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1 /* Grammar reduction for Bison.
2
3 Copyright (C) 1988, 1989, 2000, 2001, 2002, 2003, 2005, 2006,
4 2007, 2008 Free Software Foundation, Inc.
5
6 This file is part of Bison, the GNU Compiler Compiler.
7
8 This program is free software: you can redistribute it and/or modify
9 it under the terms of the GNU General Public License as published by
10 the Free Software Foundation, either version 3 of the License, or
11 (at your option) any later version.
12
13 This program is distributed in the hope that it will be useful,
14 but WITHOUT ANY WARRANTY; without even the implied warranty of
15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 GNU General Public License for more details.
17
18 You should have received a copy of the GNU General Public License
19 along with this program. If not, see <http://www.gnu.org/licenses/>. */
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 <config.h>
29 #include "system.h"
30
31 #include <bitset.h>
32 #include <quotearg.h>
33
34 #include "complain.h"
35 #include "files.h"
36 #include "getargs.h"
37 #include "gram.h"
38 #include "print-xml.h"
39 #include "reader.h"
40 #include "reduce.h"
41 #include "symtab.h"
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 rule_number nuseful_productions;
57 rule_number nuseless_productions;
58 static int nuseful_nonterminals;
59 symbol_number 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 (rule_number r, bitset N0)
69 {
70 item_number *rhsp;
71
72 /* A production is useful if all of the nonterminals in its appear
73 in the set of useful nonterminals. */
74
75 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
76 if (ISVAR (*rhsp) && !bitset_test (N0, *rhsp - 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 rule_number r;
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 (r = 0; r < nrules; r++)
118 if (!bitset_test (P, r)
119 && useful_production (r, N))
120 {
121 bitset_set (Np, rules[r].lhs->number - ntokens);
122 bitset_set (P, r);
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
140 /* Find out which productions are reachable and which symbols are
141 used. Starting with an empty set of productions and a set of
142 symbols which only has the start symbol in it, iterate over all
143 productions until the set of productions remains unchanged for an
144 iteration. For each production which has a LHS in the set of
145 reachable symbols, add the production to the set of reachable
146 productions, and add all of the nonterminals in the RHS of the
147 production to the set of reachable symbols.
148
149 Consider only the (partially) reduced grammar which has only
150 nonterminals in N and productions in P.
151
152 The result is the set P of productions in the reduced grammar,
153 and the set V of symbols in the reduced grammar.
154
155 Although this algorithm also computes the set of terminals which
156 are reachable, no terminal will be deleted from the grammar. Some
157 terminals might not be in the grammar but might be generated by
158 semantic routines, and so the user might want them available with
159 specified numbers. (Is this true?) However, the nonreachable
160 terminals are printed (if running in verbose mode) so that the
161 user can know. */
162
163 Vp = bitset_create (nsyms, BITSET_FIXED);
164 Pp = bitset_create (nrules, BITSET_FIXED);
165
166 /* If the start symbol isn't useful, then nothing will be useful. */
167 if (bitset_test (N, accept->number - ntokens))
168 {
169 bitset_set (V, accept->number);
170
171 while (1)
172 {
173 rule_number r;
174 bitset_copy (Vp, V);
175 for (r = 0; r < nrules; r++)
176 {
177 if (!bitset_test (Pp, r)
178 && bitset_test (P, r)
179 && bitset_test (V, rules[r].lhs->number))
180 {
181 item_number *rhsp;
182 for (rhsp = rules[r].rhs; *rhsp >= 0; rhsp++)
183 if (ISTOKEN (*rhsp) || bitset_test (N, *rhsp - ntokens))
184 bitset_set (Vp, *rhsp);
185 bitset_set (Pp, r);
186 }
187 }
188 if (bitset_equal_p (V, Vp))
189 break;
190 Vs = Vp;
191 Vp = V;
192 V = Vs;
193 }
194 }
195
196 bitset_free (V);
197 V = Vp;
198
199 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
200 bitset_set (V, endtoken->number); /* end-of-input token */
201 bitset_set (V, errtoken->number); /* error token */
202 bitset_set (V, undeftoken->number); /* some undefined token */
203
204 bitset_free (P);
205 P = Pp;
206
207 nuseful_productions = bitset_count (P);
208 nuseless_productions = nrules - nuseful_productions;
209
210 nuseful_nonterminals = 0;
211 {
212 symbol_number i;
213 for (i = ntokens; i < nsyms; i++)
214 if (bitset_test (V, i))
215 nuseful_nonterminals++;
216 }
217 nuseless_nonterminals = nvars - nuseful_nonterminals;
218
219 /* A token that was used in %prec should not be warned about. */
220 {
221 rule_number r;
222 for (r = 0; r < nrules; ++r)
223 if (rules[r].precsym != 0)
224 bitset_set (V1, rules[r].precsym->number);
225 }
226 }
227
228
229 /*-------------------------------------------------------------------.
