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572909b5 1/* Grammar reduction for Bison.
015acc48 2 Copyright (C) 1988, 1989, 2000 Free Software Foundation, Inc.
572909b5 3
015acc48 4 This file is part of Bison, the GNU Compiler Compiler.
572909b5 5
015acc48
AD
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.
572909b5 10
015acc48
AD
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.
572909b5 15
015acc48
AD
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. */
572909b5
RS
20
21
015acc48
AD
22/* Reduce the grammar: Find and eliminate unreachable terminals,
23 nonterminals, and productions. David S. Bakin. */
572909b5 24
015acc48
AD
25/* Don't eliminate unreachable terminals: They may be used by the
26 user's parser. */
572909b5 27
572909b5 28#include "system.h"
ceed8467 29#include "getargs.h"
572909b5
RS
30#include "files.h"
31#include "gram.h"
7612000c 32#include "alloc.h"
a0f6b076 33#include "complain.h"
015acc48 34#include "reduce.h"
b2ca4022
AD
35#include "reader.h"
36#include "getargs.h"
572909b5 37
572909b5 38typedef unsigned *BSet;
015acc48 39typedef short *rule;
572909b5 40
572909b5 41
015acc48
AD
42/* N is set of all nonterminals which are not useless. P is set of
43 all rules which have no useless nonterminals in their RHS. V is
44 the set of all accessible symbols. */
572909b5 45
015acc48 46static BSet N, P, V, V1;
572909b5 47
015acc48
AD
48static int nuseful_productions;
49static int nuseless_productions;
50static int nuseful_nonterminals;
51static int nuseless_nonterminals;
572909b5 52\f
4a120d45 53static bool
d2729d44 54bits_equal (BSet L, BSet R, int n)
572909b5
RS
55{
56 int i;
57
58 for (i = n - 1; i >= 0; i--)
59 if (L[i] != R[i])
60 return FALSE;
61 return TRUE;
62}
63
64
4a120d45 65static int
d2729d44 66nbits (unsigned i)
572909b5
RS
67{
68 int count = 0;
69
015acc48
AD
70 while (i != 0)
71 {
72 i ^= (i & ((unsigned) (-(int) i)));
73 ++count;
74 }
572909b5
RS
75 return count;
76}
77
78
4a120d45 79static int
d2729d44 80bits_size (BSet S, int n)
572909b5
RS
81{
82 int i, count = 0;
83
84 for (i = n - 1; i >= 0; i--)
015acc48 85 count += nbits (S[i]);
572909b5
RS
86 return count;
87}
88\f
015acc48
AD
89/*-------------------------------------------------------------------.
90| Another way to do this would be with a set for each production and |
91| then do subset tests against N0, but even for the C grammar the |
92| whole reducing process takes only 2 seconds on my 8Mhz AT. |
93`-------------------------------------------------------------------*/
572909b5 94
a083fbbf 95static bool
d2729d44 96useful_production (int i, BSet N0)
572909b5 97{
015acc48 98 rule r;
572909b5
RS
99 short n;
100
015acc48
AD
101 /* A production is useful if all of the nonterminals in its appear
102 in the set of useful nonterminals. */
572909b5
RS
103
104 for (r = &ritem[rrhs[i]]; *r > 0; r++)
015acc48
AD
105 if (ISVAR (n = *r))
106 if (!BITISSET (N0, n - ntokens))
572909b5
RS
107 return FALSE;
108 return TRUE;
109}
110
111
015acc48
AD
112/*---------------------------------------------------------.
113| Remember that rules are 1-origin, symbols are 0-origin. |
114`---------------------------------------------------------*/
572909b5 115
a083fbbf 116static void
d2729d44 117useless_nonterminals (void)
572909b5
RS
118{
119 BSet Np, Ns;
015acc48
AD
120 int i, n;
121
122 /* N is set as built. Np is set being built this iteration. P is
123 set of all productions which have a RHS all in N. */
124
125 Np = NEW2 (WORDSIZE (nvars), unsigned);
126
127 /* The set being computed is a set of nonterminals which can derive
128 the empty string or strings consisting of all terminals. At each
129 iteration a nonterminal is added to the set if there is a
130 production with that nonterminal as its LHS for which all the
131 nonterminals in its RHS are already in the set. Iterate until
132 the set being computed remains unchanged. Any nonterminals not
133 in the set at that point are useless in that they will never be
134 used in deriving a sentence of the language.
