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1 | /* Compute lookahead criteria for Bison. | |
2 | ||
3 | Copyright (C) 1984, 1986, 1989, 2000-2013 Free Software Foundation, | |
4 | Inc. | |
5 | ||
6 | This file is part of Bison, the GNU Compiler Compiler. | |
7 | ||
8 | This program is free software: you can redistribute it and/or modify | |
9 | it under the terms of the GNU General Public License as published by | |
10 | the Free Software Foundation, either version 3 of the License, or | |
11 | (at your option) any later version. | |
12 | ||
13 | This program is distributed in the hope that it will be useful, | |
14 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
15 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
16 | GNU General Public License for more details. | |
17 | ||
18 | You should have received a copy of the GNU General Public License | |
19 | along with this program. If not, see <http://www.gnu.org/licenses/>. */ | |
20 | ||
21 | ||
22 | /* Find which rules need lookahead in each state, and which lookahead | |
23 | tokens they accept. */ | |
24 | ||
25 | #include <config.h> | |
26 | #include "system.h" | |
27 | ||
28 | #include <bitset.h> | |
29 | #include <bitsetv.h> | |
30 | ||
31 | #include "LR0.h" | |
32 | #include "complain.h" | |
33 | #include "derives.h" | |
34 | #include "getargs.h" | |
35 | #include "gram.h" | |
36 | #include "lalr.h" | |
37 | #include "muscle-tab.h" | |
38 | #include "nullable.h" | |
39 | #include "reader.h" | |
40 | #include "relation.h" | |
41 | #include "symtab.h" | |
42 | ||
43 | goto_number *goto_map; | |
44 | goto_number ngotos; | |
45 | state_number *from_state; | |
46 | state_number *to_state; | |
47 | bitsetv goto_follows = NULL; | |
48 | ||
49 | /* Linked list of goto numbers. */ | |
50 | typedef struct goto_list | |
51 | { | |
52 | struct goto_list *next; | |
53 | goto_number value; | |
54 | } goto_list; | |
55 | ||
56 | ||
57 | /* LA is an NLA by NTOKENS matrix of bits. LA[l, i] is 1 if the rule | |
58 | LArule[l] is applicable in the appropriate state when the next | |
59 | token is symbol i. If LA[l, i] and LA[l, j] are both 1 for i != j, | |
60 | it is a conflict. */ | |
61 | ||
62 | static bitsetv LA = NULL; | |
63 | size_t nLA; | |
64 | ||
65 | ||
66 | static goto_number **includes; | |
67 | static goto_list **lookback; | |
68 | ||
69 | ||
70 | ||
71 | ||
72 | void | |
73 | set_goto_map (void) | |
74 | { | |
75 | state_number s; | |
76 | goto_number *temp_map; | |
77 | ||
78 | goto_map = xcalloc (nvars + 1, sizeof *goto_map); | |
79 | temp_map = xnmalloc (nvars + 1, sizeof *temp_map); | |
80 | ||
81 | ngotos = 0; | |
82 | for (s = 0; s < nstates; ++s) | |
83 | { | |
84 | transitions *sp = states[s]->transitions; | |
85 | int i; | |
86 | for (i = sp->num - 1; i >= 0 && TRANSITION_IS_GOTO (sp, i); --i) | |
87 | { | |
88 | ngotos++; | |
89 | ||
90 | /* Abort if (ngotos + 1) would overflow. */ | |
91 | aver (ngotos != GOTO_NUMBER_MAXIMUM); | |
92 | ||
93 | goto_map[TRANSITION_SYMBOL (sp, i) - ntokens]++; | |
94 | } | |
95 | } | |
96 | ||
97 | { | |
98 | goto_number k = 0; | |
99 | int i; | |
100 | for (i = ntokens; i < nsyms; i++) | |
