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1 /* Grammar reduction for Bison.
2 Copyright (C) 1988, 1989, 2000, 2001, 2002 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 "quotearg.h"
30 #include "getargs.h"
31 #include "files.h"
32 #include "symtab.h"
33 #include "gram.h"
34 #include "complain.h"
35 #include "reduce.h"
36 #include "reader.h"
37 #include "getargs.h"
38 #include "bitset.h"
39
40 /* Set of all nonterminals which are not useless. */
41 static bitset N;
42
43 /* Set of all rules which have no useless nonterminals in their RHS. */
44 static bitset P;
45
46 /* Set of all accessible symbols. */
47 static bitset V;
48
49 /* Set of symbols used to define rule precedence (so they are
50 `useless', but no warning should be issued). */
51 static bitset V1;
52
53 static rule_number_t nuseful_productions;
54 rule_number_t nuseless_productions;
55 static int nuseful_nonterminals;
56 symbol_number_t nuseless_nonterminals;
57 \f
58 /*-------------------------------------------------------------------.
59 | Another way to do this would be with a set for each production and |
60 | then do subset tests against N0, but even for the C grammar the |
61 | whole reducing process takes only 2 seconds on my 8Mhz AT. |
62 `-------------------------------------------------------------------*/
63
64 static bool
65 useful_production (rule_number_t r, bitset N0)
66 {
67 item_number_t *rhsp;
68
69 /* A production is useful if all of the nonterminals in its appear
70 in the set of useful nonterminals. */
71
72 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
73 if (ISVAR (*rhsp) && !bitset_test (N0, *rhsp - ntokens))
74 return FALSE;
75 return TRUE;
76 }
77
78
79 /*---------------------------------------------------------.
80 | Remember that rules are 1-origin, symbols are 0-origin. |
81 `---------------------------------------------------------*/
82
83 static void
84 useless_nonterminals (void)
85 {
86 bitset Np, Ns;
87 rule_number_t r;
88
89 /* N is set as built. Np is set being built this iteration. P is
90 set of all productions which have a RHS all in N. */
91
92 Np = bitset_create (nvars, BITSET_FIXED);
93
94
95 /* The set being computed is a set of nonterminals which can derive
96 the empty string or strings consisting of all terminals. At each
97 iteration a nonterminal is added to the set if there is a
98 production with that nonterminal as its LHS for which all the
99 nonterminals in its RHS are already in the set. Iterate until
100 the set being computed remains unchanged. Any nonterminals not
101 in the set at that point are useless in that they will never be
102 used in deriving a sentence of the language.
103
104 This iteration doesn't use any special traversal over the
105 productions. A set is kept of all productions for which all the
106 nonterminals in the RHS are in useful. Only productions not in
107 this set are scanned on each iteration. At the end, this set is
108 saved to be used when finding useful productions: only
109 productions in this set will appear in the final grammar. */
110
111 while (1)
112 {
113 bitset_copy (Np, N);
114 for (r = 1; r < nrules + 1; r++)
115 if (!bitset_test (P, r)
116 && useful_production (r, N))
117 {
118 bitset_set (Np, rules[r].lhs->number - ntokens);
119 bitset_set (P, r);
120 }
121 if (bitset_equal_p (N, Np))
122 break;
123 Ns = Np;
124 Np = N;
125 N = Ns;
126 }
127 bitset_free (N);
128 N = Np;
129 }
130
131
132 static void
133 inaccessable_symbols (void)
134 {
135 bitset Vp, Vs, Pp;
136
137 /* Find out which productions are reachable and which symbols are
138 used. Starting with an empty set of productions and a set of
139 symbols which only has the start symbol in it, iterate over all
140 productions until the set of productions remains unchanged for an
141 iteration. For each production which has a LHS in the set of
142 reachable symbols, add the production to the set of reachable
143 productions, and add all of the nonterminals in the RHS of the
144 production to the set of reachable symbols.
145
146 Consider only the (partially) reduced grammar which has only
147 nonterminals in N and productions in P.
148
149 The result is the set P of productions in the reduced grammar,
150 and the set V of symbols in the reduced grammar.
