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572909b5 1/* Grammar reduction for Bison.
c4882934 2
fc51acdd 3 Copyright (C) 1988-1989, 2000-2003, 2005-2014 Free Software
575619af 4 Foundation, Inc.
572909b5 5
015acc48 6 This file is part of Bison, the GNU Compiler Compiler.
572909b5 7
f16b0819 8 This program is free software: you can redistribute it and/or modify
015acc48 9 it under the terms of the GNU General Public License as published by
f16b0819
PE
10 the Free Software Foundation, either version 3 of the License, or
11 (at your option) any later version.
572909b5 12
f16b0819 13 This program is distributed in the hope that it will be useful,
015acc48
AD
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.
572909b5 17
015acc48 18 You should have received a copy of the GNU General Public License
f16b0819 19 along with this program. If not, see <http://www.gnu.org/licenses/>. */
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
2cec9080 28#include <config.h>
572909b5 29#include "system.h"
17ee7397
PE
30
31#include <bitset.h>
17ee7397
PE
32
33#include "complain.h"
572909b5 34#include "files.h"
17ee7397 35#include "getargs.h"
572909b5 36#include "gram.h"
41d7a5f2 37#include "print-xml.h"
b2ca4022 38#include "reader.h"
17ee7397
PE
39#include "reduce.h"
40#include "symtab.h"
572909b5 41
00238958 42/* Set of all nonterminals which are not useless. */
ed86e78c 43static bitset N;
572909b5 44
00238958 45/* Set of all rules which have no useless nonterminals in their RHS. */
ed86e78c 46static bitset P;
00238958
AD
47
48/* Set of all accessible symbols. */
ed86e78c 49static bitset V;
00238958
AD
50
51/* Set of symbols used to define rule precedence (so they are
45eebca4 52 'useless', but no warning should be issued). */
ed86e78c 53static bitset V1;
572909b5 54
17ee7397
PE
55static rule_number nuseful_productions;
56rule_number nuseless_productions;
015acc48 57static int nuseful_nonterminals;
17ee7397 58symbol_number nuseless_nonterminals;
572909b5 59\f
015acc48
AD
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`-------------------------------------------------------------------*/
572909b5 65
a083fbbf 66static bool
17ee7397 67useful_production (rule_number r, bitset N0)
572909b5 68{
17ee7397 69 item_number *rhsp;
572909b5 70
015acc48
AD
71 /* A production is useful if all of the nonterminals in its appear
72 in the set of useful nonterminals. */
572909b5 73
9222837b
AD
74 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
75 if (ISVAR (*rhsp) && !bitset_test (N0, *rhsp - ntokens))
8307162d
PE
76 return false;
77 return true;
572909b5
RS
78}
79
80
015acc48
AD
81/*---------------------------------------------------------.
82| Remember that rules are 1-origin, symbols are 0-origin. |
83`---------------------------------------------------------*/
572909b5 84
a083fbbf 85static void
d2729d44 86useless_nonterminals (void)
572909b5 87{
ed86e78c 88 bitset Np, Ns;
17ee7397 89 rule_number r;
015acc48
AD
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
ed86e78c 94 Np = bitset_create (nvars, BITSET_FIXED);
ed86e78c 95
015acc48
AD
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. */
572909b5 112
572909b5
RS
113 while (1)
114 {
ed86e78c 115 bitset_copy (Np, N);
4b3d3a8e 116 for (r = 0; r < nrules; r++)
e9690142
JD
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 }
ed86e78c 123 if (bitset_equal_p (N, Np))
e9690142 124 break;
572909b5
RS
125 Ns = Np;
126 Np = N;
127 N = Ns;
128 }
ed86e78c 129 bitset_free (N);
572909b5
RS
130 N = Np;
131}
015acc48
AD
132
133
a083fbbf 134static void
d2729d44 135inaccessable_symbols (void)
572909b5 136{
ed86e78c 137 bitset Vp, Vs, Pp;
015acc48
AD
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
ed86e78c 162 Vp = bitset_create (nsyms, BITSET_FIXED);
4b3d3a8e 163 Pp = bitset_create (nrules, BITSET_FIXED);
572909b5
RS
164
165 /* If the start symbol isn't useful, then nothing will be useful. */
88bce5a2 166 if (bitset_test (N, accept->number - ntokens))
572909b5 167 {
88bce5a2 168 bitset_set (V, accept->number);
2c5f66ed
AD
169
170 while (1)
e9690142
JD
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 }
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. */
e9690142
JD
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 */
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;
9222837b 210 {
17ee7397 211 symbol_number i;
9222837b
AD
212 for (i = ntokens; i < nsyms; i++)
213 if (bitset_test (V, i))
e9690142 214 nuseful_nonterminals++;
9222837b 215 }
572909b5
RS
216 nuseless_nonterminals = nvars - nuseful_nonterminals;
217
218 /* A token that was used in %prec should not be warned about. */
9222837b 219 {
17ee7397 220 rule_number r;
4b3d3a8e
AD
221 for (r = 0; r < nrules; ++r)
222 if (rules[r].precsym != 0)
e9690142 223 bitset_set (V1, rules[r].precsym->number);
9222837b 224 }
572909b5 225}
015acc48 226
c3b407f4
AD
227
228/*-------------------------------------------------------------------.
