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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 "symtab.h"
32 #include "gram.h"
33 #include "complain.h"
34 #include "reduce.h"
35 #include "reader.h"
36 #include "getargs.h"
37 #include "bitset.h"
38
39 typedef short *rule;
40
41
42 /* Set of all nonterminals which are not useless. */
43 static bitset N;
44
45 /* Set of all rules which have no useless nonterminals in their RHS. */
46 static bitset P;
47
48 /* Set of all accessible symbols. */
49 static bitset V;
50
51 /* Set of symbols used to define rule precedence (so they are
52 `useless', but no warning should be issued). */
53 static bitset V1;
54
55 static int nuseful_productions;
56 static int nuseless_productions;
57 static int nuseful_nonterminals;
58 int nuseless_nonterminals;
59 \f
60 /*-------------------------------------------------------------------.
61 | Another way to do this would be with a set for each production and |
62 | then do subset tests against N0, but even for the C grammar the |
63 | whole reducing process takes only 2 seconds on my 8Mhz AT. |
64 `-------------------------------------------------------------------*/
65
66 static bool
67 useful_production (int i, bitset N0)
68 {
69 rule r;
70 short n;
71
72 /* A production is useful if all of the nonterminals in its appear
73 in the set of useful nonterminals. */
74
75 for (r = rules[i].rhs; *r >= 0; r++)
76 if (ISVAR (n = *r) && !bitset_test (N0, n - ntokens))
77 return FALSE;
78 return TRUE;
79 }
80
81
82 /*---------------------------------------------------------.
83 | Remember that rules are 1-origin, symbols are 0-origin. |
84 `---------------------------------------------------------*/
85
86 static void
87 useless_nonterminals (void)
88 {
89 bitset Np, Ns;
90 int i;
91
92 /* N is set as built. Np is set being built this iteration. P is
93 set of all productions which have a RHS all in N. */
94
95 Np = bitset_create (nvars, BITSET_FIXED);
96
97
98 /* The set being computed is a set of nonterminals which can derive
99 the empty string or strings consisting of all terminals. At each
100 iteration a nonterminal is added to the set if there is a
101 production with that nonterminal as its LHS for which all the
102 nonterminals in its RHS are already in the set. Iterate until
103 the set being computed remains unchanged. Any nonterminals not
104 in the set at that point are useless in that they will never be
105 used in deriving a sentence of the language.
106
107 This iteration doesn't use any special traversal over the
108 productions. A set is kept of all productions for which all the
109 nonterminals in the RHS are in useful. Only productions not in
110 this set are scanned on each iteration. At the end, this set is
111 saved to be used when finding useful productions: only
112 productions in this set will appear in the final grammar. */
113
114 while (1)
115 {
116 bitset_copy (Np, N);
117 for (i = 1; i < nrules + 1; i++)
118 if (!bitset_test (P, i)
119 && useful_production (i, N))
120 {
121 bitset_set (Np, rules[i].lhs->number - ntokens);
122 bitset_set (P, i);
123 }
124 if (bitset_equal_p (N, Np))
125 break;
126 Ns = Np;
127 Np = N;
128 N = Ns;
129 }
130 bitset_free (N);
131 N = Np;
132 }
133
134
135 static void
136 inaccessable_symbols (void)
137 {
138 bitset Vp, Vs, Pp;
139 int i;
140 short t;
141 rule r;
142
143 /* Find out which productions are reachable and which symbols are
144 used. Starting with an empty set of productions and a set of
145 symbols which only has the start symbol in it, iterate over all
146 productions until the set of productions remains unchanged for an
147 iteration. For each production which has a LHS in the set of
148 reachable symbols, add the production to the set of reachable
149 productions, and add all of the nonterminals in the RHS of the
150 production to the set of reachable symbols.
151
152 Consider only the (partially) reduced grammar which has only
153 nonterminals in N and productions in P.
154
155 The result is the set P of productions in the reduced grammar,
156 and the set V of symbols in the reduced grammar.
