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572909b5 1/* Grammar reduction for Bison.
337c5bd1 2 Copyright 1988, 1989, 2000, 2001 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"
a0f6b076 32#include "complain.h"
015acc48 33#include "reduce.h"
b2ca4022
AD
34#include "reader.h"
35#include "getargs.h"
572909b5 36
572909b5 37typedef unsigned *BSet;
015acc48 38typedef short *rule;
572909b5 39
572909b5 40
015acc48
AD
41/* N is set of all nonterminals which are not useless. P is set of
42 all rules which have no useless nonterminals in their RHS. V is
43 the set of all accessible symbols. */
572909b5 44
015acc48 45static BSet N, P, V, V1;
572909b5 46
015acc48
AD
47static int nuseful_productions;
48static int nuseless_productions;
49static int nuseful_nonterminals;
50static int nuseless_nonterminals;
572909b5 51\f
4a120d45 52static bool
d2729d44 53bits_equal (BSet L, BSet R, int n)
572909b5
RS
54{
55 int i;
56
57 for (i = n - 1; i >= 0; i--)
58 if (L[i] != R[i])
59 return FALSE;
60 return TRUE;
61}
62
63
4a120d45 64static int
d2729d44 65nbits (unsigned i)
572909b5
RS
66{
67 int count = 0;
68
015acc48
AD
69 while (i != 0)
70 {
71 i ^= (i & ((unsigned) (-(int) i)));
72 ++count;
73 }
572909b5
RS
74 return count;
75}
76
77
4a120d45 78static int
d2729d44 79bits_size (BSet S, int n)
572909b5
RS
80{
81 int i, count = 0;
82
83 for (i = n - 1; i >= 0; i--)
015acc48 84 count += nbits (S[i]);
572909b5
RS
85 return count;
86}
87\f
015acc48
AD
88/*-------------------------------------------------------------------.
89| Another way to do this would be with a set for each production and |
90| then do subset tests against N0, but even for the C grammar the |
91| whole reducing process takes only 2 seconds on my 8Mhz AT. |
92`-------------------------------------------------------------------*/
572909b5 93
a083fbbf 94static bool
d2729d44 95useful_production (int i, BSet N0)
572909b5 96{
015acc48 97 rule r;
572909b5
RS
98 short n;
99
015acc48
AD
100 /* A production is useful if all of the nonterminals in its appear
101 in the set of useful nonterminals. */
572909b5 102
b2ed6e58 103 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
015acc48
AD
104 if (ISVAR (n = *r))
105 if (!BITISSET (N0, n - ntokens))
572909b5
RS
106 return FALSE;
107 return TRUE;
108}
109
110
015acc48
AD
111/*---------------------------------------------------------.
112| Remember that rules are 1-origin, symbols are 0-origin. |
113`---------------------------------------------------------*/
572909b5 114
a083fbbf 115static void
d2729d44 116useless_nonterminals (void)
572909b5
RS
117{
118 BSet Np, Ns;
342b8b6e 119 int i;
015acc48
AD
120
121 /* N is set as built. Np is set being built this iteration. P is
122 set of all productions which have a RHS all in N. */
123
d7913476 124 Np = XCALLOC (unsigned, WORDSIZE (nvars));
015acc48
AD
125
126 /* The set being computed is a set of nonterminals which can derive
127 the empty string or strings consisting of all terminals. At each
128 iteration a nonterminal is added to the set if there is a
129 production with that nonterminal as its LHS for which all the
130 nonterminals in its RHS are already in the set. Iterate until
131 the set being computed remains unchanged. Any nonterminals not
132 in the set at that point are useless in that they will never be
133 used in deriving a sentence of the language.
