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