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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
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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
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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
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166
167 /* If the start symbol isn't useful, then nothing will be useful. */
ed86e78c 168 if (bitset_test (N, start_symbol - ntokens))
572909b5 169 {
ed86e78c 170 bitset_set (V, start_symbol);
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
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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;
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{
c3b407f4
AD
230 /* Flag useless productions. */
231 {
232 int pn;
233 for (pn = 1; pn < nrules + 1; pn++)
234 rules[pn].useful = bitset_test (P, pn);
235 }
572909b5 236
c3b407f4
AD
237 /* Map the nonterminals to their new index: useful first, useless
238 afterwards. Kept for later report. */
239 {
240 int useful = 1;
241 int useless = nrules + 1 - nuseless_productions;
242 rule_t *rules_sorted = XMALLOC (rule_t, nrules + 1) - 1;
243 int i;
244 for (i = 1; i < nrules + 1; ++i)
245 rules_sorted[rules[i].useful ? useful++ : useless++] = rules[i];
246 free (rules + 1);
247 rules = rules_sorted;
076ab033 248
cc9305dd
AD
249 /* Renumber the rules markers in RITEMS. */
250 for (i = 1; i < nrules + 1; ++i)
251 {
62a3e4f0 252 item_number_t *rhsp = rules[i].rhs;
cc9305dd
AD
253 for (/* Nothing. */; *rhsp >= 0; ++rhsp)
254 /* Nothing. */;
255 *rhsp = -i;
d7e1f00c 256 rules[i].number = i;
cc9305dd 257 }
c3b407f4
AD
258 nrules -= nuseless_productions;
259 }
076ab033 260
a900a624 261 /* Adjust NRITEMS. */
c3b407f4
AD
262 {
263 int r;
264 int length;
265 for (r = nrules + 1; r < nrules + 1 + nuseless_productions; ++r)
076ab033 266 {
c3b407f4
AD
267 length = rule_rhs_length (&rules[r]);
268 nritems -= length + 1;
076ab033 269 }
c3b407f4 270 }
00238958 271}
572909b5 272
572909b5 273
00238958
AD
274/*------------------------------.
275| Remove useless nonterminals. |
276`------------------------------*/
572909b5 277
00238958
AD
278static void
279nonterminals_reduce (void)
280{
5fbb0954 281 token_number_t i, n;
572909b5 282
68f1e3ed
AD
283 /* Map the nonterminals to their new index: useful first, useless
284 afterwards. Kept for later report. */
572909b5 285
5fbb0954 286 token_number_t *nontermmap = XCALLOC (token_number_t, nvars) - ntokens;
00238958
AD
287 n = ntokens;
288 for (i = ntokens; i < nsyms; i++)
ed86e78c 289 if (bitset_test (V, i))
00238958 290 nontermmap[i] = n++;
760b53a8 291 for (i = ntokens; i < nsyms; i++)
ed86e78c 292 if (!bitset_test (V, i))
760b53a8 293 nontermmap[i] = n++;
572909b5 294
00238958 295
760b53a8
AD
296 /* Shuffle elements of tables indexed by symbol number. */
297 {
db8837cb 298 symbol_t **symbols_sorted = XMALLOC (symbol_t *, nvars) - ntokens;
760b53a8 299
bba97eb2
AD
300 for (i = ntokens; i < nsyms; i++)
301 symbols[i]->number = nontermmap[i];
760b53a8 302 for (i = ntokens; i < nsyms; i++)
0e78e603 303 symbols_sorted[nontermmap[i]] = symbols[i];
760b53a8 304 for (i = ntokens; i < nsyms; i++)
0e78e603
AD
305 symbols[i] = symbols_sorted[i];
306 free (symbols_sorted + ntokens);
760b53a8 307 }
572909b5 308
0c2d3f4c
AD
309 {
310 int r;
311 for (r = 1; r < nrules + 1; ++r)
312 {
313 item_number_t *rhsp;
314 for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp)
315 if (ISVAR (*rhsp))
316 *rhsp = token_number_as_item_number (nontermmap[*rhsp]);
317 }
318 start_symbol = nontermmap[start_symbol];
319 }
572909b5 320
00238958
AD
321 nsyms -= nuseless_nonterminals;
322 nvars -= nuseless_nonterminals;
572909b5 323
68f1e3ed 324 free (nontermmap + ntokens);
572909b5 325}
015acc48 326
337c5bd1 327
00238958
AD
328/*------------------------------------------------------------------.
