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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 "reader.h" | |
28 | #include "types.h" | |
29 | #include "LR0.h" | |
30 | #include "symtab.h" | |
31 | #include "gram.h" | |
32 | #include "complain.h" | |
33 | #include "lalr.h" | |
34 | #include "nullable.h" | |
35 | #include "derives.h" | |
36 | #include "getargs.h" | |
37 | ||
38 | /* All the decorated states, indexed by the state number. */ | |
39 | state_t **states = NULL; | |
40 | ||
41 | int tokensetsize; | |
42 | short *LAruleno; | |
43 | unsigned *LA; | |
44 | size_t nLA; | |
45 | ||
46 | static int ngotos; | |
47 | short *goto_map; | |
48 | short *from_state; | |
49 | short *to_state; | |
50 | ||
51 | /* And for the famous F variable, which name is so descriptive that a | |
52 | comment is hardly needed. <grin>. */ | |
53 | static unsigned *F = NULL; | |
54 | #define F(Rule) (F + (Rule) * tokensetsize) | |
55 | ||
56 | static short **includes; | |
57 | static shorts **lookback; | |
58 | ||
59 | ||
60 | /*---------------------------------------------------------------. | |
61 | | digraph & traverse. | | |
62 | | | | |
63 | | The following variables are used as common storage between the | | |
64 | | two. | | |
65 | `---------------------------------------------------------------*/ | |
66 | ||
67 | static short **R; | |
68 | static short *INDEX; | |
69 | static short *VERTICES; | |
70 | static int top; | |
71 | static int infinity; | |
72 | ||
73 | static void | |
74 | traverse (int i) | |
75 | { | |
76 | int j; | |
77 | size_t k; | |
78 | int height; | |
79 | size_t size = F (i + 1) - F(i); | |
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 | for (k = 0; k < size; ++k) | |
94 | F (i)[k] |= F (R[i][j])[k]; | |
95 | } | |
96 | ||
97 | if (INDEX[i] == height) | |
98 | for (;;) | |
99 | { | |
100 | j = VERTICES[top--]; | |
101 | INDEX[j] = infinity; | |
102 | ||
103 | if (i == j) | |
104 | break; | |
105 | ||
106 | for (k = 0; k < size; ++k) | |
107 | F (j)[k] = F (i)[k]; | |
108 | } | |
109 | } | |
110 | ||
111 | ||
112 | static void | |
113 | digraph (short **relation) | |
114 | { | |
115 | int i; | |
116 | ||
117 | infinity = ngotos + 2; | |
118 | INDEX = XCALLOC (short, ngotos + 1); | |
119 | VERTICES = XCALLOC (short, ngotos + 1); | |
120 | top = 0; | |
121 | ||
122 | R = relation; | |
123 | ||
124 | for (i = 0; i < ngotos; i++) | |
125 | INDEX[i] = 0; | |
126 | ||
127 | for (i = 0; i < ngotos; i++) | |
128 | if (INDEX[i] == 0 && R[i]) | |
129 | traverse (i); | |
130 | ||
131 | XFREE (INDEX); | |
132 | XFREE (VERTICES); | |
133 | } | |
134 | ||
135 | ||
136 | static void | |
137 | initialize_LA (void) | |
138 | { | |
139 | int i; | |
140 | int j; | |
141 | short *np; | |
142 | ||
143 | /* Avoid having to special case 0. */ | |
144 | if (!nLA) | |
145 | nLA = 1; | |
146 | ||
147 | LA = XCALLOC (unsigned, nLA * tokensetsize); | |
148 | LAruleno = XCALLOC (short, nLA); | |
149 | lookback = XCALLOC (shorts *, nLA); | |
150 | ||
151 | np = LAruleno; | |
152 | for (i = 0; i < nstates; i++) | |
153 | if (!states[i]->consistent) | |
154 | for (j = 0; j < states[i]->reductions->nreds; j++) | |
155 | *np++ = states[i]->reductions->rules[j]; | |
156 | } | |
157 | ||
158 | ||
159 | static void | |
160 | set_goto_map (void) | |
161 | { | |
162 | int state, i; | |
163 | short *temp_map; | |
164 | ||
165 | goto_map = XCALLOC (short, nvars + 1) - ntokens; | |
166 | temp_map = XCALLOC (short, nvars + 1) - ntokens; | |
167 | ||
