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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 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 if (nuseless_productions > 0)
315 {
316 int pn;
317 for (pn = 1; pn <= nrules; pn++)
318 rule_table[pn].useful = BITISSET (P, pn);
319 }
320 }
321
322
323 /*------------------------------.
324 | Remove useless nonterminals. |
325 `------------------------------*/
326
327 static void
328 nonterminals_reduce (void)
329 {
330 int i, n;
331 rule r;
332
333 /* Map the nonterminals to their new index: useful first, useless
334 afterwards. Kept for later report. */
335
336 short *nontermmap = XCALLOC (short, nvars) - ntokens;
337 n = ntokens;
338 for (i = ntokens; i < nsyms; i++)
339 if (BITISSET (V, i))
340 nontermmap[i] = n++;
341 for (i = ntokens; i < nsyms; i++)
342 if (!BITISSET (V, i))
343 nontermmap[i] = n++;
344
345
346 /* Shuffle elements of tables indexed by symbol number. */
347 {
348 short *sassoc_sorted = XMALLOC (short, nvars) - ntokens;
349 short *sprec_sorted = XMALLOC (short, nvars) - ntokens;
350 char **tags_sorted = XMALLOC (char *, nvars) - ntokens;
351
352 for (i = ntokens; i < nsyms; i++)
353 {
354 n = nontermmap[i];
355 sassoc_sorted[n] = sassoc[i];
356 sprec_sorted[n] = sprec[i];
357 tags_sorted[n] = tags[i];
358 }
359 for (i = ntokens; i < nsyms; i++)
360 {
361 sassoc[i] = sassoc_sorted[i];
362 sprec[i] = sprec_sorted[i];
363 tags[i] = tags_sorted[i];
364 }
365 free (sassoc_sorted + ntokens);
366 free (sprec_sorted + ntokens);
367 free (tags_sorted + ntokens);
368 }
369
370 /* Replace all symbol numbers in valid data structures. */
371
372 for (i = 1; i <= nrules; i++)
373 {
374 rule_table[i].lhs = nontermmap[rule_table[i].lhs];
375 if (ISVAR (rule_table[i].precsym))
376 /* Can this happen? */
377 rule_table[i].precsym = nontermmap[rule_table[i].precsym];
378 }
379
380 for (r = ritem; *r; r++)
381 if (ISVAR (*r))
382 *r = nontermmap[*r];
383
384 start_symbol = nontermmap[start_symbol];
385
386 nsyms -= nuseless_nonterminals;
387 nvars -= nuseless_nonterminals;
388
389 free (nontermmap + ntokens);
390 }
391
392
393 /*------------------------------------------------------------------.
394 | Output the detailed results of the reductions. For FILE.output. |
395 `------------------------------------------------------------------*/
396
397 void
398 reduce_output (FILE *out)
399 {
400 if (nuseless_nonterminals > 0)
401 {
402 int i;
403 fprintf (out, "%s\n\n", _("Useless nonterminals:"));
404 for (i = 0; i < nuseless_nonterminals; ++i)
405 fprintf (out, " %s\n", tags[nsyms + i]);
406 fputs ("\n\n", out);
407 }
408
409 {
410 bool b = FALSE;
411 int i;
412 for (i = 0; i < ntokens; i++)
413 if (!BITISSET (V, i) && !BITISSET (V1, i))
414 {
415 if (!b)
416 fprintf (out, "%s\n\n", _("Terminals which are not used:"));
417 b = TRUE;
418 fprintf (out, " %s\n", tags[i]);
419 }
420 if (b)
421 fputs ("\n\n", out);
422 }
423
424 if (nuseless_productions > 0)
425 {
426 int i;
427 fprintf (out, "%s\n\n", _("Useless rules:"));
428 for (i = 1; i <= nrules; i++)
429 if (!rule_table[i].useful)
430 {
431 rule r;
432 fprintf (out, "#%-4d ", i);
433 fprintf (out, "%s:", tags[rule_table[i].lhs]);
434 for (r = &ritem[rule_table[i].rhs]; *r >= 0; r++)
435 fprintf (out, " %s", tags[*r]);
436 fputs (";\n", out);
437 }
438 fputs ("\n\n", out);
439 }
440 }
441 \f
442 static void
443 dump_grammar (FILE *out)
444 {
445 int i;
446 rule r;
447
448 fprintf (out, "REDUCED GRAMMAR\n\n");
449 fprintf (out,
