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1/* Grammar reduction for Bison.
2 Copyright (C) 1988, 1989 Free Software Foundation, Inc.
3
4This file is part of Bison, the GNU Compiler Compiler.
5
6Bison is free software; you can redistribute it and/or modify
7it under the terms of the GNU General Public License as published by
8the Free Software Foundation; either version 2, or (at your option)
9any later version.
10
11Bison is distributed in the hope that it will be useful,
12but WITHOUT ANY WARRANTY; without even the implied warranty of
13MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14GNU General Public License for more details.
15
16You should have received a copy of the GNU General Public License
17along with Bison; see the file COPYING. If not, write to
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18the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
19Boston, MA 02111-1307, USA. */
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20
21
22/*
23 * Reduce the grammar: Find and eliminate unreachable terminals,
24 * nonterminals, and productions. David S. Bakin.
25 */
26
27/*
28 * Don't eliminate unreachable terminals: They may be used by the user's
29 * parser.
30 */
31
32#include <stdio.h>
33#include "system.h"
34#include "files.h"
35#include "gram.h"
36#include "machine.h"
7612000c 37#include "alloc.h"
a0f6b076 38#include "complain.h"
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39
40
41extern char **tags; /* reader.c */
42extern int verboseflag; /* getargs.c */
43static int statisticsflag; /* XXXXXXX */
d2729d44 44extern int fixed_outfiles;
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45
46#ifndef TRUE
47#define TRUE (1)
48#define FALSE (0)
49#endif
50typedef int bool;
51typedef unsigned *BSet;
52typedef short *rule;
53
54
55/*
56 * N is set of all nonterminals which are not useless. P is set of all rules
57 * which have no useless nonterminals in their RHS. V is the set of all
58 * accessible symbols.
59 */
60
61static BSet N, P, V, V1;
62
63static int nuseful_productions, nuseless_productions,
64 nuseful_nonterminals, nuseless_nonterminals;
65
66
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67extern void reduce_grammar PARAMS((void));
68static bool bits_equal PARAMS((BSet, BSet, int));
69static int nbits PARAMS((unsigned));
70static int bits_size PARAMS((BSet, int));
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71static void useless_nonterminals PARAMS((void));
72static void inaccessable_symbols PARAMS((void));
73static void reduce_grammar_tables PARAMS((void));
74static void print_results PARAMS((void));
75static void print_notices PARAMS((void));
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76
77#if 0 /* XXX currently unused. */
78static void dump_grammar PARAMS((void));
79#endif
572909b5 80
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81\f
82
4a120d45 83static bool
d2729d44 84bits_equal (BSet L, BSet R, int n)
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85{
86 int i;
87
88 for (i = n - 1; i >= 0; i--)
89 if (L[i] != R[i])
90 return FALSE;
91 return TRUE;
92}
93
94
4a120d45 95static int
d2729d44 96nbits (unsigned i)
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97{
98 int count = 0;
99
100 while (i != 0) {
2f9040d9 101 i ^= (i & ((unsigned) (- (int) i)));
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102 ++count;
103 }
104 return count;
105}
106
107
4a120d45 108static int
d2729d44 109bits_size (BSet S, int n)
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110{
111 int i, count = 0;
112
113 for (i = n - 1; i >= 0; i--)
114 count += nbits(S[i]);
115 return count;
116}
117\f
118void
d2729d44 119reduce_grammar (void)
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120{
121 bool reduced;
122
123 /* Allocate the global sets used to compute the reduced grammar */
124
125 N = NEW2(WORDSIZE(nvars), unsigned);
126 P = NEW2(WORDSIZE(nrules + 1), unsigned);
127 V = NEW2(WORDSIZE(nsyms), unsigned);
128 V1 = NEW2(WORDSIZE(nsyms), unsigned);
129
130 useless_nonterminals();
131 inaccessable_symbols();
132
133 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
134
135 if (verboseflag)
136 print_results();
137
138 if (reduced == FALSE)
139 goto done_reducing;
140
141 print_notices();
142
143 if (!BITISSET(N, start_symbol - ntokens))
a0f6b076 144 fatal (_("Start symbol %s does not derive any sentence"),
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145 tags[start_symbol]);
146
147 reduce_grammar_tables();
4a120d45 148#if 0
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149 if (verboseflag)
150 {
151 fprintf(foutput, "REDUCED GRAMMAR\n\n");
152 dump_grammar();
153 }
4a120d45 154#endif
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155 /**/ statisticsflag = FALSE; /* someday getopts should handle this */
156 if (statisticsflag == TRUE)
157 fprintf(stderr,
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158 _("reduced %s defines %d terminal%s, %d nonterminal%s\
159, and %d production%s.\n"), infile,
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160 ntokens, (ntokens == 1 ? "" : "s"),
161 nvars, (nvars == 1 ? "" : "s"),
162 nrules, (nrules == 1 ? "" : "s"));
163
164 done_reducing:
165
166 /* Free the global sets used to compute the reduced grammar */
167
168 FREE(N);
169 FREE(V);
170 FREE(P);
171
172}
173\f
174/*
175 * Another way to do this would be with a set for each production and then do
d2729d44 176 * subset tests against N0, but even for the C grammar the whole reducing
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177 * process takes only 2 seconds on my 8Mhz AT.
