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1 /* Compute look-ahead criteria for bison,
2 Copyright 1984, 1986, 1989, 2000, 2001 Free Software Foundation, Inc.
3
4 This file is part of Bison, the GNU Compiler Compiler.
5
6 Bison is free software; you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by
8 the Free Software Foundation; either version 2, or (at your option)
9 any later version.
10
11 Bison is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 GNU General Public License for more details.
15
16 You should have received a copy of the GNU General Public License
17 along with Bison; see the file COPYING. If not, write to
18 the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
19 Boston, MA 02111-1307, USA. */
20
21
22 /* Compute how to make the finite state machine deterministic; find
23 which rules need lookahead in each state, and which lookahead
24 tokens they accept. */
25
26 #include "system.h"
27 #include "types.h"
28 #include "LR0.h"
29 #include "gram.h"
30 #include "complain.h"
31 #include "lalr.h"
32 #include "nullable.h"
33 #include "derives.h"
34
35 /* All the decorated states, indexed by the state number. Warning:
36 there is a state_TABLE in LR0.c, but it is different and static.
37 */
38 state_t *state_table = NULL;
39
40 int tokensetsize;
41 short *LAruleno;
42 unsigned *LA;
43
44 short *goto_map;
45 short *from_state;
46 short *to_state;
47
48 extern void berror PARAMS ((const char *));
49
50 static int infinity;
51 static int ngotos;
52
53 /* And for the famous F variable, which name is so descriptive that a
54 comment is hardly needed. <grin>. */
55 static unsigned *F = NULL;
56 #define F(Rule) (F + (Rule) * tokensetsize)
57
58 static short **includes;
59 static shorts **lookback;
60 static short **R;
61 static short *INDEX;
62 static short *VERTICES;
63 static int top;
64
65
66 static void
67 traverse (int i)
68 {
69 int j;
70 size_t k;
71 int height;
72 size_t size = F (i + 1) - F(i);
73
74 VERTICES[++top] = i;
75 INDEX[i] = height = top;
76
77 if (R[i])
78 for (j = 0; R[i][j] >= 0; ++j)
79 {
80 if (INDEX[R[i][j]] == 0)
81 traverse (R[i][j]);
82
83 if (INDEX[i] > INDEX[R[i][j]])
84 INDEX[i] = INDEX[R[i][j]];
85
86 for (k = 0; k < size; ++k)
87 F (i)[k] |= F (R[i][j])[k];
88 }
89
90 if (INDEX[i] == height)
91 for (;;)
92 {
93 j = VERTICES[top--];
94 INDEX[j] = infinity;
95
96 if (i == j)
97 break;
98
99 for (k = 0; k < size; ++k)
100 F (i)[k] = F (j)[k];
101 }
102 }
103
104
105 static void
106 digraph (short **relation)
107 {
108 int i;
109
110 infinity = ngotos + 2;
111 INDEX = XCALLOC (short, ngotos + 1);
112 VERTICES = XCALLOC (short, ngotos + 1);
113 top = 0;
114
115 R = relation;
116
117 for (i = 0; i < ngotos; i++)
118 INDEX[i] = 0;
119
120 for (i = 0; i < ngotos; i++)
121 if (INDEX[i] == 0 && R[i])
122 traverse (i);
123
124 XFREE (INDEX);
125 XFREE (VERTICES);
126 }
127
128
129 /*--------------------.
