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1 /* Compute look-ahead criteria for bison,
2 Copyright (C) 1984, 1986, 1989, 2000, 2001, 2002
3 Free Software Foundation, Inc.
4
5 This file is part of Bison, the GNU Compiler Compiler.
6
7 Bison is free software; you can redistribute it and/or modify
8 it under the terms of the GNU General Public License as published by
9 the Free Software Foundation; either version 2, or (at your option)
10 any later version.
11
12 Bison is distributed in the hope that it will be useful,
13 but WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 GNU General Public License for more details.
16
17 You should have received a copy of the GNU General Public License
18 along with Bison; see the file COPYING. If not, write to
19 the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
20 Boston, MA 02111-1307, USA. */
21
22
23 /* Compute how to make the finite state machine deterministic; find
24 which rules need lookahead in each state, and which lookahead
25 tokens they accept. */
26
27 #include "system.h"
28 #include "bitset.h"
29 #include "bitsetv.h"
30 #include "quotearg.h"
31 #include "symtab.h"
32 #include "gram.h"
33 #include "reader.h"
34 #include "types.h"
35 #include "LR0.h"
36 #include "complain.h"
37 #include "lalr.h"
38 #include "nullable.h"
39 #include "derives.h"
40 #include "getargs.h"
41
42 /* All the decorated states, indexed by the state number. */
43 state_t **states = NULL;
44
45 rule_t **LArule = NULL;
46 bitsetv LA = NULL;
47 size_t nLA;
48
49 static int ngotos;
50 short *goto_map = NULL;
51 short *from_state = NULL;
52 short *to_state = NULL;
53
54 /* And for the famous F variable, which name is so descriptive that a
55 comment is hardly needed. <grin>. */
56 static bitsetv F = NULL;
57
58 static short **includes;
59 static shorts **lookback;
60
61
62 /*---------------------------------------------------------------.
63 | digraph & traverse. |
64 | |
65 | The following variables are used as common storage between the |
66 | two. |
67 `---------------------------------------------------------------*/
68
69 static short **R;
70 static short *INDEX;
71 static short *VERTICES;
72 static int top;
73 static int infinity;
74
75 static void
76 traverse (int i)
77 {
78 int j;
79 int height;
80
81 VERTICES[++top] = i;
82 INDEX[i] = height = top;
83
84 if (R[i])
85 for (j = 0; R[i][j] >= 0; ++j)
86 {
87 if (INDEX[R[i][j]] == 0)
88 traverse (R[i][j]);
89
90 if (INDEX[i] > INDEX[R[i][j]])
91 INDEX[i] = INDEX[R[i][j]];
92
93 bitset_or (F[i], F[i], F[R[i][j]]);
94 }
95
96 if (INDEX[i] == height)
97 for (;;)
98 {
99 j = VERTICES[top--];
100 INDEX[j] = infinity;
101
102 if (i == j)
103 break;
104
105 bitset_copy (F[j], F[i]);
106 }
107 }
108
109
110 static void
111 digraph (short **relation)
112 {
113 int i;
114
115 infinity = ngotos + 2;
116 INDEX = XCALLOC (short, ngotos + 1);
117 VERTICES = XCALLOC (short, ngotos + 1);
118 top = 0;
119
120 R = relation;
121
122 for (i = 0; i < ngotos; i++)
123 INDEX[i] = 0;
124
125 for (i = 0; i < ngotos; i++)
126 if (INDEX[i] == 0 && R[i])
127 traverse (i);
128
129 XFREE (INDEX);
130 XFREE (VERTICES);
131 }
132
133
134 static void
135 initialize_LA (void)
136 {
137 size_t i;
138 int j;
139 rule_t **np;
140
141 /* Avoid having to special case 0. */
142 if (!nLA)
143 nLA = 1;
144
145 LA = bitsetv_create (nLA, ntokens, BITSET_FIXED);
146 LArule = XCALLOC (rule_t *, nLA);
147 lookback = XCALLOC (shorts *, nLA);
148
149 np = LArule;
150 for (i = 0; i < nstates; i++)
151 if (!states[i]->consistent)
152 for (j = 0; j < states[i]->reductions->nreds; j++)
153 *np++ = &rules[states[i]->reductions->rules[j]];
154 }
155
156
157 static void
158 set_goto_map (void)
