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1/* Generate the nondeterministic finite state machine for bison,
2 Copyright (C) 1984, 1986, 1989 Free Software Foundation, Inc.
3
4This file is part of Bison, the GNU Compiler Compiler.
5
6Bison is free software; you can redistribute it and/or modify
7it under the terms of the GNU General Public License as published by
8the Free Software Foundation; either version 2, or (at your option)
9any later version.
10
11Bison is distributed in the hope that it will be useful,
12but WITHOUT ANY WARRANTY; without even the implied warranty of
13MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14GNU General Public License for more details.
15
16You should have received a copy of the GNU General Public License
17along with Bison; see the file COPYING. If not, write to
18the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */
19
20
21/* See comments in state.h for the data structures that represent it.
22 The entry point is generate_states. */
23
24#include <stdio.h>
25#include "system.h"
26#include "machine.h"
27#include "new.h"
28#include "gram.h"
29#include "state.h"
30
31
32extern char *nullable;
33extern short *itemset;
34extern short *itemsetend;
35
36
37int nstates;
38int final_state;
39core *first_state;
40shifts *first_shift;
41reductions *first_reduction;
42
43int get_state();
44core *new_state();
45
46void new_itemsets();
47void append_states();
48void initialize_states();
49void save_shifts();
50void save_reductions();
51void augment_automaton();
52void insert_start_shift();
53extern void initialize_closure();
54extern void closure();
55extern void finalize_closure();
56extern void toomany();
57
58static core *this_state;
59static core *last_state;
60static shifts *last_shift;
61static reductions *last_reduction;
62
63static int nshifts;
64static short *shift_symbol;
65
66static short *redset;
67static short *shiftset;
68
69static short **kernel_base;
70static short **kernel_end;
71static short *kernel_items;
72
73/* hash table for states, to recognize equivalent ones. */
74
75#define STATE_TABLE_SIZE 1009
76static core **state_table;
77
78
79
80void
81allocate_itemsets()
82{
83 register short *itemp;
84 register int symbol;
85 register int i;
86 register int count;
87 register short *symbol_count;
88
89 count = 0;
90 symbol_count = NEW2(nsyms, short);
91
92 itemp = ritem;
93 symbol = *itemp++;
94 while (symbol)
95 {
96 if (symbol > 0)
97 {
98 count++;
99 symbol_count[symbol]++;
100 }
101 symbol = *itemp++;
102 }
103
104 /* see comments before new_itemsets. All the vectors of items
105 live inside kernel_items. The number of active items after
106 some symbol cannot be more than the number of times that symbol
107 appears as an item, which is symbol_count[symbol].
108 We allocate that much space for each symbol. */
109
110 kernel_base = NEW2(nsyms, short *);
111 kernel_items = NEW2(count, short);
112
113 count = 0;
114 for (i = 0; i < nsyms; i++)
115 {
116 kernel_base[i] = kernel_items + count;
117 count += symbol_count[i];
118 }
119
120 shift_symbol = symbol_count;
121 kernel_end = NEW2(nsyms, short *);
122}
123
124
125void
126allocate_storage()
127{
128 allocate_itemsets();
129
130 shiftset = NEW2(nsyms, short);
131 redset = NEW2(nrules + 1, short);
132 state_table = NEW2(STATE_TABLE_SIZE, core *);
133}
134
135
136void
137free_storage()
138{
139 FREE(shift_symbol);
140 FREE(redset);
141 FREE(shiftset);
142 FREE(kernel_base);
143 FREE(kernel_end);
144 FREE(kernel_items);
145 FREE(state_table);
146}
147
148
149
150/* compute the nondeterministic finite state machine (see state.h for details)
151from the grammar. */
152void
153generate_states()
154{
155 allocate_storage();
156 initialize_closure(nitems);
157 initialize_states();
158
159 while (this_state)
160 {
161 /* Set up ruleset and itemset for the transitions out of this state.
162 ruleset gets a 1 bit for each rule that could reduce now.
163 itemset gets a vector of all the items that could be accepted next. */
164 closure(this_state->items, this_state->nitems);
165 /* record the reductions allowed out of this state */
166 save_reductions();
167 /* find the itemsets of the states that shifts can reach */
168 new_itemsets();
169 /* find or create the core structures for those states */
170 append_states();
171
172 /* create the shifts structures for the shifts to those states,
173 now that the state numbers transitioning to are known */
174 if (nshifts > 0)
175 save_shifts();
176
177 /* states are queued when they are created; process them all */
178 this_state = this_state->next;
179 }
180
181 /* discard various storage */
182 finalize_closure();
183 free_storage();
184
185 /* set up initial and final states as parser wants them */
186 augment_automaton();
187}
188
189
190
191/* Find which symbols can be shifted in the current state,
192 and for each one record which items would be active after that shift.