178 */
179
a083fbbf 180static bool
d2729d44 181useful_production (int i, BSet N0)
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182{
183 rule r;
184 short n;
185
186 /*
187 * A production is useful if all of the nonterminals in its RHS
188 * appear in the set of useful nonterminals.
189 */
190
191 for (r = &ritem[rrhs[i]]; *r > 0; r++)
192 if (ISVAR(n = *r))
d2729d44 193 if (!BITISSET(N0, n - ntokens))
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194 return FALSE;
195 return TRUE;
196}
197
198
199/* Remember that rules are 1-origin, symbols are 0-origin. */
200
a083fbbf 201static void
d2729d44 202useless_nonterminals (void)
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203{
204 BSet Np, Ns;
205 int i, n;
206
207 /*
208 * N is set as built. Np is set being built this iteration. P is set
209 * of all productions which have a RHS all in N.
210 */
211
212 Np = NEW2(WORDSIZE(nvars), unsigned);
213
214 /*
215 * The set being computed is a set of nonterminals which can derive
216 * the empty string or strings consisting of all terminals. At each
217 * iteration a nonterminal is added to the set if there is a
218 * production with that nonterminal as its LHS for which all the
219 * nonterminals in its RHS are already in the set. Iterate until the
220 * set being computed remains unchanged. Any nonterminals not in the
221 * set at that point are useless in that they will never be used in
222 * deriving a sentence of the language.
a083fbbf 223 *
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224 * This iteration doesn't use any special traversal over the
225 * productions. A set is kept of all productions for which all the
226 * nonterminals in the RHS are in useful. Only productions not in
227 * this set are scanned on each iteration. At the end, this set is
228 * saved to be used when finding useful productions: only productions
229 * in this set will appear in the final grammar.
230 */
231
232 n = 0;
233 while (1)
234 {
235 for (i = WORDSIZE(nvars) - 1; i >= 0; i--)
236 Np[i] = N[i];
237 for (i = 1; i <= nrules; i++)
238 {
239 if (!BITISSET(P, i))
240 {
241 if (useful_production(i, N))
242 {
243 SETBIT(Np, rlhs[i] - ntokens);
244 SETBIT(P, i);
245 }
246 }
247 }
248 if (bits_equal(N, Np, WORDSIZE(nvars)))
249 break;
250 Ns = Np;
251 Np = N;
252 N = Ns;
253 }
254 FREE(N);
255 N = Np;
256}
257\f
a083fbbf 258static void
d2729d44 259inaccessable_symbols (void)
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260{
261 BSet Vp, Vs, Pp;
262 int i, n;
263 short t;
264 rule r;
265
266 /*
267 * Find out which productions are reachable and which symbols are
268 * used. Starting with an empty set of productions and a set of
269 * symbols which only has the start symbol in it, iterate over all
270 * productions until the set of productions remains unchanged for an
271 * iteration. For each production which has a LHS in the set of
272 * reachable symbols, add the production to the set of reachable
273 * productions, and add all of the nonterminals in the RHS of the
274 * production to the set of reachable symbols.
a083fbbf 275 *
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276 * Consider only the (partially) reduced grammar which has only
277 * nonterminals in N and productions in P.
a083fbbf 278 *
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279 * The result is the set P of productions in the reduced grammar, and
280 * the set V of symbols in the reduced grammar.
a083fbbf 281 *
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282 * Although this algorithm also computes the set of terminals which are
283 * reachable, no terminal will be deleted from the grammar. Some
284 * terminals might not be in the grammar but might be generated by
285 * semantic routines, and so the user might want them available with
286 * specified numbers. (Is this true?) However, the nonreachable
287 * terminals are printed (if running in verbose mode) so that the user
288 * can know.