159 {
160 size_t state;
161 int i;
162 short *temp_map;
163
164 goto_map = XCALLOC (short, nvars + 1) - ntokens;
165 temp_map = XCALLOC (short, nvars + 1) - ntokens;
166
167 ngotos = 0;
168 for (state = 0; state < nstates; ++state)
169 {
170 shifts *sp = states[state]->shifts;
171 for (i = sp->nshifts - 1; i >= 0 && SHIFT_IS_GOTO (sp, i); --i)
172 {
173 if (ngotos == SHRT_MAX)
174 fatal (_("too many gotos (max %d)"), SHRT_MAX);
175
176 ngotos++;
177 goto_map[SHIFT_SYMBOL (sp, i)]++;
178 }
179 }
180
181 {
182 int k = 0;
183 for (i = ntokens; i < nsyms; i++)
184 {
185 temp_map[i] = k;
186 k += goto_map[i];
187 }
188
189 for (i = ntokens; i < nsyms; i++)
190 goto_map[i] = temp_map[i];
191
192 goto_map[nsyms] = ngotos;
193 temp_map[nsyms] = ngotos;
194 }
195
196 from_state = XCALLOC (short, ngotos);
197 to_state = XCALLOC (short, ngotos);
198
199 for (state = 0; state < nstates; ++state)
200 {
201 shifts *sp = states[state]->shifts;
202 for (i = sp->nshifts - 1; i >= 0 && SHIFT_IS_GOTO (sp, i); --i)
203 {
204 int k = temp_map[SHIFT_SYMBOL (sp, i)]++;
205 from_state[k] = state;
206 to_state[k] = sp->shifts[i];
207 }
208 }
209
210 XFREE (temp_map + ntokens);
211 }
212
213
214
215 /*----------------------------------------------------------.
216 | Map a state/symbol pair into its numeric representation. |
217 `----------------------------------------------------------*/
218
219 static int
220 map_goto (int state, symbol_number_t symbol)
221 {
222 int high;
223 int low;
224 int middle;
225 int s;
226
227 low = goto_map[symbol];
228 high = goto_map[symbol + 1] - 1;
229
230 while (low <= high)
231 {
232 middle = (low + high) / 2;
233 s = from_state[middle];
234 if (s == state)
235 return middle;
236 else if (s < state)
237 low = middle + 1;
238 else
239 high = middle - 1;
240 }
241
242 assert (0);
243 /* NOTREACHED */
244 return 0;
245 }
246
247
248 static void
249 initialize_F (void)
250 {
251 short **reads = XCALLOC (short *, ngotos);
252 short *edge = XCALLOC (short, ngotos + 1);
253 int nedges = 0;
254
255 int i;
256
257 F = bitsetv_create (ngotos, ntokens, BITSET_FIXED);
258
259 for (i = 0; i < ngotos; i++)
260 {
261 int stateno = to_state[i];
262 shifts *sp = states[stateno]->shifts;
263
264 int j;
265 for (j = 0; j < sp->nshifts && SHIFT_IS_SHIFT (sp, j); j++)
266 bitset_set (F[i], SHIFT_SYMBOL (sp, j));
267
268 for (; j < sp->nshifts; j++)
269 {
270 symbol_number_t symbol = SHIFT_SYMBOL (sp, j);
271 if (nullable[symbol])
272 edge[nedges++] = map_goto (stateno, symbol);
273 }
274
275 if (nedges)
276 {
277 reads[i] = XCALLOC (short, nedges + 1);
278 memcpy (reads[i], edge, nedges * sizeof (edge[0]));
279 reads[i][nedges] = -1;
280 nedges = 0;
281 }
282 }
283
284 digraph (reads);
285
286 for (i = 0; i < ngotos; i++)
287 XFREE (reads[i]);
288
289 XFREE (reads);
290 XFREE (edge);
291 }
292
293
294 static void
295 add_lookback_edge (state_t *state, int ruleno, int gotono)
296 {
297 int i;
298 shorts *sp;
299
300 for (i = 0; i < state->nlookaheads; ++i)
301 if (state->lookaheads_rule[i]->number == ruleno)
302 break;
303
304 assert (state->lookaheads_rule[i]->number == ruleno);
305
306 sp = XCALLOC (shorts, 1);
307 sp->next = lookback[(state->lookaheads - LA) + i];
308 sp->value = gotono;
309 lookback[(state->lookaheads - LA) + i] = sp;
310 }
311
312
313 static void
314 matrix_print (FILE *out, short **matrix, int n)
315 {
316 int i, j;
317
318 for (i = 0; i < n; ++i)
319 {
320 fprintf (out, "%3d: ", i);
321 if (matrix[i])
322 for (j = 0; matrix[i][j] != -1; ++j)
323 fprintf (out, "%3d ", matrix[i][j]);
324 fputc ('\n', out);
325 }
326 fputc ('\n', out);
327 }
328
329 /*-------------------------------------------------------------------.