151
152 Although this algorithm also computes the set of terminals which
153 are reachable, no terminal will be deleted from the grammar. Some
154 terminals might not be in the grammar but might be generated by
155 semantic routines, and so the user might want them available with
156 specified numbers. (Is this true?) However, the nonreachable
157 terminals are printed (if running in verbose mode) so that the
158 user can know. */
159
160 Vp = bitset_create (nsyms, BITSET_FIXED);
161 Pp = bitset_create (nrules + 1, BITSET_FIXED);
162
163 /* If the start symbol isn't useful, then nothing will be useful. */
164 if (bitset_test (N, axiom->number - ntokens))
165 {
166 bitset_set (V, axiom->number);
167
168 while (1)
169 {
170 rule_number_t r;
171 bitset_copy (Vp, V);
172 for (r = 1; r < nrules + 1; r++)
173 {
174 if (!bitset_test (Pp, r)
175 && bitset_test (P, r)
176 && bitset_test (V, rules[r].lhs->number))
177 {
178 item_number_t *rhsp;
179 for (rhsp = rules[r].rhs; *rhsp >= 0; rhsp++)
180 if (ISTOKEN (*rhsp) || bitset_test (N, *rhsp - ntokens))
181 bitset_set (Vp, *rhsp);
182 bitset_set (Pp, r);
183 }
184 }
185 if (bitset_equal_p (V, Vp))
186 break;
187 Vs = Vp;
188 Vp = V;
189 V = Vs;
190 }
191 }
192
193 bitset_free (V);
194 V = Vp;
195
196 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
197 bitset_set (V, eoftoken->number); /* end-of-input token */
198 bitset_set (V, errtoken->number); /* error token */
199 bitset_set (V, undeftoken->number); /* some undefined token */
200
201 bitset_free (P);
202 P = Pp;
203
204 nuseful_productions = bitset_count (P);
205 nuseless_productions = nrules - nuseful_productions;
206
207 nuseful_nonterminals = 0;
208 {
209 symbol_number_t i;
210 for (i = ntokens; i < nsyms; i++)
211 if (bitset_test (V, i))
212 nuseful_nonterminals++;
213 }
214 nuseless_nonterminals = nvars - nuseful_nonterminals;
215
216 /* A token that was used in %prec should not be warned about. */
217 {
218 rule_number_t i;
219 for (i = 1; i < nrules + 1; i++)
220 if (rules[i].precsym != 0)
221 bitset_set (V1, rules[i].precsym->number);
222 }
223 }
224
225
226 /*-------------------------------------------------------------------.
227 | Put the useless productions at the end of RULES, and adjust NRULES |
228 | accordingly. |
229 `-------------------------------------------------------------------*/
230
231 static void
232 reduce_grammar_tables (void)
233 {
234 /* Report and flag useless productions. */
235 {
236 rule_number_t r;
237 for (r = 1; r < nrules + 1; r++)
238 {
239 rules[r].useful = bitset_test (P, r);
240 if (!rules[r].useful)
241 {
242 LOCATION_PRINT (stderr, rules[r].location);
243 fprintf (stderr, ": %s: %s: ", _("warning"), _("useless rule"));
244 rule_print (&rules[r], stderr);
245 }
246 }
247 }
248
249 /* Map the nonterminals to their new index: useful first, useless
250 afterwards. Kept for later report. */
251 {
252 int useful = 1;
253 int useless = nrules + 1 - nuseless_productions;
254 rule_t *rules_sorted = XMALLOC (rule_t, nrules + 1) - 1;
255 rule_number_t r;
256 for (r = 1; r < nrules + 1; ++r)
257 rules_sorted[rules[r].useful ? useful++ : useless++] = rules[r];
258 free (rules + 1);
259 rules = rules_sorted;
260
261 /* Renumber the rules markers in RITEMS. */
262 for (r = 1; r < nrules + 1; ++r)
263 {
264 item_number_t *rhsp = rules[r].rhs;
265 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
266 /* Nothing. */;
267 *rhsp = item_number_of_rule_number (r);
268 rules[r].number = r;
269 }
270 nrules -= nuseless_productions;
271 }
272
273 /* Adjust NRITEMS. */
274 {
275 int r;
276 int length;
277 for (r = nrules + 1; r < nrules + 1 + nuseless_productions; ++r)
278 {
279 length = rule_rhs_length (&rules[r]);
280 nritems -= length + 1;
281 }
282 }
283 }
284
285
286 /*------------------------------.
287 | Remove useless nonterminals. |
288 `------------------------------*/
289
290 static void
291 nonterminals_reduce (void)
292 {
293 symbol_number_t i, n;
294
295 /* Map the nonterminals to their new index: useful first, useless
296 afterwards. Kept for later report. */
297
298 symbol_number_t *nontermmap = XCALLOC (symbol_number_t, nvars) - ntokens;
299 n = ntokens;
300 for (i = ntokens; i < nsyms; i++)
301 if (bitset_test (V, i))
302 nontermmap[i] = n++;
303 for (i = ntokens; i < nsyms; i++)
304 if (!bitset_test (V, i))
305 {
306 nontermmap[i] = n++;
307 LOCATION_PRINT (stderr, symbols[i]->location);
308 fprintf (stderr, ": %s: %s: %s\n",
309 _("warning"), _("useless nonterminal"),
310 symbol_tag_get (symbols[i]));
311 }
312
313
314 /* Shuffle elements of tables indexed by symbol number. */
315 {
316 symbol_t **symbols_sorted = XMALLOC (symbol_t *, nvars) - ntokens;
317
318 for (i = ntokens; i < nsyms; i++)
319 symbols[i]->number = nontermmap[i];
320 for (i = ntokens; i < nsyms; i++)
321 symbols_sorted[nontermmap[i]] = symbols[i];
322 for (i = ntokens; i < nsyms; i++)
323 symbols[i] = symbols_sorted[i];
324 free (symbols_sorted + ntokens);
325 }
326
327 {
328 rule_number_t r;
329 for (r = 1; r < nrules + 1; ++r)
330 {
331 item_number_t *rhsp;
332 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
333 if (ISVAR (*rhsp))
334 *rhsp = symbol_number_as_item_number (nontermmap[*rhsp]);
335 }
336 axiom->number = nontermmap[axiom->number];
337 }
338
339 nsyms -= nuseless_nonterminals;
340 nvars -= nuseless_nonterminals;
341
342 free (nontermmap + ntokens);
343 }
344
345
346 /*------------------------------------------------------------------.