134
135 This iteration doesn't use any special traversal over the
136 productions. A set is kept of all productions for which all the
137 nonterminals in the RHS are in useful. Only productions not in
138 this set are scanned on each iteration. At the end, this set is
139 saved to be used when finding useful productions: only
140 productions in this set will appear in the final grammar. */
572909b5 141
572909b5
RS
142 while (1)
143 {
015acc48 144 for (i = WORDSIZE (nvars) - 1; i >= 0; i--)
572909b5
RS
145 Np[i] = N[i];
146 for (i = 1; i <= nrules; i++)
147 {
015acc48 148 if (!BITISSET (P, i))
572909b5 149 {
015acc48 150 if (useful_production (i, N))
572909b5 151 {
b2ed6e58 152 SETBIT (Np, rule_table[i].lhs - ntokens);
015acc48 153 SETBIT (P, i);
572909b5
RS
154 }
155 }
156 }
015acc48 157 if (bits_equal (N, Np, WORDSIZE (nvars)))
572909b5
RS
158 break;
159 Ns = Np;
160 Np = N;
161 N = Ns;
162 }
d7913476 163 XFREE (N);
572909b5
RS
164 N = Np;
165}
015acc48
AD
166
167
a083fbbf 168static void
d2729d44 169inaccessable_symbols (void)
572909b5 170{
015acc48 171 BSet Vp, Vs, Pp;
342b8b6e 172 int i;
572909b5 173 short t;
015acc48
AD
174 rule r;
175
176 /* Find out which productions are reachable and which symbols are
177 used. Starting with an empty set of productions and a set of
178 symbols which only has the start symbol in it, iterate over all
179 productions until the set of productions remains unchanged for an
180 iteration. For each production which has a LHS in the set of
181 reachable symbols, add the production to the set of reachable
182 productions, and add all of the nonterminals in the RHS of the
183 production to the set of reachable symbols.
184
185 Consider only the (partially) reduced grammar which has only
186 nonterminals in N and productions in P.
187
188 The result is the set P of productions in the reduced grammar,
189 and the set V of symbols in the reduced grammar.
190
191 Although this algorithm also computes the set of terminals which
192 are reachable, no terminal will be deleted from the grammar. Some
193 terminals might not be in the grammar but might be generated by
194 semantic routines, and so the user might want them available with
195 specified numbers. (Is this true?) However, the nonreachable
196 terminals are printed (if running in verbose mode) so that the
197 user can know. */
198
d7913476
AD
199 Vp = XCALLOC (unsigned, WORDSIZE (nsyms));
200 Pp = XCALLOC (unsigned, WORDSIZE (nrules + 1));
572909b5
RS
201
202 /* If the start symbol isn't useful, then nothing will be useful. */
015acc48 203 if (!BITISSET (N, start_symbol - ntokens))
572909b5
RS
204 goto end_iteration;
205
015acc48 206 SETBIT (V, start_symbol);
572909b5 207
572909b5
RS
208 while (1)
209 {
015acc48 210 for (i = WORDSIZE (nsyms) - 1; i >= 0; i--)
572909b5
RS
211 Vp[i] = V[i];
212 for (i = 1; i <= nrules; i++)
213 {
b2ed6e58 214 if (!BITISSET (Pp, i) && BITISSET (P, i) && BITISSET (V, rule_table[i].lhs))
572909b5 215 {
b2ed6e58 216 for (r = &ritem[rule_table[i].rhs]; *r >= 0; r++)
572909b5 217 {
015acc48 218 if (ISTOKEN (t = *r) || BITISSET (N, t - ntokens))
572909b5 219 {
015acc48 220 SETBIT (Vp, t);
572909b5
RS
221 }
222 }
015acc48 223 SETBIT (Pp, i);
572909b5
RS
224 }
225 }
015acc48 226 if (bits_equal (V, Vp, WORDSIZE (nsyms)))
572909b5
RS
227 {
228 break;
229 }
230 Vs = Vp;
231 Vp = V;
232 V = Vs;
233 }
015acc48 234end_iteration:
572909b5 235
d7913476 236 XFREE (V);
572909b5
RS
237 V = Vp;
238
239 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
015acc48
AD
240 SETBIT (V, 0); /* end-of-input token */
241 SETBIT (V, 1); /* error token */
242 SETBIT (V, 2); /* some undefined token */
572909b5 243
d7913476 244 XFREE (P);
572909b5
RS
245 P = Pp;
246
015acc48 247 nuseful_productions = bits_size (P, WORDSIZE (nrules + 1));
572909b5
RS
248 nuseless_productions = nrules - nuseful_productions;