330 | Return the transpose of R_ARG, of size N. Destroy R_ARG, as it is |
331 | replaced with the result. |
332 | |
333 | R_ARG[I] is NULL or a -1 terminated list of numbers. |
334 | |
335 | RESULT[NUM] is NULL or the -1 terminated list of the I such as NUM |
336 | is in R_ARG[I]. |
337 `-------------------------------------------------------------------*/
338
339 static short **
340 transpose (short **R_arg, int n)
341 {
342 /* The result. */
343 short **new_R = XCALLOC (short *, n);
344 /* END_R[I] -- next entry of NEW_R[I]. */
345 short **end_R = XCALLOC (short *, n);
346 /* NEDGES[I] -- total size of NEW_R[I]. */
347 short *nedges = XCALLOC (short, n);
348 int i, j;
349
350 if (trace_flag)
351 {
352 fputs ("transpose: input\n", stderr);
353 matrix_print (stderr, R_arg, n);
354 }
355
356 /* Count. */
357 for (i = 0; i < n; i++)
358 if (R_arg[i])
359 for (j = 0; R_arg[i][j] >= 0; ++j)
360 ++nedges[R_arg[i][j]];
361
362 /* Allocate. */
363 for (i = 0; i < n; i++)
364 if (nedges[i] > 0)
365 {
366 short *sp = XCALLOC (short, nedges[i] + 1);
367 sp[nedges[i]] = -1;
368 new_R[i] = sp;
369 end_R[i] = sp;
370 }
371
372 /* Store. */
373 for (i = 0; i < n; i++)
374 if (R_arg[i])
375 for (j = 0; R_arg[i][j] >= 0; ++j)
376 {
377 *end_R[R_arg[i][j]] = i;
378 ++end_R[R_arg[i][j]];
379 }
380
381 free (nedges);
382 free (end_R);
383
384 /* Free the input: it is replaced with the result. */
385 for (i = 0; i < n; i++)
386 XFREE (R_arg[i]);
387 free (R_arg);
388
389 if (trace_flag)
390 {
391 fputs ("transpose: output\n", stderr);
392 matrix_print (stderr, new_R, n);
393 }
394
395 return new_R;
396 }
397
398
399 static void
400 build_relations (void)
401 {
402 short *edge = XCALLOC (short, ngotos + 1);
403 short *states1 = XCALLOC (short, ritem_longest_rhs () + 1);
404 int i;
405
406 includes = XCALLOC (short *, ngotos);
407
408 for (i = 0; i < ngotos; i++)
409 {
410 int nedges = 0;
411 symbol_number_t symbol1 = states[to_state[i]]->accessing_symbol;
412 short *rulep;
413
414 for (rulep = derives[symbol1]; *rulep > 0; rulep++)
415 {
416 int done;
417 int length = 1;
418 item_number_t *rp;
419 state_t *state = states[from_state[i]];
420 states1[0] = state->number;
421
422 for (rp = rules[*rulep].rhs; *rp >= 0; rp++)
423 {
424 shifts *sp = state->shifts;
425 int j;
426 for (j = 0; j < sp->nshifts; j++)
427 {
428 state = states[sp->shifts[j]];
429 if (state->accessing_symbol
430 == item_number_as_symbol_number (*rp))
431 break;
432 }
433
434 states1[length++] = state->number;
435 }
436
437 if (!state->consistent)
438 add_lookback_edge (state, *rulep, i);
439
440 length--;
441 done = 0;
442 while (!done)
443 {
444 done = 1;
445 rp--;
446 /* JF added rp>=ritem && I hope to god its right! */
447 if (rp >= ritem && ISVAR (*rp))
448 {
449 /* Downcasting from item_number_t to symbol_number_t. */
450 edge[nedges++] = map_goto (states1[--length],
451 item_number_as_symbol_number (*rp));
452 if (nullable[*rp])
453 done = 0;
454 }
455 }
456 }
457
458 if (nedges)
459 {
460 int j;
461 includes[i] = XCALLOC (short, nedges + 1);
462 for (j = 0; j < nedges; j++)
463 includes[i][j] = edge[j];
464 includes[i][nedges] = -1;
465 }
466 }
467
468 XFREE (edge);
469 XFREE (states1);
470
471 includes = transpose (includes, ngotos);
472 }
473
474
475
476 static void
477 compute_FOLLOWS (void)
478 {
479 int i;
480
481 digraph (includes);
482
483 for (i = 0; i < ngotos; i++)
484 XFREE (includes[i]);
485
486 XFREE (includes);
487 }
488
489
490 static void
491 compute_lookaheads (void)
492 {
493 size_t i;
494 shorts *sp;
495
496 for (i = 0; i < nLA; i++)
497 for (sp = lookback[i]; sp; sp = sp->next)
498 bitset_or (LA[i], LA[i], F[sp->value]);
499
500 /* Free LOOKBACK. */
501 for (i = 0; i < nLA; i++)
502 LIST_FREE (shorts, lookback[i]);
503
504 XFREE (lookback);
505 bitsetv_free (F);
506 }
507
508
509 /*-------------------------------------------------------------.
