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1/* Grammar reduction for Bison.
2
3 Copyright (C) 1988-1989, 2000-2003, 2005-2012 Free Software
4 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
33#include "complain.h"
34#include "files.h"
35#include "getargs.h"
36#include "gram.h"
37#include "print-xml.h"
38#include "reader.h"
39#include "reduce.h"
40#include "symtab.h"
41
42/* Set of all nonterminals which are not useless. */
43static bitset N;
44
45/* Set of all rules which have no useless nonterminals in their RHS. */
46static bitset P;
47
48/* Set of all accessible symbols. */
49static bitset V;
50
51/* Set of symbols used to define rule precedence (so they are
52 `useless', but no warning should be issued). */
53static bitset V1;
54
55static rule_number nuseful_productions;
56rule_number nuseless_productions;
57static int nuseful_nonterminals;
58symbol_number 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
66static bool
67useful_production (rule_number r, bitset N0)
68{
69 item_number *rhsp;
70
71 /* A production is useful if all of the nonterminals in its appear
72 in the set of useful nonterminals. */
73
74 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
75 if (ISVAR (*rhsp) && !bitset_test (N0, *rhsp - ntokens))
76 return false;
77 return true;
78}
79
80
81/*---------------------------------------------------------.
82| Remember that rules are 1-origin, symbols are 0-origin. |
83`---------------------------------------------------------*/
84
85static void
86useless_nonterminals (void)
87{
88 bitset Np, Ns;
89 rule_number r;
90
91 /* N is set as built. Np is set being built this iteration. P is
92 set of all productions which have a RHS all in N. */
93
94 Np = bitset_create (nvars, BITSET_FIXED);
95
96
97 /* The set being computed is a set of nonterminals which can derive
98 the empty string or strings consisting of all terminals. At each
99 iteration a nonterminal is added to the set if there is a
100 production with that nonterminal as its LHS for which all the
101 nonterminals in its RHS are already in the set. Iterate until
102 the set being computed remains unchanged. Any nonterminals not
103 in the set at that point are useless in that they will never be
104 used in deriving a sentence of the language.
105
106 This iteration doesn't use any special traversal over the
107 productions. A set is kept of all productions for which all the
108 nonterminals in the RHS are in useful. Only productions not in
109 this set are scanned on each iteration. At the end, this set is
110 saved to be used when finding useful productions: only
111 productions in this set will appear in the final grammar. */
112
113 while (1)
114 {
115 bitset_copy (Np, N);
116 for (r = 0; r < nrules; r++)
117 if (!bitset_test (P, r)
118 && useful_production (r, N))
119 {
120 bitset_set (Np, rules[r].lhs->number - ntokens);
121 bitset_set (P, r);
122 }
123 if (bitset_equal_p (N, Np))
124 break;
125 Ns = Np;
126 Np = N;
127 N = Ns;
128 }
129 bitset_free (N);
130 N = Np;
131}
132
133
134static void
135inaccessable_symbols (void)
136{
137 bitset Vp, Vs, Pp;
138
139 /* Find out which productions are reachable and which symbols are
140 used. Starting with an empty set of productions and a set of
141 symbols which only has the start symbol in it, iterate over all
142 productions until the set of productions remains unchanged for an
143 iteration. For each production which has a LHS in the set of
144 reachable symbols, add the production to the set of reachable
145 productions, and add all of the nonterminals in the RHS of the
146 production to the set of reachable symbols.
147
148 Consider only the (partially) reduced grammar which has only
149 nonterminals in N and productions in P.
150
151 The result is the set P of productions in the reduced grammar,
152 and the set V of symbols in the reduced grammar.
