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572909b5 1/* Grammar reduction for Bison.
d6ea8200 2 Copyright (C) 1988, 1989, 2000, 2001, 2002 Free Software Foundation, Inc.
572909b5 3
015acc48 4 This file is part of Bison, the GNU Compiler Compiler.
572909b5 5
015acc48
AD
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.
572909b5 10
015acc48
AD
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.
572909b5 15
015acc48
AD
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. */
572909b5
RS
20
21
015acc48
AD
22/* Reduce the grammar: Find and eliminate unreachable terminals,
23 nonterminals, and productions. David S. Bakin. */
572909b5 24
015acc48
AD
25/* Don't eliminate unreachable terminals: They may be used by the
26 user's parser. */
572909b5 27
572909b5 28#include "system.h"
8b3df748 29#include "quotearg.h"
ceed8467 30#include "getargs.h"
572909b5 31#include "files.h"
0e78e603 32#include "symtab.h"
572909b5 33#include "gram.h"
a0f6b076 34#include "complain.h"
015acc48 35#include "reduce.h"
b2ca4022
AD
36#include "reader.h"
37#include "getargs.h"
ed86e78c 38#include "bitset.h"
572909b5 39
00238958 40/* Set of all nonterminals which are not useless. */
ed86e78c 41static bitset N;
572909b5 42
00238958 43/* Set of all rules which have no useless nonterminals in their RHS. */
ed86e78c 44static bitset P;
00238958
AD
45
46/* Set of all accessible symbols. */
ed86e78c 47static bitset V;
00238958
AD
48
49/* Set of symbols used to define rule precedence (so they are
50 `useless', but no warning should be issued). */
ed86e78c 51static bitset V1;
572909b5 52
9222837b
AD
53static rule_number_t nuseful_productions;
54rule_number_t nuseless_productions;
015acc48 55static int nuseful_nonterminals;
9222837b 56symbol_number_t nuseless_nonterminals;
572909b5 57\f
015acc48
AD
58/*-------------------------------------------------------------------.
59| Another way to do this would be with a set for each production and |
60| then do subset tests against N0, but even for the C grammar the |
61| whole reducing process takes only 2 seconds on my 8Mhz AT. |
62`-------------------------------------------------------------------*/
572909b5 63
a083fbbf 64static bool
9222837b 65useful_production (rule_number_t r, bitset N0)
572909b5 66{
9222837b 67 item_number_t *rhsp;
572909b5 68
015acc48
AD
69 /* A production is useful if all of the nonterminals in its appear
70 in the set of useful nonterminals. */
572909b5 71
9222837b
AD
72 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
73 if (ISVAR (*rhsp) && !bitset_test (N0, *rhsp - ntokens))
8307162d
PE
74 return false;
75 return true;
572909b5
RS
76}
77
78
015acc48
AD
79/*---------------------------------------------------------.
80| Remember that rules are 1-origin, symbols are 0-origin. |
81`---------------------------------------------------------*/
572909b5 82
a083fbbf 83static void
d2729d44 84useless_nonterminals (void)
572909b5 85{
ed86e78c 86 bitset Np, Ns;
9222837b 87 rule_number_t r;
015acc48
AD
88
89 /* N is set as built. Np is set being built this iteration. P is
90 set of all productions which have a RHS all in N. */
91
ed86e78c 92 Np = bitset_create (nvars, BITSET_FIXED);
ed86e78c 93
015acc48
AD
94
95 /* The set being computed is a set of nonterminals which can derive
96 the empty string or strings consisting of all terminals. At each
97 iteration a nonterminal is added to the set if there is a
98 production with that nonterminal as its LHS for which all the
99 nonterminals in its RHS are already in the set. Iterate until
100 the set being computed remains unchanged. Any nonterminals not
101 in the set at that point are useless in that they will never be
102 used in deriving a sentence of the language.
103
104 This iteration doesn't use any special traversal over the
105 productions. A set is kept of all productions for which all the
106 nonterminals in the RHS are in useful. Only productions not in
107 this set are scanned on each iteration. At the end, this set is
108 saved to be used when finding useful productions: only
109 productions in this set will appear in the final grammar. */
572909b5 110
572909b5
RS
111 while (1)
112 {
ed86e78c 113 bitset_copy (Np, N);
4b3d3a8e 114 for (r = 0; r < nrules; r++)
9222837b
AD
115 if (!bitset_test (P, r)
116 && useful_production (r, N))
f9abaa2c 117 {
9222837b
AD
118 bitset_set (Np, rules[r].lhs->number - ntokens);
119 bitset_set (P, r);
f9abaa2c 120 }
ed86e78c 121 if (bitset_equal_p (N, Np))
572909b5
RS
122 break;
123 Ns = Np;
124 Np = N;
125 N = Ns;
126 }
ed86e78c 127 bitset_free (N);
572909b5
RS
128 N = Np;
129}
015acc48
AD
130
131
a083fbbf 132static void
d2729d44 133inaccessable_symbols (void)
572909b5 134{
ed86e78c 135 bitset Vp, Vs, Pp;
015acc48
AD
136
137 /* Find out which productions are reachable and which symbols are
138 used. Starting with an empty set of productions and a set of
139 symbols which only has the start symbol in it, iterate over all
140 productions until the set of productions remains unchanged for an
141 iteration. For each production which has a LHS in the set of
142 reachable symbols, add the production to the set of reachable
143 productions, and add all of the nonterminals in the RHS of the
144 production to the set of reachable symbols.