130 | Build STATE_TABLE. |
131 `--------------------*/
132
133 static void
134 set_state_table (void)
135 {
136 /* NSTATES + 1 because lookahead for the pseudo state number NSTATES
137 might be used (see conflicts.c). It is too opaque for me to
138 provide a probably less hacky implementation. --akim */
139 state_table = XCALLOC (state_t, nstates + 1);
140
141 {
142 core *sp;
143 for (sp = first_state; sp; sp = sp->next)
144 {
145 state_table[sp->number].state = sp;
146 state_table[sp->number].accessing_symbol = sp->accessing_symbol;
147 }
148 }
149
150 {
151 shifts *sp;
152 for (sp = first_shift; sp; sp = sp->next)
153 state_table[sp->number].shift_table = sp;
154 }
155
156 {
157 reductions *rp;
158 for (rp = first_reduction; rp; rp = rp->next)
159 state_table[rp->number].reduction_table = rp;
160 }
161
162 /* Initializing the lookaheads members. Please note that it must be
163 performed after having set some of the other members which are
164 used below. Change with extreme caution. */
165 {
166 int i;
167 int count = 0;
168 for (i = 0; i < nstates; i++)
169 {
170 int k;
171 reductions *rp = state_table[i].reduction_table;
172 shifts *sp = state_table[i].shift_table;
173
174 state_table[i].lookaheads = count;
175
176 if (rp
177 && (rp->nreds > 1
178 || (sp && !ISVAR (state_table[sp->shifts[0]].accessing_symbol))))
179 count += rp->nreds;
180 else
181 state_table[i].consistent = 1;
182
183 if (sp)
184 for (k = 0; k < sp->nshifts; k++)
185 if (state_table[sp->shifts[k]].accessing_symbol
186 == error_token_number)
187 {
188 state_table[i].consistent = 0;
189 break;
190 }
191 }
192 state_table[nstates].lookaheads = count;
193 }
194 }
195
196
197 /*------------------------------------------.
198 | Return the size of the longest rule RHS. |
199 `------------------------------------------*/
200
201 static size_t
202 maxrhs (void)
203 {
204 short *itemp;
205 int length;
206 int max;
207
208 length = 0;
209 max = 0;
210 for (itemp = ritem; *itemp; itemp++)
211 {
212 if (*itemp > 0)
213 {
214 length++;
215 }
216 else
217 {
218 if (length > max)
219 max = length;
220 length = 0;
221 }
222 }
223
224 return max;
225 }
226
227
228 static void
229 initialize_LA (void)
230 {
231 int i;
232 int j;
233 short *np;
234 reductions *rp;
235
236 size_t nLA = state_table[nstates].lookaheads;
237 if (!nLA)
238 nLA = 1;
239
240 LA = XCALLOC (unsigned, nLA * tokensetsize);
241 LAruleno = XCALLOC (short, nLA);
242 lookback = XCALLOC (shorts *, nLA);
243
244 np = LAruleno;
245 for (i = 0; i < nstates; i++)
246 if (!state_table[i].consistent)
247 if ((rp = state_table[i].reduction_table))
248 for (j = 0; j < rp->nreds; j++)
249 *np++ = rp->rules[j];
250 }
251
252
253 static void
254 set_goto_map (void)
255 {
256 shifts *sp;
257 int i;
258 int symbol;
259 int k;
260 short *temp_map;
261 int state2;
262 int state1;
263
264 goto_map = XCALLOC (short, nvars + 1) - ntokens;
265 temp_map = XCALLOC (short, nvars + 1) - ntokens;
266
267 ngotos = 0;
268 for (sp = first_shift; sp; sp = sp->next)
269 {
270 for (i = sp->nshifts - 1; i >= 0; i--)
271 {
272 symbol = state_table[sp->shifts[i]].accessing_symbol;
273
274 if (ISTOKEN (symbol))
275 break;
276
277 if (ngotos == MAXSHORT)
278 fatal (_("too many gotos (max %d)"), MAXSHORT);
279
280 ngotos++;
281 goto_map[symbol]++;
282 }
283 }
284
285 k = 0;
286 for (i = ntokens; i < nsyms; i++)
287 {
288 temp_map[i] = k;
289 k += goto_map[i];
290 }
291
292 for (i = ntokens; i < nsyms; i++)
293 goto_map[i] = temp_map[i];
294
295 goto_map[nsyms] = ngotos;
296 temp_map[nsyms] = ngotos;
297
298 from_state = XCALLOC (short, ngotos);
299 to_state = XCALLOC (short, ngotos);
300
301 for (sp = first_shift; sp; sp = sp->next)
302 {
303 state1 = sp->number;
304 for (i = sp->nshifts - 1; i >= 0; i--)
305 {
306 state2 = sp->shifts[i];
307 symbol = state_table[state2].accessing_symbol;
308
309 if (ISTOKEN (symbol))
310 break;
311
312 k = temp_map[symbol]++;
313 from_state[k] = state1;
314 to_state[k] = state2;
315 }
316 }
317
318 XFREE (temp_map + ntokens);
319 }
320
321
322
323 /*----------------------------------------------------------.