229| Put the useless productions at the end of RULES, and adjust NRULES |
230| accordingly. |
231`-------------------------------------------------------------------*/
232
a083fbbf 233static void
d2729d44 234reduce_grammar_tables (void)
572909b5 235{
6b98e4b5 236 /* Report and flag useless productions. */
c3b407f4 237 {
17ee7397 238 rule_number r;
4b3d3a8e 239 for (r = 0; r < nrules; r++)
c8f002c7 240 rules[r].useful = bitset_test (P, r);
cff03fb2 241 grammar_rules_useless_report (_("rule useless in grammar"));
c3b407f4 242 }
572909b5 243
c3b407f4
AD
244 /* Map the nonterminals to their new index: useful first, useless
245 afterwards. Kept for later report. */
246 {
4b3d3a8e
AD
247 int useful = 0;
248 int useless = nrules - nuseless_productions;
da2a7671 249 rule *rules_sorted = xnmalloc (nrules, sizeof *rules_sorted);
17ee7397 250 rule_number r;
4b3d3a8e 251 for (r = 0; r < nrules; ++r)
9222837b 252 rules_sorted[rules[r].useful ? useful++ : useless++] = rules[r];
4b3d3a8e 253 free (rules);
c3b407f4 254 rules = rules_sorted;
076ab033 255
cc9305dd 256 /* Renumber the rules markers in RITEMS. */
4b3d3a8e 257 for (r = 0; r < nrules; ++r)
cc9305dd 258 {
e9690142
JD
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;
cc9305dd 264 }
c3b407f4
AD
265 nrules -= nuseless_productions;
266 }
076ab033 267
a900a624 268 /* Adjust NRITEMS. */
c3b407f4 269 {
a737b216 270 rule_number r;
c3b407f4 271 int length;
4b3d3a8e 272 for (r = nrules; r < nrules + nuseless_productions; ++r)
076ab033 273 {
e9690142
JD
274 length = rule_rhs_length (&rules[r]);
275 nritems -= length + 1;
076ab033 276 }
c3b407f4 277 }
00238958 278}
572909b5 279
572909b5 280
00238958
AD
281/*------------------------------.
282| Remove useless nonterminals. |
283`------------------------------*/
572909b5 284
00238958
AD
285static void
286nonterminals_reduce (void)
287{
68f1e3ed
AD
288 /* Map the nonterminals to their new index: useful first, useless
289 afterwards. Kept for later report. */
572909b5 290
da2a7671 291 symbol_number *nontermmap = xnmalloc (nvars, sizeof *nontermmap);
e97965c0
AD
292 symbol_number n = ntokens;
293 symbol_number i;
00238958 294 for (i = ntokens; i < nsyms; i++)
ed86e78c 295 if (bitset_test (V, i))
c4882934 296 nontermmap[i - ntokens] = n++;
760b53a8 297 for (i = ntokens; i < nsyms; i++)
ed86e78c 298 if (!bitset_test (V, i))
6b98e4b5 299 {
e9690142 300 nontermmap[i - ntokens] = n++;
3b0b682f 301 if (symbols[i]->status != used)
bb8e56ff
TR
302 complain (&symbols[i]->location, Wother,
303 _("nonterminal useless in grammar: %s"),
304 symbols[i]->tag);
6b98e4b5 305 }
572909b5 306
00238958 307
760b53a8
AD
308 /* Shuffle elements of tables indexed by symbol number. */
309 {
da2a7671 310 symbol **symbols_sorted = xnmalloc (nvars, sizeof *symbols_sorted);
760b53a8 311
bba97eb2 312 for (i = ntokens; i < nsyms; i++)
c4882934 313 symbols[i]->number = nontermmap[i - ntokens];
760b53a8 314 for (i = ntokens; i < nsyms; i++)
c4882934 315 symbols_sorted[nontermmap[i - ntokens] - ntokens] = symbols[i];
760b53a8 316 for (i = ntokens; i < nsyms; i++)
c4882934
PE
317 symbols[i] = symbols_sorted[i - ntokens];
318 free (symbols_sorted);
760b53a8 319 }
572909b5 320
0c2d3f4c 321 {
17ee7397 322 rule_number r;
4b3d3a8e 323 for (r = 0; r < nrules; ++r)
0c2d3f4c 324 {
e9690142
JD
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]);
0c2d3f4c 330 }
c4882934 331 accept->number = nontermmap[accept->number - ntokens];
0c2d3f4c 332 }
572909b5 333
00238958
AD
334 nsyms -= nuseless_nonterminals;
335 nvars -= nuseless_nonterminals;
572909b5 336
c4882934 337 free (nontermmap);
572909b5 338}
015acc48 339
337c5bd1 340
00238958
AD
341/*------------------------------------------------------------------.