168 | ngotos = 0; | |
169 | for (state = 0; state < nstates; ++state) | |
170 | { | |
171 | shifts *sp = states[state]->shifts; | |
172 | for (i = sp->nshifts - 1; i >= 0 && SHIFT_IS_GOTO (sp, i); --i) | |
173 | { | |
174 | if (ngotos == MAXSHORT) | |
175 | fatal (_("too many gotos (max %d)"), MAXSHORT); | |
176 | ||
177 | ngotos++; | |
178 | goto_map[SHIFT_SYMBOL (sp, i)]++; | |
179 | } | |
180 | } | |
181 | ||
182 | { | |
183 | int k = 0; | |
184 | for (i = ntokens; i < nsyms; i++) | |
185 | { | |
186 | temp_map[i] = k; | |
187 | k += goto_map[i]; | |
188 | } | |
189 | ||
190 | for (i = ntokens; i < nsyms; i++) | |
191 | goto_map[i] = temp_map[i]; | |
192 | ||
193 | goto_map[nsyms] = ngotos; | |
194 | temp_map[nsyms] = ngotos; | |
195 | } | |
196 | ||
197 | from_state = XCALLOC (short, ngotos); | |
198 | to_state = XCALLOC (short, ngotos); | |
199 | ||
200 | for (state = 0; state < nstates; ++state) | |
201 | { | |
202 | shifts *sp = states[state]->shifts; | |
203 | for (i = sp->nshifts - 1; i >= 0 && SHIFT_IS_GOTO (sp, i); --i) | |
204 | { | |
205 | int k = temp_map[SHIFT_SYMBOL (sp, i)]++; | |
206 | from_state[k] = state; | |
207 | to_state[k] = sp->shifts[i]; | |
208 | } | |
209 | } | |
210 | ||
211 | XFREE (temp_map + ntokens); | |
212 | } | |
213 | ||
214 | ||
215 | ||
216 | /*----------------------------------------------------------. | |
217 | | Map a state/symbol pair into its numeric representation. | | |
218 | `----------------------------------------------------------*/ | |
219 | ||
220 | static int | |
221 | map_goto (int state, int symbol) | |
222 | { | |
223 | int high; | |
224 | int low; | |
225 | int middle; | |
226 | int s; | |
227 | ||
228 | low = goto_map[symbol]; | |
229 | high = goto_map[symbol + 1] - 1; | |
230 | ||
231 | while (low <= high) | |
232 | { | |
233 | middle = (low + high) / 2; | |
234 | s = from_state[middle]; | |
235 | if (s == state) | |
236 | return middle; | |
237 | else if (s < state) | |
238 | low = middle + 1; | |
239 | else | |
240 | high = middle - 1; | |
241 | } | |
242 | ||
243 | assert (0); | |
244 | /* NOTREACHED */ | |
245 | return 0; | |
246 | } | |
247 | ||
248 | ||
249 | static void | |
250 | initialize_F (void) | |
251 | { | |
252 | short **reads = XCALLOC (short *, ngotos); | |
253 | short *edge = XCALLOC (short, ngotos + 1); | |
254 | int nedges = 0; | |
255 | ||
256 | int i; | |
257 | ||
258 | F = XCALLOC (unsigned, ngotos * tokensetsize); | |
259 | ||
260 | for (i = 0; i < ngotos; i++) | |
261 | { | |
262 | int stateno = to_state[i]; | |
263 | shifts *sp = states[stateno]->shifts; | |
264 | ||
265 | int j; | |
266 | for (j = 0; j < sp->nshifts && SHIFT_IS_SHIFT (sp, j); j++) | |
267 | SETBIT (F (i), SHIFT_SYMBOL (sp, j)); | |
268 | ||
269 | for (; j < sp->nshifts; j++) | |
270 | { | |
271 | int symbol = SHIFT_SYMBOL (sp, j); | |
272 | if (nullable[symbol]) | |
273 | edge[nedges++] = map_goto (stateno, symbol); | |
274 | } | |
275 | ||
276 | if (nedges) | |
277 | { | |
278 | reads[i] = XCALLOC (short, nedges + 1); | |
279 | shortcpy (reads[i], edge, nedges); | |
280 | reads[i][nedges] = -1; | |
281 | nedges = 0; | |
282 | } | |
283 | } | |
284 | ||
285 | digraph (reads); | |
286 | ||
287 | for (i = 0; i < ngotos; i++) | |
288 | XFREE (reads[i]); | |
289 | ||
290 | XFREE (reads); | |
291 | XFREE (edge); | |
292 | } | |
293 | ||
294 | ||
295 | static void | |
296 | add_lookback_edge (state_t *state, int ruleno, int gotono) | |
297 | { | |
298 | int i; | |
299 | shorts *sp; | |
