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572909b5 1/* Grammar reduction for Bison.
8b3df748 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
015acc48 53static int nuseful_productions;
78ab8f67 54int nuseless_productions;
015acc48 55static int nuseful_nonterminals;
630e182b 56int 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
ed86e78c 65useful_production (int i, bitset N0)
572909b5 66{
62a3e4f0 67 item_number_t *r;
572909b5
RS
68 short n;
69
015acc48
AD
70 /* A production is useful if all of the nonterminals in its appear
71 in the set of useful nonterminals. */
572909b5 72
99013900 73 for (r = rules[i].rhs; *r >= 0; r++)
914feea9
AD
74 if (ISVAR (n = *r) && !bitset_test (N0, n - ntokens))
75 return FALSE;
572909b5
RS
76 return TRUE;
77}
78
79
015acc48
AD
80/*---------------------------------------------------------.
81| Remember that rules are 1-origin, symbols are 0-origin. |
82`---------------------------------------------------------*/
572909b5 83
a083fbbf 84static void
d2729d44 85useless_nonterminals (void)
572909b5 86{
ed86e78c 87 bitset Np, Ns;
342b8b6e 88 int i;
015acc48
AD
89
90 /* N is set as built. Np is set being built this iteration. P is
91 set of all productions which have a RHS all in N. */
92
ed86e78c 93 Np = bitset_create (nvars, BITSET_FIXED);
ed86e78c 94
015acc48
AD
95
96 /* The set being computed is a set of nonterminals which can derive
97 the empty string or strings consisting of all terminals. At each
98 iteration a nonterminal is added to the set if there is a
99 production with that nonterminal as its LHS for which all the
100 nonterminals in its RHS are already in the set. Iterate until
101 the set being computed remains unchanged. Any nonterminals not
102 in the set at that point are useless in that they will never be
103 used in deriving a sentence of the language.
104
105 This iteration doesn't use any special traversal over the
106 productions. A set is kept of all productions for which all the
107 nonterminals in the RHS are in useful. Only productions not in
108 this set are scanned on each iteration. At the end, this set is
109 saved to be used when finding useful productions: only
110 productions in this set will appear in the final grammar. */
572909b5 111
572909b5
RS
112 while (1)
113 {
ed86e78c 114 bitset_copy (Np, N);
18bcecb0 115 for (i = 1; i < nrules + 1; i++)
f9abaa2c
AD
116 if (!bitset_test (P, i)
117 && useful_production (i, N))
118 {
bba97eb2 119 bitset_set (Np, rules[i].lhs->number - ntokens);
f9abaa2c
AD
120 bitset_set (P, i);
121 }
ed86e78c 122 if (bitset_equal_p (N, Np))
572909b5
RS
123 break;
124 Ns = Np;
125 Np = N;
126 N = Ns;
127 }
ed86e78c 128 bitset_free (N);
572909b5
RS
129 N = Np;
130}
015acc48
AD
131
132
a083fbbf 133static void
d2729d44 134inaccessable_symbols (void)
572909b5 135{
ed86e78c 136 bitset Vp, Vs, Pp;
342b8b6e 137 int i;
572909b5 138 short t;
62a3e4f0 139 item_number_t *r;
015acc48
AD
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
ed86e78c 164 Vp = bitset_create (nsyms, BITSET_FIXED);
ed86e78c 165 Pp = bitset_create (nrules + 1, BITSET_FIXED);
572909b5
RS
166
167 /* If the start symbol isn't useful, then nothing will be useful. */
2f1afb73 168 if (bitset_test (N, axiom->number - ntokens))
572909b5 169 {
2f1afb73 170 bitset_set (V, axiom->number);
2c5f66ed
AD
171
172 while (1)
572909b5 173 {
ed86e78c 174 bitset_copy (Vp, V);