101 | { | |
102 | temp_map[i - ntokens] = k; | |
103 | k += goto_map[i - ntokens]; | |
104 | } | |
105 | ||
106 | for (i = ntokens; i < nsyms; i++) | |
107 | goto_map[i - ntokens] = temp_map[i - ntokens]; | |
108 | ||
109 | goto_map[nsyms - ntokens] = ngotos; | |
110 | temp_map[nsyms - ntokens] = ngotos; | |
111 | } | |
112 | ||
113 | from_state = xcalloc (ngotos, sizeof *from_state); | |
114 | to_state = xcalloc (ngotos, sizeof *to_state); | |
115 | ||
116 | for (s = 0; s < nstates; ++s) | |
117 | { | |
118 | transitions *sp = states[s]->transitions; | |
119 | int i; | |
120 | for (i = sp->num - 1; i >= 0 && TRANSITION_IS_GOTO (sp, i); --i) | |
121 | { | |
122 | goto_number k = temp_map[TRANSITION_SYMBOL (sp, i) - ntokens]++; | |
123 | from_state[k] = s; | |
124 | to_state[k] = sp->states[i]->number; | |
125 | } | |
126 | } | |
127 | ||
128 | free (temp_map); | |
129 | } | |
130 | ||
131 | ||
132 | goto_number | |
133 | map_goto (state_number s0, symbol_number sym) | |
134 | { | |
135 | goto_number high; | |
136 | goto_number low; | |
137 | goto_number middle; | |
138 | state_number s; | |
139 | ||
140 | low = goto_map[sym - ntokens]; | |
141 | high = goto_map[sym - ntokens + 1] - 1; | |
142 | ||
143 | for (;;) | |
144 | { | |
145 | aver (low <= high); | |
146 | middle = (low + high) / 2; | |
147 | s = from_state[middle]; | |
148 | if (s == s0) | |
149 | return middle; | |
150 | else if (s < s0) | |
151 | low = middle + 1; | |
152 | else | |
153 | high = middle - 1; | |
154 | } | |
155 | } | |
156 | ||
157 | ||
158 | static void | |
159 | initialize_F (void) | |
160 | { | |
161 | goto_number **reads = xnmalloc (ngotos, sizeof *reads); | |
162 | goto_number *edge = xnmalloc (ngotos + 1, sizeof *edge); | |
163 | goto_number nedges = 0; | |
164 | ||
165 | goto_number i; | |
166 | ||
167 | goto_follows = bitsetv_create (ngotos, ntokens, BITSET_FIXED); | |
168 | ||
169 | for (i = 0; i < ngotos; i++) | |
170 | { | |
171 | state_number stateno = to_state[i]; | |
172 | transitions *sp = states[stateno]->transitions; | |
173 | ||
174 | int j; | |
175 | FOR_EACH_SHIFT (sp, j) | |
176 | bitset_set (goto_follows[i], TRANSITION_SYMBOL (sp, j)); | |
177 | ||
178 | for (; j < sp->num; j++) | |
179 | { | |
180 | symbol_number sym = TRANSITION_SYMBOL (sp, j); | |
181 | if (nullable[sym - ntokens]) | |
182 | edge[nedges++] = map_goto (stateno, sym); | |
183 | } | |
184 | ||
185 | if (nedges == 0) | |
186 | reads[i] = NULL; | |
187 | else | |
188 | { | |
189 | reads[i] = xnmalloc (nedges + 1, sizeof reads[i][0]); | |
190 | memcpy (reads[i], edge, nedges * sizeof edge[0]); | |
191 | reads[i][nedges] = END_NODE; | |
192 | nedges = 0; | |
193 | } | |
194 | } | |
195 | ||
196 | relation_digraph (reads, ngotos, &goto_follows); | |
197 | ||
198 | for (i = 0; i < ngotos; i++) | |
199 | free (reads[i]); | |
200 | ||
201 | free (reads); | |
202 | free (edge); | |
203 | } | |
204 | ||
205 | ||
206 | static void | |
207 | add_lookback_edge (state *s, rule *r, goto_number gotono) | |
208 | { | |
209 | int ri = state_reduction_find (s, r); | |
210 | goto_list *sp = xmalloc (sizeof *sp); | |