300 | ||
301 | for (i = 0; i < state->nlookaheads; ++i) | |
302 | if (LAruleno[state->lookaheadsp + i] == ruleno) | |
303 | break; | |
304 | ||
305 | assert (LAruleno[state->lookaheadsp + i] == ruleno); | |
306 | ||
307 | sp = XCALLOC (shorts, 1); | |
308 | sp->next = lookback[state->lookaheadsp + i]; | |
309 | sp->value = gotono; | |
310 | lookback[state->lookaheadsp + i] = sp; | |
311 | } | |
312 | ||
313 | ||
314 | static void | |
315 | matrix_print (FILE *out, short **matrix, int n) | |
316 | { | |
317 | int i, j; | |
318 | ||
319 | for (i = 0; i < n; ++i) | |
320 | { | |
321 | fprintf (out, "%3d: ", i); | |
322 | if (matrix[i]) | |
323 | for (j = 0; matrix[i][j] != -1; ++j) | |
324 | fprintf (out, "%3d ", matrix[i][j]); | |
325 | fputc ('\n', out); | |
326 | } | |
327 | fputc ('\n', out); | |
328 | } | |
329 | ||
330 | /*-------------------------------------------------------------------. | |
331 | | Return the transpose of R_ARG, of size N. Destroy R_ARG, as it is | | |
332 | | replaced with the result. | | |
333 | | | | |
334 | | R_ARG[I] is NULL or a -1 terminated list of numbers. | | |
335 | | | | |
336 | | RESULT[NUM] is NULL or the -1 terminated list of the I such as NUM | | |
337 | | is in R_ARG[I]. | | |
338 | `-------------------------------------------------------------------*/ | |
339 | ||
340 | static short ** | |
341 | transpose (short **R_arg, int n) | |
342 | { | |
343 | /* The result. */ | |
344 | short **new_R = XCALLOC (short *, n); | |
345 | /* END_R[I] -- next entry of NEW_R[I]. */ | |
346 | short **end_R = XCALLOC (short *, n); | |
347 | /* NEDGES[I] -- total size of NEW_R[I]. */ | |
348 | short *nedges = XCALLOC (short, n); | |
349 | int i, j; | |
350 | ||
351 | if (trace_flag) | |
352 | { | |
353 | fputs ("transpose: input\n", stderr); | |
354 | matrix_print (stderr, R_arg, n); | |
355 | } | |
356 | ||
357 | /* Count. */ | |
358 | for (i = 0; i < n; i++) | |
359 | if (R_arg[i]) | |
360 | for (j = 0; R_arg[i][j] >= 0; ++j) | |
361 | ++nedges[R_arg[i][j]]; | |
362 | ||
363 | /* Allocate. */ | |
364 | for (i = 0; i < n; i++) | |
365 | if (nedges[i] > 0) | |
366 | { | |
367 | short *sp = XCALLOC (short, nedges[i] + 1); | |
368 | sp[nedges[i]] = -1; | |
369 | new_R[i] = sp; | |
370 | end_R[i] = sp; | |
371 | } | |
372 | ||
373 | /* Store. */ | |
374 | for (i = 0; i < n; i++) | |
375 | if (R_arg[i]) | |
376 | for (j = 0; R_arg[i][j] >= 0; ++j) | |
377 | { | |
378 | *end_R[R_arg[i][j]] = i; | |
379 | ++end_R[R_arg[i][j]]; | |
380 | } | |
381 | ||
382 | free (nedges); | |
383 | free (end_R); | |
384 | ||
385 | /* Free the input: it is replaced with the result. */ | |
386 | for (i = 0; i < n; i++) | |
387 | XFREE (R_arg[i]); | |
388 | free (R_arg); | |
389 | ||
390 | if (trace_flag) | |
391 | { | |
392 | fputs ("transpose: output\n", stderr); | |
393 | matrix_print (stderr, new_R, n); | |
394 | } | |
395 | ||
396 | return new_R; | |
397 | } | |
398 | ||
399 | ||
400 | static void | |
401 | build_relations (void) | |
402 | { | |
403 | short *edge = XCALLOC (short, ngotos + 1); | |
404 | short *states1 = XCALLOC (short, ritem_longest_rhs () + 1); | |
405 | int i; | |
406 | ||
407 | includes = XCALLOC (short *, ngotos); | |
408 | ||
409 | for (i = 0; i < ngotos; i++) | |
410 | { | |
411 | int nedges = 0; | |
412 | int symbol1 = states[to_state[i]]->accessing_symbol; | |
413 | short *rulep; | |
414 | ||
415 | for (rulep = derives[symbol1]; *rulep > 0; rulep++) | |
416 | { | |
417 | int done; | |
418 | int length = 1; | |