18bcecb0 175 for (i = 1; i < nrules + 1; i++)
572909b5 176 {
ed86e78c
AD
177 if (!bitset_test (Pp, i)
178 && bitset_test (P, i)
bba97eb2 179 && bitset_test (V, rules[i].lhs->number))
572909b5 180 {
99013900 181 for (r = rules[i].rhs; *r >= 0; r++)
ed86e78c
AD
182 if (ISTOKEN (t = *r) || bitset_test (N, t - ntokens))
183 bitset_set (Vp, t);
184 bitset_set (Pp, i);
572909b5 185 }
572909b5 186 }
ed86e78c 187 if (bitset_equal_p (V, Vp))
2c5f66ed
AD
188 break;
189 Vs = Vp;
190 Vp = V;
191 V = Vs;
572909b5 192 }
572909b5 193 }
572909b5 194
ed86e78c 195 bitset_free (V);
572909b5
RS
196 V = Vp;
197
198 /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */
72a23c97
AD
199 bitset_set (V, eoftoken->number); /* end-of-input token */
200 bitset_set (V, errtoken->number); /* error token */
201 bitset_set (V, undeftoken->number); /* some undefined token */
572909b5 202
ed86e78c 203 bitset_free (P);
572909b5
RS
204 P = Pp;
205
914feea9 206 nuseful_productions = bitset_count (P);
572909b5
RS
207 nuseless_productions = nrules - nuseful_productions;
208
209 nuseful_nonterminals = 0;
210 for (i = ntokens; i < nsyms; i++)
ed86e78c 211 if (bitset_test (V, i))
572909b5
RS
212 nuseful_nonterminals++;
213 nuseless_nonterminals = nvars - nuseful_nonterminals;
214
215 /* A token that was used in %prec should not be warned about. */
11652ab3 216 for (i = 1; i < nrules + 1; i++)
1a2b5d37 217 if (rules[i].precsym != 0)
03b31c0c 218 bitset_set (V1, rules[i].precsym->number);
572909b5 219}
015acc48 220
c3b407f4
AD
221
222/*-------------------------------------------------------------------.
223| Put the useless productions at the end of RULES, and adjust NRULES |
224| accordingly. |
225`-------------------------------------------------------------------*/
226
a083fbbf 227static void
d2729d44 228reduce_grammar_tables (void)
572909b5 229{
6b98e4b5 230 /* Report and flag useless productions. */
c3b407f4 231 {
6b98e4b5
AD
232 int r;
233 for (r = 1; r < nrules + 1; r++)
234 {
235 rules[r].useful = bitset_test (P, r);
236 if (!rules[r].useful)
237 {
238 LOCATION_PRINT (stderr, rules[r].location);
239 fprintf (stderr, ": %s: %s: ", _("warning"), _("useless rule"));
240 rule_print (&rules[r], stderr);
241 }
242 }
c3b407f4 243 }
572909b5 244
c3b407f4
AD
245 /* Map the nonterminals to their new index: useful first, useless
246 afterwards. Kept for later report. */
247 {
248 int useful = 1;
249 int useless = nrules + 1 - nuseless_productions;
250 rule_t *rules_sorted = XMALLOC (rule_t, nrules + 1) - 1;
251 int i;
252 for (i = 1; i < nrules + 1; ++i)
253 rules_sorted[rules[i].useful ? useful++ : useless++] = rules[i];
254 free (rules + 1);
255 rules = rules_sorted;
076ab033 256
cc9305dd
AD
257 /* Renumber the rules markers in RITEMS. */
258 for (i = 1; i < nrules + 1; ++i)
259 {
62a3e4f0 260 item_number_t *rhsp = rules[i].rhs;
cc9305dd
AD
261 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
262 /* Nothing. */;
263 *rhsp = -i;
d7e1f00c 264 rules[i].number = i;
cc9305dd 265 }
c3b407f4
AD
266 nrules -= nuseless_productions;
267 }
076ab033 268
a900a624 269 /* Adjust NRITEMS. */
c3b407f4
AD
270 {
271 int r;
272 int length;
273 for (r = nrules + 1; r < nrules + 1 + nuseless_productions; ++r)
076ab033 274 {
c3b407f4
AD
275 length = rule_rhs_length (&rules[r]);
276 nritems -= length + 1;
076ab033 277 }
c3b407f4 278 }
00238958 279}
572909b5 280
572909b5 281
00238958
AD
282/*------------------------------.