193 Uses the contents of itemset.
194 shift_symbol is set to a vector of the symbols that can be shifted.
195 For each symbol in the grammar, kernel_base[symbol] points to
196 a vector of item numbers activated if that symbol is shifted,
197 and kernel_end[symbol] points after the end of that vector. */
198void
199new_itemsets()
200{
201 register int i;
202 register int shiftcount;
203 register short *isp;
204 register short *ksp;
205 register int symbol;
206
207#ifdef TRACE
208 fprintf(stderr, "Entering new_itemsets\n");
209#endif
210
211 for (i = 0; i < nsyms; i++)
212 kernel_end[i] = NULL;
213
214 shiftcount = 0;
215
216 isp = itemset;
217
218 while (isp < itemsetend)
219 {
220 i = *isp++;
221 symbol = ritem[i];
222 if (symbol > 0)
223 {
224 ksp = kernel_end[symbol];
225
226 if (!ksp)
227 {
228 shift_symbol[shiftcount++] = symbol;
229 ksp = kernel_base[symbol];
230 }
231
232 *ksp++ = i + 1;
233 kernel_end[symbol] = ksp;
234 }
235 }
236
237 nshifts = shiftcount;
238}
239
240
241
242/* Use the information computed by new_itemsets to find the state numbers
243 reached by each shift transition from the current state.
244
245 shiftset is set up as a vector of state numbers of those states. */
246void
247append_states()
248{
249 register int i;
250 register int j;
251 register int symbol;
252
253#ifdef TRACE
254 fprintf(stderr, "Entering append_states\n");
255#endif
256
257 /* first sort shift_symbol into increasing order */
258
259 for (i = 1; i < nshifts; i++)
260 {
261 symbol = shift_symbol[i];
262 j = i;
263 while (j > 0 && shift_symbol[j - 1] > symbol)
264 {
265 shift_symbol[j] = shift_symbol[j - 1];
266 j--;
267 }
268 shift_symbol[j] = symbol;
269 }
270
271 for (i = 0; i < nshifts; i++)
272 {
273 symbol = shift_symbol[i];
274 shiftset[i] = get_state(symbol);
275 }
276}
277
278
279
280/* find the state number for the state we would get to
281(from the current state) by shifting symbol.
282Create a new state if no equivalent one exists already.
283Used by append_states */
284
285int
286get_state(symbol)
287int symbol;
288{
289 register int key;
290 register short *isp1;
291 register short *isp2;
292 register short *iend;
293 register core *sp;
294 register int found;
295
296 int n;
297
298#ifdef TRACE
299 fprintf(stderr, "Entering get_state, symbol = %d\n", symbol);
300#endif
301
302 isp1 = kernel_base[symbol];
303 iend = kernel_end[symbol];
304 n = iend - isp1;
305
306 /* add up the target state's active item numbers to get a hash key */
307 key = 0;
308 while (isp1 < iend)
309 key += *isp1++;
310
311 key = key % STATE_TABLE_SIZE;
312
313 sp = state_table[key];
314
315 if (sp)
316 {
317 found = 0;
318 while (!found)
319 {
320 if (sp->nitems == n)
321 {
322 found = 1;
323 isp1 = kernel_base[symbol];
324 isp2 = sp->items;
325
326 while (found && isp1 < iend)
327 {
328 if (*isp1++ != *isp2++)
329 found = 0;
330 }
331 }
332
333 if (!found)
334 {
335 if (sp->link)
336 {
337 sp = sp->link;
338 }
339 else /* bucket exhausted and no match */
340 {
341 sp = sp->link = new_state(symbol);
342 found = 1;
343 }
344 }
345 }
346 }
347 else /* bucket is empty */
348 {
349 state_table[key] = sp = new_state(symbol);
350 }
351
352 return (sp->number);
353}
354
355
356
357/* subroutine of get_state. create a new state for those items, if necessary. */
358
359core *
360new_state(symbol)
361int symbol;
362{
363 register int n;
364 register core *p;
365 register short *isp1;
366 register short *isp2;
367 register short *iend;
368
369#ifdef TRACE
370 fprintf(stderr, "Entering new_state, symbol = %d\n", symbol);