153
154 Although this algorithm also computes the set of terminals which
155 are reachable, no terminal will be deleted from the grammar. Some
156 terminals might not be in the grammar but might be generated by
157 semantic routines, and so the user might want them available with
158 specified numbers. (Is this true?) However, the nonreachable
159 terminals are printed (if running in verbose mode) so that the
160 user can know. */
161
162 Vp = bitset_create (nsyms, BITSET_FIXED);
163 Pp = bitset_create (nrules, BITSET_FIXED);
164
165 /* If the start symbol isn't useful, then nothing will be useful. */
166 if (bitset_test (N, accept->number - ntokens))
167 {
168 bitset_set (V, accept->number);
169
170 while (1)
171 {
172 rule_number r;
173 bitset_copy (Vp, V);
174 for (r = 0; r < nrules; r++)
175 {
176 if (!bitset_test (Pp, r)
177 && bitset_test (P, r)
178 && bitset_test (V, rules[r].lhs->number))
179 {
180 item_number *rhsp;
181 for (rhsp = rules[r].rhs; *rhsp >= 0; rhsp++)
182 if (ISTOKEN (*rhsp) || bitset_test (N, *rhsp - ntokens))
183 bitset_set (Vp, *rhsp);
184 bitset_set (Pp, r);
185 }
186 }
187 if (bitset_equal_p (V, Vp))
188 break;
189 Vs = Vp;
190 Vp = V;
191 V = Vs;
192 }
193 }
194
195 bitset_free (V);
196 V = Vp;
197
198 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
199 bitset_set (V, endtoken->number); /* end-of-input token */
200 bitset_set (V, errtoken->number); /* error token */
201 bitset_set (V, undeftoken->number); /* some undefined token */
202
203 bitset_free (P);
204 P = Pp;
205
206 nuseful_productions = bitset_count (P);
207 nuseless_productions = nrules - nuseful_productions;
208
209 nuseful_nonterminals = 0;
210 {
211 symbol_number i;
212 for (i = ntokens; i < nsyms; i++)
213 if (bitset_test (V, i))
214 nuseful_nonterminals++;
215 }
216 nuseless_nonterminals = nvars - nuseful_nonterminals;
217
218 /* A token that was used in %prec should not be warned about. */
219 {
220 rule_number r;
221 for (r = 0; r < nrules; ++r)
222 if (rules[r].precsym != 0)
223 bitset_set (V1, rules[r].precsym->number);
224 }
225}
226
227
228/*-------------------------------------------------------------------.
229| Put the useless productions at the end of RULES, and adjust NRULES |
230| accordingly. |
231`-------------------------------------------------------------------*/
232
233static void
234reduce_grammar_tables (void)
235{
236 /* Report and flag useless productions. */
237 {
238 rule_number r;
239 for (r = 0; r < nrules; r++)
240 rules[r].useful = bitset_test (P, r);
241 grammar_rules_useless_report (_("rule useless in grammar"));
242 }
243
244 /* Map the nonterminals to their new index: useful first, useless
245 afterwards. Kept for later report. */
246 {
247 int useful = 0;
248 int useless = nrules - nuseless_productions;
249 rule *rules_sorted = xnmalloc (nrules, sizeof *rules_sorted);
250 rule_number r;
251 for (r = 0; r < nrules; ++r)
252 rules_sorted[rules[r].useful ? useful++ : useless++] = rules[r];
253 free (rules);
254 rules = rules_sorted;
255
256 /* Renumber the rules markers in RITEMS. */
257 for (r = 0; r < nrules; ++r)
258 {
259 item_number *rhsp = rules[r].rhs;
260 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
261 /* Nothing. */;
262 *rhsp = rule_number_as_item_number (r);
263 rules[r].number = r;
264 }
265 nrules -= nuseless_productions;
266 }
267
268 /* Adjust NRITEMS. */
269 {
270 rule_number r;
271 int length;
272 for (r = nrules; r < nrules + nuseless_productions; ++r)
273 {
274 length = rule_rhs_length (&rules[r]);
275 nritems -= length + 1;
276 }
277 }
278}
279
280
281/*------------------------------.
282| Remove useless nonterminals. |
283`------------------------------*/
284
285static void
286nonterminals_reduce (void)
287{
288 symbol_number i, n;
289
290 /* Map the nonterminals to their new index: useful first, useless
291 afterwards. Kept for later report. */
292
293 symbol_number *nontermmap = xnmalloc (nvars, sizeof *nontermmap);
294 n = ntokens;
295 for (i = ntokens; i < nsyms; i++)
296 if (bitset_test (V, i))
297 nontermmap[i - ntokens] = n++;
298 for (i = ntokens; i < nsyms; i++)
299 if (!bitset_test (V, i))
300 {
301 nontermmap[i - ntokens] = n++;
302 warn_at (symbols[i]->location, _("nonterminal useless in grammar: %s"),
303 symbols[i]->tag);
304 }
305
306
307 /* Shuffle elements of tables indexed by symbol number. */
308 {
309 symbol **symbols_sorted = xnmalloc (nvars, sizeof *symbols_sorted);
310
311 for (i = ntokens; i < nsyms; i++)
312 symbols[i]->number = nontermmap[i - ntokens];
313 for (i = ntokens; i < nsyms; i++)
314 symbols_sorted[nontermmap[i - ntokens] - ntokens] = symbols[i];
315 for (i = ntokens; i < nsyms; i++)
316 symbols[i] = symbols_sorted[i - ntokens];
317 free (symbols_sorted);
318 }
319
320 {
321 rule_number r;
322 for (r = 0; r < nrules; ++r)
323 {
324 item_number *rhsp;
325 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
326 if (ISVAR (*rhsp))
327 *rhsp = symbol_number_as_item_number (nontermmap[*rhsp
328 - ntokens]);
329 }
330 accept->number = nontermmap[accept->number - ntokens];
331 }
332
333 nsyms -= nuseless_nonterminals;
334 nvars -= nuseless_nonterminals;
335
336 free (nontermmap);
337}
338
339
340/*------------------------------------------------------------------.