157
158 Although this algorithm also computes the set of terminals which
159 are reachable, no terminal will be deleted from the grammar. Some
160 terminals might not be in the grammar but might be generated by
161 semantic routines, and so the user might want them available with
162 specified numbers. (Is this true?) However, the nonreachable
163 terminals are printed (if running in verbose mode) so that the
164 user can know. */
165
166 Vp = bitset_create (nsyms, BITSET_FIXED);
167 Pp = bitset_create (nrules + 1, BITSET_FIXED);
168
169 /* If the start symbol isn't useful, then nothing will be useful. */
170 if (bitset_test (N, start_symbol - ntokens))
171 {
172 bitset_set (V, start_symbol);
173
174 while (1)
175 {
176 bitset_copy (Vp, V);
177 for (i = 1; i < nrules + 1; i++)
178 {
179 if (!bitset_test (Pp, i)
180 && bitset_test (P, i)
181 && bitset_test (V, rules[i].lhs->number))
182 {
183 for (r = rules[i].rhs; *r >= 0; r++)
184 if (ISTOKEN (t = *r) || bitset_test (N, t - ntokens))
185 bitset_set (Vp, t);
186 bitset_set (Pp, i);
187 }
188 }
189 if (bitset_equal_p (V, Vp))
190 break;
191 Vs = Vp;
192 Vp = V;
193 V = Vs;
194 }
195 }
196
197 bitset_free (V);
198 V = Vp;
199
200 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
201 bitset_set (V, 0); /* end-of-input token */
202 bitset_set (V, 1); /* error token */
203 bitset_set (V, 2); /* some undefined token */
204
205 bitset_free (P);
206 P = Pp;
207
208 nuseful_productions = bitset_count (P);
209 nuseless_productions = nrules - nuseful_productions;
210
211 nuseful_nonterminals = 0;
212 for (i = ntokens; i < nsyms; i++)
213 if (bitset_test (V, i))
214 nuseful_nonterminals++;
215 nuseless_nonterminals = nvars - nuseful_nonterminals;
216
217 /* A token that was used in %prec should not be warned about. */
218 for (i = 1; i < nrules + 1; i++)
219 if (rules[i].precsym != 0)
220 bitset_set (V1, rules[i].precsym);
221 }
222
223
224 /*-------------------------------------------------------------------.
225 | Put the useless productions at the end of RULES, and adjust NRULES |
226 | accordingly. |
227 `-------------------------------------------------------------------*/
228
229 static void
230 reduce_grammar_tables (void)
231 {
232 /* Flag useless productions. */
233 {
234 int pn;
235 for (pn = 1; pn < nrules + 1; pn++)
236 rules[pn].useful = bitset_test (P, pn);
237 }
238
239 /* Map the nonterminals to their new index: useful first, useless
240 afterwards. Kept for later report. */
241 {
242 int useful = 1;
243 int useless = nrules + 1 - nuseless_productions;
244 rule_t *rules_sorted = XMALLOC (rule_t, nrules + 1) - 1;
245 int i;
246 for (i = 1; i < nrules + 1; ++i)
247 rules_sorted[rules[i].useful ? useful++ : useless++] = rules[i];
248 free (rules + 1);
249 rules = rules_sorted;
250
251 /* Also reorder ritems. */
252 {
253 short *ritems_sorted = XCALLOC (short, nitems + 1);
254 short *ritemsp = ritems_sorted;
255 for (i = 1; i < nrules + 1; ++i)
256 {
257 short *rhsp = rules[i].rhs;
258 rules[i].rhs = ritemsp;
259 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
260 *ritemsp++ = *rhsp;
261 *ritemsp++ = -i;
262 }
263 *ritemsp++ = 0;
264 free (ritem);
265 ritem = ritems_sorted;
266 }
267 nrules -= nuseless_productions;
268 }
269
270 /* Adjust NRITEMS and NITEMS. */
271 {
272 int r;
273 int length;
274 for (r = nrules + 1; r < nrules + 1 + nuseless_productions; ++r)
275 {
276 length = rule_rhs_length (&rules[r]);
277 nritems -= length + 1;
278 nitems -= length + 1;
279 }
280 }
281 }
282
283
284 /*------------------------------.
