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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 /* 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. */
44
45 static BSet N, P, V, V1;
46
47 static int nuseful_productions;
48 static int nuseless_productions;
49 static int nuseful_nonterminals;
50 static int nuseless_nonterminals;
51 \f
52 static bool
53 bits_equal (BSet L, BSet R, int n)
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
64 static int
65 nbits (unsigned i)
66 {
67 int count = 0;
68
69 while (i != 0)
70 {
71 i ^= (i & ((unsigned) (-(int) i)));
72 ++count;
73 }
74 return count;
75 }
76
77
78 static int
79 bits_size (BSet S, int n)
80 {
81 int i, count = 0;
82
83 for (i = n - 1; i >= 0; i--)
84 count += nbits (S[i]);
85 return count;
86 }
87 \f
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 `-------------------------------------------------------------------*/
93
94 static bool
95 useful_production (int i, BSet N0)
96 {
97 rule r;
98 short n;
99
100 /* A production is useful if all of the nonterminals in its appear
101 in the set of useful nonterminals. */
102
103 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
104 if (ISVAR (n = *r))
105 if (!BITISSET (N0, n - ntokens))
106 return FALSE;
107 return TRUE;
108 }
109
110
111 /*---------------------------------------------------------.
112 | Remember that rules are 1-origin, symbols are 0-origin. |
113 `---------------------------------------------------------*/
114
115 static void
116 useless_nonterminals (void)
117 {
118 BSet Np, Ns;
119 int i;
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
124 Np = XCALLOC (unsigned, WORDSIZE (nvars));
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. */
141
142 while (1)
143 {
144 for (i = WORDSIZE (nvars) - 1; i >= 0; i--)
145 Np[i] = N[i];
146 for (i = 1; i <= nrules; i++)
147 {
148 if (!BITISSET (P, i))
149 {
150 if (useful_production (i, N))
151 {
152 SETBIT (Np, rule_table[i].lhs - ntokens);
153 SETBIT (P, i);
154 }
155 }
156 }
157 if (bits_equal (N, Np, WORDSIZE (nvars)))
158 break;
159 Ns = Np;
160 Np = N;
161 N = Ns;
162 }
163 XFREE (N);
164 N = Np;
165 }
166
167
168 static void
169 inaccessable_symbols (void)
170 {
171 BSet Vp, Vs, Pp;
172 int i;
173 short t;
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
199 Vp = XCALLOC (unsigned, WORDSIZE (nsyms));
200 Pp = XCALLOC (unsigned, WORDSIZE (nrules + 1));
201
202 /* If the start symbol isn't useful, then nothing will be useful. */
203 if (BITISSET (N, start_symbol - ntokens))
204 {
205 SETBIT (V, start_symbol);
206
207 while (1)
208 {
209 for (i = WORDSIZE (nsyms) - 1; i >= 0; i--)
210 Vp[i] = V[i];
211 for (i = 1; i <= nrules; i++)
212 {
213 if (!BITISSET (Pp, i)
214 && BITISSET (P, i)
215 && BITISSET (V, rule_table[i].lhs))
216 {
217 for (r = &ritem[rule_table[i].rhs]; *r >= 0; r++)
218 if (ISTOKEN (t = *r) || BITISSET (N, t - ntokens))
219 SETBIT (Vp, t);
220 SETBIT (Pp, i);
221 }
222 }
223 if (bits_equal (V, Vp, WORDSIZE (nsyms)))
224 break;
225 Vs = Vp;
226 Vp = V;
227 V = Vs;
228 }
229 }
230
231 XFREE (V);
232 V = Vp;
233
234 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
235 SETBIT (V, 0); /* end-of-input token */
236 SETBIT (V, 1); /* error token */
237 SETBIT (V, 2); /* some undefined token */
238
239 XFREE (P);
240 P = Pp;
241
242 nuseful_productions = bits_size (P, WORDSIZE (nrules + 1));
