1 /* $NetBSD: nfa.c,v 1.3 2017/01/02 17:45:27 christos Exp $ */ 2 3 /* nfa - NFA construction routines */ 4 5 /* Copyright (c) 1990 The Regents of the University of California. */ 6 /* All rights reserved. */ 7 8 /* This code is derived from software contributed to Berkeley by */ 9 /* Vern Paxson. */ 10 11 /* The United States Government has rights in this work pursuant */ 12 /* to contract no. DE-AC03-76SF00098 between the United States */ 13 /* Department of Energy and the University of California. */ 14 15 /* This file is part of flex. */ 16 17 /* Redistribution and use in source and binary forms, with or without */ 18 /* modification, are permitted provided that the following conditions */ 19 /* are met: */ 20 21 /* 1. Redistributions of source code must retain the above copyright */ 22 /* notice, this list of conditions and the following disclaimer. */ 23 /* 2. Redistributions in binary form must reproduce the above copyright */ 24 /* notice, this list of conditions and the following disclaimer in the */ 25 /* documentation and/or other materials provided with the distribution. */ 26 27 /* Neither the name of the University nor the names of its contributors */ 28 /* may be used to endorse or promote products derived from this software */ 29 /* without specific prior written permission. */ 30 31 /* THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR */ 32 /* IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED */ 33 /* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR */ 34 /* PURPOSE. */ 35 #include "flexdef.h" 36 __RCSID("$NetBSD: nfa.c,v 1.3 2017/01/02 17:45:27 christos Exp $"); 37 38 39 40 /* declare functions that have forward references */ 41 42 int dupmachine(int); 43 void mkxtion(int, int); 44 45 46 /* add_accept - add an accepting state to a machine 47 * 48 * accepting_number becomes mach's accepting number. 49 */ 50 51 void add_accept (int mach, int accepting_number) 52 { 53 /* Hang the accepting number off an epsilon state. if it is associated 54 * with a state that has a non-epsilon out-transition, then the state 55 * will accept BEFORE it makes that transition, i.e., one character 56 * too soon. 57 */ 58 59 if (transchar[finalst[mach]] == SYM_EPSILON) 60 accptnum[finalst[mach]] = accepting_number; 61 62 else { 63 int astate = mkstate (SYM_EPSILON); 64 65 accptnum[astate] = accepting_number; 66 (void) link_machines (mach, astate); 67 } 68 } 69 70 71 /* copysingl - make a given number of copies of a singleton machine 72 * 73 * synopsis 74 * 75 * newsng = copysingl( singl, num ); 76 * 77 * newsng - a new singleton composed of num copies of singl 78 * singl - a singleton machine 79 * num - the number of copies of singl to be present in newsng 80 */ 81 82 int copysingl (int singl, int num) 83 { 84 int copy, i; 85 86 copy = mkstate (SYM_EPSILON); 87 88 for (i = 1; i <= num; ++i) 89 copy = link_machines (copy, dupmachine (singl)); 90 91 return copy; 92 } 93 94 95 /* dumpnfa - debugging routine to write out an nfa */ 96 97 void dumpnfa (int state1) 98 { 99 int sym, tsp1, tsp2, anum, ns; 100 101 fprintf (stderr, 102 _ 103 ("\n\n********** beginning dump of nfa with start state %d\n"), 104 state1); 105 106 /* We probably should loop starting at firstst[state1] and going to 107 * lastst[state1], but they're not maintained properly when we "or" 108 * all of the rules together. So we use our knowledge that the machine 109 * starts at state 1 and ends at lastnfa. 