283| Remove useless nonterminals. |
284`------------------------------*/
572909b5 285
00238958
AD
286static void
287nonterminals_reduce (void)
288{
a49aecd5 289 symbol_number_t i, n;
572909b5 290
68f1e3ed
AD
291 /* Map the nonterminals to their new index: useful first, useless
292 afterwards. Kept for later report. */
572909b5 293
a49aecd5 294 symbol_number_t *nontermmap = XCALLOC (symbol_number_t, nvars) - ntokens;
00238958
AD
295 n = ntokens;
296 for (i = ntokens; i < nsyms; i++)
ed86e78c 297 if (bitset_test (V, i))
00238958 298 nontermmap[i] = n++;
760b53a8 299 for (i = ntokens; i < nsyms; i++)
ed86e78c 300 if (!bitset_test (V, i))
6b98e4b5
AD
301 {
302 nontermmap[i] = n++;
303 LOCATION_PRINT (stderr, symbols[i]->location);
304 fprintf (stderr, ": %s: %s: %s\n",
305 _("warning"), _("useless nonterminal"),
306 symbol_tag_get (symbols[i]));
307 }
572909b5 308
00238958 309
760b53a8
AD
310 /* Shuffle elements of tables indexed by symbol number. */
311 {
db8837cb 312 symbol_t **symbols_sorted = XMALLOC (symbol_t *, nvars) - ntokens;
760b53a8 313
bba97eb2
AD
314 for (i = ntokens; i < nsyms; i++)
315 symbols[i]->number = nontermmap[i];
760b53a8 316 for (i = ntokens; i < nsyms; i++)
0e78e603 317 symbols_sorted[nontermmap[i]] = symbols[i];
760b53a8 318 for (i = ntokens; i < nsyms; i++)
0e78e603
AD
319 symbols[i] = symbols_sorted[i];
320 free (symbols_sorted + ntokens);
760b53a8 321 }
572909b5 322
0c2d3f4c
AD
323 {
324 int r;
325 for (r = 1; r < nrules + 1; ++r)
326 {
327 item_number_t *rhsp;
328 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
329 if (ISVAR (*rhsp))
a49aecd5 330 *rhsp = symbol_number_as_item_number (nontermmap[*rhsp]);
0c2d3f4c 331 }
2f1afb73 332 axiom->number = nontermmap[axiom->number];
0c2d3f4c 333 }
572909b5 334
00238958
AD
335 nsyms -= nuseless_nonterminals;
336 nvars -= nuseless_nonterminals;
572909b5 337
68f1e3ed 338 free (nontermmap + ntokens);
572909b5 339}
015acc48 340
337c5bd1 341
00238958
AD
342/*------------------------------------------------------------------.
343| Output the detailed results of the reductions. For FILE.output. |
344`------------------------------------------------------------------*/
337c5bd1
AD
345
346void
347reduce_output (FILE *out)
572909b5 348{
572909b5
RS
349 if (nuseless_nonterminals > 0)
350 {
d2d1b42b
AD
351 int i;
352 fprintf (out, "%s\n\n", _("Useless nonterminals:"));
760b53a8 353 for (i = 0; i < nuseless_nonterminals; ++i)
6b98e4b5 354 fprintf (out, " %s\n", symbol_tag_get (symbols[nsyms + i]));
d2d1b42b 355 fputs ("\n\n", out);
572909b5 356 }
d2d1b42b
AD
357
358 {
359 bool b = FALSE;
360 int i;
361 for (i = 0; i < ntokens; i++)
ed86e78c 362 if (!bitset_test (V, i) && !bitset_test (V1, i))
572909b5
RS
363 {
364 if (!b)
d2d1b42b
AD
365 fprintf (out, "%s\n\n", _("Terminals which are not used:"));
366 b = TRUE;
6b98e4b5 367 fprintf (out, " %s\n", symbol_tag_get (symbols[i]));
572909b5 368 }
d2d1b42b
AD
369 if (b)
370 fputs ("\n\n", out);
371 }
572909b5
RS
372
373 if (nuseless_productions > 0)
9757c359
AD
374 grammar_rules_partial_print (out, _("Useless rules"),
375 nrules + 1,
376 nuseless_productions + nrules + 1);
572909b5
RS
377}
378\f
572909b5 379
572909b5
RS
380
381
337c5bd1
AD
382
383/*-------------------------------.