249
250 nuseful_nonterminals = 0;
251 for (i = ntokens; i < nsyms; i++)
015acc48 252 if (BITISSET (V, i))
572909b5
RS
253 nuseful_nonterminals++;
254 nuseless_nonterminals = nvars - nuseful_nonterminals;
255
256 /* A token that was used in %prec should not be warned about. */
257 for (i = 1; i < nrules; i++)
652a871c
AD
258 if (rule_table[i].precsym != 0)
259 SETBIT (V1, rule_table[i].precsym);
572909b5 260}
015acc48 261
a083fbbf 262static void
d2729d44 263reduce_grammar_tables (void)
572909b5
RS
264{
265/* This is turned off because we would need to change the numbers
266 in the case statements in the actions file. */
267#if 0
268 /* remove useless productions */
269 if (nuseless_productions > 0)
270 {
271 short np, pn, ni, pi;
272
273 np = 0;
274 ni = 0;
275 for (pn = 1; pn <= nrules; pn++)
276 {
015acc48 277 if (BITISSET (P, pn))
572909b5
RS
278 {
279 np++;
280 if (pn != np)
281 {
b2ed6e58 282 rule_table[np].lhs = rule_table[pn].lhs;
572909b5 283 rline[np] = rline[pn];
652a871c
AD
284 rule_table[np].prec = rule_table[pn].prec;
285 rule_table[np].assoc = rule_table[pn].assoc;
b2ed6e58
AD
286 rule_table[np].rhs = rule_table[pn].rhs;
287 if (rule_table[np].rhs != ni)
572909b5 288 {
b2ed6e58
AD
289 pi = rule_table[np].rhs;
290 rule_table[np].rhs = ni;
572909b5
RS
291 while (ritem[pi] >= 0)
292 ritem[ni++] = ritem[pi++];
293 ritem[ni++] = -np;
294 }
015acc48
AD
295 }
296 else
297 {
572909b5
RS
298 while (ritem[ni++] >= 0);
299 }
300 }
301 }
302 ritem[ni] = 0;
303 nrules -= nuseless_productions;
304 nitems = ni;
305
015acc48
AD
306 /* Is it worth it to reduce the amount of memory for the
307 grammar? Probably not. */
572909b5
RS
308
309 }
310#endif /* 0 */
311 /* Disable useless productions,
312 since they may contain useless nonterms
313 that would get mapped below to -1 and confuse everyone. */
314 if (nuseless_productions > 0)
315 {
316 int pn;
317
318 for (pn = 1; pn <= nrules; pn++)
319 {
015acc48 320 if (!BITISSET (P, pn))
572909b5 321 {
b2ed6e58 322 rule_table[pn].lhs = -1;
572909b5
RS
323 }
324 }
325 }
326
327 /* remove useless symbols */
328 if (nuseless_nonterminals > 0)
329 {
330
015acc48 331 int i, n;
572909b5
RS
332/* short j; JF unused */
333 short *nontermmap;
015acc48 334 rule r;
572909b5 335
015acc48
AD
336 /* Create a map of nonterminal number to new nonterminal
337 number. -1 in the map means it was useless and is being
338 eliminated. */
572909b5 339
d7913476 340 nontermmap = XCALLOC (short, nvars) - ntokens;
572909b5
RS
341 for (i = ntokens; i < nsyms; i++)
342 nontermmap[i] = -1;
343
344 n = ntokens;
345 for (i = ntokens; i < nsyms; i++)
015acc48 346 if (BITISSET (V, i))
572909b5
RS
347 nontermmap[i] = n++;
348
349 /* Shuffle elements of tables indexed by symbol number. */
350
351 for (i = ntokens; i < nsyms; i++)
352 {
353 n = nontermmap[i];
354 if (n >= 0)
355 {
356 sassoc[n] = sassoc[i];
357 sprec[n] = sprec[i];
358 tags[n] = tags[i];
015acc48
AD
359 }
360 else
361 {
362 free (tags[i]);
572909b5
RS
363 }
364 }
365
366 /* Replace all symbol numbers in valid data structures. */
367
368 for (i = 1; i <= nrules; i++)
369 {
370 /* Ignore the rules disabled above. */
b2ed6e58
AD
371 if (rule_table[i].lhs >= 0)
372 rule_table[i].lhs = nontermmap[rule_table[i].lhs];
652a871c 373 if (ISVAR (rule_table[i].precsym))
572909b5 374 /* Can this happen? */
652a871c 375 rule_table[i].precsym = nontermmap[rule_table[i].precsym];
572909b5
RS
376 }
377
378 for (r = ritem; *r; r++)
015acc48 379 if (ISVAR (*r))
572909b5
RS
380 *r = nontermmap[*r];
381
382 start_symbol = nontermmap[start_symbol];
383
384 nsyms -= nuseless_nonterminals;
385 nvars -= nuseless_nonterminals;
386
015acc48 387 free (&nontermmap[ntokens]);
572909b5
RS
388 }
389}
015acc48 390
337c5bd1
AD
391
392/*-----------------------------------------------------------------.