289 */
290
291 Vp = NEW2(WORDSIZE(nsyms), unsigned);
292 Pp = NEW2(WORDSIZE(nrules + 1), unsigned);
293
294 /* If the start symbol isn't useful, then nothing will be useful. */
295 if (!BITISSET(N, start_symbol - ntokens))
296 goto end_iteration;
297
298 SETBIT(V, start_symbol);
299
300 n = 0;
301 while (1)
302 {
303 for (i = WORDSIZE(nsyms) - 1; i >= 0; i--)
304 Vp[i] = V[i];
305 for (i = 1; i <= nrules; i++)
306 {
a083fbbf 307 if (!BITISSET(Pp, i) && BITISSET(P, i) &&
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308 BITISSET(V, rlhs[i]))
309 {
310 for (r = &ritem[rrhs[i]]; *r >= 0; r++)
311 {
312 if (ISTOKEN(t = *r)
313 || BITISSET(N, t - ntokens))
314 {
315 SETBIT(Vp, t);
316 }
317 }
318 SETBIT(Pp, i);
319 }
320 }
321 if (bits_equal(V, Vp, WORDSIZE(nsyms)))
322 {
323 break;
324 }
325 Vs = Vp;
326 Vp = V;
327 V = Vs;
328 }
329 end_iteration:
330
331 FREE(V);
332 V = Vp;
333
334 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
335 SETBIT(V, 0); /* end-of-input token */
336 SETBIT(V, 1); /* error token */
337 SETBIT(V, 2); /* some undefined token */
338
339 FREE(P);
340 P = Pp;
341
342 nuseful_productions = bits_size(P, WORDSIZE(nrules + 1));
343 nuseless_productions = nrules - nuseful_productions;
344
345 nuseful_nonterminals = 0;
346 for (i = ntokens; i < nsyms; i++)
347 if (BITISSET(V, i))
348 nuseful_nonterminals++;
349 nuseless_nonterminals = nvars - nuseful_nonterminals;
350
351 /* A token that was used in %prec should not be warned about. */
352 for (i = 1; i < nrules; i++)
353 if (rprecsym[i] != 0)
354 SETBIT(V1, rprecsym[i]);
355}
356\f
a083fbbf 357static void
d2729d44 358reduce_grammar_tables (void)
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359{
360/* This is turned off because we would need to change the numbers
361 in the case statements in the actions file. */
362#if 0
363 /* remove useless productions */
364 if (nuseless_productions > 0)
365 {
366 short np, pn, ni, pi;
367
368 np = 0;
369 ni = 0;
370 for (pn = 1; pn <= nrules; pn++)
371 {
372 if (BITISSET(P, pn))
373 {
374 np++;
375 if (pn != np)
376 {
377 rlhs[np] = rlhs[pn];
378 rline[np] = rline[pn];
379 rprec[np] = rprec[pn];
380 rassoc[np] = rassoc[pn];
381 rrhs[np] = rrhs[pn];
382 if (rrhs[np] != ni)
383 {
384 pi = rrhs[np];
385 rrhs[np] = ni;
386 while (ritem[pi] >= 0)
387 ritem[ni++] = ritem[pi++];
388 ritem[ni++] = -np;
389 }
390 } else {
391 while (ritem[ni++] >= 0);
392 }
393 }
394 }
395 ritem[ni] = 0;
396 nrules -= nuseless_productions;
397 nitems = ni;
398
399 /*
400 * Is it worth it to reduce the amount of memory for the
401 * grammar? Probably not.
402 */
403
404 }
405#endif /* 0 */
406 /* Disable useless productions,
407 since they may contain useless nonterms
408 that would get mapped below to -1 and confuse everyone. */
409 if (nuseless_productions > 0)
410 {
411 int pn;
412
413 for (pn = 1; pn <= nrules; pn++)
414 {
415 if (!BITISSET(P, pn))
416 {
417 rlhs[pn] = -1;
418 }
419 }
420 }
421
422 /* remove useless symbols */
423 if (nuseless_nonterminals > 0)
424 {
425
426 int i, n;
427/* short j; JF unused */
428 short *nontermmap;
429 rule r;
430
431 /*
432 * create a map of nonterminal number to new nonterminal
433 * number. -1 in the map means it was useless and is being
434 * eliminated.