135
136 This iteration doesn't use any special traversal over the
137 productions. A set is kept of all productions for which all the
138 nonterminals in the RHS are in useful. Only productions not in
139 this set are scanned on each iteration. At the end, this set is
140 saved to be used when finding useful productions: only
141 productions in this set will appear in the final grammar. */
572909b5
RS
142
143 n = 0;
144 while (1)
145 {
015acc48 146 for (i = WORDSIZE (nvars) - 1; i >= 0; i--)
572909b5
RS
147 Np[i] = N[i];
148 for (i = 1; i <= nrules; i++)
149 {
015acc48 150 if (!BITISSET (P, i))
572909b5 151 {
015acc48 152 if (useful_production (i, N))
572909b5 153 {
015acc48
AD
154 SETBIT (Np, rlhs[i] - ntokens);
155 SETBIT (P, i);
572909b5
RS
156 }
157 }
158 }
015acc48 159 if (bits_equal (N, Np, WORDSIZE (nvars)))
572909b5
RS
160 break;
161 Ns = Np;
162 Np = N;
163 N = Ns;
164 }
015acc48 165 FREE (N);
572909b5
RS
166 N = Np;
167}
015acc48
AD
168
169
a083fbbf 170static void
d2729d44 171inaccessable_symbols (void)
572909b5 172{
015acc48
AD
173 BSet Vp, Vs, Pp;
174 int i, n;
572909b5 175 short t;
015acc48
AD
176 rule r;
177
178 /* Find out which productions are reachable and which symbols are
179 used. Starting with an empty set of productions and a set of
180 symbols which only has the start symbol in it, iterate over all
181 productions until the set of productions remains unchanged for an
182 iteration. For each production which has a LHS in the set of
183 reachable symbols, add the production to the set of reachable
184 productions, and add all of the nonterminals in the RHS of the
185 production to the set of reachable symbols.
186
187 Consider only the (partially) reduced grammar which has only
188 nonterminals in N and productions in P.
189
190 The result is the set P of productions in the reduced grammar,
191 and the set V of symbols in the reduced grammar.
192
193 Although this algorithm also computes the set of terminals which
194 are reachable, no terminal will be deleted from the grammar. Some
195 terminals might not be in the grammar but might be generated by
196 semantic routines, and so the user might want them available with
197 specified numbers. (Is this true?) However, the nonreachable
198 terminals are printed (if running in verbose mode) so that the
199 user can know. */
200
201 Vp = NEW2 (WORDSIZE (nsyms), unsigned);
202 Pp = NEW2 (WORDSIZE (nrules + 1), unsigned);
572909b5
RS
203
204 /* If the start symbol isn't useful, then nothing will be useful. */
015acc48 205 if (!BITISSET (N, start_symbol - ntokens))
572909b5
RS
206 goto end_iteration;
207
015acc48 208 SETBIT (V, start_symbol);
572909b5
RS
209
210 n = 0;
211 while (1)
212 {
015acc48 213 for (i = WORDSIZE (nsyms) - 1; i >= 0; i--)
572909b5
RS
214 Vp[i] = V[i];
215 for (i = 1; i <= nrules; i++)
216 {
015acc48 217 if (!BITISSET (Pp, i) && BITISSET (P, i) && BITISSET (V, rlhs[i]))
572909b5
RS
218 {
219 for (r = &ritem[rrhs[i]]; *r >= 0; r++)
220 {
015acc48 221 if (ISTOKEN (t = *r) || BITISSET (N, t - ntokens))
