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1/* Grammar reduction for Bison.
2
3 Copyright (C) 1988, 1989, 2000, 2001, 2002, 2003, 2005, 2006 Free
4 Software Foundation, Inc.
5
6 This file is part of Bison, the GNU Compiler Compiler.
7
8 Bison 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 2, or (at your option)
11 any later version.
12
13 Bison 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 Bison; see the file COPYING. If not, write to
20 the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
21 Boston, MA 02110-1301, USA. */
22
23
24/* Reduce the grammar: Find and eliminate unreachable terminals,
25 nonterminals, and productions. David S. Bakin. */
26
27/* Don't eliminate unreachable terminals: They may be used by the
28 user's parser. */
29
30#include <config.h>
31#include "system.h"
32
33#include <bitset.h>
34#include <quotearg.h>
35
36#include "complain.h"
37#include "files.h"
38#include "getargs.h"
39#include "gram.h"
40#include "reader.h"
41#include "reduce.h"
42#include "symtab.h"
43
44/* Set of all nonterminals which are not useless. */
45static bitset N;
46
47/* Set of all rules which have no useless nonterminals in their RHS. */
48static bitset P;
49
50/* Set of all accessible symbols. */
51static bitset V;
52
53/* Set of symbols used to define rule precedence (so they are
54 `useless', but no warning should be issued). */
55static bitset V1;
56
57static rule_number nuseful_productions;
58rule_number nuseless_productions;
59static int nuseful_nonterminals;
60symbol_number nuseless_nonterminals;
61\f
62/*-------------------------------------------------------------------.
63| Another way to do this would be with a set for each production and |
64| then do subset tests against N0, but even for the C grammar the |
65| whole reducing process takes only 2 seconds on my 8Mhz AT. |
66`-------------------------------------------------------------------*/
67
68static bool
69useful_production (rule_number r, bitset N0)
70{
71 item_number *rhsp;
72
73 /* A production is useful if all of the nonterminals in its appear
74 in the set of useful nonterminals. */
75
76 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
77 if (ISVAR (*rhsp) && !bitset_test (N0, *rhsp - ntokens))
78 return false;
79 return true;
80}
81
82
83/*---------------------------------------------------------.
84| Remember that rules are 1-origin, symbols are 0-origin. |
85`---------------------------------------------------------*/
86
87static void
88useless_nonterminals (void)
89{
90 bitset Np, Ns;
91 rule_number r;
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 (r = 0; r < nrules; r++)
119 if (!bitset_test (P, r)
120 && useful_production (r, N))
121 {
122 bitset_set (Np, rules[r].lhs->number - ntokens);
123 bitset_set (P, r);
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
136static void
137inaccessable_symbols (void)
138{
139 bitset Vp, Vs, Pp;
140
141 /* Find out which productions are reachable and which symbols are
142 used. Starting with an empty set of productions and a set of
143 symbols which only has the start symbol in it, iterate over all
144 productions until the set of productions remains unchanged for an
145 iteration. For each production which has a LHS in the set of
146 reachable symbols, add the production to the set of reachable
147 productions, and add all of the nonterminals in the RHS of the
148 production to the set of reachable symbols.
149
150 Consider only the (partially) reduced grammar which has only
151 nonterminals in N and productions in P.
152
153 The result is the set P of productions in the reduced grammar,
154 and the set V of symbols in the reduced grammar.