384| Report the results to STDERR. |
385`-------------------------------*/
386
a083fbbf 387static void
337c5bd1 388reduce_print (void)
572909b5 389{
89cab50d 390 if (yacc_flag && nuseless_productions)
cb487d7d
AD
391 fprintf (stderr, ngettext ("%d rule never reduced\n",
392 "%d rules never reduced\n",
393 nuseless_productions),
394 nuseless_productions);
572909b5 395
6b98e4b5 396 fprintf (stderr, "%s: %s: ", infile, _("warning"));
572909b5
RS
397
398 if (nuseless_nonterminals > 0)
cb487d7d
AD
399 fprintf (stderr, ngettext ("%d useless nonterminal",
400 "%d useless nonterminals",
401 nuseless_nonterminals),
402 nuseless_nonterminals);
403
572909b5 404 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
015acc48 405 fprintf (stderr, _(" and "));
572909b5
RS
406
407 if (nuseless_productions > 0)
cb487d7d
AD
408 fprintf (stderr, ngettext ("%d useless rule",
409 "%d useless rules",
410 nuseless_productions),
411 nuseless_productions);
015acc48
AD
412 fprintf (stderr, "\n");
413 fflush (stderr);
414}
415\f
416void
417reduce_grammar (void)
418{
419 bool reduced;
420
421 /* Allocate the global sets used to compute the reduced grammar */
422
ed86e78c 423 N = bitset_create (nvars, BITSET_FIXED);
ed86e78c 424 P = bitset_create (nrules + 1, BITSET_FIXED);
ed86e78c 425 V = bitset_create (nsyms, BITSET_FIXED);
ed86e78c 426 V1 = bitset_create (nsyms, BITSET_FIXED);
015acc48
AD
427
428 useless_nonterminals ();
429 inaccessable_symbols ();
430
431 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
337c5bd1
AD
432 if (!reduced)
433 return;
015acc48 434
337c5bd1 435 reduce_print ();
015acc48 436
2f1afb73 437 if (!bitset_test (N, axiom->number - ntokens))
015acc48 438 fatal (_("Start symbol %s does not derive any sentence"),
6b98e4b5 439 symbol_tag_get (symbols[axiom->number]));
015acc48 440
bb88b0fc
AD
441 /* First reduce the nonterminals, as they renumber themselves in the
442 whole grammar. If you change the order, nonterms would be
443 renumbered only in the reduced grammar. */
00238958
AD
444 if (nuseless_nonterminals > 0)
445 nonterminals_reduce ();
bb88b0fc
AD
446 if (nuseless_productions > 0)
447 reduce_grammar_tables ();
9bfe901c
AD
448
449 if (trace_flag)
450 {
78ab8f67 451 grammar_dump (stderr, "Reduced Grammar");
9bfe901c
AD
452
453 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
454, and %d productions.\n",
455 infile, ntokens, nvars, nrules);
456 }
337c5bd1 457}
015acc48 458
015acc48 459
337c5bd1
AD
460/*-----------------------------------------------------------.
461| Free the global sets used to compute the reduced grammar. |
462`-----------------------------------------------------------*/
463
464void
465reduce_free (void)
466{
ed86e78c
AD
467 bitset_free (N);
468 bitset_free (V);
469 bitset_free (V1);
470 bitset_free (P);
572909b5 471}