450 "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n",
451 ntokens, nvars, nsyms, nrules, nitems);
452 fprintf (out, "Variables\n---------\n\n");
453 fprintf (out, "Value Sprec Sassoc Tag\n");
454 for (i = ntokens; i < nsyms; i++)
455 fprintf (out, "%5d %5d %5d %s\n", i, sprec[i], sassoc[i], tags[i]);
456 fprintf (out, "\n\n");
457 fprintf (out, "Rules\n-----\n\n");
458 fprintf (out, "Num (Prec, Assoc, Useful, Ritem Range) Lhs -> Rhs (Ritem range) [Num]\n");
459 for (i = 1; i <= nrules; i++)
460 {
461 int rhs_count = 0;
462 /* Find the last RHS index in ritems. */
463 for (r = &ritem[rule_table[i].rhs]; *r > 0; ++r)
464 ++rhs_count;
465 fprintf (out, "%3d (%2d, %2d, %2d, %2d-%2d) %2d ->",
466 i,
467 rule_table[i].prec, rule_table[i].assoc, rule_table[i].useful,
468 rule_table[i].rhs, rule_table[i].rhs + rhs_count - 1,
469 rule_table[i].lhs);
470 /* Dumped the RHS. */
471 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
472 fprintf (out, "%3d", *r);
473 fprintf (out, " [%d]\n", -(*r));
474 }
475 fprintf (out, "\n\n");
476 fprintf (out, "Rules interpreted\n-----------------\n\n");
477 for (i = 1; i <= nrules; i++)
478 {
479 fprintf (out, "%-5d %s :", i, tags[rule_table[i].lhs]);
480 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
481 fprintf (out, " %s", tags[*r]);
482 fputc ('\n', out);
483 }
484 fprintf (out, "\n\n");
485 }
486
487
488
489 /*-------------------------------.
490 | Report the results to STDERR. |
491 `-------------------------------*/
492
493 static void
494 reduce_print (void)
495 {
496 if (yacc_flag && nuseless_productions)
497 fprintf (stderr, ngettext ("%d rule never reduced\n",
498 "%d rules never reduced\n",
499 nuseless_productions),
500 nuseless_productions);
501
502 fprintf (stderr, _("%s contains "), infile);
503
504 if (nuseless_nonterminals > 0)
505 fprintf (stderr, ngettext ("%d useless nonterminal",
506 "%d useless nonterminals",
507 nuseless_nonterminals),
508 nuseless_nonterminals);
509
510 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
511 fprintf (stderr, _(" and "));
512
513 if (nuseless_productions > 0)
514 fprintf (stderr, ngettext ("%d useless rule",
515 "%d useless rules",
516 nuseless_productions),
517 nuseless_productions);
518 fprintf (stderr, "\n");
519 fflush (stderr);
520 }
521 \f
522 void
523 reduce_grammar (void)
524 {
525 bool reduced;
526
527 /* Allocate the global sets used to compute the reduced grammar */
528
529 N = XCALLOC (unsigned, WORDSIZE (nvars));
530 P = XCALLOC (unsigned, WORDSIZE (nrules + 1));
531 V = XCALLOC (unsigned, WORDSIZE (nsyms));
532 V1 = XCALLOC (unsigned, WORDSIZE (nsyms));
533
534 useless_nonterminals ();
535 inaccessable_symbols ();
536
537 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
538
539 if (!reduced)
540 return;
541
542 reduce_print ();
543
544 if (!BITISSET (N, start_symbol - ntokens))
545 fatal (_("Start symbol %s does not derive any sentence"),
546 tags[start_symbol]);
547
548 reduce_grammar_tables ();
549 if (nuseless_nonterminals > 0)
550 nonterminals_reduce ();
551
552 if (trace_flag)
553 {
554 dump_grammar (stderr);
555
556 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
557 , and %d productions.\n",
558 infile, ntokens, nvars, nrules);
559 }
560 }
561
562
563 /*-----------------------------------------------------------.
564 | Free the global sets used to compute the reduced grammar. |
565 `-----------------------------------------------------------*/
566
567 void
568 reduce_free (void)
569 {
570 XFREE (N);
571 XFREE (V);
572 XFREE (V1);
573 XFREE (P);
574 }