211 | sp->next = lookback[(s->reductions->lookahead_tokens - LA) + ri]; | |
212 | sp->value = gotono; | |
213 | lookback[(s->reductions->lookahead_tokens - LA) + ri] = sp; | |
214 | } | |
215 | ||
216 | ||
217 | ||
218 | static void | |
219 | build_relations (void) | |
220 | { | |
221 | goto_number *edge = xnmalloc (ngotos + 1, sizeof *edge); | |
222 | state_number *states1 = xnmalloc (ritem_longest_rhs () + 1, sizeof *states1); | |
223 | goto_number i; | |
224 | ||
225 | includes = xnmalloc (ngotos, sizeof *includes); | |
226 | ||
227 | for (i = 0; i < ngotos; i++) | |
228 | { | |
229 | int nedges = 0; | |
230 | symbol_number symbol1 = states[to_state[i]]->accessing_symbol; | |
231 | rule **rulep; | |
232 | ||
233 | for (rulep = derives[symbol1 - ntokens]; *rulep; rulep++) | |
234 | { | |
235 | bool done; | |
236 | int length = 1; | |
237 | item_number const *rp; | |
238 | state *s = states[from_state[i]]; | |
239 | states1[0] = s->number; | |
240 | ||
241 | for (rp = (*rulep)->rhs; ! item_number_is_rule_number (*rp); rp++) | |
242 | { | |
243 | s = transitions_to (s->transitions, | |
244 | item_number_as_symbol_number (*rp)); | |
245 | states1[length++] = s->number; | |
246 | } | |
247 | ||
248 | if (!s->consistent) | |
249 | add_lookback_edge (s, *rulep, i); | |
250 | ||
251 | length--; | |
252 | done = false; | |
253 | while (!done) | |
254 | { | |
255 | done = true; | |
256 | /* Each rhs ends in a rule number, and there is a | |
257 | sentinel (ritem[-1]=0) before the first rhs, so it is safe to | |
258 | decrement RP here. */ | |
259 | rp--; | |
260 | if (ISVAR (*rp)) | |
261 | { | |
262 | /* Downcasting from item_number to symbol_number. */ | |
263 | edge[nedges++] = map_goto (states1[--length], | |
264 | item_number_as_symbol_number (*rp)); | |
265 | if (nullable[*rp - ntokens]) | |
266 | done = false; | |
267 | } | |
268 | } | |
269 | } | |
270 | ||
271 | if (nedges == 0) | |
272 | includes[i] = NULL; | |
273 | else | |
274 | { | |
275 | int j; | |
276 | includes[i] = xnmalloc (nedges + 1, sizeof includes[i][0]); | |
277 | for (j = 0; j < nedges; j++) | |
278 | includes[i][j] = edge[j]; | |
279 | includes[i][nedges] = END_NODE; | |
280 | } | |
281 | } | |
282 | ||
283 | free (edge); | |
284 | free (states1); | |
285 | ||
286 | relation_transpose (&includes, ngotos); | |
287 | } | |
288 | ||
289 | ||
290 | ||
291 | static void | |
292 | compute_FOLLOWS (void) | |
293 | { | |
294 | goto_number i; | |
295 | ||
296 | relation_digraph (includes, ngotos, &goto_follows); | |
297 | ||
298 | for (i = 0; i < ngotos; i++) | |
299 | free (includes[i]); | |
300 | ||
301 | free (includes); | |
302 | } | |
303 | ||
304 | ||
305 | static void | |
306 | compute_lookahead_tokens (void) | |
307 | { | |
308 | size_t i; | |
309 | goto_list *sp; | |
310 | ||
311 | for (i = 0; i < nLA; i++) | |
312 | for (sp = lookback[i]; sp; sp = sp->next) | |
313 | bitset_or (LA[i], LA[i], goto_follows[sp->value]); | |
314 | ||
315 | /* Free LOOKBACK. */ | |
316 | for (i = 0; i < nLA; i++) | |
317 | LIST_FREE (goto_list, lookback[i]); | |
318 | ||
319 | free (lookback); | |
320 | } | |
321 | ||
322 | ||
323 | /*----------------------------------------------------. | |
