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5362cd5f
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1/* Compute look-ahead criteria for Bison.
2
e9ad4aec
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3 Copyright (C) 1984, 1986, 1989, 2000, 2001, 2002, 2003, 2004, 2005,
4 2006 Free Software Foundation, Inc.
d0fb370f 5
340ef489 6 This file is part of Bison, the GNU Compiler Compiler.
d0fb370f 7
340ef489
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8 Bison is free software; you can redistribute it and/or modify
9 it under the terms of the GNU General Public License as published by
10 the Free Software Foundation; either version 2, or (at your option)
11 any later version.
d0fb370f 12
340ef489
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13 Bison is distributed in the hope that it will be useful,
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.
d0fb370f 17
340ef489
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18 You should have received a copy of the GNU General Public License
19 along with Bison; see the file COPYING. If not, write to
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20 the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
21 Boston, MA 02110-1301, USA. */
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22
23
720d742f 24/* Compute how to make the finite state machine deterministic; find
8dd162d3 25 which rules need look-ahead in each state, and which look-ahead
340ef489 26 tokens they accept. */
d0fb370f 27
2cec9080 28#include <config.h>
d0fb370f 29#include "system.h"
5dde5425
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30
31#include <bitset.h>
32#include <bitsetv.h>
33#include <quotearg.h>
34
b2ca4022 35#include "LR0.h"
a0f6b076 36#include "complain.h"
340ef489 37#include "derives.h"
f67d13aa 38#include "getargs.h"
5dde5425
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39#include "gram.h"
40#include "lalr.h"
41#include "nullable.h"
42#include "reader.h"
43#include "relation.h"
44#include "symtab.h"
d0fb370f 45
4cf44c00
PE
46goto_number *goto_map;
47static goto_number ngotos;
48state_number *from_state;
49state_number *to_state;
e68e0410
AD
50
51/* Linked list of goto numbers. */
5dde5425 52typedef struct goto_list
e68e0410 53{
5dde5425
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54 struct goto_list *next;
55 goto_number value;
56} goto_list;
e68e0410
AD
57
58
3325ddc4
AD
59/* LA is a LR by NTOKENS matrix of bits. LA[l, i] is 1 if the rule
60 LArule[l] is applicable in the appropriate state when the next
61 token is symbol i. If LA[l, i] and LA[l, j] are both 1 for i != j,
62 it is a conflict. */
63
64static bitsetv LA = NULL;
d200e455 65size_t nLA;
9703cc49 66
d0fb370f 67
fe961097 68/* And for the famous F variable, which name is so descriptive that a
ddcd5fdf 69 comment is hardly needed. <grin>. */
914feea9 70static bitsetv F = NULL;
ddcd5fdf 71
5dde5425
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72static goto_number **includes;
73static goto_list **lookback;
aa2aab3c
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74
75
720d742f 76
bb527fc2 77
4a120d45 78static void
d2729d44 79set_goto_map (void)
d0fb370f 80{
5dde5425