371#endif
372
373 if (nstates >= MAXSHORT)
374 toomany("states");
375
376 isp1 = kernel_base[symbol];
377 iend = kernel_end[symbol];
378 n = iend - isp1;
379
380 p = (core *) xmalloc((unsigned) (sizeof(core) + (n - 1) * sizeof(short)));
381 p->accessing_symbol = symbol;
382 p->number = nstates;
383 p->nitems = n;
384
385 isp2 = p->items;
386 while (isp1 < iend)
387 *isp2++ = *isp1++;
388
389 last_state->next = p;
390 last_state = p;
391
392 nstates++;
393
394 return (p);
395}
396
397
398void
399initialize_states()
400{
401 register core *p;
402/* register unsigned *rp1; JF unused */
403/* register unsigned *rp2; JF unused */
404/* register unsigned *rend; JF unused */
405
406 p = (core *) xmalloc((unsigned) (sizeof(core) - sizeof(short)));
407 first_state = last_state = this_state = p;
408 nstates = 1;
409}
410
411
412void
413save_shifts()
414{
415 register shifts *p;
416 register short *sp1;
417 register short *sp2;
418 register short *send;
419
420 p = (shifts *) xmalloc((unsigned) (sizeof(shifts) +
421 (nshifts - 1) * sizeof(short)));
422
423 p->number = this_state->number;
424 p->nshifts = nshifts;
425
426 sp1 = shiftset;
427 sp2 = p->shifts;
428 send = shiftset + nshifts;
429
430 while (sp1 < send)
431 *sp2++ = *sp1++;
432
433 if (last_shift)
434 {
435 last_shift->next = p;
436 last_shift = p;
437 }
438 else
439 {
440 first_shift = p;
441 last_shift = p;
442 }
443}
444
445
446
447/* find which rules can be used for reduction transitions from the current state
448 and make a reductions structure for the state to record their rule numbers. */
449void
450save_reductions()
451{
452 register short *isp;
453 register short *rp1;
454 register short *rp2;
455 register int item;
456 register int count;
457 register reductions *p;
458
459 short *rend;
460
461 /* find and count the active items that represent ends of rules */
462
463 count = 0;
464 for (isp = itemset; isp < itemsetend; isp++)
465 {
466 item = ritem[*isp];
467 if (item < 0)
468 {
469 redset[count++] = -item;
470 }
471 }
472
473 /* make a reductions structure and copy the data into it. */
474
475 if (count)
476 {
477 p = (reductions *) xmalloc((unsigned) (sizeof(reductions) +
478 (count - 1) * sizeof(short)));
479
480 p->number = this_state->number;
481 p->nreds = count;
482
483 rp1 = redset;
484 rp2 = p->rules;
485 rend = rp1 + count;
486
487 while (rp1 < rend)
488 *rp2++ = *rp1++;
489
490 if (last_reduction)
491 {
492 last_reduction->next = p;
493 last_reduction = p;
494 }
495 else
496 {
497 first_reduction = p;
498 last_reduction = p;
499 }
500 }
501}
502
503
504
505/* Make sure that the initial state has a shift that accepts the
506grammar's start symbol and goes to the next-to-final state,
507which has a shift going to the final state, which has a shift
508to the termination state.
509Create such states and shifts if they don't happen to exist already. */
510void
511augment_automaton()
512{
513 register int i;
514 register int k;
515/* register int found; JF unused */
516 register core *statep;
517 register shifts *sp;
518 register shifts *sp2;
519 register shifts *sp1;
520
521 sp = first_shift;
522
523 if (sp)
524 {
525 if (sp->number == 0)
526 {
527 k = sp->nshifts;
528 statep = first_state->next;
529
530 /* The states reached by shifts from first_state are numbered 1...K.
531 Look for one reached by start_symbol. */
532 while (statep->accessing_symbol < start_symbol
533 && statep->number < k)
534 statep = statep->next;
535
536 if (statep->accessing_symbol == start_symbol)
537 {
538 /* We already have a next-to-final state.
