::const_iterator it = words.find(word);
1036         if (it != words.end()) {
1037                 string const req = it->second.required;
1038                 if (!req.empty())
1039                         features.require(req);
1040         }
1041 }
1042
1043
1044 } // namespace lyx