145
146 Consider only the (partially) reduced grammar which has only
147 nonterminals in N and productions in P.
148
149 The result is the set P of productions in the reduced grammar,
150 and the set V of symbols in the reduced grammar.
151
152 Although this algorithm also computes the set of terminals which
153 are reachable, no terminal will be deleted from the grammar. Some
154 terminals might not be in the grammar but might be generated by
155 semantic routines, and so the user might want them available with
156 specified numbers. (Is this true?) However, the nonreachable
157 terminals are printed (if running in verbose mode) so that the
158 user can know. */
159
ed86e78c 160 Vp = bitset_create (nsyms, BITSET_FIXED);
4b3d3a8e 161 Pp = bitset_create (nrules, BITSET_FIXED);
572909b5
RS
162
163 /* If the start symbol isn't useful, then nothing will be useful. */
88bce5a2 164 if (bitset_test (N, accept->number - ntokens))
572909b5 165 {
88bce5a2 166 bitset_set (V, accept->number);
2c5f66ed
AD
167
168 while (1)
572909b5 169 {
9222837b 170 rule_number_t r;
ed86e78c 171 bitset_copy (Vp, V);
4b3d3a8e 172 for (r = 0; r < nrules; r++)
572909b5 173 {
9222837b
AD
174 if (!bitset_test (Pp, r)
175 && bitset_test (P, r)
176 && bitset_test (V, rules[r].lhs->number))
572909b5 177 {
9222837b
AD
178 item_number_t *rhsp;
179 for (rhsp = rules[r].rhs; *rhsp >= 0; rhsp++)
180 if (ISTOKEN (*rhsp) || bitset_test (N, *rhsp - ntokens))
181 bitset_set (Vp, *rhsp);
182 bitset_set (Pp, r);
572909b5 183 }
572909b5 184 }
ed86e78c 185 if (bitset_equal_p (V, Vp))
2c5f66ed
AD
186 break;
187 Vs = Vp;
188 Vp = V;
189 V = Vs;
572909b5 190 }
572909b5 191 }
572909b5 192
ed86e78c 193 bitset_free (V);
572909b5
RS
194 V = Vp;
195
196 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
88bce5a2 197 bitset_set (V, endtoken->number); /* end-of-input token */
72a23c97
AD
198 bitset_set (V, errtoken->number); /* error token */
199 bitset_set (V, undeftoken->number); /* some undefined token */
572909b5 200
ed86e78c 201 bitset_free (P);
572909b5
RS
202 P = Pp;
203
914feea9 204 nuseful_productions = bitset_count (P);
572909b5
RS
205 nuseless_productions = nrules - nuseful_productions;
206
207 nuseful_nonterminals = 0;
9222837b
AD
208 {
209 symbol_number_t i;
210 for (i = ntokens; i < nsyms; i++)
211 if (bitset_test (V, i))
212 nuseful_nonterminals++;
213 }
572909b5
RS
214 nuseless_nonterminals = nvars - nuseful_nonterminals;
215
216 /* A token that was used in %prec should not be warned about. */
9222837b 217 {
4b3d3a8e
AD
218 rule_number_t r;
219 for (r = 0; r < nrules; ++r)
220 if (rules[r].precsym != 0)
221 bitset_set (V1, rules[r].precsym->number);
9222837b 222 }
572909b5 223}
015acc48 224
c3b407f4
AD
225
226/*-------------------------------------------------------------------.