243 nuseless_productions = nrules - nuseful_productions;
244
245 nuseful_nonterminals = 0;
246 for (i = ntokens; i < nsyms; i++)
247 if (BITISSET (V, i))
248 nuseful_nonterminals++;
249 nuseless_nonterminals = nvars - nuseful_nonterminals;
250
251 /* A token that was used in %prec should not be warned about. */
252 for (i = 1; i < nrules; i++)
253 if (rule_table[i].precsym != 0)
254 SETBIT (V1, rule_table[i].precsym);
255 }
256
257 static void
258 reduce_grammar_tables (void)
259 {
260 /* This is turned off because we would need to change the numbers
261 in the case statements in the actions file. */
262 #if 0
263 /* remove useless productions */
264 if (nuseless_productions > 0)
265 {
266 short np, pn, ni, pi;
267
268 np = 0;
269 ni = 0;
270 for (pn = 1; pn <= nrules; pn++)
271 {
272 if (BITISSET (P, pn))
273 {
274 np++;
275 if (pn != np)
276 {
277 rule_table[np].lhs = rule_table[pn].lhs;
278 rline[np] = rline[pn];
279 rule_table[np].prec = rule_table[pn].prec;
280 rule_table[np].assoc = rule_table[pn].assoc;
281 rule_table[np].rhs = rule_table[pn].rhs;
282 if (rule_table[np].rhs != ni)
283 {
284 pi = rule_table[np].rhs;
285 rule_table[np].rhs = ni;
286 while (ritem[pi] >= 0)
287 ritem[ni++] = ritem[pi++];
288 ritem[ni++] = -np;
289 }
290 }
291 else
292 {
293 while (ritem[ni++] >= 0);
294 }
295 }
296 }
297 ritem[ni] = 0;
298 nrules -= nuseless_productions;
299 nitems = ni;
300
301 /* Is it worth it to reduce the amount of memory for the
302 grammar? Probably not. */
303
304 }
305 #endif /* 0 */
306 /* Disable useless productions,
307 since they may contain useless nonterms
308 that would get mapped below to -1 and confuse everyone. */
309 if (nuseless_productions > 0)
310 {
311 int pn;
312
313 for (pn = 1; pn <= nrules; pn++)
314 {
315 if (!BITISSET (P, pn))
316 {
317 rule_table[pn].lhs = -1;
318 }
319 }
320 }
321
322 /* remove useless symbols */
323 if (nuseless_nonterminals > 0)
324 {
325
326 int i, n;
327 /* short j; JF unused */
328 short *nontermmap;
329 rule r;
330
331 /* Create a map of nonterminal number to new nonterminal
332 number. -1 in the map means it was useless and is being
333 eliminated. */
334
335 nontermmap = XCALLOC (short, nvars) - ntokens;
336 for (i = ntokens; i < nsyms; i++)
337 nontermmap[i] = -1;
338
339 n = ntokens;
340 for (i = ntokens; i < nsyms; i++)
341 if (BITISSET (V, i))
342 nontermmap[i] = n++;
343
344 /* Shuffle elements of tables indexed by symbol number. */
345
346 for (i = ntokens; i < nsyms; i++)
347 {
348 n = nontermmap[i];
349 if (n >= 0)
350 {
351 sassoc[n] = sassoc[i];
352 sprec[n] = sprec[i];
353 tags[n] = tags[i];
354 }
355 }
356
357 /* Replace all symbol numbers in valid data structures. */
358
359 for (i = 1; i <= nrules; i++)
360 {
361 /* Ignore the rules disabled above. */
362 if (rule_table[i].lhs >= 0)
363 rule_table[i].lhs = nontermmap[rule_table[i].lhs];
364 if (ISVAR (rule_table[i].precsym))
365 /* Can this happen? */
366 rule_table[i].precsym = nontermmap[rule_table[i].precsym];
367 }
368
369 for (r = ritem; *r; r++)
370 if (ISVAR (*r))
371 *r = nontermmap[*r];
372
373 start_symbol = nontermmap[start_symbol];
374
375 nsyms -= nuseless_nonterminals;
376 nvars -= nuseless_nonterminals;
377
378 free (&nontermmap[ntokens]);
379 }
380 }
381
382
383 /*-----------------------------------------------------------------.