285 | Remove useless nonterminals. |
286 `------------------------------*/
287
288 static void
289 nonterminals_reduce (void)
290 {
291 int i, n;
292
293 /* Map the nonterminals to their new index: useful first, useless
294 afterwards. Kept for later report. */
295
296 short *nontermmap = XCALLOC (short, nvars) - ntokens;
297 n = ntokens;
298 for (i = ntokens; i < nsyms; i++)
299 if (bitset_test (V, i))
300 nontermmap[i] = n++;
301 for (i = ntokens; i < nsyms; i++)
302 if (!bitset_test (V, i))
303 nontermmap[i] = n++;
304
305
306 /* Shuffle elements of tables indexed by symbol number. */
307 {
308 bucket **symbols_sorted = XMALLOC (bucket *, nvars) - ntokens;
309
310 for (i = ntokens; i < nsyms; i++)
311 symbols[i]->number = nontermmap[i];
312 for (i = ntokens; i < nsyms; i++)
313 symbols_sorted[nontermmap[i]] = symbols[i];
314 for (i = ntokens; i < nsyms; i++)
315 symbols[i] = symbols_sorted[i];
316 free (symbols_sorted + ntokens);
317 }
318
319 /* Replace all symbol numbers in valid data structures. */
320
321 for (i = 1; i < nrules + 1; i++)
322 {
323 if (ISVAR (rules[i].precsym))
324 /* Can this happen? */
325 rules[i].precsym = nontermmap[rules[i].precsym];
326 }
327
328 for (i = 0; i < nritems; ++i)
329 if (ISVAR (ritem[i]))
330 ritem[i] = nontermmap[ritem[i]];
331
332 start_symbol = nontermmap[start_symbol];
333
334 nsyms -= nuseless_nonterminals;
335 nvars -= nuseless_nonterminals;
336
337 free (nontermmap + ntokens);
338 }
339
340
341 /*------------------------------------------------------------------.
342 | Output the detailed results of the reductions. For FILE.output. |
343 `------------------------------------------------------------------*/
344
345 void
346 reduce_output (FILE *out)
347 {
348 if (nuseless_nonterminals > 0)
349 {
350 int i;
351 fprintf (out, "%s\n\n", _("Useless nonterminals:"));
352 for (i = 0; i < nuseless_nonterminals; ++i)
353 fprintf (out, " %s\n", symbols[nsyms + i]->tag);
354 fputs ("\n\n", out);
355 }
356
357 {
358 bool b = FALSE;
359 int i;
360 for (i = 0; i < ntokens; i++)
361 if (!bitset_test (V, i) && !bitset_test (V1, i))
362 {
363 if (!b)
364 fprintf (out, "%s\n\n", _("Terminals which are not used:"));
365 b = TRUE;
366 fprintf (out, " %s\n", symbols[i]->tag);
367 }
368 if (b)
369 fputs ("\n\n", out);
370 }
371
372 if (nuseless_productions > 0)
373 {
374 int i;
375 fprintf (out, "%s\n\n", _("Useless rules:"));
376 for (i = nrules + 1; i < nuseless_productions + nrules + 1; i++)
377 {
378 rule r;
379 fprintf (out, "#%-4d ", rules[i].number - 1);
380 fprintf (out, "%s:", rules[i].lhs->tag);
381 for (r = rules[i].rhs; *r >= 0; r++)
382 fprintf (out, " %s", symbols[*r]->tag);
383 fputs (";\n", out);
384 }
385 fputs ("\n\n", out);
386 }
387 }
388 \f
389 static void
390 dump_grammar (FILE *out)
391 {
392 int i;
393 rule r;
394
395 fprintf (out, "REDUCED GRAMMAR\n\n");
396 fprintf (out,
397 "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n",
398 ntokens, nvars, nsyms, nrules, nitems);
399 fprintf (out, "Variables\n---------\n\n");
400 fprintf (out, "Value Sprec Sassoc Tag\n");
401 for (i = ntokens; i < nsyms; i++)
402 fprintf (out, "%5d %5d %5d %s\n",
403 i,
404 symbols[i]->prec, symbols[i]->assoc, symbols[i]->tag);
405 fprintf (out, "\n\n");