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81 state_number s;
82 goto_number *temp_map;
d0fb370f 83
da2a7671
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84 goto_map = xcalloc (nvars + 1, sizeof *goto_map);
85 temp_map = xnmalloc (nvars + 1, sizeof *temp_map);
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86
87 ngotos = 0;
5dde5425 88 for (s = 0; s < nstates; ++s)
7215de24 89 {
5dde5425 90 transitions *sp = states[s]->transitions;
d57650a5 91 int i;
ccaf65bc 92 for (i = sp->num - 1; i >= 0 && TRANSITION_IS_GOTO (sp, i); --i)
7215de24 93 {
7215de24 94 ngotos++;
60e3ecc7
PE
95
96 /* Abort if (ngotos + 1) would overflow. */
68cae94e 97 assert (ngotos != GOTO_NUMBER_MAXIMUM);
60e3ecc7 98
5362cd5f 99 goto_map[TRANSITION_SYMBOL (sp, i) - ntokens]++;
7215de24
AD
100 }
101 }
d0fb370f 102
d0b0fefa 103 {
60e3ecc7 104 goto_number k = 0;
d57650a5 105 int i;
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AD
106 for (i = ntokens; i < nsyms; i++)
107 {
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108 temp_map[i - ntokens] = k;
109 k += goto_map[i - ntokens];
d0b0fefa 110 }
d0fb370f 111
d0b0fefa 112 for (i = ntokens; i < nsyms; i++)
5362cd5f 113 goto_map[i - ntokens] = temp_map[i - ntokens];
d0fb370f 114
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115 goto_map[nsyms - ntokens] = ngotos;
116 temp_map[nsyms - ntokens] = ngotos;
d0b0fefa 117 }
d0fb370f 118
da2a7671
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119 from_state = xcalloc (ngotos, sizeof *from_state);
120 to_state = xcalloc (ngotos, sizeof *to_state);
d0fb370f 121
5dde5425 122 for (s = 0; s < nstates; ++s)
d0fb370f 123 {
5dde5425 124 transitions *sp = states[s]->transitions;
d57650a5 125 int i;
ccaf65bc 126 for (i = sp->num - 1; i >= 0 && TRANSITION_IS_GOTO (sp, i); --i)
d0fb370f 127 {
60e3ecc7 128 goto_number k = temp_map[TRANSITION_SYMBOL (sp, i) - ntokens]++;
5dde5425 129 from_state[k] = s;
640748ee 130 to_state[k] = sp->states[i]->number;
d0fb370f
RS
131 }
132 }
133
afbb696d 134 free (temp_map);
d0fb370f
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135}
136
137
138
43591cec
AD
139/*----------------------------------------------------------.
140| Map a state/symbol pair into its numeric representation. |
141`----------------------------------------------------------*/
d0fb370f 142
60e3ecc7 143static goto_number
5dde5425 144map_goto (state_number s0, symbol_number sym)
d0fb370f 145{
60e3ecc7
PE
146 goto_number high;
147 goto_number low;
148 goto_number middle;
5dde5425 149 state_number s;
d0fb370f 150
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151 low = goto_map[sym - ntokens];
152 high = goto_map[sym - ntokens + 1] - 1;
d0fb370f 153
58a84254 154 for (;;)
d0fb370f 155 {
68cae94e 156 assert (low <= high);
d0fb370f
RS
157 middle = (low + high) / 2;
158 s = from_state[middle];
5dde5425 159 if (s == s0)
36281465 160 return middle;
5dde5425 161 else if (s < s0)
d0fb370f
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162 low = middle + 1;
163 else
164 high = middle - 1;
165 }
d0fb370f
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166}
167
168
4a120d45 169static void
d2729d44 170initialize_F (void)
d0fb370f 171{
da2a7671