110 */ 111 112 /* for ( ns = firstst[state1]; ns <= lastst[state1]; ++ns ) */ 113 for (ns = 1; ns <= lastnfa; ++ns) { 114 fprintf (stderr, _("state # %4d\t"), ns); 115 116 sym = transchar[ns]; 117 tsp1 = trans1[ns]; 118 tsp2 = trans2[ns]; 119 anum = accptnum[ns]; 120 121 fprintf (stderr, "%3d: %4d, %4d", sym, tsp1, tsp2); 122 123 if (anum != NIL) 124 fprintf (stderr, " [%d]", anum); 125 126 fprintf (stderr, "\n"); 127 } 128 129 fprintf (stderr, _("********** end of dump\n")); 130 } 131 132 133 /* dupmachine - make a duplicate of a given machine 134 * 135 * synopsis 136 * 137 * copy = dupmachine( mach ); 138 * 139 * copy - holds duplicate of mach 140 * mach - machine to be duplicated 141 * 142 * note that the copy of mach is NOT an exact duplicate; rather, all the 143 * transition states values are adjusted so that the copy is self-contained, 144 * as the original should have been. 145 * 146 * also note that the original MUST be contiguous, with its low and high 147 * states accessible by the arrays firstst and lastst 148 */ 149 150 int dupmachine (int mach) 151 { 152 int i, init, state_offset; 153 int state = 0; 154 int last = lastst[mach]; 155 156 for (i = firstst[mach]; i <= last; ++i) { 157 state = mkstate (transchar[i]); 158 159 if (trans1[i] != NO_TRANSITION) { 160 mkxtion (finalst[state], trans1[i] + state - i); 161 162 if (transchar[i] == SYM_EPSILON && 163 trans2[i] != NO_TRANSITION) 164 mkxtion (finalst[state], 165 trans2[i] + state - i); 166 } 167 168 accptnum[state] = accptnum[i]; 169 } 170 171 if (state == 0) 172 flexfatal (_("empty machine in dupmachine()")); 173 174 state_offset = state - i + 1; 175 176 init = mach + state_offset; 177 firstst[init] = firstst[mach] + state_offset; 178 finalst[init] = finalst[mach] + state_offset; 179 lastst[init] = lastst[mach] + state_offset; 180 181 return init; 182 } 183 184 185 /* finish_rule - finish up the processing for a rule 186 * 187 * An accepting number is added to the given machine. If variable_trail_rule 188 * is true then the rule has trailing context and both the head and trail 189 * are variable size. Otherwise if headcnt or trailcnt is non-zero then 190 * the machine recognizes a pattern with trailing context and headcnt is 191 * the number of characters in the matched part of the pattern, or zero 192 * if the matched part has variable length. trailcnt is the number of 193 * trailing context characters in the pattern, or zero if the trailing 194 * context has variable length. 195 */ 196 197 void finish_rule (int mach, int variable_trail_rule, int headcnt, int trailcnt, 198 int pcont_act) 199 { 200 char action_text[MAXLINE]; 201 202 add_accept (mach, num_rules); 203 204 /* We did this in new_rule(), but it often gets the wrong 205 * number because we do it before we start parsing the current rule. 206 */ 207 rule_linenum[num_rules] = linenum; 208 209 /* If this is a continued action, then the line-number has already 210 * been updated, giving us the wrong number. 211 */ 212 if (continued_action) 213 --rule_linenum[num_rules]; 214 215 216 /* If the previous rule was continued action, then we inherit the 217 * previous newline flag, possibly overriding the current one. 218 */ 219 if (pcont_act && rule_has_nl[num_rules - 1]) 220 rule_has_nl[num_rules] = true; 221 222 snprintf (action_text, sizeof(action_text), "case %d:\n", num_rules); 223 add_action (action_text); 224 if (rule_has_nl[num_rules]) { 225 snprintf (action_text, sizeof(action_text), "/* rule %d can match eol */\n", 226 num_rules); 227 add_action (action_text); 228 } 229 230 231 if (variable_trail_rule) { 232 rule_type[num_rules] = RULE_VARIABLE; 233 234 if (performance_report > 0) 235 fprintf (stderr, 236 _ 237 ("Variable trailing context rule at line %d\n"), 238 rule_linenum[num_rules]); 239 240 variable_trailing_context_rules = true; 241 } 242 243 else { 244 rule_type[num_rules] = RULE_NORMAL; 245 246 if (headcnt > 0 || trailcnt > 0) { 247 /* Do trailing context magic to not match the trailing 248 * characters. 