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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 in
268 the case statements in the actions file.
269
270 We don't disable it via CPP so that it is still checked with the
271 rest of the code, to avoid its becoming completely obsolete.
272
273 FIXME: I think the comment above demonstrates this code must be
274 turned off for *semantic* parser, not in the general case. Try
275 to understand this better --akim. */
276
277 if (0)
278 /* remove useless productions */
279 if (nuseless_productions > 0)
280 {
281 short np, pn, ni, pi;
282
283 np = 0;
284 ni = 0;
285 for (pn = 1; pn <= nrules; pn++)
286 if (BITISSET (P, pn))
287 {
288 np++;
289 if (pn != np)
290 {
291 rule_table[np].lhs = rule_table[pn].lhs;
292 rule_table[np].line = rule_table[pn].line;
293 rule_table[np].prec = rule_table[pn].prec;
294 rule_table[np].assoc = rule_table[pn].assoc;
295 rule_table[np].rhs = rule_table[pn].rhs;
296 if (rule_table[np].rhs != ni)
297 {
298 pi = rule_table[np].rhs;
299 rule_table[np].rhs = ni;
300 while (ritem[pi] >= 0)
301 ritem[ni++] = ritem[pi++];
302 ritem[ni++] = -np;
303 }
304 }
305 else
306 {
307 while (ritem[ni++] >= 0);
308 }
309 }
310
311 ritem[ni] = 0;
312 nrules -= nuseless_productions;
313 nitems = ni;
314
315 /* Is it worth it to reduce the amount of memory for the
316 grammar? Probably not. */
317 }
318
319 /* Disable useless productions. */
320 if (nuseless_productions > 0)
321 {
322 int pn;
323 for (pn = 1; pn <= nrules; pn++)
324 rule_table[pn].useful = BITISSET (P, pn);
325 }
326 }
327
328
329 /*------------------------------.
330 | Remove useless nonterminals. |
331 `------------------------------*/
332
333 static void
334 nonterminals_reduce (void)
335 {
336 int i, n;
337 rule r;
338
339 /* Map the nonterminals to their new index: useful first, useless
340 afterwards. Kept for later report. */
341
342 short *nontermmap = XCALLOC (short, nvars) - ntokens;
343 n = ntokens;
344 for (i = ntokens; i < nsyms; i++)
345 if (BITISSET (V, i))
346 nontermmap[i] = n++;
347 for (i = ntokens; i < nsyms; i++)
348 if (!BITISSET (V, i))
349 nontermmap[i] = n++;
350
351
352 /* Shuffle elements of tables indexed by symbol number. */
353 {
354 short *sassoc_sorted = XMALLOC (short, nvars) - ntokens;
355 short *sprec_sorted = XMALLOC (short, nvars) - ntokens;
356 char **tags_sorted = XMALLOC (char *, nvars) - ntokens;
357
358 for (i = ntokens; i < nsyms; i++)
359 {
360 n = nontermmap[i];
361 sassoc_sorted[n] = sassoc[i];
362 sprec_sorted[n] = sprec[i];
363 tags_sorted[n] = tags[i];
364 }
365 for (i = ntokens; i < nsyms; i++)
366 {
367 sassoc[i] = sassoc_sorted[i];
368 sprec[i] = sprec_sorted[i];
369 tags[i] = tags_sorted[i];
370 }
371 free (sassoc_sorted + ntokens);
372 free (sprec_sorted + ntokens);
373 free (tags_sorted + ntokens);
374 }
375
376 /* Replace all symbol numbers in valid data structures. */
377
378 for (i = 1; i <= nrules; i++)
379 {
380 rule_table[i].lhs = nontermmap[rule_table[i].lhs];
381 if (ISVAR (rule_table[i].precsym))
382 /* Can this happen? */
383 rule_table[i].precsym = nontermmap[rule_table[i].precsym];
384 }
385
386 for (r = ritem; *r; r++)
387 if (ISVAR (*r))
388 *r = nontermmap[*r];
389
390 start_symbol = nontermmap[start_symbol];
391
392 nsyms -= nuseless_nonterminals;
393 nvars -= nuseless_nonterminals;
394
395 free (nontermmap + ntokens);
396 }
397
398
399 /*------------------------------------------------------------------.