230 | Put the useless productions at the end of RULES, and adjust NRULES |
231 | accordingly. |
232 `-------------------------------------------------------------------*/
233
234 static void
235 reduce_grammar_tables (void)
236 {
237 /* Report and flag useless productions. */
238 {
239 rule_number r;
240 for (r = 0; r < nrules; r++)
241 rules[r].useful = bitset_test (P, r);
242 grammar_rules_useless_report (_("rule useless in grammar"));
243 }
244
245 /* Map the nonterminals to their new index: useful first, useless
246 afterwards. Kept for later report. */
247 {
248 int useful = 0;
249 int useless = nrules - nuseless_productions;
250 rule *rules_sorted = xnmalloc (nrules, sizeof *rules_sorted);
251 rule_number r;
252 for (r = 0; r < nrules; ++r)
253 rules_sorted[rules[r].useful ? useful++ : useless++] = rules[r];
254 free (rules);
255 rules = rules_sorted;
256
257 /* Renumber the rules markers in RITEMS. */
258 for (r = 0; r < nrules; ++r)
259 {
260 item_number *rhsp = rules[r].rhs;
261 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
262 /* Nothing. */;
263 *rhsp = rule_number_as_item_number (r);
264 rules[r].number = r;
265 }
266 nrules -= nuseless_productions;
267 }
268
269 /* Adjust NRITEMS. */
270 {
271 rule_number r;
272 int length;
273 for (r = nrules; r < nrules + nuseless_productions; ++r)
274 {
275 length = rule_rhs_length (&rules[r]);
276 nritems -= length + 1;
277 }
278 }
279 }
280
281
282 /*------------------------------.
283 | Remove useless nonterminals. |
284 `------------------------------*/
285
286 static void
287 nonterminals_reduce (void)
288 {
289 symbol_number i, n;
290
291 /* Map the nonterminals to their new index: useful first, useless
292 afterwards. Kept for later report. */
293
294 symbol_number *nontermmap = xnmalloc (nvars, sizeof *nontermmap);
295 n = ntokens;
296 for (i = ntokens; i < nsyms; i++)
297 if (bitset_test (V, i))
298 nontermmap[i - ntokens] = n++;
299 for (i = ntokens; i < nsyms; i++)
300 if (!bitset_test (V, i))
301 {
302 nontermmap[i - ntokens] = n++;
303 warn_at (symbols[i]->location, _("nonterminal useless in grammar: %s"),
304 symbols[i]->tag);
305 }
306
307
308 /* Shuffle elements of tables indexed by symbol number. */
309 {
310 symbol **symbols_sorted = xnmalloc (nvars, sizeof *symbols_sorted);
311
312 for (i = ntokens; i < nsyms; i++)
313 symbols[i]->number = nontermmap[i - ntokens];
314 for (i = ntokens; i < nsyms; i++)
315 symbols_sorted[nontermmap[i - ntokens] - ntokens] = symbols[i];
316 for (i = ntokens; i < nsyms; i++)
317 symbols[i] = symbols_sorted[i - ntokens];
318 free (symbols_sorted);
319 }
320
321 {
322 rule_number r;
323 for (r = 0; r < nrules; ++r)
324 {
325 item_number *rhsp;
326 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
327 if (ISVAR (*rhsp))
328 *rhsp = symbol_number_as_item_number (nontermmap[*rhsp
329 - ntokens]);
330 }
331 accept->number = nontermmap[accept->number - ntokens];
332 }
333
334 nsyms -= nuseless_nonterminals;
335 nvars -= nuseless_nonterminals;
336
337 free (nontermmap);
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", _("Nonterminals useless in grammar"));
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 (reduce_token_unused_in_grammar (i))
362 {
363 if (!b)
364 fprintf (out, "%s\n\n", _("Terminals unused in grammar"));
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 grammar_rules_partial_print (out, _("Rules useless in grammar"),
374 rule_useless_in_grammar_p);
375 }
376 \f
377
378 /*-------------------------------.