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172 goto_number **reads = xnmalloc (ngotos, sizeof *reads);
173 goto_number *edge = xnmalloc (ngotos + 1, sizeof *edge);
60e3ecc7 174 goto_number nedges = 0;
d0fb370f 175
60e3ecc7 176 goto_number i;
d0fb370f 177
914feea9 178 F = bitsetv_create (ngotos, ntokens, BITSET_FIXED);
d0fb370f 179
d0fb370f
RS
180 for (i = 0; i < ngotos; i++)
181 {
5dde5425
PE
182 state_number stateno = to_state[i];
183 transitions *sp = states[stateno]->transitions;
d0fb370f 184
d954473d 185 int j;
640748ee 186 FOR_EACH_SHIFT (sp, j)
ccaf65bc 187 bitset_set (F[i], TRANSITION_SYMBOL (sp, j));
d0fb370f 188
ccaf65bc 189 for (; j < sp->num; j++)
d954473d 190 {
5dde5425 191 symbol_number sym = TRANSITION_SYMBOL (sp, j);
5362cd5f 192 if (nullable[sym - ntokens])
5dde5425 193 edge[nedges++] = map_goto (stateno, sym);
d954473d 194 }
a0f6b076 195
da2a7671
PE
196 if (nedges == 0)
197 reads[i] = NULL;
198 else
d954473d 199 {
da2a7671
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200 reads[i] = xnmalloc (nedges + 1, sizeof reads[i][0]);
201 memcpy (reads[i], edge, nedges * sizeof edge[0]);
60e3ecc7 202 reads[i][nedges] = END_NODE;
d954473d 203 nedges = 0;
d0fb370f 204 }
d0fb370f
RS
205 }
206
0e4d5753 207 relation_digraph (reads, ngotos, &F);
d0fb370f
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208
209 for (i = 0; i < ngotos; i++)
afbb696d 210 free (reads[i]);
d0fb370f 211
afbb696d
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212 free (reads);
213 free (edge);
d0fb370f
RS
214}
215
216
4a120d45 217static void
60e3ecc7 218add_lookback_edge (state *s, rule *r, goto_number gotono)
d0fb370f 219{
5dde5425 220 int ri = state_reduction_find (s, r);
da2a7671 221 goto_list *sp = xmalloc (sizeof *sp);
8dd162d3 222 sp->next = lookback[(s->reductions->look_ahead_tokens - LA) + ri];
d0fb370f 223 sp->value = gotono;
8dd162d3 224 lookback[(s->reductions->look_ahead_tokens - LA) + ri] = sp;
d0fb370f
RS
225}
226
227
d0fb370f 228
4a120d45 229static void
720d742f 230build_relations (void)
d0fb370f 231{
da2a7671
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232 goto_number *edge = xnmalloc (ngotos + 1, sizeof *edge);
233 state_number *states1 = xnmalloc (ritem_longest_rhs () + 1, sizeof *states1);
60e3ecc7 234 goto_number i;
720d742f 235
da2a7671 236 includes = xnmalloc (ngotos, sizeof *includes);
d0fb370f
RS
237
238 for (i = 0; i < ngotos; i++)
239 {
9887c18a 240 int nedges = 0;
5dde5425
PE
241 symbol_number symbol1 = states[to_state[i]]->accessing_symbol;
242 rule **rulep;
d0fb370f 243
5362cd5f 244 for (rulep = derives[symbol1 - ntokens]; *rulep; rulep++)
720d742f 245 {
d0829076 246 bool done;
80a69750 247 int length = 1;
e9ad4aec 248 item_number const *rp;
5dde5425
PE
249 state *s = states[from_state[i]];
250 states1[0] = s->number;
d0fb370f 251
e9ad4aec 252 for (rp = (*rulep)->rhs; ! item_number_is_rule_number (*rp); rp++)
720d742f 253 {
5dde5425
PE
254 s = transitions_to (s->transitions,
255 item_number_as_symbol_number (*rp));
256 states1[length++] = s->number;
720d742f
AD
257 }
258
5dde5425
PE
259 if (!s->consistent)
260 add_lookback_edge (s, *rulep, i);
720d742f
AD
261
262 length--;
d0829076 263 done = false;
720d742f
AD
