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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 /* Renumber the rules markers in RITEMS. */
252 for (i = 1; i < nrules + 1; ++i)
253 {
254 short *rhsp = rules[i].rhs;
255 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
256 /* Nothing. */;
257 *rhsp = -i;
258 rules[i].number = i;
259 }
260 nrules -= nuseless_productions;
261 }
262
263 /* Adjust NRITEMS and NITEMS. */
264 {
265 int r;
266 int length;
267 for (r = nrules + 1; r < nrules + 1 + nuseless_productions; ++r)
268 {
269 length = rule_rhs_length (&rules[r]);
270 nritems -= length + 1;
271 nitems -= length + 1;
272 }
273 }
274 }
275
276
277 /*------------------------------.
278 | Remove useless nonterminals. |
279 `------------------------------*/
280
281 static void
282 nonterminals_reduce (void)
283 {
284 int i, n;
285
286 /* Map the nonterminals to their new index: useful first, useless
287 afterwards. Kept for later report. */
288
289 short *nontermmap = XCALLOC (short, nvars) - ntokens;
290 n = ntokens;
291 for (i = ntokens; i < nsyms; i++)
292 if (bitset_test (V, i))
293 nontermmap[i] = n++;
294 for (i = ntokens; i < nsyms; i++)
295 if (!bitset_test (V, i))
296 nontermmap[i] = n++;
297
298
299 /* Shuffle elements of tables indexed by symbol number. */
300 {
301 bucket **symbols_sorted = XMALLOC (bucket *, nvars) - ntokens;
302
303 for (i = ntokens; i < nsyms; i++)
304 symbols[i]->number = nontermmap[i];
305 for (i = ntokens; i < nsyms; i++)
306 symbols_sorted[nontermmap[i]] = symbols[i];
307 for (i = ntokens; i < nsyms; i++)
308 symbols[i] = symbols_sorted[i];
309 free (symbols_sorted + ntokens);
310 }
311
312 /* Replace all symbol numbers in valid data structures. */
313
314 for (i = 1; i < nrules + 1; i++)
315 {
316 if (ISVAR (rules[i].precsym))
317 /* Can this happen? */
318 rules[i].precsym = nontermmap[rules[i].precsym];
319 }
320
321 for (i = 0; i < nritems; ++i)
322 if (ISVAR (ritem[i]))
323 ritem[i] = nontermmap[ritem[i]];
324
325 start_symbol = nontermmap[start_symbol];
326
327 nsyms -= nuseless_nonterminals;
328 nvars -= nuseless_nonterminals;
329
330 free (nontermmap + ntokens);
331 }
332
333
334 /*------------------------------------------------------------------.
335 | Output the detailed results of the reductions. For FILE.output. |
336 `------------------------------------------------------------------*/
337
338 void
339 reduce_output (FILE *out)
340 {
341 if (nuseless_nonterminals > 0)
342 {
343 int i;
344 fprintf (out, "%s\n\n", _("Useless nonterminals:"));
345 for (i = 0; i < nuseless_nonterminals; ++i)
346 fprintf (out, " %s\n", symbols[nsyms + i]->tag);
347 fputs ("\n\n", out);
348 }
349
350 {
351 bool b = FALSE;
352 int i;
353 for (i = 0; i < ntokens; i++)
354 if (!bitset_test (V, i) && !bitset_test (V1, i))
355 {
356 if (!b)
357 fprintf (out, "%s\n\n", _("Terminals which are not used:"));
358 b = TRUE;
359 fprintf (out, " %s\n", symbols[i]->tag);
360 }
361 if (b)
362 fputs ("\n\n", out);
363 }
364
365 if (nuseless_productions > 0)
366 {
367 int i;
368 fprintf (out, "%s\n\n", _("Useless rules:"));
369 for (i = nrules + 1; i < nuseless_productions + nrules + 1; i++)
370 {
371 rule r;
372 fprintf (out, "#%-4d ", rules[i].user_number - 1);
373 fprintf (out, "%s:", rules[i].lhs->tag);
374 for (r = rules[i].rhs; *r >= 0; r++)
375 fprintf (out, " %s", symbols[*r]->tag);
376 fputs (";\n", out);
377 }
378 fputs ("\n\n", out);
379 }
380 }
381 \f
382 static void
383 dump_grammar (FILE *out)
384 {
385 int i;
386 rule r;
387
388 fprintf (out, "REDUCED GRAMMAR\n\n");
389 fprintf (out,
390 "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n",