572909b5 222 {
015acc48 223 SETBIT (Vp, t);
572909b5
RS
224 }
225 }
015acc48 226 SETBIT (Pp, i);
572909b5
RS
227 }
228 }
015acc48 229 if (bits_equal (V, Vp, WORDSIZE (nsyms)))
572909b5
RS
230 {
231 break;
232 }
233 Vs = Vp;
234 Vp = V;
235 V = Vs;
236 }
015acc48 237end_iteration:
572909b5 238
015acc48 239 FREE (V);
572909b5
RS
240 V = Vp;
241
242 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
015acc48
AD
243 SETBIT (V, 0); /* end-of-input token */
244 SETBIT (V, 1); /* error token */
245 SETBIT (V, 2); /* some undefined token */
572909b5 246
015acc48 247 FREE (P);
572909b5
RS
248 P = Pp;
249
015acc48 250 nuseful_productions = bits_size (P, WORDSIZE (nrules + 1));
572909b5
RS
251 nuseless_productions = nrules - nuseful_productions;
252
253 nuseful_nonterminals = 0;
254 for (i = ntokens; i < nsyms; i++)
015acc48 255 if (BITISSET (V, i))
572909b5
RS
256 nuseful_nonterminals++;
257 nuseless_nonterminals = nvars - nuseful_nonterminals;
258
259 /* A token that was used in %prec should not be warned about. */
260 for (i = 1; i < nrules; i++)
261 if (rprecsym[i] != 0)
015acc48 262 SETBIT (V1, rprecsym[i]);
572909b5 263}
015acc48 264
a083fbbf 265static void
d2729d44 266reduce_grammar_tables (void)
572909b5
RS
267{
268/* This is turned off because we would need to change the numbers
269 in the case statements in the actions file. */
270#if 0
271 /* remove useless productions */
272 if (nuseless_productions > 0)
273 {
274 short np, pn, ni, pi;
275
276 np = 0;
277 ni = 0;
278 for (pn = 1; pn <= nrules; pn++)
279 {
015acc48 280 if (BITISSET (P, pn))
572909b5
RS
281 {
282 np++;
283 if (pn != np)
284 {
285 rlhs[np] = rlhs[pn];
286 rline[np] = rline[pn];
287 rprec[np] = rprec[pn];
288 rassoc[np] = rassoc[pn];
289 rrhs[np] = rrhs[pn];
290 if (rrhs[np] != ni)
291 {
292 pi = rrhs[np];
293 rrhs[np] = ni;
294 while (ritem[pi] >= 0)
295 ritem[ni++] = ritem[pi++];
296 ritem[ni++] = -np;
297 }
015acc48
AD
298 }
299 else
300 {
572909b5
RS
301 while (ritem[ni++] >= 0);
302 }
303 }
304 }
305 ritem[ni] = 0;
306 nrules -= nuseless_productions;
307 nitems = ni;
308
015acc48
AD
309 /* Is it worth it to reduce the amount of memory for the
310 grammar? Probably not. */
572909b5
RS
311
312 }
313#endif /* 0 */
314 /* Disable useless productions,
315 since they may contain useless nonterms
316 that would get mapped below to -1 and confuse everyone. */
317 if (nuseless_productions > 0)
318 {
319 int pn;
320
321 for (pn = 1; pn <= nrules; pn++)
322 {
015acc48 323 if (!BITISSET (P, pn))
572909b5
RS
324 {
325 rlhs[pn] = -1;
326 }
327 }
328 }
329
330 /* remove useless symbols */
331 if (nuseless_nonterminals > 0)
332 {
333
015acc48 334 int i, n;
572909b5
RS
335/* short j; JF unused */
336 short *nontermmap;
015acc48 337 rule r;
572909b5 338
015acc48
AD
339 /* Create a map of nonterminal number to new nonterminal
340 number. -1 in the map means it was useless and is being
341 eliminated. */
572909b5 342
015acc48 343 nontermmap = NEW2 (nvars, short) - ntokens;
572909b5
RS
344 for (i = ntokens; i < nsyms; i++)