324 | | Count the number of lookahead tokens required for S | | |
325 | | (N_LOOKAHEAD_TOKENS member). | | |
326 | `----------------------------------------------------*/ | |
327 | ||
328 | static int | |
329 | state_lookahead_tokens_count (state *s, bool default_reduction_only_for_accept) | |
330 | { | |
331 | int n_lookahead_tokens = 0; | |
332 | reductions *rp = s->reductions; | |
333 | transitions *sp = s->transitions; | |
334 | ||
335 | /* Transitions are only disabled during conflict resolution, and that | |
336 | hasn't happened yet, so there should be no need to check that | |
337 | transition 0 hasn't been disabled before checking if it is a shift. | |
338 | However, this check was performed at one time, so we leave it as an | |
339 | aver. */ | |
340 | aver (sp->num == 0 || !TRANSITION_IS_DISABLED (sp, 0)); | |
341 | ||
342 | /* We need a lookahead either to distinguish different reductions | |
343 | (i.e., there are two or more), or to distinguish a reduction from a | |
344 | shift. Otherwise, it is straightforward, and the state is | |
345 | 'consistent'. However, do not treat a state with any reductions as | |
346 | consistent unless it is the accepting state (because there is never | |
347 | a lookahead token that makes sense there, and so no lookahead token | |
348 | should be read) if the user has otherwise disabled default | |
349 | reductions. */ | |
350 | if (rp->num > 1 | |
351 | || (rp->num == 1 && sp->num && TRANSITION_IS_SHIFT (sp, 0)) | |
352 | || (rp->num == 1 && rp->rules[0]->number != 0 | |
353 | && default_reduction_only_for_accept)) | |
354 | n_lookahead_tokens += rp->num; | |
355 | else | |
356 | s->consistent = 1; | |
357 | ||
358 | return n_lookahead_tokens; | |
359 | } | |
360 | ||
361 | ||
362 | /*----------------------------------------------------. | |
363 | | Compute LA, NLA, and the lookahead_tokens members. | | |
364 | `----------------------------------------------------*/ | |
365 | ||
366 | void | |
367 | initialize_LA (void) | |
368 | { | |
369 | state_number i; | |
370 | bitsetv pLA; | |
371 | bool default_reduction_only_for_accept; | |
372 | { | |
373 | char *default_reductions = | |
374 | muscle_percent_define_get ("lr.default-reduction"); | |
375 | default_reduction_only_for_accept = STREQ (default_reductions, "accepting"); | |
376 | free (default_reductions); | |
377 | } | |
378 | ||
379 | /* Compute the total number of reductions requiring a lookahead. */ | |
380 | nLA = 0; | |
381 | for (i = 0; i < nstates; i++) | |
382 | nLA += | |
383 | state_lookahead_tokens_count (states[i], | |
384 | default_reduction_only_for_accept); | |
385 | /* Avoid having to special case 0. */ | |
386 | if (!nLA) | |
387 | nLA = 1; | |
388 | ||
389 | pLA = LA = bitsetv_create (nLA, ntokens, BITSET_FIXED); | |
390 | ||
391 | /* Initialize the members LOOKAHEAD_TOKENS for each state whose reductions | |
392 | require lookahead tokens. */ | |
393 | for (i = 0; i < nstates; i++) | |
394 | { | |
395 | int count = | |
396 | state_lookahead_tokens_count (states[i], | |
397 | default_reduction_only_for_accept); | |
398 | if (count) | |
399 | { | |