155
156 Although this algorithm also computes the set of terminals which
157 are reachable, no terminal will be deleted from the grammar. Some
158 terminals might not be in the grammar but might be generated by
159 semantic routines, and so the user might want them available with
160 specified numbers. (Is this true?) However, the nonreachable
161 terminals are printed (if running in verbose mode) so that the
162 user can know. */
163
164 Vp = bitset_create (nsyms, BITSET_FIXED);
165 Pp = bitset_create (nrules, BITSET_FIXED);
166
167 /* If the start symbol isn't useful, then nothing will be useful. */
168 if (bitset_test (N, accept->number - ntokens))
169 {
170 bitset_set (V, accept->number);
171
172 while (1)
173 {
174 rule_number r;
175 bitset_copy (Vp, V);
176 for (r = 0; r < nrules; r++)
177 {
178 if (!bitset_test (Pp, r)
179 && bitset_test (P, r)
180 && bitset_test (V, rules[r].lhs->number))
181 {
182 item_number *rhsp;
183 for (rhsp = rules[r].rhs; *rhsp >= 0; rhsp++)
184 if (ISTOKEN (*rhsp) || bitset_test (N, *rhsp - ntokens))
185 bitset_set (Vp, *rhsp);
186 bitset_set (Pp, r);
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, endtoken->number); /* end-of-input token */
202 bitset_set (V, errtoken->number); /* error token */
203 bitset_set (V, undeftoken->number); /* 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 {
213 symbol_number i;
214 for (i = ntokens; i < nsyms; i++)
215 if (bitset_test (V, i))
216 nuseful_nonterminals++;
217 }
218 nuseless_nonterminals = nvars - nuseful_nonterminals;
219
220 /* A token that was used in %prec should not be warned about. */
221 {
222 rule_number r;
223 for (r = 0; r < nrules; ++r)
224 if (rules[r].precsym != 0)
225 bitset_set (V1, rules[r].precsym->number);
226 }
227}
228
229
230/*-------------------------------------------------------------------.
231| Put the useless productions at the end of RULES, and adjust NRULES |
232| accordingly. |
233`-------------------------------------------------------------------*/
234
235static void
236reduce_grammar_tables (void)
237{
238 /* Report and flag useless productions. */
239 {
240 rule_number r;
241 for (r = 0; r < nrules; r++)
242 rules[r].useful = bitset_test (P, r);
243 grammar_rules_never_reduced_report (_("useless rule"));
244 }
245
246 /* Map the nonterminals to their new index: useful first, useless
247 afterwards. Kept for later report. */
248 {
249 int useful = 0;
250 int useless = nrules - nuseless_productions;
251 rule *rules_sorted = xnmalloc (nrules, sizeof *rules_sorted);
252 rule_number r;
253 for (r = 0; r < nrules; ++r)
254 rules_sorted[rules[r].useful ? useful++ : useless++] = rules[r];
255 free (rules);
256 rules = rules_sorted;
257
258 /* Renumber the rules markers in RITEMS. */
259 for (r = 0; r < nrules; ++r)
260 {
261 item_number *rhsp = rules[r].rhs;
262 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
263 /* Nothing. */;
264 *rhsp = rule_number_as_item_number (r);
265 rules[r].number = r;
266 }
267 nrules -= nuseless_productions;
268 }
269
270 /* Adjust NRITEMS. */
271 {
272 rule_number r;
273 int length;
274 for (r = nrules; r < nrules + nuseless_productions; ++r)
275 {
276 length = rule_rhs_length (&rules[r]);
277 nritems -= length + 1;
278 }
279 }
280}
281
282
283/*------------------------------.
284| Remove useless nonterminals. |
285`------------------------------*/
286
287static void
288nonterminals_reduce (void)
289{
290 symbol_number i, n;
291
292 /* Map the nonterminals to their new index: useful first, useless
293 afterwards. Kept for later report. */
294
295 symbol_number *nontermmap = xnmalloc (nvars, sizeof *nontermmap);
296 n = ntokens;
297 for (i = ntokens; i < nsyms; i++)
298 if (bitset_test (V, i))
299 nontermmap[i - ntokens] = n++;
300 for (i = ntokens; i < nsyms; i++)
301 if (!bitset_test (V, i))
302 {
303 nontermmap[i - ntokens] = n++;
304 warn_at (symbols[i]->location, _("useless nonterminal: %s"),
305 symbols[i]->tag);
306 }
307
308
309 /* Shuffle elements of tables indexed by symbol number. */
310 {
311 symbol **symbols_sorted = xnmalloc (nvars, sizeof *symbols_sorted);
312
313 for (i = ntokens; i < nsyms; i++)
314 symbols[i]->number = nontermmap[i - ntokens];
315 for (i = ntokens; i < nsyms; i++)
316 symbols_sorted[nontermmap[i - ntokens] - ntokens] = symbols[i];
317 for (i = ntokens; i < nsyms; i++)
318 symbols[i] = symbols_sorted[i - ntokens];
319 free (symbols_sorted);
320 }
321
322 {
323 rule_number r;
324 for (r = 0; r < nrules; ++r)
325 {
326 item_number *rhsp;
327 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
328 if (ISVAR (*rhsp))
329 *rhsp = symbol_number_as_item_number (nontermmap[*rhsp
330 - ntokens]);
331 }
332 accept->number = nontermmap[accept->number - ntokens];
333 }
334
335 nsyms -= nuseless_nonterminals;
336 nvars -= nuseless_nonterminals;
337
338 free (nontermmap);
339}
340
341
342/*------------------------------------------------------------------.