400 | Output the detailed results of the reductions. For FILE.output. |
401 `------------------------------------------------------------------*/
402
403 void
404 reduce_output (FILE *out)
405 {
406 if (nuseless_nonterminals > 0)
407 {
408 int i;
409 fprintf (out, "%s\n\n", _("Useless nonterminals:"));
410 for (i = 0; i < nuseless_nonterminals; ++i)
411 fprintf (out, " %s\n", tags[nsyms + i]);
412 fputs ("\n\n", out);
413 }
414
415 {
416 bool b = FALSE;
417 int i;
418 for (i = 0; i < ntokens; i++)
419 if (!BITISSET (V, i) && !BITISSET (V1, i))
420 {
421 if (!b)
422 fprintf (out, "%s\n\n", _("Terminals which are not used:"));
423 b = TRUE;
424 fprintf (out, " %s\n", tags[i]);
425 }
426 if (b)
427 fputs ("\n\n", out);
428 }
429
430 if (nuseless_productions > 0)
431 {
432 int i;
433 fprintf (out, "%s\n\n", _("Useless rules:"));
434 for (i = 1; i <= nrules; i++)
435 if (!rule_table[i].useful)
436 {
437 rule r;
438 fprintf (out, "#%-4d ", i - 1);
439 fprintf (out, "%s:", tags[rule_table[i].lhs]);
440 for (r = &ritem[rule_table[i].rhs]; *r >= 0; r++)
441 fprintf (out, " %s", tags[*r]);
442 fputs (";\n", out);
443 }
444 fputs ("\n\n", out);
445 }
446 }
447 \f
448 static void
449 dump_grammar (FILE *out)
450 {
451 int i;
452 rule r;
453
454 fprintf (out, "REDUCED GRAMMAR\n\n");
455 fprintf (out,
456 "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n",
457 ntokens, nvars, nsyms, nrules, nitems);
458 fprintf (out, "Variables\n---------\n\n");
459 fprintf (out, "Value Sprec Sassoc Tag\n");
460 for (i = ntokens; i < nsyms; i++)
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");
464 fprintf (out, "Num (Prec, Assoc, Useful, Ritem Range) Lhs -> Rhs (Ritem range) [Num]\n");
465 for (i = 1; i <= nrules; i++)
466 {
467 int rhs_count = 0;
468 /* Find the last RHS index in ritems. */
469 for (r = &ritem[rule_table[i].rhs]; *r > 0; ++r)
470 ++rhs_count;
471 fprintf (out, "%3d (%2d, %2d, %2d, %2d-%2d) %2d ->",
472 i,
473 rule_table[i].prec, rule_table[i].assoc, rule_table[i].useful,
474 rule_table[i].rhs, rule_table[i].rhs + rhs_count - 1,
475 rule_table[i].lhs);
476 /* Dumped the RHS. */
477 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
478 fprintf (out, "%3d", *r);
479 fprintf (out, " [%d]\n", -(*r));
480 }
481 fprintf (out, "\n\n");
482 fprintf (out, "Rules interpreted\n-----------------\n\n");
483 for (i = 1; i <= nrules; i++)
484 {
485 fprintf (out, "%-5d %s :", i, tags[rule_table[i].lhs]);
486 for (r = &ritem[rule_table[i].rhs]; *r > 0; r++)
487 fprintf (out, " %s", tags[*r]);
488 fputc ('\n', out);
489 }
490 fprintf (out, "\n\n");
491 }
492
493
494
495 /*-------------------------------.
496 | Report the results to STDERR. |
497 `-------------------------------*/
498
499 static void
500 reduce_print (void)
501 {
502 if (yacc_flag && nuseless_productions)
503 fprintf (stderr, ngettext ("%d rule never reduced\n",
504 "%d rules never reduced\n",
505 nuseless_productions),
506 nuseless_productions);
507
508 fprintf (stderr, _("%s contains "), infile);
509
510 if (nuseless_nonterminals > 0)
511 fprintf (stderr, ngettext ("%d useless nonterminal",
512 "%d useless nonterminals",
513 nuseless_nonterminals),
514 nuseless_nonterminals);
515
516 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
517 fprintf (stderr, _(" and "));
518
519 if (nuseless_productions > 0)
520 fprintf (stderr, ngettext ("%d useless rule",
521 "%d useless rules",
522 nuseless_productions),
523 nuseless_productions);
524 fprintf (stderr, "\n");
525 fflush (stderr);
526 }
527 \f
528 void
529 reduce_grammar (void)
530 {
531 bool reduced;
532
533 /* Allocate the global sets used to compute the reduced grammar */
534
535 N = XCALLOC (unsigned, WORDSIZE (nvars));
536 P = XCALLOC (unsigned, WORDSIZE (nrules + 1));
537 V = XCALLOC (unsigned, WORDSIZE (nsyms));
538 V1 = XCALLOC (unsigned, WORDSIZE (nsyms));
539
540 useless_nonterminals ();
541 inaccessable_symbols ();
542
543 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
544
545 if (!reduced)
546 return;
547
548 reduce_print ();
549
550 if (!BITISSET (N, start_symbol - ntokens))
551 fatal (_("Start symbol %s does not derive any sentence"),
552 tags[start_symbol]);
553
554 reduce_grammar_tables ();
555 if (nuseless_nonterminals > 0)
556 nonterminals_reduce ();
557
558 if (trace_flag)
559 {
560 dump_grammar (stderr);
561
562 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
563 , and %d productions.\n",
564 infile, ntokens, nvars, nrules);
565 }
566 }
567
568
569 /*-----------------------------------------------------------.
570 | Free the global sets used to compute the reduced grammar. |
571 `-----------------------------------------------------------*/
572
573 void
574 reduce_free (void)
575 {
576 XFREE (N);
577 XFREE (V);
578 XFREE (V1);
579 XFREE (P);
580 }