400 | states[i]->reductions->lookahead_tokens = pLA; | |
401 | pLA += count; | |
402 | } | |
403 | } | |
404 | } | |
405 | ||
406 | ||
407 | /*---------------------------------------------. | |
408 | | Output the lookahead tokens for each state. | | |
409 | `---------------------------------------------*/ | |
410 | ||
411 | static void | |
412 | lookahead_tokens_print (FILE *out) | |
413 | { | |
414 | state_number i; | |
415 | int j, k; | |
416 | fprintf (out, "Lookahead tokens: BEGIN\n"); | |
417 | for (i = 0; i < nstates; ++i) | |
418 | { | |
419 | reductions *reds = states[i]->reductions; | |
420 | bitset_iterator iter; | |
421 | int n_lookahead_tokens = 0; | |
422 | ||
423 | if (reds->lookahead_tokens) | |
424 | for (k = 0; k < reds->num; ++k) | |
425 | if (reds->lookahead_tokens[k]) | |
426 | ++n_lookahead_tokens; | |
427 | ||
428 | fprintf (out, "State %d: %d lookahead tokens\n", | |
429 | i, n_lookahead_tokens); | |
430 | ||
431 | if (reds->lookahead_tokens) | |
432 | for (j = 0; j < reds->num; ++j) | |
433 | BITSET_FOR_EACH (iter, reds->lookahead_tokens[j], k, 0) | |
434 | { | |
435 | fprintf (out, " on %d (%s) -> rule %d\n", | |
436 | k, symbols[k]->tag, | |
437 | reds->rules[j]->number); | |
438 | }; | |
439 | } | |
440 | fprintf (out, "Lookahead tokens: END\n"); | |
441 | } | |
442 | ||
443 | void | |
444 | lalr (void) | |
445 | { | |
446 | initialize_LA (); | |
447 | set_goto_map (); | |
448 | initialize_F (); | |
449 | lookback = xcalloc (nLA, sizeof *lookback); | |
450 | build_relations (); | |
451 | compute_FOLLOWS (); | |
452 | compute_lookahead_tokens (); | |
453 | ||
454 | if (trace_flag & trace_sets) | |
455 | lookahead_tokens_print (stderr); | |
456 | } | |
457 | ||
458 | ||
459 | void | |
460 | lalr_update_state_numbers (state_number old_to_new[], state_number nstates_old) | |
461 | { | |
462 | goto_number ngotos_reachable = 0; | |
463 | symbol_number nonterminal = 0; | |
464 | aver (nsyms == nvars + ntokens); | |
465 | { | |
466 | goto_number i; | |
467 | for (i = 0; i < ngotos; ++i) | |
468 | { | |
469 | while (i == goto_map[nonterminal]) | |
470 | goto_map[nonterminal++] = ngotos_reachable; | |
471 | /* If old_to_new[from_state[i]] = nstates_old, remove this goto | |
472 | entry. */ | |
473 | if (old_to_new[from_state[i]] != nstates_old) | |
474 | { | |
475 | /* from_state[i] is not removed, so it and thus to_state[i] are | |
476 | reachable, so to_state[i] != nstates_old. */ | |
477 | aver (old_to_new[to_state[i]] != nstates_old); | |
478 | from_state[ngotos_reachable] = old_to_new[from_state[i]]; | |
479 | to_state[ngotos_reachable] = old_to_new[to_state[i]]; | |
480 | ++ngotos_reachable; | |
481 | } | |
482 | } | |
483 | } | |
484 | while (nonterminal <= nvars) | |
485 | { | |
486 | aver (ngotos == goto_map[nonterminal]); | |
487 | goto_map[nonterminal++] = ngotos_reachable; | |
488 | } | |
489 | ngotos = ngotos_reachable; | |
490 | } | |
491 | ||
492 | ||
493 | void | |
494 | lalr_free (void) | |
495 | { | |
496 | state_number s; | |
497 | for (s = 0; s < nstates; ++s) | |
498 | states[s]->reductions->lookahead_tokens = NULL; | |
499 | bitsetv_free (LA); | |
500 | } |