406 fprintf (out, "Rules\n-----\n\n");
407 fprintf (out, "Num (Prec, Assoc, Useful, Ritem Range) Lhs -> Rhs (Ritem range) [Num]\n");
408 for (i = 1; i < nrules + nuseless_productions + 1; i++)
409 {
410 int rhs_count = 0;
411 /* Find the last RHS index in ritems. */
412 for (r = rules[i].rhs; *r >= 0; ++r)
413 ++rhs_count;
414 fprintf (out, "%3d (%2d, %2d, %2d, %2d-%2d) %2d ->",
415 i - 1,
416 rules[i].prec, rules[i].assoc, rules[i].useful,
417 rules[i].rhs - ritem, rules[i].rhs - ritem + rhs_count - 1,
418 rules[i].lhs->number);
419 /* Dumped the RHS. */
420 for (r = rules[i].rhs; *r >= 0; r++)
421 fprintf (out, "%3d", *r);
422 fprintf (out, " [%d]\n", -(*r) - 1);
423 }
424 fprintf (out, "\n\n");
425 fprintf (out, "Rules interpreted\n-----------------\n\n");
426 for (i = 1; i < nrules + nuseless_productions + 1; i++)
427 {
428 fprintf (out, "%-5d %s :", i, rules[i].lhs->tag);
429 for (r = rules[i].rhs; *r >= 0; r++)
430 fprintf (out, " %s", symbols[*r]->tag);
431 fputc ('\n', out);
432 }
433 fprintf (out, "\n\n");
434 }
435
436
437
438 /*-------------------------------.
439 | Report the results to STDERR. |
440 `-------------------------------*/
441
442 static void
443 reduce_print (void)
444 {
445 if (yacc_flag && nuseless_productions)
446 fprintf (stderr, ngettext ("%d rule never reduced\n",
447 "%d rules never reduced\n",
448 nuseless_productions),
449 nuseless_productions);
450
451 fprintf (stderr, _("%s contains "), infile);
452
453 if (nuseless_nonterminals > 0)
454 fprintf (stderr, ngettext ("%d useless nonterminal",
455 "%d useless nonterminals",
456 nuseless_nonterminals),
457 nuseless_nonterminals);
458
459 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
460 fprintf (stderr, _(" and "));
461
462 if (nuseless_productions > 0)
463 fprintf (stderr, ngettext ("%d useless rule",
464 "%d useless rules",
465 nuseless_productions),
466 nuseless_productions);
467 fprintf (stderr, "\n");
468 fflush (stderr);
469 }
470 \f
471 void
472 reduce_grammar (void)
473 {
474 bool reduced;
475
476 /* Allocate the global sets used to compute the reduced grammar */
477
478 N = bitset_create (nvars, BITSET_FIXED);
479 P = bitset_create (nrules + 1, BITSET_FIXED);
480 V = bitset_create (nsyms, BITSET_FIXED);
481 V1 = bitset_create (nsyms, BITSET_FIXED);
482
483 useless_nonterminals ();
484 inaccessable_symbols ();
485
486 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
487 if (!reduced)
488 return;
489
490 reduce_print ();
491
492 if (!bitset_test (N, start_symbol - ntokens))
493 fatal (_("Start symbol %s does not derive any sentence"),
494 symbols[start_symbol]->tag);
495
496 if (nuseless_productions > 0)
497 reduce_grammar_tables ();
498 if (nuseless_nonterminals > 0)
499 nonterminals_reduce ();
500
501 if (trace_flag)
502 {
503 dump_grammar (stderr);
504
505 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
506 , and %d productions.\n",
507 infile, ntokens, nvars, nrules);
508 }
509 }
510
511
512 /*-----------------------------------------------------------.
513 | Free the global sets used to compute the reduced grammar. |
514 `-----------------------------------------------------------*/
515
516 void
517 reduce_free (void)
518 {
519 bitset_free (N);
520 bitset_free (V);
521 bitset_free (V1);
522 bitset_free (P);
523 }