227| Put the useless productions at the end of RULES, and adjust NRULES |
228| accordingly. |
229`-------------------------------------------------------------------*/
230
a083fbbf 231static void
d2729d44 232reduce_grammar_tables (void)
572909b5 233{
6b98e4b5 234 /* Report and flag useless productions. */
c3b407f4 235 {
9222837b 236 rule_number_t r;
4b3d3a8e 237 for (r = 0; r < nrules; r++)
c8f002c7
AD
238 rules[r].useful = bitset_test (P, r);
239 grammar_rules_never_reduced_report (_("useless rule"));
c3b407f4 240 }
572909b5 241
c3b407f4
AD
242 /* Map the nonterminals to their new index: useful first, useless
243 afterwards. Kept for later report. */
244 {
4b3d3a8e
AD
245 int useful = 0;
246 int useless = nrules - nuseless_productions;
247 rule_t *rules_sorted = XMALLOC (rule_t, nrules);
9222837b 248 rule_number_t r;
4b3d3a8e 249 for (r = 0; r < nrules; ++r)
9222837b 250 rules_sorted[rules[r].useful ? useful++ : useless++] = rules[r];
4b3d3a8e 251 free (rules);
c3b407f4 252 rules = rules_sorted;
076ab033 253
cc9305dd 254 /* Renumber the rules markers in RITEMS. */
4b3d3a8e 255 for (r = 0; r < nrules; ++r)
cc9305dd 256 {
9222837b 257 item_number_t *rhsp = rules[r].rhs;
cc9305dd
AD
258 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
259 /* Nothing. */;
12b0043a 260 *rhsp = rule_number_as_item_number (r);
9222837b 261 rules[r].number = r;
cc9305dd 262 }
c3b407f4
AD
263 nrules -= nuseless_productions;
264 }
076ab033 265
a900a624 266 /* Adjust NRITEMS. */
c3b407f4
AD
267 {
268 int r;
269 int length;
4b3d3a8e 270 for (r = nrules; r < nrules + nuseless_productions; ++r)
076ab033 271 {
c3b407f4
AD
272 length = rule_rhs_length (&rules[r]);
273 nritems -= length + 1;
076ab033 274 }
c3b407f4 275 }
00238958 276}
572909b5 277
572909b5 278
00238958
AD
279/*------------------------------.
280| Remove useless nonterminals. |
281`------------------------------*/
572909b5 282
00238958
AD
283static void
284nonterminals_reduce (void)
285{
a49aecd5 286 symbol_number_t i, n;
572909b5 287
68f1e3ed
AD
288 /* Map the nonterminals to their new index: useful first, useless
289 afterwards. Kept for later report. */
572909b5 290
a49aecd5 291 symbol_number_t *nontermmap = XCALLOC (symbol_number_t, nvars) - ntokens;
00238958
AD
292 n = ntokens;
293 for (i = ntokens; i < nsyms; i++)
ed86e78c 294 if (bitset_test (V, i))
00238958 295 nontermmap[i] = n++;
760b53a8 296 for (i = ntokens; i < nsyms; i++)
ed86e78c 297 if (!bitset_test (V, i))
6b98e4b5
AD
298 {
299 nontermmap[i] = n++;
d6ea8200 300 warn_at (symbols[i]->location, _("useless nonterminal: %s"),
97650f4e 301 symbols[i]->tag);
6b98e4b5 302 }
572909b5 303
00238958 304
760b53a8
AD
305 /* Shuffle elements of tables indexed by symbol number. */
306 {
db8837cb 307 symbol_t **symbols_sorted = XMALLOC (symbol_t *, nvars) - ntokens;
760b53a8 308
bba97eb2
AD
309 for (i = ntokens; i < nsyms; i++)
310 symbols[i]->number = nontermmap[i];
760b53a8 311 for (i = ntokens; i < nsyms; i++)
0e78e603 312 symbols_sorted[nontermmap[i]] = symbols[i];
760b53a8 313 for (i = ntokens; i < nsyms; i++)
0e78e603
AD
314 symbols[i] = symbols_sorted[i];
315 free (symbols_sorted + ntokens);
760b53a8 316 }
572909b5 317
0c2d3f4c 318 {
9222837b 319 rule_number_t r;
4b3d3a8e 320 for (r = 0; r < nrules; ++r)
0c2d3f4c
AD
321 {
322 item_number_t *rhsp;
323 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
324 if (ISVAR (*rhsp))
a49aecd5 325 *rhsp = symbol_number_as_item_number (nontermmap[*rhsp]);
0c2d3f4c 326 }
88bce5a2 327 accept->number = nontermmap[accept->number];
0c2d3f4c 328 }
572909b5 329
00238958
AD
330 nsyms -= nuseless_nonterminals;
331 nvars -= nuseless_nonterminals;
572909b5 332
68f1e3ed 333 free (nontermmap + ntokens);
572909b5 334}
015acc48 335
337c5bd1 336
00238958
AD
337/*------------------------------------------------------------------.