345 nontermmap[i] = -1;
346
347 n = ntokens;
348 for (i = ntokens; i < nsyms; i++)
015acc48 349 if (BITISSET (V, i))
572909b5
RS
350 nontermmap[i] = n++;
351
352 /* Shuffle elements of tables indexed by symbol number. */
353
354 for (i = ntokens; i < nsyms; i++)
355 {
356 n = nontermmap[i];
357 if (n >= 0)
358 {
359 sassoc[n] = sassoc[i];
360 sprec[n] = sprec[i];
361 tags[n] = tags[i];
015acc48
AD
362 }
363 else
364 {
365 free (tags[i]);
572909b5
RS
366 }
367 }
368
369 /* Replace all symbol numbers in valid data structures. */
370
371 for (i = 1; i <= nrules; i++)
372 {
373 /* Ignore the rules disabled above. */
374 if (rlhs[i] >= 0)
375 rlhs[i] = nontermmap[rlhs[i]];
376 if (ISVAR (rprecsym[i]))
377 /* Can this happen? */
378 rprecsym[i] = nontermmap[rprecsym[i]];
379 }
380
381 for (r = ritem; *r; r++)
015acc48 382 if (ISVAR (*r))
572909b5
RS
383 *r = nontermmap[*r];
384
385 start_symbol = nontermmap[start_symbol];
386
387 nsyms -= nuseless_nonterminals;
388 nvars -= nuseless_nonterminals;
389
015acc48 390 free (&nontermmap[ntokens]);
572909b5
RS
391 }
392}
015acc48 393
a083fbbf 394static void
d2729d44 395print_results (void)
572909b5 396{
015acc48 397 int i;
572909b5 398/* short j; JF unused */
015acc48
AD
399 rule r;
400 bool b;
572909b5
RS
401
402 if (nuseless_nonterminals > 0)
403 {
015acc48 404 fprintf (foutput, _("Useless nonterminals:\n\n"));
572909b5 405 for (i = ntokens; i < nsyms; i++)
015acc48
AD
406 if (!BITISSET (V, i))
407 fprintf (foutput, " %s\n", tags[i]);
572909b5
RS
408 }
409 b = FALSE;
410 for (i = 0; i < ntokens; i++)
411 {
015acc48 412 if (!BITISSET (V, i) && !BITISSET (V1, i))
572909b5
RS
413 {
414 if (!b)
415 {
015acc48 416 fprintf (foutput, _("\n\nTerminals which are not used:\n\n"));
572909b5
RS
417 b = TRUE;
418 }
015acc48 419 fprintf (foutput, " %s\n", tags[i]);
572909b5
RS
420 }
421 }
422
423 if (nuseless_productions > 0)
424 {
015acc48 425 fprintf (foutput, _("\n\nUseless rules:\n\n"));
572909b5
RS
426 for (i = 1; i <= nrules; i++)
427 {
015acc48 428 if (!BITISSET (P, i))
572909b5 429 {
015acc48
AD
430 fprintf (foutput, "#%-4d ", i);
431 fprintf (foutput, "%s :\t", tags[rlhs[i]]);
572909b5
RS
432 for (r = &ritem[rrhs[i]]; *r >= 0; r++)
433 {
015acc48 434 fprintf (foutput, " %s", tags[*r]);
572909b5 435 }
015acc48 436 fprintf (foutput, ";\n");
572909b5
RS
437 }
438 }
439 }
440 if (nuseless_nonterminals > 0 || nuseless_productions > 0 || b)
015acc48 441 fprintf (foutput, "\n\n");
572909b5
RS
442}
443\f
015acc48 444#if 0 /* XXX currently unused. */
4a120d45 445static void
d2729d44 446dump_grammar (void)
572909b5
RS
447{
448 int i;
449 rule r;
450
015acc48
AD
451 fprintf (foutput,
452 "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n",
453 ntokens, nvars, nsyms, nrules, nitems);
454 fprintf (foutput, _("Variables\n---------\n\n"));
455 fprintf (foutput, _("Value Sprec Sassoc Tag\n"));
572909b5 456 for (i = ntokens; i < nsyms; i++)
015acc48
AD
457 fprintf (foutput, "%5d %5d %5d %s\n", i, sprec[i], sassoc[i], tags[i]);