341| Output the detailed results of the reductions. For FILE.output. |
342`------------------------------------------------------------------*/
343
344void
345reduce_output (FILE *out)
346{
347 if (nuseless_nonterminals > 0)
348 {
349 int i;
350 fprintf (out, "%s\n\n", _("Nonterminals useless in grammar"));
351 for (i = 0; i < nuseless_nonterminals; ++i)
352 fprintf (out, " %s\n", symbols[nsyms + i]->tag);
353 fputs ("\n\n", out);
354 }
355
356 {
357 bool b = false;
358 int i;
359 for (i = 0; i < ntokens; i++)
360 if (reduce_token_unused_in_grammar (i))
361 {
362 if (!b)
363 fprintf (out, "%s\n\n", _("Terminals unused in grammar"));
364 b = true;
365 fprintf (out, " %s\n", symbols[i]->tag);
366 }
367 if (b)
368 fputs ("\n\n", out);
369 }
370
371 if (nuseless_productions > 0)
372 grammar_rules_partial_print (out, _("Rules useless in grammar"),
373 rule_useless_in_grammar_p);
374}
375\f
376
377/*-------------------------------.
378| Report the results to STDERR. |
379`-------------------------------*/
380
381static void
382reduce_print (void)
383{
384 if (nuseless_nonterminals > 0)
385 warn (ngettext ("%d nonterminal useless in grammar",
386 "%d nonterminals useless in grammar",
387 nuseless_nonterminals),
388 nuseless_nonterminals);
389 if (nuseless_productions > 0)
390 warn (ngettext ("%d rule useless in grammar",
391 "%d rules useless in grammar",
392 nuseless_productions),
393 nuseless_productions);
394}
395\f
396void
397reduce_grammar (void)
398{
399 bool reduced;
400
401 /* Allocate the global sets used to compute the reduced grammar */
402
403 N = bitset_create (nvars, BITSET_FIXED);
404 P = bitset_create (nrules, BITSET_FIXED);
405 V = bitset_create (nsyms, BITSET_FIXED);
406 V1 = bitset_create (nsyms, BITSET_FIXED);
407
408 useless_nonterminals ();
409 inaccessable_symbols ();
410
411 reduced = (nuseless_nonterminals + nuseless_productions > 0);
412 if (!reduced)
413 return;
414
415 reduce_print ();
416
417 if (!bitset_test (N, accept->number - ntokens))
418 fatal_at (startsymbol_location,
419 _("start symbol %s does not derive any sentence"),
420 startsymbol->tag);
421
422 /* First reduce the nonterminals, as they renumber themselves in the
423 whole grammar. If you change the order, nonterms would be
424 renumbered only in the reduced grammar. */
425 if (nuseless_nonterminals > 0)
426 nonterminals_reduce ();
427 if (nuseless_productions > 0)
428 reduce_grammar_tables ();
429
430 if (trace_flag & trace_grammar)
431 {
432 grammar_dump (stderr, "Reduced Grammar");
433
434 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
435, and %d productions.\n",
436 grammar_file, ntokens, nvars, nrules);
437 }
438}
439
440bool
441reduce_token_unused_in_grammar (symbol_number i)
442{
443 aver (i < ntokens);
444 return !bitset_test (V, i) && !bitset_test (V1, i);
445}
446
447bool
448reduce_nonterminal_useless_in_grammar (symbol_number i)
449{
450 aver (ntokens <= i && i < nsyms + nuseless_nonterminals);
451 return nsyms <= i;
452}
453
454/*-----------------------------------------------------------.
455| Free the global sets used to compute the reduced grammar. |
456`-----------------------------------------------------------*/
457
458void
459reduce_free (void)
460{
461 bitset_free (N);
462 bitset_free (V);
463 bitset_free (V1);
464 bitset_free (P);
465}