539 Make sure it has a shift to what will be the final state. */
540 k = statep->number;
541
542 while (sp && sp->number < k)
543 {
544 sp1 = sp;
545 sp = sp->next;
546 }
547
548 if (sp && sp->number == k)
549 {
550 sp2 = (shifts *) xmalloc((unsigned) (sizeof(shifts)
551 + sp->nshifts * sizeof(short)));
552 sp2->number = k;
553 sp2->nshifts = sp->nshifts + 1;
554 sp2->shifts[0] = nstates;
555 for (i = sp->nshifts; i > 0; i--)
556 sp2->shifts[i] = sp->shifts[i - 1];
557
558 /* Patch sp2 into the chain of shifts in place of sp,
559 following sp1. */
560 sp2->next = sp->next;
561 sp1->next = sp2;
562 if (sp == last_shift)
563 last_shift = sp2;
564 FREE(sp);
565 }
566 else
567 {
568 sp2 = NEW(shifts);
569 sp2->number = k;
570 sp2->nshifts = 1;
571 sp2->shifts[0] = nstates;
572
573 /* Patch sp2 into the chain of shifts between sp1 and sp. */
574 sp2->next = sp;
575 sp1->next = sp2;
576 if (sp == 0)
577 last_shift = sp2;
578 }
579 }
580 else
581 {
582 /* There is no next-to-final state as yet. */
583 /* Add one more shift in first_shift,
584 going to the next-to-final state (yet to be made). */
585 sp = first_shift;
586
587 sp2 = (shifts *) xmalloc(sizeof(shifts)
588 + sp->nshifts * sizeof(short));
589 sp2->nshifts = sp->nshifts + 1;
590
591 /* Stick this shift into the vector at the proper place. */
592 statep = first_state->next;
593 for (k = 0, i = 0; i < sp->nshifts; k++, i++)
594 {
595 if (statep->accessing_symbol > start_symbol && i == k)
596 sp2->shifts[k++] = nstates;
597 sp2->shifts[k] = sp->shifts[i];
598 statep = statep->next;
599 }
600 if (i == k)
601 sp2->shifts[k++] = nstates;
602
603 /* Patch sp2 into the chain of shifts
604 in place of sp, at the beginning. */
605 sp2->next = sp->next;
606 first_shift = sp2;
607 if (last_shift == sp)
608 last_shift = sp2;
609
610 FREE(sp);
611
612 /* Create the next-to-final state, with shift to
613 what will be the final state. */
614 insert_start_shift();
615 }
616 }
617 else
618 {
619 /* The initial state didn't even have any shifts.
620 Give it one shift, to the next-to-final state. */
621 sp = NEW(shifts);
622 sp->nshifts = 1;
623 sp->shifts[0] = nstates;
624
625 /* Patch sp into the chain of shifts at the beginning. */
626 sp->next = first_shift;
627 first_shift = sp;
628
629 /* Create the next-to-final state, with shift to
630 what will be the final state. */
631 insert_start_shift();
632 }
633 }
634 else
635 {
636 /* There are no shifts for any state.
637 Make one shift, from the initial state to the next-to-final state. */
638
639 sp = NEW(shifts);
640 sp->nshifts = 1;
641 sp->shifts[0] = nstates;
642
643 /* Initialize the chain of shifts with sp. */
644 first_shift = sp;
645 last_shift = sp;
646
647 /* Create the next-to-final state, with shift to
648 what will be the final state. */
649 insert_start_shift();
650 }
651
652 /* Make the final state--the one that follows a shift from the
653 next-to-final state.
654 The symbol for that shift is 0 (end-of-file). */
655 statep = (core *) xmalloc((unsigned) (sizeof(core) - sizeof(short)));
656 statep->number = nstates;
657 last_state->next = statep;
658 last_state = statep;
659
660 /* Make the shift from the final state to the termination state. */
661 sp = NEW(shifts);
662 sp->number = nstates++;
663 sp->nshifts = 1;
664 sp->shifts[0] = nstates;
665 last_shift->next = sp;
666 last_shift = sp;
667
668 /* Note that the variable `final_state' refers to what we sometimes call
669 the termination state. */
670 final_state = nstates;
671
672 /* Make the termination state. */
673 statep = (core *) xmalloc((unsigned) (sizeof(core) - sizeof(short)));
674 statep->number = nstates++;
675 last_state->next = statep;
676 last_state = statep;
677}
678
679
680/* subroutine of augment_automaton.
681 Create the next-to-final state, to which a shift has already been made in
682 the initial state. */
683void
684insert_start_shift()
685{
686 register core *statep;
687 register shifts *sp;
688
689 statep = (core *) xmalloc((unsigned) (sizeof(core) - sizeof(short)));
690 statep->number = nstates;
691 statep->accessing_symbol = start_symbol;
692
693 last_state->next = statep;
694 last_state = statep;
695
696 /* Make a shift from this state to (what will be) the final state. */
697 sp = NEW(shifts);
698 sp->number = nstates++;
699 sp->nshifts = 1;
700 sp->shifts[0] = nstates;
701
702 last_shift->next = sp;
703 last_shift = sp;
704}