264 while (!done)
265 {
d0829076 266 done = true;
e9ad4aec
PE
267 /* Each rhs ends in an item number, and there is a
268 sentinel before the first rhs, so it is safe to
269 decrement RP here. */
720d742f 270 rp--;
e9ad4aec 271 if (ISVAR (*rp))
720d742f 272 {
5dde5425 273 /* Downcasting from item_number to symbol_number. */
5fbb0954 274 edge[nedges++] = map_goto (states1[--length],
a49aecd5 275 item_number_as_symbol_number (*rp));
5362cd5f 276 if (nullable[*rp - ntokens])
d0829076 277 done = false;
720d742f
AD
278 }
279 }
d0fb370f
RS
280 }
281
da2a7671
PE
282 if (nedges == 0)
283 includes[i] = NULL;
284 else
720d742f 285 {
9887c18a 286 int j;
da2a7671 287 includes[i] = xnmalloc (nedges + 1, sizeof includes[i][0]);
720d742f 288 for (j = 0; j < nedges; j++)
80a69750 289 includes[i][j] = edge[j];
60e3ecc7 290 includes[i][nedges] = END_NODE;
720d742f 291 }
d0fb370f
RS
292 }
293
afbb696d
PE
294 free (edge);
295 free (states1);
9887c18a 296
0e4d5753 297 relation_transpose (&includes, ngotos);
d0fb370f
RS
298}
299
300
720d742f 301
4a120d45 302static void
720d742f 303compute_FOLLOWS (void)
d0fb370f 304{
60e3ecc7 305 goto_number i;
d0fb370f 306
0e4d5753 307 relation_digraph (includes, ngotos, &F);
d0fb370f
RS
308
309 for (i = 0; i < ngotos; i++)
afbb696d 310 free (includes[i]);
d0fb370f 311
afbb696d 312 free (includes);
d0fb370f
RS
313}
314
315
4a120d45 316static void
8dd162d3 317compute_look_ahead_tokens (void)
d0fb370f 318{
d200e455 319 size_t i;
5dde5425 320 goto_list *sp;
d0fb370f 321
d200e455 322 for (i = 0; i < nLA; i++)
ddcd5fdf 323 for (sp = lookback[i]; sp; sp = sp->next)
0fb1ffb1 324 bitset_or (LA[i], LA[i], F[sp->value]);
d0fb370f 325
ddcd5fdf 326 /* Free LOOKBACK. */
d200e455 327 for (i = 0; i < nLA; i++)
5dde5425 328 LIST_FREE (goto_list, lookback[i]);
d0fb370f 329
afbb696d 330 free (lookback);
914feea9 331 bitsetv_free (F);
720d742f 332}
d0fb370f 333
d0fb370f 334
8dd162d3
PE
335/*-----------------------------------------------------.
336| Count the number of look-ahead tokens required for S |
337| (N_LOOK_AHEAD_TOKENS member). |
338`-----------------------------------------------------*/
5edafffd 339
cd08e51e 340static int
8dd162d3 341state_look_ahead_tokens_count (state *s)
5edafffd 342{
cd08e51e 343 int k;
8dd162d3 344 int n_look_ahead_tokens = 0;
5dde5425
PE
345 reductions *rp = s->reductions;
346 transitions *sp = s->transitions;
cd08e51e 347
8dd162d3 348 /* We need a look-ahead either to distinguish different
cd08e51e
AD
349 reductions (i.e., there are two or more), or to distinguish a
350 reduction from a shift. Otherwise, it is straightforward,
351 and the state is `consistent'. */
352 if (rp->num > 1
353 || (rp->num == 1 && sp->num &&
354 !TRANSITION_IS_DISABLED (sp, 0) && TRANSITION_IS_SHIFT (sp, 0)))
8dd162d3 355 n_look_ahead_tokens += rp->num;
cd08e51e 356 else
5dde5425 357 s->consistent = 1;
cd08e51e
AD
358
359 for (k = 0; k < sp->num; k++)
360 if (!TRANSITION_IS_DISABLED (sp, k) && TRANSITION_IS_ERROR (sp, k))
361 {
5dde5425 362 s->consistent = 0;
cd08e51e
AD
363 break;
364 }
3877f72b 365
8dd162d3 366 return n_look_ahead_tokens;
5edafffd
AD
367}
368
7c6b64d0 369
8dd162d3
PE
370/*-----------------------------------------------------.