391 ntokens, nvars, nsyms, nrules, nitems);
392 fprintf (out, "Variables\n---------\n\n");
393 fprintf (out, "Value Sprec Sassoc Tag\n");
394 for (i = ntokens; i < nsyms; i++)
395 fprintf (out, "%5d %5d %5d %s\n",
396 i,
397 symbols[i]->prec, symbols[i]->assoc, symbols[i]->tag);
398 fprintf (out, "\n\n");
399 fprintf (out, "Rules\n-----\n\n");
400 fprintf (out, "Num (Prec, Assoc, Useful, Ritem Range) Lhs -> Rhs (Ritem range) [Num]\n");
401 for (i = 1; i < nrules + nuseless_productions + 1; i++)
402 {
403 int rhs_count = 0;
404 /* Find the last RHS index in ritems. */
405 for (r = rules[i].rhs; *r >= 0; ++r)
406 ++rhs_count;
407 fprintf (out, "%3d (%2d, %2d, %2d, %2d-%2d) %2d ->",
408 i - 1,
409 rules[i].prec, rules[i].assoc, rules[i].useful,
410 rules[i].rhs - ritem, rules[i].rhs - ritem + rhs_count - 1,
411 rules[i].lhs->number);
412 /* Dumped the RHS. */
413 for (r = rules[i].rhs; *r >= 0; r++)
414 fprintf (out, "%3d", *r);
415 fprintf (out, " [%d]\n", -(*r) - 1);
416 }
417 fprintf (out, "\n\n");
418 fprintf (out, "Rules interpreted\n-----------------\n\n");
419 for (i = 1; i < nrules + nuseless_productions + 1; i++)
420 {
421 fprintf (out, "%-5d %s :", i, rules[i].lhs->tag);
422 for (r = rules[i].rhs; *r >= 0; r++)
423 fprintf (out, " %s", symbols[*r]->tag);
424 fputc ('\n', out);
425 }
426 fprintf (out, "\n\n");
427 }
428
429
430
431 /*-------------------------------.
432 | Report the results to STDERR. |
433 `-------------------------------*/
434
435 static void
436 reduce_print (void)
437 {
438 if (yacc_flag && nuseless_productions)
439 fprintf (stderr, ngettext ("%d rule never reduced\n",
440 "%d rules never reduced\n",
441 nuseless_productions),
442 nuseless_productions);
443
444 fprintf (stderr, _("%s contains "), infile);
445
446 if (nuseless_nonterminals > 0)
447 fprintf (stderr, ngettext ("%d useless nonterminal",
448 "%d useless nonterminals",
449 nuseless_nonterminals),
450 nuseless_nonterminals);
451
452 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
453 fprintf (stderr, _(" and "));
454
455 if (nuseless_productions > 0)
456 fprintf (stderr, ngettext ("%d useless rule",
457 "%d useless rules",
458 nuseless_productions),
459 nuseless_productions);
460 fprintf (stderr, "\n");
461 fflush (stderr);
462 }
463 \f
464 void
465 reduce_grammar (void)
466 {
467 bool reduced;
468
469 /* Allocate the global sets used to compute the reduced grammar */
470
471 N = bitset_create (nvars, BITSET_FIXED);
472 P = bitset_create (nrules + 1, BITSET_FIXED);
473 V = bitset_create (nsyms, BITSET_FIXED);
474 V1 = bitset_create (nsyms, BITSET_FIXED);
475
476 useless_nonterminals ();
477 inaccessable_symbols ();
478
479 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
480 if (!reduced)
481 return;
482
483 reduce_print ();
484
485 if (!bitset_test (N, start_symbol - ntokens))
486 fatal (_("Start symbol %s does not derive any sentence"),
487 symbols[start_symbol]->tag);
488
489 if (nuseless_productions > 0)
490 reduce_grammar_tables ();
491 if (nuseless_nonterminals > 0)
492 nonterminals_reduce ();
493
494 if (trace_flag)
495 {
496 dump_grammar (stderr);
497
498 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
499 , and %d productions.\n",
500 infile, ntokens, nvars, nrules);
501 }
502 }
503
504
505 /*-----------------------------------------------------------.
506 | Free the global sets used to compute the reduced grammar. |
507 `-----------------------------------------------------------*/
508
509 void
510 reduce_free (void)
511 {
512 bitset_free (N);
513 bitset_free (V);
514 bitset_free (V1);
515 bitset_free (P);
516 }