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572909b5 1/* Grammar reduction for Bison.
c4882934 2
34136e65 3 Copyright (C) 1988-1989, 2000-2003, 2005-2012 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
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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
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30
31#include <bitset.h>
17ee7397
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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
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50
51/* Set of symbols used to define rule precedence (so they are
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
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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
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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
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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
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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
JD
300 nontermmap[i - ntokens] = n++;
301 warn_at (symbols[i]->location, _("nonterminal useless in grammar: %s"),
302 symbols[i]->tag);
6b98e4b5 303 }
572909b5 304
00238958 305
760b53a8
AD
306 /* Shuffle elements of tables indexed by symbol number. */
307 {
da2a7671 308 symbol **symbols_sorted = xnmalloc (nvars, sizeof *symbols_sorted);
760b53a8 309
bba97eb2 310 for (i = ntokens; i < nsyms; i++)
c4882934 311 symbols[i]->number = nontermmap[i - ntokens];
760b53a8 312 for (i = ntokens; i < nsyms; i++)
c4882934 313 symbols_sorted[nontermmap[i - ntokens] - ntokens] = symbols[i];
760b53a8 314 for (i = ntokens; i < nsyms; i++)
c4882934
PE
315 symbols[i] = symbols_sorted[i - ntokens];
316 free (symbols_sorted);
760b53a8 317 }
572909b5 318
0c2d3f4c 319 {
17ee7397 320 rule_number r;
4b3d3a8e 321 for (r = 0; r < nrules; ++r)
0c2d3f4c 322 {
e9690142
JD
323 item_number *rhsp;
324 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
325 if (ISVAR (*rhsp))
326 *rhsp = symbol_number_as_item_number (nontermmap[*rhsp
327 - ntokens]);
0c2d3f4c 328 }
c4882934 329 accept->number = nontermmap[accept->number - ntokens];
0c2d3f4c 330 }
572909b5 331
00238958
AD
332 nsyms -= nuseless_nonterminals;
333 nvars -= nuseless_nonterminals;
572909b5 334
c4882934 335 free (nontermmap);
572909b5 336}
015acc48 337
337c5bd1 338
00238958
AD
339/*------------------------------------------------------------------.
340| Output the detailed results of the reductions. For FILE.output. |
341`------------------------------------------------------------------*/
337c5bd1
AD
342
343void
344reduce_output (FILE *out)
572909b5 345{
572909b5
RS
346 if (nuseless_nonterminals > 0)
347 {
d2d1b42b 348 int i;
cff03fb2 349 fprintf (out, "%s\n\n", _("Nonterminals useless in grammar"));
760b53a8 350 for (i = 0; i < nuseless_nonterminals; ++i)
e9690142 351 fprintf (out, " %s\n", symbols[nsyms + i]->tag);
d2d1b42b 352 fputs ("\n\n", out);
572909b5 353 }
d2d1b42b
AD
354
355 {
8307162d 356 bool b = false;
d2d1b42b
AD
357 int i;
358 for (i = 0; i < ntokens; i++)
d80fb37a 359 if (reduce_token_unused_in_grammar (i))
e9690142
JD
360 {
361 if (!b)
362 fprintf (out, "%s\n\n", _("Terminals unused in grammar"));
363 b = true;
364 fprintf (out, " %s\n", symbols[i]->tag);
365 }
d2d1b42b
AD
366 if (b)
367 fputs ("\n\n", out);
368 }
572909b5
RS
369
370 if (nuseless_productions > 0)
cff03fb2 371 grammar_rules_partial_print (out, _("Rules useless in grammar"),
e9690142 372 rule_useless_in_grammar_p);
572909b5
RS
373}
374\f
572909b5 375
337c5bd1
AD
376/*-------------------------------.
377| Report the results to STDERR. |
378`-------------------------------*/
379
a083fbbf 380static void
337c5bd1 381reduce_print (void)
572909b5 382{
572909b5 383 if (nuseless_nonterminals > 0)
2bfcac9a
JD
384 warn (ngettext ("%d nonterminal useless in grammar",
385 "%d nonterminals useless in grammar",
386 nuseless_nonterminals),
387 nuseless_nonterminals);
572909b5 388 if (nuseless_productions > 0)
2bfcac9a
JD
389 warn (ngettext ("%d rule useless in grammar",
390 "%d rules useless in grammar",
391 nuseless_productions),
392 nuseless_productions);
015acc48
AD
393}
394\f
395void
396reduce_grammar (void)
397{
398 bool reduced;
399
400 /* Allocate the global sets used to compute the reduced grammar */
401
ed86e78c 402 N = bitset_create (nvars, BITSET_FIXED);
4b3d3a8e 403 P = bitset_create (nrules, BITSET_FIXED);
ed86e78c 404 V = bitset_create (nsyms, BITSET_FIXED);
ed86e78c 405 V1 = bitset_create (nsyms, BITSET_FIXED);
015acc48
AD
406
407 useless_nonterminals ();
408 inaccessable_symbols ();
409
4d56beff 410 reduced = (nuseless_nonterminals + nuseless_productions > 0);
337c5bd1
AD
411 if (!reduced)
412 return;
015acc48 413
337c5bd1 414 reduce_print ();
015acc48 415
88bce5a2 416 if (!bitset_test (N, accept->number - ntokens))
1bfb97db 417 fatal_at (startsymbol_location,
e9690142
JD
418 _("start symbol %s does not derive any sentence"),
419 startsymbol->tag);
015acc48 420
bb88b0fc
AD
421 /* First reduce the nonterminals, as they renumber themselves in the
422 whole grammar. If you change the order, nonterms would be
423 renumbered only in the reduced grammar. */
00238958
AD
424 if (nuseless_nonterminals > 0)
425 nonterminals_reduce ();
bb88b0fc
AD
426 if (nuseless_productions > 0)
427 reduce_grammar_tables ();
9bfe901c 428
273a74fa 429 if (trace_flag & trace_grammar)
9bfe901c 430 {
78ab8f67 431 grammar_dump (stderr, "Reduced Grammar");
9bfe901c
AD
432
433 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
434, and %d productions.\n",
e9690142 435 grammar_file, ntokens, nvars, nrules);
9bfe901c 436 }
337c5bd1 437}
015acc48 438
d80fb37a
JD
439bool
440reduce_token_unused_in_grammar (symbol_number i)
441{
442 aver (i < ntokens);
443 return !bitset_test (V, i) && !bitset_test (V1, i);
444}
445
446bool
447reduce_nonterminal_useless_in_grammar (symbol_number i)
448{
449 aver (ntokens <= i && i < nsyms + nuseless_nonterminals);
450 return nsyms <= i;
451}
015acc48 452
337c5bd1
AD
453/*-----------------------------------------------------------.
454| Free the global sets used to compute the reduced grammar. |
455`-----------------------------------------------------------*/
456
457void
458reduce_free (void)
459{
ed86e78c
AD
460 bitset_free (N);
461 bitset_free (V);
462 bitset_free (V1);
463 bitset_free (P);
572909b5 464}