458 fprintf (foutput, "\n\n");
459 fprintf (foutput, _("Rules\n-----\n\n"));
572909b5
RS
460 for (i = 1; i <= nrules; i++)
461 {
015acc48
AD
462 fprintf (foutput, "%-5d(%5d%5d)%5d : (@%-5d)",
463 i, rprec[i], rassoc[i], rlhs[i], rrhs[i]);
572909b5 464 for (r = &ritem[rrhs[i]]; *r > 0; r++)
015acc48
AD
465 fprintf (foutput, "%5d", *r);
466 fprintf (foutput, " [%d]\n", -(*r));
572909b5 467 }
015acc48
AD
468 fprintf (foutput, "\n\n");
469 fprintf (foutput, _("Rules interpreted\n-----------------\n\n"));
572909b5
RS
470 for (i = 1; i <= nrules; i++)
471 {
015acc48 472 fprintf (foutput, "%-5d %s :", i, tags[rlhs[i]]);
572909b5 473 for (r = &ritem[rrhs[i]]; *r > 0; r++)
015acc48
AD
474 fprintf (foutput, " %s", tags[*r]);
475 fprintf (foutput, "\n");
572909b5 476 }
015acc48 477 fprintf (foutput, "\n\n");
572909b5 478}
015acc48 479
4a120d45 480#endif
572909b5
RS
481
482
a083fbbf 483static void
d2729d44 484print_notices (void)
572909b5 485{
572909b5 486 if (fixed_outfiles && nuseless_productions)
015acc48 487 fprintf (stderr, _("%d rules never reduced\n"), nuseless_productions);
572909b5 488
015acc48 489 fprintf (stderr, _("%s contains "), infile);
572909b5
RS
490
491 if (nuseless_nonterminals > 0)
492 {
015acc48
AD
493 fprintf (stderr, _("%d useless nonterminal%s"),
494 nuseless_nonterminals,
495 (nuseless_nonterminals == 1 ? "" : "s"));
572909b5
RS
496 }
497 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
015acc48 498 fprintf (stderr, _(" and "));
572909b5
RS
499
500 if (nuseless_productions > 0)
501 {
015acc48
AD
502 fprintf (stderr, _("%d useless rule%s"),
503 nuseless_productions, (nuseless_productions == 1 ? "" : "s"));
572909b5 504 }
015acc48
AD
505 fprintf (stderr, "\n");
506 fflush (stderr);
507}
508\f
509void
510reduce_grammar (void)
511{
512 bool reduced;
513
514 /* Allocate the global sets used to compute the reduced grammar */
515
516 N = NEW2 (WORDSIZE (nvars), unsigned);
517 P = NEW2 (WORDSIZE (nrules + 1), unsigned);
518 V = NEW2 (WORDSIZE (nsyms), unsigned);
519 V1 = NEW2 (WORDSIZE (nsyms), unsigned);
520
521 useless_nonterminals ();
522 inaccessable_symbols ();
523
524 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
525
526 if (verboseflag)
527 print_results ();
528
529 if (reduced == FALSE)
530 goto done_reducing;
531
532 print_notices ();
533
534 if (!BITISSET (N, start_symbol - ntokens))
535 fatal (_("Start symbol %s does not derive any sentence"),
536 tags[start_symbol]);
537
538 reduce_grammar_tables ();
539#if 0
540 if (verboseflag)
541 {
542 fprintf (foutput, "REDUCED GRAMMAR\n\n");
543 dump_grammar ();
544 }
545#endif
b2ca4022
AD
546
547 if (statisticsflag)
015acc48
AD
548 fprintf (stderr, _("reduced %s defines %d terminal%s, %d nonterminal%s\
549, and %d production%s.\n"),
550 infile,
551 ntokens,
552 (ntokens == 1 ? "" : "s"),
553 nvars,
554 (nvars == 1 ? "" : "s"),
555 nrules,
556 (nrules == 1 ? "" : "s"));
557
558done_reducing:
559 /* Free the global sets used to compute the reduced grammar */
560
561 FREE (N);
562 FREE (V);
563 FREE (P);
572909b5 564}