249 */ 250 char *scanner_cp = "YY_G(yy_c_buf_p) = yy_cp"; 251 char *scanner_bp = "yy_bp"; 252 253 add_action 254 ("*yy_cp = YY_G(yy_hold_char); /* undo effects of setting up yytext */\n"); 255 256 if (headcnt > 0) { 257 if (rule_has_nl[num_rules]) { 258 snprintf (action_text, sizeof(action_text), 259 "YY_LINENO_REWIND_TO(%s + %d);\n", scanner_bp, headcnt); 260 add_action (action_text); 261 } 262 snprintf (action_text, sizeof(action_text), "%s = %s + %d;\n", 263 scanner_cp, scanner_bp, headcnt); 264 add_action (action_text); 265 } 266 267 else { 268 if (rule_has_nl[num_rules]) { 269 snprintf (action_text, sizeof(action_text), 270 "YY_LINENO_REWIND_TO(yy_cp - %d);\n", trailcnt); 271 add_action (action_text); 272 } 273 274 snprintf (action_text, sizeof(action_text), "%s -= %d;\n", 275 scanner_cp, trailcnt); 276 add_action (action_text); 277 } 278 279 add_action 280 ("YY_DO_BEFORE_ACTION; /* set up yytext again */\n"); 281 } 282 } 283 284 /* Okay, in the action code at this point yytext and yyleng have 285 * their proper final values for this rule, so here's the point 286 * to do any user action. But don't do it for continued actions, 287 * as that'll result in multiple YY_RULE_SETUP's. 288 */ 289 if (!continued_action) 290 add_action ("YY_RULE_SETUP\n"); 291 292 line_directive_out(NULL, 1); 293 add_action("[["); 294 } 295 296 297 /* link_machines - connect two machines together 298 * 299 * synopsis 300 * 301 * new = link_machines( first, last ); 302 * 303 * new - a machine constructed by connecting first to last 304 * first - the machine whose successor is to be last 305 * last - the machine whose predecessor is to be first 306 * 307 * note: this routine concatenates the machine first with the machine 308 * last to produce a machine new which will pattern-match first first 309 * and then last, and will fail if either of the sub-patterns fails. 310 * FIRST is set to new by the operation. last is unmolested. 311 */ 312 313 int link_machines (int first, int last) 314 { 315 if (first == NIL) 316 return last; 317 318 else if (last == NIL) 319 return first; 320 321 else { 322 mkxtion (finalst[first], last); 323 finalst[first] = finalst[last]; 324 lastst[first] = MAX (lastst[first], lastst[last]); 325 firstst[first] = MIN (firstst[first], firstst[last]); 326 327 return first; 328 } 329 } 330 331 332 /* mark_beginning_as_normal - mark each "beginning" state in a machine 333 * as being a "normal" (i.e., not trailing context- 334 * associated) states 335 * 336 * The "beginning" states are the epsilon closure of the first state 337 */ 338 339 void mark_beginning_as_normal (int mach) 340 { 341 switch (state_type[mach]) { 342 case STATE_NORMAL: 343 /* Oh, we've already visited here. */ 344 return; 345 346 case STATE_TRAILING_CONTEXT: 347 state_type[mach] = STATE_NORMAL; 348 349 if (transchar[mach] == SYM_EPSILON) { 350 if (trans1[mach] != NO_TRANSITION) 351 mark_beginning_as_normal (trans1[mach]); 352 353 if (trans2[mach] != NO_TRANSITION) 354 mark_beginning_as_normal (trans2[mach]); 355 } 356 break; 357 358 default: 359 flexerror (_ 360 ("bad state type in mark_beginning_as_normal()")); 361 break; 362 } 363 } 364 365 366 /* mkbranch - make a machine that branches to two machines 367 * 368 * synopsis 369 * 370 * branch = mkbranch( first, second ); 371 * 372 * branch - a machine which matches either first's pattern or second's 373 * first, second - machines whose patterns are to be or'ed (the | operator) 374 * 375 * Note that first and second are NEITHER destroyed by the operation. Also, 376 * the resulting machine CANNOT be used with any other "mk" operation except 377 * more mkbranch's. Compare with mkor() 378 */ 379 380 int mkbranch (int first, int second) 381 { 382 int eps; 383 384 if (first == NO_TRANSITION) 385 return second; 386 387 else if (second == NO_TRANSITION) 388 return first; 389 390 eps = mkstate (SYM_EPSILON); 391 392 mkxtion (eps, first); 393 mkxtion (eps, second); 394 395 return eps; 396 } 397 398 399 /* mkclos - convert a machine into a closure 400 * 401 * synopsis 402 * new = mkclos( state ); 403 * 404 * new - a new state which matches the closure of "state" 405 */ 406 407 int mkclos (int state) 408 { 409 return