342| Output the detailed results of the reductions. For FILE.output. |
343`------------------------------------------------------------------*/
337c5bd1
AD
344
345void
346reduce_output (FILE *out)
572909b5 347{
572909b5
RS
348 if (nuseless_nonterminals > 0)
349 {
d2d1b42b 350 int i;
cff03fb2 351 fprintf (out, "%s\n\n", _("Nonterminals useless in grammar"));
760b53a8 352 for (i = 0; i < nuseless_nonterminals; ++i)
e9690142 353 fprintf (out, " %s\n", symbols[nsyms + i]->tag);
d2d1b42b 354 fputs ("\n\n", out);
572909b5 355 }
d2d1b42b
AD
356
357 {
8307162d 358 bool b = false;
d2d1b42b
AD
359 int i;
360 for (i = 0; i < ntokens; i++)
d80fb37a 361 if (reduce_token_unused_in_grammar (i))
e9690142
JD
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 }
d2d1b42b
AD
368 if (b)
369 fputs ("\n\n", out);
370 }
572909b5
RS
371
372 if (nuseless_productions > 0)
cff03fb2 373 grammar_rules_partial_print (out, _("Rules useless in grammar"),
e9690142 374 rule_useless_in_grammar_p);
572909b5
RS
375}
376\f
572909b5 377
337c5bd1
AD
378/*-------------------------------.
379| Report the results to STDERR. |
380`-------------------------------*/
381
a083fbbf 382static void
337c5bd1 383reduce_print (void)
572909b5 384{
572909b5 385 if (nuseless_nonterminals > 0)
bb8e56ff
TR
386 complain (NULL, Wother, ngettext ("%d nonterminal useless in grammar",
387 "%d nonterminals useless in grammar",
388 nuseless_nonterminals),
6fb8b256 389 nuseless_nonterminals);
572909b5 390 if (nuseless_productions > 0)
bb8e56ff
TR
391 complain (NULL, Wother, ngettext ("%d rule useless in grammar",
392 "%d rules useless in grammar",
393 nuseless_productions),
6fb8b256 394 nuseless_productions);
015acc48
AD
395}
396\f
397void
398reduce_grammar (void)
399{
400 bool reduced;
401
402 /* Allocate the global sets used to compute the reduced grammar */
403
ed86e78c 404 N = bitset_create (nvars, BITSET_FIXED);
4b3d3a8e 405 P = bitset_create (nrules, BITSET_FIXED);
ed86e78c 406 V = bitset_create (nsyms, BITSET_FIXED);
ed86e78c 407 V1 = bitset_create (nsyms, BITSET_FIXED);
015acc48
AD
408
409 useless_nonterminals ();
410 inaccessable_symbols ();
411
4d56beff 412 reduced = (nuseless_nonterminals + nuseless_productions > 0);
337c5bd1
AD
413 if (!reduced)
414 return;
015acc48 415
337c5bd1 416 reduce_print ();
015acc48 417
88bce5a2 418 if (!bitset_test (N, accept->number - ntokens))
bb8e56ff
TR
419 complain (&startsymbol_location, fatal,
420 _("start symbol %s does not derive any sentence"),
421 startsymbol->tag);
015acc48 422
bb88b0fc
AD
423 /* First reduce the nonterminals, as they renumber themselves in the
424 whole grammar. If you change the order, nonterms would be
425 renumbered only in the reduced grammar. */
00238958
AD
426 if (nuseless_nonterminals > 0)
427 nonterminals_reduce ();
bb88b0fc
AD
428 if (nuseless_productions > 0)
429 reduce_grammar_tables ();
9bfe901c 430
273a74fa 431 if (trace_flag & trace_grammar)
9bfe901c 432 {
78ab8f67 433 grammar_dump (stderr, "Reduced Grammar");
9bfe901c 434
5ff5cf67
VS
435 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals"
436 ", and %d productions.\n",
e9690142 437 grammar_file, ntokens, nvars, nrules);
9bfe901c 438 }
337c5bd1 439}
015acc48 440
d80fb37a
JD
441bool
442reduce_token_unused_in_grammar (symbol_number i)
443{
444 aver (i < ntokens);
445 return !bitset_test (V, i) && !bitset_test (V1, i);
446}
447
448bool
449reduce_nonterminal_useless_in_grammar (symbol_number i)
450{
451 aver (ntokens <= i && i < nsyms + nuseless_nonterminals);
452 return nsyms <= i;
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}