393| Ouput the detailed results of the reductions. For FILE.output. |
394`-----------------------------------------------------------------*/
395
396void
397reduce_output (FILE *out)
572909b5 398{
015acc48 399 int i;
015acc48
AD
400 rule r;
401 bool b;
572909b5
RS
402
403 if (nuseless_nonterminals > 0)
404 {
337c5bd1
AD
405 fprintf (out, _("Useless nonterminals:"));
406 fprintf (out, "\n\n");
572909b5 407 for (i = ntokens; i < nsyms; i++)
015acc48 408 if (!BITISSET (V, i))
337c5bd1 409 fprintf (out, " %s\n", tags[i]);
572909b5
RS
410 }
411 b = FALSE;
412 for (i = 0; i < ntokens; i++)
413 {
015acc48 414 if (!BITISSET (V, i) && !BITISSET (V1, i))
572909b5
RS
415 {
416 if (!b)
417 {
337c5bd1
AD
418 fprintf (out, "\n\n");
419 fprintf (out, _("Terminals which are not used:"));
420 fprintf (out, "\n\n");
572909b5
RS
421 b = TRUE;
422 }
337c5bd1 423 fprintf (out, " %s\n", tags[i]);
572909b5
RS
424 }
425 }
426
427 if (nuseless_productions > 0)
428 {
337c5bd1
AD
429 fprintf (out, "\n\n");
430 fprintf (out, _("Useless rules:"));
431 fprintf (out, "\n\n");
572909b5
RS
432 for (i = 1; i <= nrules; i++)
433 {
015acc48 434 if (!BITISSET (P, i))
572909b5 435 {
337c5bd1 436 fprintf (out, "#%-4d ", i);
b2ed6e58
AD
437 fprintf (out, "%s :\t", tags[rule_table[i].lhs]);
438 for (r = &ritem[rule_table[i].rhs]; *r >= 0; r++)
337c5bd1
AD
439 fprintf (out, " %s", tags[*r]);
440 fprintf (out, ";\n");
572909b5
RS
441 }
442 }
443 }
444 if (nuseless_nonterminals > 0 || nuseless_productions > 0 || b)
337c5bd1 445 fprintf (out, "\n\n");
572909b5
RS
446}
447\f
015acc48 448#if 0 /* XXX currently unused. */
4a120d45 449static void
337c5bd1 450dump_grammar (FILE *out)
572909b5
RS
451{
452 int i;
453 rule r;
454
337c5bd1 455 fprintf (out,
ff4423cc
AD
456 "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n",
457 ntokens, nvars, nsyms, nrules, nitems);
337c5bd1
AD
458 fprintf (out, _("Variables\n---------\n\n"));
459 fprintf (out, _("Value Sprec Sassoc Tag\n"));
572909b5 460 for (i = ntokens; i < nsyms; i++)
337c5bd1
AD
461 fprintf (out, "%5d %5d %5d %s\n", i, sprec[i], sassoc[i], tags[i]);
462 fprintf (out, "\n\n");
463 fprintf (out, _("Rules\n-----\n\n"));
572909b5
RS
464 for (i = 1; i <= nrules; i++)
465 {
337c5bd1 466 fprintf (out, "%-5d(%5d%5d)%5d : (@%-5d)",
652a871c
AD
467 i,
468 rule_table[i].prec,
469 rule_table[i].assoc,
470 rule_table[i].lhs,
471 rule_table[i].rhs);
b2ed6e58 472 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
337c5bd1
AD
473 fprintf (out, "%5d", *r);
474 fprintf (out, " [%d]\n", -(*r));
572909b5 475 }
337c5bd1
AD
476 fprintf (out, "\n\n");
477 fprintf (out, _("Rules interpreted\n-----------------\n\n"));
572909b5
RS
478 for (i = 1; i <= nrules; i++)
479 {
b2ed6e58
AD
480 fprintf (out, "%-5d %s :", i, tags[rule_table[i].lhs]);
481 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
337c5bd1
AD
482 fprintf (out, " %s", tags[*r]);
483 fputc ('\n', out);
572909b5 484 }
337c5bd1 485 fprintf (out, "\n\n");
572909b5 486}
4a120d45 487#endif
572909b5
RS
488
489
337c5bd1
AD
490
491/*-------------------------------.