324 | Map a state/symbol pair into its numeric representation. |
325 `----------------------------------------------------------*/
326
327 static int
328 map_goto (int state, int symbol)
329 {
330 int high;
331 int low;
332 int middle;
333 int s;
334
335 low = goto_map[symbol];
336 high = goto_map[symbol + 1] - 1;
337
338 while (low <= high)
339 {
340 middle = (low + high) / 2;
341 s = from_state[middle];
342 if (s == state)
343 return middle;
344 else if (s < state)
345 low = middle + 1;
346 else
347 high = middle - 1;
348 }
349
350 assert (0);
351 /* NOTREACHED */
352 return 0;
353 }
354
355
356 static void
357 initialize_F (void)
358 {
359 int i;
360 int j;
361 short *edge;
362 unsigned *rowp;
363 short *rp;
364 short **reads;
365 int nedges;
366 int symbol;
367 int nwords;
368
369 nwords = ngotos * tokensetsize;
370 F = XCALLOC (unsigned, nwords);
371
372 reads = XCALLOC (short *, ngotos);
373 edge = XCALLOC (short, ngotos + 1);
374 nedges = 0;
375
376 rowp = F;
377 for (i = 0; i < ngotos; i++)
378 {
379 int stateno = to_state[i];
380 shifts *sp = state_table[stateno].shift_table;
381
382 if (sp)
383 {
384 for (j = 0; j < sp->nshifts; j++)
385 {
386 symbol = state_table[sp->shifts[j]].accessing_symbol;
387 if (ISVAR (symbol))
388 break;
389 SETBIT (rowp, symbol);
390 }
391
392 for (; j < sp->nshifts; j++)
393 {
394 symbol = state_table[sp->shifts[j]].accessing_symbol;
395 if (nullable[symbol])
396 edge[nedges++] = map_goto (stateno, symbol);
397 }
398
399 if (nedges)
400 {
401 reads[i] = rp = XCALLOC (short, nedges + 1);
402
403 for (j = 0; j < nedges; j++)
404 rp[j] = edge[j];
405
406 rp[nedges] = -1;
407 nedges = 0;
408 }
409 }
410
411 rowp += tokensetsize;
412 }
413
414 digraph (reads);
415
416 for (i = 0; i < ngotos; i++)
417 XFREE (reads[i]);
418
419 XFREE (reads);
420 XFREE (edge);
421 }
422
423
424 static void
425 add_lookback_edge (int stateno, int ruleno, int gotono)
426 {
427 int i;
428 int k;
429 int found;
430 shorts *sp;
431
432 i = state_table[stateno].lookaheads;
433 k = state_table[stateno + 1].lookaheads;
434 found = 0;
435 while (!found && i < k)
436 {
437 if (LAruleno[i] == ruleno)
438 found = 1;
439 else
440 i++;
441 }
442
443 assert (found);
444
445 sp = XCALLOC (shorts, 1);
446 sp->next = lookback[i];
447 sp->value = gotono;
448 lookback[i] = sp;
449 }
450
451
452 static short **
453 transpose (short **R_arg, int n)
454 {
455 short **new_R;
456 short **temp_R;
457 short *nedges;
458 int i;
459
460 nedges = XCALLOC (short, n);
461
462 for (i = 0; i < n; i++)
463 {
464 short *sp = R_arg[i];
465 if (sp)
466 {
467 while (*sp >= 0)
468 nedges[*sp++]++;
469 }
470 }
471
472 new_R = XCALLOC (short *, n);
473 temp_R = XCALLOC (short *, n);
474
475 for (i = 0; i < n; i++)
476 if (nedges[i] > 0)
477 {
478 short *sp = XCALLOC (short, nedges[i] + 1);
479 new_R[i] = sp;
480 temp_R[i] = sp;
481 sp[nedges[i]] = -1;
482 }
483
484 XFREE (nedges);
485