347 | Output the detailed results of the reductions. For FILE.output. |
348 `------------------------------------------------------------------*/
349
350 void
351 reduce_output (FILE *out)
352 {
353 if (nuseless_nonterminals > 0)
354 {
355 int i;
356 fprintf (out, "%s\n\n", _("Useless nonterminals:"));
357 for (i = 0; i < nuseless_nonterminals; ++i)
358 fprintf (out, " %s\n", symbol_tag_get (symbols[nsyms + i]));
359 fputs ("\n\n", out);
360 }
361
362 {
363 bool b = FALSE;
364 int i;
365 for (i = 0; i < ntokens; i++)
366 if (!bitset_test (V, i) && !bitset_test (V1, i))
367 {
368 if (!b)
369 fprintf (out, "%s\n\n", _("Terminals which are not used:"));
370 b = TRUE;
371 fprintf (out, " %s\n", symbol_tag_get (symbols[i]));
372 }
373 if (b)
374 fputs ("\n\n", out);
375 }
376
377 if (nuseless_productions > 0)
378 grammar_rules_partial_print (out, _("Useless rules"),
379 nrules + 1,
380 nuseless_productions + nrules + 1);
381 }
382 \f
383
384
385
386
387 /*-------------------------------.
388 | Report the results to STDERR. |
389 `-------------------------------*/
390
391 static void
392 reduce_print (void)
393 {
394 if (yacc_flag && nuseless_productions)
395 fprintf (stderr, ngettext ("%d rule never reduced\n",
396 "%d rules never reduced\n",
397 nuseless_productions),
398 nuseless_productions);
399
400 fprintf (stderr, "%s: %s: ", infile, _("warning"));
401
402 if (nuseless_nonterminals > 0)
403 fprintf (stderr, ngettext ("%d useless nonterminal",
404 "%d useless nonterminals",
405 nuseless_nonterminals),
406 nuseless_nonterminals);
407
408 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
409 fprintf (stderr, _(" and "));
410
411 if (nuseless_productions > 0)
412 fprintf (stderr, ngettext ("%d useless rule",
413 "%d useless rules",
414 nuseless_productions),
415 nuseless_productions);
416 fprintf (stderr, "\n");
417 fflush (stderr);
418 }
419 \f
420 void
421 reduce_grammar (void)
422 {
423 bool reduced;
424
425 /* Allocate the global sets used to compute the reduced grammar */
426
427 N = bitset_create (nvars, BITSET_FIXED);
428 P = bitset_create (nrules + 1, BITSET_FIXED);
429 V = bitset_create (nsyms, BITSET_FIXED);
430 V1 = bitset_create (nsyms, BITSET_FIXED);
431
432 useless_nonterminals ();
433 inaccessable_symbols ();
434
435 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
436 if (!reduced)
437 return;
438
439 reduce_print ();
440
441 if (!bitset_test (N, axiom->number - ntokens))
442 fatal (_("Start symbol %s does not derive any sentence"),
443 symbol_tag_get (symbols[axiom->number]));
444
445 /* First reduce the nonterminals, as they renumber themselves in the
446 whole grammar. If you change the order, nonterms would be
447 renumbered only in the reduced grammar. */
448 if (nuseless_nonterminals > 0)
449 nonterminals_reduce ();
450 if (nuseless_productions > 0)
451 reduce_grammar_tables ();
452
453 if (trace_flag)
454 {
455 grammar_dump (stderr, "Reduced Grammar");
456
457 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
458 , and %d productions.\n",
459 infile, ntokens, nvars, nrules);
460 }
461 }
462
463
464 /*-----------------------------------------------------------.
465 | Free the global sets used to compute the reduced grammar. |
466 `-----------------------------------------------------------*/
467
468 void
469 reduce_free (void)
470 {
471 bitset_free (N);
472 bitset_free (V);
473 bitset_free (V1);
474 bitset_free (P);
475 }