329| Output the detailed results of the reductions. For FILE.output. |
330`------------------------------------------------------------------*/
337c5bd1
AD
331
332void
333reduce_output (FILE *out)
572909b5 334{
572909b5
RS
335 if (nuseless_nonterminals > 0)
336 {
d2d1b42b
AD
337 int i;
338 fprintf (out, "%s\n\n", _("Useless nonterminals:"));
760b53a8 339 for (i = 0; i < nuseless_nonterminals; ++i)
8b3df748
AD
340 fprintf (out, " %s\n", quotearg_style (escape_quoting_style,
341 symbols[nsyms + i]->tag));
d2d1b42b 342 fputs ("\n\n", out);
572909b5 343 }
d2d1b42b
AD
344
345 {
346 bool b = FALSE;
347 int i;
348 for (i = 0; i < ntokens; i++)
ed86e78c 349 if (!bitset_test (V, i) && !bitset_test (V1, i))
572909b5
RS
350 {
351 if (!b)
d2d1b42b
AD
352 fprintf (out, "%s\n\n", _("Terminals which are not used:"));
353 b = TRUE;
8b3df748
AD
354 fprintf (out, " %s\n", quotearg_style (escape_quoting_style,
355 symbols[i]->tag));
572909b5 356 }
d2d1b42b
AD
357 if (b)
358 fputs ("\n\n", out);
359 }
572909b5
RS
360
361 if (nuseless_productions > 0)
362 {
d2d1b42b
AD
363 int i;
364 fprintf (out, "%s\n\n", _("Useless rules:"));
c3b407f4
AD
365 for (i = nrules + 1; i < nuseless_productions + nrules + 1; i++)
366 {
62a3e4f0 367 item_number_t *r;
d7e1f00c 368 fprintf (out, "#%-4d ", rules[i].user_number - 1);
8b3df748
AD
369 fprintf (out, "%s:", quotearg_style (escape_quoting_style,
370 rules[i].lhs->tag));
c3b407f4 371 for (r = rules[i].rhs; *r >= 0; r++)
8b3df748
AD
372 fprintf (out, " %s", quotearg_style (escape_quoting_style,
373 symbols[*r]->tag));
c3b407f4
AD
374 fputs (";\n", out);
375 }
d2d1b42b 376 fputs ("\n\n", out);
572909b5 377 }
572909b5
RS
378}
379\f
572909b5 380
572909b5
RS
381
382
337c5bd1
AD
383
384/*-------------------------------.
385| Report the results to STDERR. |
386`-------------------------------*/
387
a083fbbf 388static void
337c5bd1 389reduce_print (void)
572909b5 390{
89cab50d 391 if (yacc_flag && nuseless_productions)
cb487d7d
AD
392 fprintf (stderr, ngettext ("%d rule never reduced\n",
393 "%d rules never reduced\n",
394 nuseless_productions),
395 nuseless_productions);
572909b5 396
015acc48 397 fprintf (stderr, _("%s contains "), infile);
572909b5
RS
398
399 if (nuseless_nonterminals > 0)
cb487d7d
AD
400 fprintf (stderr, ngettext ("%d useless nonterminal",
401 "%d useless nonterminals",
402 nuseless_nonterminals),
403 nuseless_nonterminals);
404
572909b5 405 if (nuseless_nonterminals > 0 && nuseless_productions > 0)
015acc48 406 fprintf (stderr, _(" and "));
572909b5
RS
407
408 if (nuseless_productions > 0)
cb487d7d
AD
409 fprintf (stderr, ngettext ("%d useless rule",
410 "%d useless rules",
411 nuseless_productions),
412 nuseless_productions);
015acc48
AD
413 fprintf (stderr, "\n");
414 fflush (stderr);
415}
416\f
417void
418reduce_grammar (void)
419{
420 bool reduced;
421
422 /* Allocate the global sets used to compute the reduced grammar */
423
ed86e78c 424 N = bitset_create (nvars, BITSET_FIXED);
ed86e78c 425 P = bitset_create (nrules + 1, BITSET_FIXED);
ed86e78c 426 V = bitset_create (nsyms, BITSET_FIXED);
ed86e78c 427 V1 = bitset_create (nsyms, BITSET_FIXED);
015acc48
AD
428
429 useless_nonterminals ();
430 inaccessable_symbols ();
431
432 reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0);
337c5bd1
AD
433 if (!reduced)
434 return;
015acc48 435
337c5bd1 436 reduce_print ();
015acc48 437
ed86e78c 438 if (!bitset_test (N, start_symbol - ntokens))
015acc48 439 fatal (_("Start symbol %s does not derive any sentence"),
8b3df748 440 quotearg_style (escape_quoting_style, symbols[start_symbol]->tag));
015acc48 441
bb88b0fc
AD
442 /* First reduce the nonterminals, as they renumber themselves in the
443 whole grammar. If you change the order, nonterms would be
444 renumbered only in the reduced grammar. */
00238958
AD
445 if (nuseless_nonterminals > 0)
446 nonterminals_reduce ();
bb88b0fc
AD
447 if (nuseless_productions > 0)
448 reduce_grammar_tables ();
9bfe901c
AD
449
450 if (trace_flag)
451 {
78ab8f67 452 grammar_dump (stderr, "Reduced Grammar");
9bfe901c
AD
453
454 fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\
455, and %d productions.\n",
456 infile, ntokens, nvars, nrules);
457 }
337c5bd1 458}
015acc48 459
015acc48 460
337c5bd1
AD
461/*-----------------------------------------------------------.
462| Free the global sets used to compute the reduced grammar. |
463`-----------------------------------------------------------*/
464
465void
466reduce_free (void)
467{
ed86e78c
AD
468 bitset_free (N);
469 bitset_free (V);
470 bitset_free (V1);
471 bitset_free (P);
572909b5 472}