419 | short *rp; | |
420 | state_t *state = states[from_state[i]]; | |
421 | states1[0] = state->number; | |
422 | ||
423 | for (rp = &ritem[rules[*rulep].rhs]; *rp >= 0; rp++) | |
424 | { | |
425 | shifts *sp = state->shifts; | |
426 | int j; | |
427 | for (j = 0; j < sp->nshifts; j++) | |
428 | { | |
429 | state = states[sp->shifts[j]]; | |
430 | if (state->accessing_symbol == *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 | edge[nedges++] = map_goto (states1[--length], *rp); | |
450 | if (nullable[*rp]) | |
451 | done = 0; | |
452 | } | |
453 | } | |
454 | } | |
455 | ||
456 | if (nedges) | |
457 | { | |
458 | int j; | |
459 | includes[i] = XCALLOC (short, nedges + 1); | |
460 | for (j = 0; j < nedges; j++) | |
461 | includes[i][j] = edge[j]; | |
462 | includes[i][nedges] = -1; | |
463 | } | |
464 | } | |
465 | ||
466 | XFREE (edge); | |
467 | XFREE (states1); | |
468 | ||
469 | includes = transpose (includes, ngotos); | |
470 | } | |
471 | ||
472 | ||
473 | ||
474 | static void | |
475 | compute_FOLLOWS (void) | |
476 | { | |
477 | int i; | |
478 | ||
479 | digraph (includes); | |
480 | ||
481 | for (i = 0; i < ngotos; i++) | |
482 | XFREE (includes[i]); | |
483 | ||
484 | XFREE (includes); | |
485 | } | |
486 | ||
487 | ||
488 | static void | |
489 | compute_lookaheads (void) | |
490 | { | |
491 | size_t i; | |
492 | shorts *sp; | |
493 | ||
494 | for (i = 0; i < nLA; i++) | |
495 | for (sp = lookback[i]; sp; sp = sp->next) | |
496 | { | |
497 | int size = LA (i + 1) - LA (i); | |
498 | int j; | |
499 | for (j = 0; j < size; ++j) | |
500 | LA (i)[j] |= F (sp->value)[j]; | |
501 | } | |
502 | ||
503 | /* Free LOOKBACK. */ | |
504 | for (i = 0; i < nLA; i++) | |
505 | LIST_FREE (shorts, lookback[i]); | |
506 | ||
507 | XFREE (lookback); | |
508 | XFREE (F); | |
509 | } | |
510 | ||
511 | ||
512 | /*--------------------------------------. | |
513 | | Initializing the lookaheads members. | | |
514 | `--------------------------------------*/ | |
515 | ||
516 | static void | |
517 | initialize_lookaheads (void) | |
518 | { | |
519 | int i; | |
520 | nLA = 0; | |
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 | states[i]->lookaheadsp = nLA; | |
547 | nLA += nlookaheads; | |
548 | } | |
549 | } | |
550 | ||
551 | ||
552 | /*---------------------------------------. | |
553 | | Output the lookaheads for each state. | | |
554 | `---------------------------------------*/ | |
555 | ||
556 | static void | |
557 | lookaheads_print (FILE *out) | |
558 | { | |
559 | int i, j, k; | |
560 | fprintf (out, "Lookaheads: BEGIN\n"); | |
561 | for (i = 0; i < nstates; ++i) | |
562 | { | |
563 | fprintf (out, "State %d: %d lookaheads\n", | |
564 | i, states[i]->nlookaheads); | |
565 | ||
566 | for (j = 0; j < states[i]->nlookaheads; ++j) | |
567 | for (k = 0; k < ntokens; ++k) | |
568 | if (BITISSET (LA (states[i]->lookaheadsp + j), j)) | |
569 | fprintf (out, " on %d (%s) -> rule %d\n", | |
570 | k, symbols[k]->tag, | |
571 | -LAruleno[states[i]->lookaheadsp + j] - 1); | |
572 | } | |
573 | fprintf (out, "Lookaheads: END\n"); | |
574 | } | |
575 | ||
576 | void | |
577 | lalr (void) | |
578 | { | |
579 | tokensetsize = WORDSIZE (ntokens); | |
580 | ||
581 | initialize_lookaheads (); | |
582 | initialize_LA (); | |
583 | set_goto_map (); | |
584 | initialize_F (); | |
585 | build_relations (); | |
586 | compute_FOLLOWS (); | |
587 | compute_lookaheads (); | |
588 | ||
589 | if (trace_flag) | |
590 | lookaheads_print (stderr); | |
591 | } |