mkopt (mkposcl (state)); 410 } 411 412 413 /* mkopt - make a machine optional 414 * 415 * synopsis 416 * 417 * new = mkopt( mach ); 418 * 419 * new - a machine which optionally matches whatever mach matched 420 * mach - the machine to make optional 421 * 422 * notes: 423 * 1. mach must be the last machine created 424 * 2. mach is destroyed by the call 425 */ 426 427 int mkopt (int mach) 428 { 429 int eps; 430 431 if (!SUPER_FREE_EPSILON (finalst[mach])) { 432 eps = mkstate (SYM_EPSILON); 433 mach = link_machines (mach, eps); 434 } 435 436 /* Can't skimp on the following if FREE_EPSILON(mach) is true because 437 * some state interior to "mach" might point back to the beginning 438 * for a closure. 439 */ 440 eps = mkstate (SYM_EPSILON); 441 mach = link_machines (eps, mach); 442 443 mkxtion (mach, finalst[mach]); 444 445 return mach; 446 } 447 448 449 /* mkor - make a machine that matches either one of two machines 450 * 451 * synopsis 452 * 453 * new = mkor( first, second ); 454 * 455 * new - a machine which matches either first's pattern or second's 456 * first, second - machines whose patterns are to be or'ed (the | operator) 457 * 458 * note that first and second are both destroyed by the operation 459 * the code is rather convoluted because an attempt is made to minimize 460 * the number of epsilon states needed 461 */ 462 463 int mkor (int first, int second) 464 { 465 int eps, orend; 466 467 if (first == NIL) 468 return second; 469 470 else if (second == NIL) 471 return first; 472 473 else { 474 /* See comment in mkopt() about why we can't use the first 475 * state of "first" or "second" if they satisfy "FREE_EPSILON". 476 */ 477 eps = mkstate (SYM_EPSILON); 478 479 first = link_machines (eps, first); 480 481 mkxtion (first, second); 482 483 if (SUPER_FREE_EPSILON (finalst[first]) && 484 accptnum[finalst[first]] == NIL) { 485 orend = finalst[first]; 486 mkxtion (finalst[second], orend); 487 } 488 489 else if (SUPER_FREE_EPSILON (finalst[second]) && 490 accptnum[finalst[second]] == NIL) { 491 orend = finalst[second]; 492 mkxtion (finalst[first], orend); 493 } 494 495 else { 496 eps = mkstate (SYM_EPSILON); 497 498 first = link_machines (first, eps); 499 orend = finalst[first]; 500 501 mkxtion (finalst[second], orend); 502 } 503 } 504 505 finalst[first] = orend; 506 return first; 507 } 508 509 510 /* mkposcl - convert a machine into a positive closure 511 * 512 * synopsis 513 * new = mkposcl( state ); 514 * 515 * new - a machine matching the positive closure of "state" 516 */ 517 518 int mkposcl (int state) 519 { 520 int eps; 521 522 if (SUPER_FREE_EPSILON (finalst[state])) { 523 mkxtion (finalst[state], state); 524 return state; 525 } 526 527 else { 528 eps = mkstate (SYM_EPSILON); 529 mkxtion (eps, state); 530 return link_machines (state, eps); 531 } 532 } 533 534 535 /* mkrep - make a replicated machine 536 * 537 * synopsis 538 * new = mkrep( mach, lb, ub ); 539 * 540 * new - a machine that matches whatever "mach" matched from "lb" 541 * number of times to "ub" number of times 542 * 543 * note 544 * if "ub" is INFINITE_REPEAT then "new" matches "lb" or more occurrences of "mach" 545 */ 546 547 int mkrep (int mach, int lb, int ub) 548 { 549 int base_mach, tail, copy, i; 550 551 base_mach = copysingl (mach, lb - 1); 552 553 if (ub == INFINITE_REPEAT) { 554 copy = dupmachine (mach); 555 mach = link_machines (mach, 556 link_machines (base_mach, 557 mkclos (copy))); 558 } 559 560 else { 561 tail = mkstate (SYM_EPSILON); 562 563 for (i = lb; i < ub; ++i) { 564 copy = dupmachine (mach); 565 tail = mkopt (link_machines (copy, tail)); 566 } 567 568 mach = 569 link_machines (mach, 570 link_machines (base_mach, tail)); 571 } 572 573 return mach; 574 } 575 576 577 /* mkstate - create a state with a transition on a given symbol 578 * 579 * synopsis 580 * 581 * state = mkstate( sym ); 582 * 583 * state - a new state