343| Output the detailed results of the reductions. For FILE.output. |
344`------------------------------------------------------------------*/
345
346void
347reduce_output (FILE *out)
348{
349 if (nuseless_nonterminals > 0)
350 {
351 int i;
352 fprintf (out, "%s\n\n", _("Useless nonterminals"));
353 for (i = 0; i < nuseless_nonterminals; ++i)
354 fprintf (out, " %s\n", symbols[nsyms + i]->tag);
355 fputs ("\n\n", out);
356 }
357
358 {
359 bool b = false;
360 int i;
361 for (i = 0; i < ntokens; i++)
362 if (!bitset_test (V, i) && !bitset_test (V1, i))
363 {
364 if (!b)
365 fprintf (out, "%s\n\n", _("Terminals which are not used"));
366 b = true;
367 fprintf (out, " %s\n", symbols[i]->tag);
368 }
369 if (b)
370 fputs ("\n\n", out);
371 }
372
373 if (nuseless_productions > 0)
374 grammar_rules_partial_print (out, _("Useless rules"),
375 rule_useless_p);
376}
377\f
378
379
380
381
382/*-------------------------------.
383| Report the results to STDERR. |
384`-------------------------------*/
385
386static void
387reduce_print (void)
388{
389 if (yacc_flag && nuseless_productions)
390 fprintf (stderr, ngettext ("%d rule never reduced\n",
391 "%d rules never reduced\n",
392 nuseless_productions),
393 nuseless_productions);
394
395 fprintf (stderr, "%s: %s: ", grammar_file, _("warning"));
396
397 if (nuseless_nonterminals > 0)
398 fprintf (stderr, ngettext ("%d useless nonterminal",
399 "%d useless nonterminals",
400 nuseless_nonterminals),
401 nuseless_nonterminals);
402
403 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
404 fprintf (stderr, _(" and "));
405
406 if (nuseless_productions > 0)
407 fprintf (stderr, ngettext ("%d useless rule",
408 "%d useless rules",
409 nuseless_productions),
410 nuseless_productions);
411 fprintf (stderr, "\n");
412}
413\f
414void
415reduce_grammar (void)
416{
417 bool reduced;
418
419 /* Allocate the global sets used to compute the reduced grammar */
420
421 N = bitset_create (nvars, BITSET_FIXED);
422 P = bitset_create (nrules, BITSET_FIXED);
423 V = bitset_create (nsyms, BITSET_FIXED);
424 V1 = bitset_create (nsyms, BITSET_FIXED);
425
426 useless_nonterminals ();
427 inaccessable_symbols ();
428
429 reduced = (nuseless_nonterminals + nuseless_productions > 0);
430 if (!reduced)
431 return;
432
433 reduce_print ();
434
435 if (!bitset_test (N, accept->number - ntokens))
436 fatal_at (startsymbol_location,
437 _("start symbol %s does not derive any sentence"),
438 startsymbol->tag);
439
440 /* First reduce the nonterminals, as they renumber themselves in the
441 whole grammar. If you change the order, nonterms would be
442 renumbered only in the reduced grammar. */
443 if (nuseless_nonterminals > 0)
444 nonterminals_reduce ();
445 if (nuseless_productions > 0)
446 reduce_grammar_tables ();
447
448 if (trace_flag & trace_grammar)
449 {
450 grammar_dump (stderr, "Reduced Grammar");
451
452 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
453, and %d productions.\n",
454 grammar_file, ntokens, nvars, nrules);
455 }
456}
457
458
459/*-----------------------------------------------------------.
460| Free the global sets used to compute the reduced grammar. |
461`-----------------------------------------------------------*/
462
463void
464reduce_free (void)
465{
466 bitset_free (N);
467 bitset_free (V);
468 bitset_free (V1);
469 bitset_free (P);
470}