371| Compute LA, NLA, and the look_ahead_tokens members. |
372`-----------------------------------------------------*/
c0263492
AD
373
374static void
cd08e51e 375initialize_LA (void)
c0263492 376{
5dde5425 377 state_number i;
cd08e51e 378 bitsetv pLA;
c0263492 379
8dd162d3 380 /* Compute the total number of reductions requiring a look-ahead. */
cd08e51e
AD
381 nLA = 0;
382 for (i = 0; i < nstates; i++)
8dd162d3 383 nLA += state_look_ahead_tokens_count (states[i]);
cd08e51e
AD
384 /* Avoid having to special case 0. */
385 if (!nLA)
386 nLA = 1;
387
388 pLA = LA = bitsetv_create (nLA, ntokens, BITSET_FIXED);
da2a7671 389 lookback = xcalloc (nLA, sizeof *lookback);
cd08e51e 390
8dd162d3
PE
391 /* Initialize the members LOOK_AHEAD_TOKENS for each state whose reductions
392 require look-ahead tokens. */
c0263492
AD
393 for (i = 0; i < nstates; i++)
394 {
8dd162d3 395 int count = state_look_ahead_tokens_count (states[i]);
cd08e51e
AD
396 if (count)
397 {
8dd162d3 398 states[i]->reductions->look_ahead_tokens = pLA;
cd08e51e
AD
399 pLA += count;
400 }
c0263492
AD
401 }
402}
403
404
8dd162d3
PE
405/*----------------------------------------------.
406| Output the look-ahead tokens for each state. |
407`----------------------------------------------*/
7c6b64d0
AD
408
409static void
8dd162d3 410look_ahead_tokens_print (FILE *out)
7c6b64d0 411{
5dde5425 412 state_number i;
602bbf31 413 int j, k;
2f4f028d 414 fprintf (out, "Look-ahead tokens: BEGIN\n");
7c6b64d0
AD
415 for (i = 0; i < nstates; ++i)
416 {
5dde5425 417 reductions *reds = states[i]->reductions;
613f5e1a 418 bitset_iterator iter;
8dd162d3 419 int n_look_ahead_tokens = 0;
cd08e51e 420
8dd162d3 421 if (reds->look_ahead_tokens)
cd08e51e 422 for (k = 0; k < reds->num; ++k)
8dd162d3
PE
423 if (reds->look_ahead_tokens[k])
424 ++n_look_ahead_tokens;
613f5e1a 425
8dd162d3
PE
426 fprintf (out, "State %d: %d look-ahead tokens\n",
427 i, n_look_ahead_tokens);
7c6b64d0 428
8dd162d3 429 if (reds->look_ahead_tokens)
cd08e51e 430 for (j = 0; j < reds->num; ++j)
8dd162d3 431 BITSET_FOR_EACH (iter, reds->look_ahead_tokens[j], k, 0)
cd08e51e 432 {
427c0dda 433 fprintf (out, " on %d (%s) -> rule %d\n",
cd08e51e
AD
434 k, symbols[k]->tag,
435 reds->rules[j]->number);
436 };
7c6b64d0 437 }
2f4f028d 438 fprintf (out, "Look-ahead tokens: END\n");
7c6b64d0
AD
439}
440
720d742f
AD
441void
442lalr (void)
443{
720d742f
AD
444 initialize_LA ();
445 set_goto_map ();
446 initialize_F ();
447 build_relations ();
448 compute_FOLLOWS ();
8dd162d3 449 compute_look_ahead_tokens ();
7c6b64d0 450
273a74fa 451 if (trace_flag & trace_sets)
8dd162d3 452 look_ahead_tokens_print (stderr);
d0fb370f 453}
3325ddc4
AD
454
455
456void
457lalr_free (void)
458{
5dde5425 459 state_number s;
3325ddc4 460 for (s = 0; s < nstates; ++s)
8dd162d3 461 states[s]->reductions->look_ahead_tokens = NULL;
3325ddc4 462 bitsetv_free (LA);
3325ddc4 463}