338| Output the detailed results of the reductions. For FILE.output. |
339`------------------------------------------------------------------*/
337c5bd1
AD
340
341void
342reduce_output (FILE *out)
572909b5 343{
572909b5
RS
344 if (nuseless_nonterminals > 0)
345 {
d2d1b42b 346 int i;
c8f002c7 347 fprintf (out, "%s\n\n", _("Useless nonterminals"));
760b53a8 348 for (i = 0; i < nuseless_nonterminals; ++i)
97650f4e 349 fprintf (out, " %s\n", symbols[nsyms + i]->tag);
d2d1b42b 350 fputs ("\n\n", out);
572909b5 351 }
d2d1b42b
AD
352
353 {
8307162d 354 bool b = false;
d2d1b42b
AD
355 int i;
356 for (i = 0; i < ntokens; i++)
ed86e78c 357 if (!bitset_test (V, i) && !bitset_test (V1, i))
572909b5
RS
358 {
359 if (!b)
c8f002c7 360 fprintf (out, "%s\n\n", _("Terminals which are not used"));
8307162d 361 b = true;
97650f4e 362 fprintf (out, " %s\n", symbols[i]->tag);
572909b5 363 }
d2d1b42b
AD
364 if (b)
365 fputs ("\n\n", out);
366 }
572909b5
RS
367
368 if (nuseless_productions > 0)
9757c359 369 grammar_rules_partial_print (out, _("Useless rules"),
c8f002c7 370 rule_useless_p);
572909b5
RS
371}
372\f
572909b5 373
572909b5
RS
374
375
337c5bd1
AD
376
377/*-------------------------------.
378| Report the results to STDERR. |
379`-------------------------------*/
380
a083fbbf 381static void
337c5bd1 382reduce_print (void)
572909b5 383{
89cab50d 384 if (yacc_flag && nuseless_productions)
cb487d7d
AD
385 fprintf (stderr, ngettext ("%d rule never reduced\n",
386 "%d rules never reduced\n",
387 nuseless_productions),
388 nuseless_productions);
572909b5 389
95612cfa 390 fprintf (stderr, "%s: %s: ", grammar_file, _("warning"));
572909b5
RS
391
392 if (nuseless_nonterminals > 0)
cb487d7d
AD
393 fprintf (stderr, ngettext ("%d useless nonterminal",
394 "%d useless nonterminals",
395 nuseless_nonterminals),
396 nuseless_nonterminals);
397
572909b5 398 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
015acc48 399 fprintf (stderr, _(" and "));
572909b5
RS
400
401 if (nuseless_productions > 0)
cb487d7d
AD
402 fprintf (stderr, ngettext ("%d useless rule",
403 "%d useless rules",
404 nuseless_productions),
405 nuseless_productions);
015acc48
AD
406 fprintf (stderr, "\n");
407 fflush (stderr);
408}
409\f
410void
411reduce_grammar (void)
412{
413 bool reduced;
414
415 /* Allocate the global sets used to compute the reduced grammar */
416
ed86e78c 417 N = bitset_create (nvars, BITSET_FIXED);
4b3d3a8e 418 P = bitset_create (nrules, BITSET_FIXED);
ed86e78c 419 V = bitset_create (nsyms, BITSET_FIXED);
ed86e78c 420 V1 = bitset_create (nsyms, BITSET_FIXED);
015acc48
AD
421
422 useless_nonterminals ();
423 inaccessable_symbols ();
424
425 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
337c5bd1
AD
426 if (!reduced)
427 return;
015acc48 428
337c5bd1 429 reduce_print ();
015acc48 430
88bce5a2 431 if (!bitset_test (N, accept->number - ntokens))
1bfb97db
AD
432 fatal_at (startsymbol_location,
433 _("start symbol %s does not derive any sentence"),
434 startsymbol->tag);
015acc48 435
bb88b0fc
AD
436 /* First reduce the nonterminals, as they renumber themselves in the
437 whole grammar. If you change the order, nonterms would be
438 renumbered only in the reduced grammar. */
00238958
AD
439 if (nuseless_nonterminals > 0)
440 nonterminals_reduce ();
bb88b0fc
AD
441 if (nuseless_productions > 0)
442 reduce_grammar_tables ();
9bfe901c 443
273a74fa 444 if (trace_flag & trace_grammar)
9bfe901c 445 {
78ab8f67 446 grammar_dump (stderr, "Reduced Grammar");
9bfe901c
AD
447
448 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
449, and %d productions.\n",
95612cfa 450 grammar_file, ntokens, nvars, nrules);
9bfe901c 451 }
337c5bd1 452}
015acc48 453
015acc48 454
337c5bd1
AD
455/*-----------------------------------------------------------.
456| Free the global sets used to compute the reduced grammar. |
457`-----------------------------------------------------------*/
458
459void
460reduce_free (void)
461{
ed86e78c
AD
462 bitset_free (N);
463 bitset_free (V);
464 bitset_free (V1);
465 bitset_free (P);
572909b5 466}