matching sym 584 * sym - the symbol the new state is to have an out-transition on 585 * 586 * note that this routine makes new states in ascending order through the 587 * state array (and increments LASTNFA accordingly). The routine DUPMACHINE 588 * relies on machines being made in ascending order and that they are 589 * CONTIGUOUS. Change it and you will have to rewrite DUPMACHINE (kludge 590 * that it admittedly is) 591 */ 592 593 int mkstate (int sym) 594 { 595 if (++lastnfa >= current_mns) { 596 if ((current_mns += MNS_INCREMENT) >= maximum_mns) 597 lerr(_ 598 ("input rules are too complicated (>= %d NFA states)"), 599 current_mns); 600 601 ++num_reallocs; 602 603 firstst = reallocate_integer_array (firstst, current_mns); 604 lastst = reallocate_integer_array (lastst, current_mns); 605 finalst = reallocate_integer_array (finalst, current_mns); 606 transchar = 607 reallocate_integer_array (transchar, current_mns); 608 trans1 = reallocate_integer_array (trans1, current_mns); 609 trans2 = reallocate_integer_array (trans2, current_mns); 610 accptnum = 611 reallocate_integer_array (accptnum, current_mns); 612 assoc_rule = 613 reallocate_integer_array (assoc_rule, current_mns); 614 state_type = 615 reallocate_integer_array (state_type, current_mns); 616 } 617 618 firstst[lastnfa] = lastnfa; 619 finalst[lastnfa] = lastnfa; 620 lastst[lastnfa] = lastnfa; 621 transchar[lastnfa] = sym; 622 trans1[lastnfa] = NO_TRANSITION; 623 trans2[lastnfa] = NO_TRANSITION; 624 accptnum[lastnfa] = NIL; 625 assoc_rule[lastnfa] = num_rules; 626 state_type[lastnfa] = current_state_type; 627 628 /* Fix up equivalence classes base on this transition. Note that any 629 * character which has its own transition gets its own equivalence 630 * class. Thus only characters which are only in character classes 631 * have a chance at being in the same equivalence class. E.g. "a|b" 632 * puts 'a' and 'b' into two different equivalence classes. "[ab]" 633 * puts them in the same equivalence class (barring other differences 634 * elsewhere in the input). 635 */ 636 637 if (sym < 0) { 638 /* We don't have to update the equivalence classes since 639 * that was already done when the ccl was created for the 640 * first time. 641 */ 642 } 643 644 else if (sym == SYM_EPSILON) 645 ++numeps; 646 647 else { 648 check_char (sym); 649 650 if (useecs) 651 /* Map NUL's to csize. */ 652 mkechar (sym ? sym : csize, nextecm, ecgroup); 653 } 654 655 return lastnfa; 656 } 657 658 659 /* mkxtion - make a transition from one state to another 660 * 661 * synopsis 662 * 663 * mkxtion( statefrom, stateto ); 664 * 665 * statefrom - the state from which the transition is to be made 666 * stateto - the state to which the transition is to be made 667 */ 668 669 void mkxtion (int statefrom, int stateto) 670 { 671 if (trans1[statefrom] == NO_TRANSITION) 672 trans1[statefrom] = stateto; 673 674 else if ((transchar[statefrom] != SYM_EPSILON) || 675 (trans2[statefrom] != NO_TRANSITION)) 676 flexfatal (_("found too many transitions in mkxtion()")); 677 678 else { /* second out-transition for an epsilon state */ 679 ++eps2; 680 trans2[statefrom] = stateto; 681 } 682 } 683 684 /* new_rule - initialize for a new rule */ 685 686 void new_rule (void) 687 { 688 if (++num_rules >= current_max_rules) { 689 ++num_reallocs; 690 current_max_rules += MAX_RULES_INCREMENT; 691 rule_type = reallocate_integer_array (rule_type, 692 current_max_rules); 693 rule_linenum = reallocate_integer_array (rule_linenum, 694 current_max_rules); 695 rule_useful = reallocate_integer_array (rule_useful, 696 current_max_rules); 697 rule_has_nl = reallocate_bool_array (rule_has_nl, 698 current_max_rules); 699 } 700 701 if (num_rules > MAX_RULE) 702 lerr (_("too many rules (> %d)!"), MAX_RULE); 703 704 rule_linenum[num_rules] = linenum; 705 rule_useful[num_rules] = false; 706 rule_has_nl[num_rules] = false; 707 } 708