510 | Count the number of lookaheads required for each state |
511 | (NLOOKAHEADS member). Compute the total number of LA, NLA. |
512 `-------------------------------------------------------------*/
513
514 static void
515 states_lookaheads_count (void)
516 {
517 size_t i;
518 nLA = 0;
519
520 /* Count */
521 for (i = 0; i < nstates; i++)
522 {
523 int k;
524 int nlookaheads = 0;
525 reductions *rp = states[i]->reductions;
526 shifts *sp = states[i]->shifts;
527
528 /* We need a lookahead either to distinguish different
529 reductions (i.e., there are two or more), or to distinguish a
530 reduction from a shift. Otherwise, it is straightforward,
531 and the state is `consistent'. */
532 if (rp->nreds > 1
533 || (rp->nreds == 1 && sp->nshifts && SHIFT_IS_SHIFT (sp, 0)))
534 nlookaheads += rp->nreds;
535 else
536 states[i]->consistent = 1;
537
538 for (k = 0; k < sp->nshifts; k++)
539 if (SHIFT_IS_ERROR (sp, k))
540 {
541 states[i]->consistent = 0;
542 break;
543 }
544
545 states[i]->nlookaheads = nlookaheads;
546 nLA += nlookaheads;
547 }
548 }
549
550
551 /*--------------------------------------.
552 | Initializing the lookaheads members. |
553 `--------------------------------------*/
554
555 static void
556 states_lookaheads_initialize (void)
557 {
558 size_t i;
559 bitsetv pLA = LA;
560 rule_t **pLArule = LArule;
561
562 /* Initialize the members LOOKAHEADS and LOOKAHEADS_RULE for each
563 state. */
564 for (i = 0; i < nstates; i++)
565 {
566 states[i]->lookaheads = pLA;
567 states[i]->lookaheads_rule = pLArule;
568 pLA += states[i]->nlookaheads;
569 pLArule += states[i]->nlookaheads;
570 }
571 }
572
573
574 /*---------------------------------------.
575 | Output the lookaheads for each state. |
576 `---------------------------------------*/
577
578 static void
579 lookaheads_print (FILE *out)
580 {
581 size_t i;
582 int j, k;
583 fprintf (out, "Lookaheads: BEGIN\n");
584 for (i = 0; i < nstates; ++i)
585 {
586 fprintf (out, "State %d: %d lookaheads\n",
587 i, states[i]->nlookaheads);
588
589 for (j = 0; j < states[i]->nlookaheads; ++j)
590 for (k = 0; k < ntokens; ++k)
591 if (bitset_test (states[i]->lookaheads[j], k))
592 fprintf (out, " on %d (%s) -> rule %d\n",
593 k, symbol_tag_get (symbols[k]),
594 states[i]->lookaheads_rule[j]->number - 1);
595 }
596 fprintf (out, "Lookaheads: END\n");
597 }
598
599 void
600 lalr (void)
601 {
602 states_lookaheads_count ();
603 initialize_LA ();
604 states_lookaheads_initialize ();
605 set_goto_map ();
606 initialize_F ();
607 build_relations ();
608 compute_FOLLOWS ();
609 compute_lookaheads ();
610
611 if (trace_flag)
612 lookaheads_print (stderr);
613 }