379 | Report the results to STDERR. |
380 `-------------------------------*/
381
382 static void
383 reduce_print (void)
384 {
385 if (nuseless_nonterminals > 0)
386 {
387 fprintf (stderr, "%s: %s: ", grammar_file, _("warning"));
388 fprintf (stderr, ngettext ("%d nonterminal useless in grammar",
389 "%d nonterminals useless in grammar",
390 nuseless_nonterminals),
391 nuseless_nonterminals);
392 fprintf (stderr, "\n");
393 }
394 if (nuseless_productions > 0)
395 {
396 fprintf (stderr, "%s: %s: ", grammar_file, _("warning"));
397 fprintf (stderr, ngettext ("%d rule useless in grammar",
398 "%d rules useless in grammar",
399 nuseless_productions),
400 nuseless_productions);
401 fprintf (stderr, "\n");
402 }
403 }
404 \f
405 void
406 reduce_grammar (void)
407 {
408 bool reduced;
409
410 /* Allocate the global sets used to compute the reduced grammar */
411
412 N = bitset_create (nvars, BITSET_FIXED);
413 P = bitset_create (nrules, BITSET_FIXED);
414 V = bitset_create (nsyms, BITSET_FIXED);
415 V1 = bitset_create (nsyms, BITSET_FIXED);
416
417 useless_nonterminals ();
418 inaccessable_symbols ();
419
420 reduced = (nuseless_nonterminals + nuseless_productions > 0);
421 if (!reduced)
422 return;
423
424 reduce_print ();
425
426 if (!bitset_test (N, accept->number - ntokens))
427 fatal_at (startsymbol_location,
428 _("start symbol %s does not derive any sentence"),
429 startsymbol->tag);
430
431 /* First reduce the nonterminals, as they renumber themselves in the
432 whole grammar. If you change the order, nonterms would be
433 renumbered only in the reduced grammar. */
434 if (nuseless_nonterminals > 0)
435 nonterminals_reduce ();
436 if (nuseless_productions > 0)
437 reduce_grammar_tables ();
438
439 if (trace_flag & trace_grammar)
440 {
441 grammar_dump (stderr, "Reduced Grammar");
442
443 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
444 , and %d productions.\n",
445 grammar_file, ntokens, nvars, nrules);
446 }
447 }
448
449 bool
450 reduce_token_unused_in_grammar (symbol_number i)
451 {
452 aver (i < ntokens);
453 return !bitset_test (V, i) && !bitset_test (V1, i);
454 }
455
456 bool
457 reduce_nonterminal_useless_in_grammar (symbol_number i)
458 {
459 aver (ntokens <= i && i < nsyms + nuseless_nonterminals);
460 return nsyms <= i;
461 }
462
463 /*-----------------------------------------------------------.
464 | Free the global sets used to compute the reduced grammar. |
465 `-----------------------------------------------------------*/
466
467 void
468 reduce_free (void)
469 {
470 bitset_free (N);
471 bitset_free (V);
472 bitset_free (V1);
473 bitset_free (P);
474 }