435 */
436
437 nontermmap = NEW2(nvars, short) - ntokens;
438 for (i = ntokens; i < nsyms; i++)
439 nontermmap[i] = -1;
440
441 n = ntokens;
442 for (i = ntokens; i < nsyms; i++)
443 if (BITISSET(V, i))
444 nontermmap[i] = n++;
445
446 /* Shuffle elements of tables indexed by symbol number. */
447
448 for (i = ntokens; i < nsyms; i++)
449 {
450 n = nontermmap[i];
451 if (n >= 0)
452 {
453 sassoc[n] = sassoc[i];
454 sprec[n] = sprec[i];
455 tags[n] = tags[i];
456 } else {
457 free(tags[i]);
458 }
459 }
460
461 /* Replace all symbol numbers in valid data structures. */
462
463 for (i = 1; i <= nrules; i++)
464 {
465 /* Ignore the rules disabled above. */
466 if (rlhs[i] >= 0)
467 rlhs[i] = nontermmap[rlhs[i]];
468 if (ISVAR (rprecsym[i]))
469 /* Can this happen? */
470 rprecsym[i] = nontermmap[rprecsym[i]];
471 }
472
473 for (r = ritem; *r; r++)
474 if (ISVAR(*r))
475 *r = nontermmap[*r];
476
477 start_symbol = nontermmap[start_symbol];
478
479 nsyms -= nuseless_nonterminals;
480 nvars -= nuseless_nonterminals;
481
482 free(&nontermmap[ntokens]);
483 }
484}
485\f
a083fbbf 486static void
d2729d44 487print_results (void)
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488{
489 int i;
490/* short j; JF unused */
491 rule r;
492 bool b;
493
494 if (nuseless_nonterminals > 0)
495 {
a083fbbf 496 fprintf(foutput, _("Useless nonterminals:\n\n"));
572909b5
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497 for (i = ntokens; i < nsyms; i++)
498 if (!BITISSET(V, i))
499 fprintf(foutput, " %s\n", tags[i]);
500 }
501 b = FALSE;
502 for (i = 0; i < ntokens; i++)
503 {
504 if (!BITISSET(V, i) && !BITISSET(V1, i))
505 {
506 if (!b)
507 {
a083fbbf 508 fprintf(foutput, _("\n\nTerminals which are not used:\n\n"));
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509 b = TRUE;
510 }
511 fprintf(foutput, " %s\n", tags[i]);
512 }
513 }
514
515 if (nuseless_productions > 0)
516 {
a083fbbf 517 fprintf(foutput, _("\n\nUseless rules:\n\n"));
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518 for (i = 1; i <= nrules; i++)
519 {
520 if (!BITISSET(P, i))
521 {
522 fprintf(foutput, "#%-4d ", i);
523 fprintf(foutput, "%s :\t", tags[rlhs[i]]);
524 for (r = &ritem[rrhs[i]]; *r >= 0; r++)
525 {
526 fprintf(foutput, " %s", tags[*r]);
527 }
528 fprintf(foutput, ";\n");
529 }
530 }
531 }
532 if (nuseless_nonterminals > 0 || nuseless_productions > 0 || b)
533 fprintf(foutput, "\n\n");
534}
535\f
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536#if 0 /* XXX currently unused. */
537static void
d2729d44 538dump_grammar (void)
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539{
540 int i;
541 rule r;
542
543 fprintf(foutput,
544 "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n",
545 ntokens, nvars, nsyms, nrules, nitems);
a083fbbf
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546 fprintf(foutput, _("Variables\n---------\n\n"));
547 fprintf(foutput, _("Value Sprec Sassoc Tag\n"));
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548 for (i = ntokens; i < nsyms; i++)
549 fprintf(foutput, "%5d %5d %5d %s\n",
550 i, sprec[i], sassoc[i], tags[i]);
551 fprintf(foutput, "\n\n");
a083fbbf 552 fprintf(foutput, _("Rules\n-----\n\n"));
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553 for (i = 1; i <= nrules; i++)
554 {
a083fbbf 555 fprintf(foutput, "%-5d(%5d%5d)%5d : (@%-5d)",
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556 i, rprec[i], rassoc[i], rlhs[i], rrhs[i]);
557 for (r = &ritem[rrhs[i]]; *r > 0; r++)
558 fprintf(foutput, "%5d", *r);
559 fprintf(foutput, " [%d]\n", -(*r));
560 }
561 fprintf(foutput, "\n\n");
a083fbbf 562 fprintf(foutput, _("Rules interpreted\n-----------------\n\n"));
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563 for (i = 1; i <= nrules; i++)
564 {
565 fprintf(foutput, "%-5d %s :", i, tags[rlhs[i]]);
566 for (r = &ritem[rrhs[i]]; *r > 0; r++)
567 fprintf(foutput, " %s", tags[*r]);
568 fprintf(foutput, "\n");
569 }
570 fprintf(foutput, "\n\n");
571}
4a120d45 572#endif
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573
574
a083fbbf 575static void
d2729d44 576print_notices (void)
572909b5 577{
572909b5 578 if (fixed_outfiles && nuseless_productions)
a083fbbf 579 fprintf(stderr, _("%d rules never reduced\n"), nuseless_productions);
572909b5 580
a083fbbf 581 fprintf(stderr, _("%s contains "), infile);
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582
583 if (nuseless_nonterminals > 0)
584 {
a083fbbf 585 fprintf(stderr, _("%d useless nonterminal%s"),
572909b5
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586 nuseless_nonterminals,
587 (nuseless_nonterminals == 1 ? "" : "s"));
588 }
589 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
a083fbbf 590 fprintf(stderr, _(" and "));
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591
592 if (nuseless_productions > 0)
593 {
a083fbbf 594 fprintf(stderr, _("%d useless rule%s"),
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595 nuseless_productions,
596 (nuseless_productions == 1 ? "" : "s"));
597 }
d129c2c0 598 fprintf(stderr, "\n");
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599 fflush(stderr);
600}