384 | Ouput the detailed results of the reductions. For FILE.output. |
385 `-----------------------------------------------------------------*/
386
387 void
388 reduce_output (FILE *out)
389 {
390 int i;
391 rule r;
392 bool b;
393
394 if (nuseless_nonterminals > 0)
395 {
396 fprintf (out, _("Useless nonterminals:"));
397 fprintf (out, "\n\n");
398 for (i = ntokens; i < nsyms; i++)
399 if (!BITISSET (V, i))
400 fprintf (out, " %s\n", tags[i]);
401 }
402 b = FALSE;
403 for (i = 0; i < ntokens; i++)
404 {
405 if (!BITISSET (V, i) && !BITISSET (V1, i))
406 {
407 if (!b)
408 {
409 fprintf (out, "\n\n");
410 fprintf (out, _("Terminals which are not used:"));
411 fprintf (out, "\n\n");
412 b = TRUE;
413 }
414 fprintf (out, " %s\n", tags[i]);
415 }
416 }
417
418 if (nuseless_productions > 0)
419 {
420 fprintf (out, "\n\n");
421 fprintf (out, _("Useless rules:"));
422 fprintf (out, "\n\n");
423 for (i = 1; i <= nrules; i++)
424 if (!BITISSET (P, i))
425 {
426 fprintf (out, "#%-4d ", i);
427 fprintf (out, "%s :\t", tags[rule_table[i].lhs]);
428 for (r = &ritem[rule_table[i].rhs]; *r >= 0; r++)
429 fprintf (out, " %s", tags[*r]);
430 fprintf (out, ";\n");
431 }
432 }
433 if (nuseless_nonterminals > 0 || nuseless_productions > 0 || b)
434 fprintf (out, "\n\n");
435 }
436 \f
437 static void
438 dump_grammar (FILE *out)
439 {
440 int i;
441 rule r;
442
443 fprintf (out, "REDUCED GRAMMAR\n\n");
444 fprintf (out,
445 "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n",
446 ntokens, nvars, nsyms, nrules, nitems);
447 fprintf (out, "Variables\n---------\n\n");
448 fprintf (out, "Value Sprec Sassoc Tag\n");
449 for (i = ntokens; i < nsyms; i++)
450 fprintf (out, "%5d %5d %5d %s\n", i, sprec[i], sassoc[i], tags[i]);
451 fprintf (out, "\n\n");
452 fprintf (out, "Rules\n-----\n\n");
453 fprintf (out, "Num (Prec, Assoc) Lhs : (@Rhs) Ritems [Num?]\n");
454 for (i = 1; i <= nrules; i++)
455 {
456 fprintf (out, "%-5d(%5d%5d)%5d : (@%-5d)",
457 i,
458 rule_table[i].prec,
459 rule_table[i].assoc,
460 rule_table[i].lhs,
461 rule_table[i].rhs);
462 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
463 fprintf (out, "%5d", *r);
464 fprintf (out, " [%d]\n", -(*r));
465 }
466 fprintf (out, "\n\n");
467 fprintf (out, "Rules interpreted\n-----------------\n\n");
468 for (i = 1; i <= nrules; i++)
469 {
470 fprintf (out, "%-5d %s :", i, tags[rule_table[i].lhs]);
471 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
472 fprintf (out, " %s", tags[*r]);
473 fputc ('\n', out);
474 }
475 fprintf (out, "\n\n");
476 }
477
478
479
480 /*-------------------------------.
481 | Report the results to STDERR. |
482 `-------------------------------*/
483
484 static void
485 reduce_print (void)
486 {
487 if (yacc_flag && nuseless_productions)
488 fprintf (stderr, ngettext ("%d rule never reduced\n",
489 "%d rules never reduced\n",
490 nuseless_productions),
491 nuseless_productions);
492
493 fprintf (stderr, _("%s contains "), infile);
494
495 if (nuseless_nonterminals > 0)
496 fprintf (stderr, ngettext ("%d useless nonterminal",
497 "%d useless nonterminals",
498 nuseless_nonterminals),
499 nuseless_nonterminals);
500
501 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
502 fprintf (stderr, _(" and "));
503
504 if (nuseless_productions > 0)
505 fprintf (stderr, ngettext ("%d useless rule",
506 "%d useless rules",
507 nuseless_productions),
508 nuseless_productions);
509 fprintf (stderr, "\n");
510 fflush (stderr);
511 }
512 \f
513 void
514 reduce_grammar (void)
515 {
516 bool reduced;
517
518 /* Allocate the global sets used to compute the reduced grammar */
519
520 N = XCALLOC (unsigned, WORDSIZE (nvars));
521 P = XCALLOC (unsigned, WORDSIZE (nrules + 1));
522 V = XCALLOC (unsigned, WORDSIZE (nsyms));
523 V1 = XCALLOC (unsigned, WORDSIZE (nsyms));
524
525 useless_nonterminals ();
526 inaccessable_symbols ();
527
528 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
529
530 if (!reduced)
531 return;
532
533 reduce_print ();
534
535 if (!BITISSET (N, start_symbol - ntokens))
536 fatal (_("Start symbol %s does not derive any sentence"),
537 tags[start_symbol]);
538
539 reduce_grammar_tables ();
540
541 if (trace_flag)
542 {
543 dump_grammar (stderr);
544
545 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
546 , and %d productions.\n",
547 infile, ntokens, nvars, nrules);
548 }
549 }
550
551
552 /*-----------------------------------------------------------.
553 | Free the global sets used to compute the reduced grammar. |
554 `-----------------------------------------------------------*/
555
556 void
557 reduce_free (void)
558 {
559 XFREE (N);
560 XFREE (V);
561 XFREE (V1);
562 XFREE (P);
563 }