492| Report the results to STDERR. |
493`-------------------------------*/
494
a083fbbf 495static void
337c5bd1 496reduce_print (void)
572909b5 497{
89cab50d 498 if (yacc_flag && nuseless_productions)
015acc48 499 fprintf (stderr, _("%d rules never reduced\n"), nuseless_productions);
572909b5 500
015acc48 501 fprintf (stderr, _("%s contains "), infile);
572909b5
RS
502
503 if (nuseless_nonterminals > 0)
504 {
015acc48
AD
505 fprintf (stderr, _("%d useless nonterminal%s"),
506 nuseless_nonterminals,
507 (nuseless_nonterminals == 1 ? "" : "s"));
572909b5
RS
508 }
509 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
015acc48 510 fprintf (stderr, _(" and "));
572909b5
RS
511
512 if (nuseless_productions > 0)
513 {
015acc48
AD
514 fprintf (stderr, _("%d useless rule%s"),
515 nuseless_productions, (nuseless_productions == 1 ? "" : "s"));
572909b5 516 }
015acc48
AD
517 fprintf (stderr, "\n");
518 fflush (stderr);
519}
520\f
521void
522reduce_grammar (void)
523{
524 bool reduced;
525
526 /* Allocate the global sets used to compute the reduced grammar */
527
d7913476
AD
528 N = XCALLOC (unsigned, WORDSIZE (nvars));
529 P = XCALLOC (unsigned, WORDSIZE (nrules + 1));
530 V = XCALLOC (unsigned, WORDSIZE (nsyms));
531 V1 = XCALLOC (unsigned, WORDSIZE (nsyms));
015acc48
AD
532
533 useless_nonterminals ();
534 inaccessable_symbols ();
535
536 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
537
337c5bd1
AD
538 if (!reduced)
539 return;
015acc48 540
337c5bd1 541 reduce_print ();
015acc48
AD
542
543 if (!BITISSET (N, start_symbol - ntokens))
544 fatal (_("Start symbol %s does not derive any sentence"),
545 tags[start_symbol]);
546
547 reduce_grammar_tables ();
548#if 0
89cab50d 549 if (verbose_flag)
015acc48 550 {
337c5bd1 551 fprintf (out, "REDUCED GRAMMAR\n\n");
015acc48
AD
552 dump_grammar ();
553 }
554#endif
b2ca4022 555
89cab50d 556 if (statistics_flag)
015acc48
AD
557 fprintf (stderr, _("reduced %s defines %d terminal%s, %d nonterminal%s\
558, and %d production%s.\n"),
559 infile,
560 ntokens,
561 (ntokens == 1 ? "" : "s"),
562 nvars,
563 (nvars == 1 ? "" : "s"),
564 nrules,
565 (nrules == 1 ? "" : "s"));
337c5bd1 566}
015acc48 567
015acc48 568
337c5bd1
AD
569/*-----------------------------------------------------------.
570| Free the global sets used to compute the reduced grammar. |
571`-----------------------------------------------------------*/
572
573void
574reduce_free (void)
575{
d7913476
AD
576 XFREE (N);
577 XFREE (V);
337c5bd1 578 XFREE (V1);
d7913476 579 XFREE (P);
572909b5 580}