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