486 for (i = 0; i < n; i++)
487 {
488 short *sp = R_arg[i];
489 if (sp)
490 while (*sp >= 0)
491 *temp_R[*sp++]++ = i;
492 }
493
494 XFREE (temp_R);
495
496 return new_R;
497 }
498
499
500 static void
501 build_relations (void)
502 {
503 int i;
504 int j;
505 short *rulep;
506 short *rp;
507 int nedges;
508 int done;
509 int state1;
510 int stateno;
511 int symbol1;
512 short *edge;
513 short *states;
514 short **new_includes;
515
516 includes = XCALLOC (short *, ngotos);
517 edge = XCALLOC (short, ngotos + 1);
518 states = XCALLOC (short, maxrhs () + 1);
519
520 for (i = 0; i < ngotos; i++)
521 {
522 nedges = 0;
523 state1 = from_state[i];
524 symbol1 = state_table[to_state[i]].accessing_symbol;
525
526 for (rulep = derives[symbol1]; *rulep > 0; rulep++)
527 {
528 int length = 1;
529 states[0] = state1;
530 stateno = state1;
531
532 for (rp = ritem + rule_table[*rulep].rhs; *rp > 0; rp++)
533 {
534 int symbol2 = *rp;
535 shifts *sp = state_table[stateno].shift_table;
536
537 for (j = 0; j < sp->nshifts; j++)
538 {
539 stateno = sp->shifts[j];
540 if (state_table[stateno].accessing_symbol == symbol2)
541 break;
542 }
543
544 states[length++] = stateno;
545 }
546
547 if (!state_table[stateno].consistent)
548 add_lookback_edge (stateno, *rulep, i);
549
550 length--;
551 done = 0;
552 while (!done)
553 {
554 done = 1;
555 rp--;
556 /* JF added rp>=ritem && I hope to god its right! */
557 if (rp >= ritem && ISVAR (*rp))
558 {
559 stateno = states[--length];
560 edge[nedges++] = map_goto (stateno, *rp);
561 if (nullable[*rp])
562 done = 0;
563 }
564 }
565 }
566
567 if (nedges)
568 {
569 includes[i] = XCALLOC (short, nedges + 1);
570 for (j = 0; j < nedges; j++)
571 includes[i][j] = edge[j];
572 includes[i][nedges] = -1;
573 }
574 }
575
576 new_includes = transpose (includes, ngotos);
577
578 for (i = 0; i < ngotos; i++)
579 XFREE (includes[i]);
580 XFREE (includes);
581
582 includes = new_includes;
583
584 XFREE (edge);
585 XFREE (states);
586 }
587
588
589
590 static void
591 compute_FOLLOWS (void)
592 {
593 int i;
594
595 digraph (includes);
596
597 for (i = 0; i < ngotos; i++)
598 XFREE (includes[i]);
599
600 XFREE (includes);
601 }
602
603
604 static void
605 compute_lookaheads (void)
606 {
607 int i;
608 shorts *sp;
609
610 for (i = 0; i < state_table[nstates].lookaheads; i++)
611 for (sp = lookback[i]; sp; sp = sp->next)
612 {
613 unsigned *fp1 = LA (i);
614 unsigned *fp2 = F (sp->value);
615 while (fp1 < LA (i + 1))
616 *fp1++ |= *fp2++;
617 }
618
619 /* Free LOOKBACK. */
620 for (i = 0; i < state_table[nstates].lookaheads; i++)
621 LIST_FREE (shorts, lookback[i]);
622
623 XFREE (lookback);
624 XFREE (F);
625 }
626
627
628 void
629 lalr (void)
630 {
631 tokensetsize = WORDSIZE (ntokens);
632
633 set_state_table ();
634 initialize_LA ();
635 set_goto_map ();
636 initialize_F ();
637 build_relations ();
638 compute_FOLLOWS ();
639 compute_lookaheads ();
640 }