/* Grammar reduction for Bison. Copyright (C) 1988-1989, 2000-2003, 2005-2012 Free Software Foundation, Inc. This file is part of Bison, the GNU Compiler Compiler. This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see <http://www.gnu.org/licenses/>. */ /* Reduce the grammar: Find and eliminate unreachable terminals, nonterminals, and productions. David S. Bakin. */ /* Don't eliminate unreachable terminals: They may be used by the user's parser. */ #include <config.h> #include "system.h" #include <bitset.h> #include "complain.h" #include "files.h" #include "getargs.h" #include "gram.h" #include "print-xml.h" #include "reader.h" #include "reduce.h" #include "symtab.h" /* Set of all nonterminals which are not useless. */ static bitset N; /* Set of all rules which have no useless nonterminals in their RHS. */ static bitset P; /* Set of all accessible symbols. */ static bitset V; /* Set of symbols used to define rule precedence (so they are `useless', but no warning should be issued). */ static bitset V1; static rule_number nuseful_productions; rule_number nuseless_productions; static int nuseful_nonterminals; symbol_number nuseless_nonterminals; /*-------------------------------------------------------------------. | Another way to do this would be with a set for each production and | | then do subset tests against N0, but even for the C grammar the | | whole reducing process takes only 2 seconds on my 8Mhz AT. | `-------------------------------------------------------------------*/ static bool useful_production (rule_number r, bitset N0) { item_number *rhsp; /* A production is useful if all of the nonterminals in its appear in the set of useful nonterminals. */ for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp) if (ISVAR (*rhsp) && !bitset_test (N0, *rhsp - ntokens)) return false; return true; } /*---------------------------------------------------------. | Remember that rules are 1-origin, symbols are 0-origin. | `---------------------------------------------------------*/ static void useless_nonterminals (void) { bitset Np, Ns; rule_number r; /* N is set as built. Np is set being built this iteration. P is set of all productions which have a RHS all in N. */ Np = bitset_create (nvars, BITSET_FIXED); /* The set being computed is a set of nonterminals which can derive the empty string or strings consisting of all terminals. At each iteration a nonterminal is added to the set if there is a production with that nonterminal as its LHS for which all the nonterminals in its RHS are already in the set. Iterate until the set being computed remains unchanged. Any nonterminals not in the set at that point are useless in that they will never be used in deriving a sentence of the language. This iteration doesn't use any special traversal over the productions. A set is kept of all productions for which all the nonterminals in the RHS are in useful. Only productions not in this set are scanned on each iteration. At the end, this set is saved to be used when finding useful productions: only productions in this set will appear in the final grammar. */ while (1) { bitset_copy (Np, N); for (r = 0; r < nrules; r++) if (!bitset_test (P, r) && useful_production (r, N)) { bitset_set (Np, rules[r].lhs->number - ntokens); bitset_set (P, r); } if (bitset_equal_p (N, Np)) break; Ns = Np; Np = N; N = Ns; } bitset_free (N); N = Np; } static void inaccessable_symbols (void) { bitset Vp, Vs, Pp; /* Find out which productions are reachable and which symbols are used. Starting with an empty set of productions and a set of symbols which only has the start symbol in it, iterate over all productions until the set of productions remains unchanged for an iteration. For each production which has a LHS in the set of reachable symbols, add the production to the set of reachable productions, and add all of the nonterminals in the RHS of the production to the set of reachable symbols. Consider only the (partially) reduced grammar which has only nonterminals in N and productions in P. The result is the set P of productions in the reduced grammar, and the set V of symbols in the reduced grammar. Although this algorithm also computes the set of terminals which are reachable, no terminal will be deleted from the grammar. Some terminals might not be in the grammar but might be generated by semantic routines, and so the user might want them available with specified numbers. (Is this true?) However, the nonreachable terminals are printed (if running in verbose mode) so that the user can know. */ Vp = bitset_create (nsyms, BITSET_FIXED); Pp = bitset_create (nrules, BITSET_FIXED); /* If the start symbol isn't useful, then nothing will be useful. */ if (bitset_test (N, accept->number - ntokens)) { bitset_set (V, accept->number); while (1) { rule_number r; bitset_copy (Vp, V); for (r = 0; r < nrules; r++) { if (!bitset_test (Pp, r) && bitset_test (P, r) && bitset_test (V, rules[r].lhs->number)) { item_number *rhsp; for (rhsp = rules[r].rhs; *rhsp >= 0; rhsp++) if (ISTOKEN (*rhsp) || bitset_test (N, *rhsp - ntokens)) bitset_set (Vp, *rhsp); bitset_set (Pp, r); } } if (bitset_equal_p (V, Vp)) break; Vs = Vp; Vp = V; V = Vs; } } bitset_free (V); V = Vp; /* Tokens 0, 1, and 2 are internal to Bison. Consider them useful. */ bitset_set (V, endtoken->number); /* end-of-input token */ bitset_set (V, errtoken->number); /* error token */ bitset_set (V, undeftoken->number); /* some undefined token */ bitset_free (P); P = Pp; nuseful_productions = bitset_count (P); nuseless_productions = nrules - nuseful_productions; nuseful_nonterminals = 0; { symbol_number i; for (i = ntokens; i < nsyms; i++) if (bitset_test (V, i)) nuseful_nonterminals++; } nuseless_nonterminals = nvars - nuseful_nonterminals; /* A token that was used in %prec should not be warned about. */ { rule_number r; for (r = 0; r < nrules; ++r) if (rules[r].precsym != 0) bitset_set (V1, rules[r].precsym->number); } } /*-------------------------------------------------------------------. | Put the useless productions at the end of RULES, and adjust NRULES | | accordingly. | `-------------------------------------------------------------------*/ static void reduce_grammar_tables (void) { /* Report and flag useless productions. */ { rule_number r; for (r = 0; r < nrules; r++) rules[r].useful = bitset_test (P, r); grammar_rules_useless_report (_("rule useless in grammar")); } /* Map the nonterminals to their new index: useful first, useless afterwards. Kept for later report. */ { int useful = 0; int useless = nrules - nuseless_productions; rule *rules_sorted = xnmalloc (nrules, sizeof *rules_sorted); rule_number r; for (r = 0; r < nrules; ++r) rules_sorted[rules[r].useful ? useful++ : useless++] = rules[r]; free (rules); rules = rules_sorted; /* Renumber the rules markers in RITEMS. */ for (r = 0; r < nrules; ++r) { item_number *rhsp = rules[r].rhs; for (/* Nothing. */; *rhsp >= 0; ++rhsp) /* Nothing. */; *rhsp = rule_number_as_item_number (r); rules[r].number = r; } nrules -= nuseless_productions; } /* Adjust NRITEMS. */ { rule_number r; int length; for (r = nrules; r < nrules + nuseless_productions; ++r) { length = rule_rhs_length (&rules[r]); nritems -= length + 1; } } } /*------------------------------. | Remove useless nonterminals. | `------------------------------*/ static void nonterminals_reduce (void) { symbol_number i, n; /* Map the nonterminals to their new index: useful first, useless afterwards. Kept for later report. */ symbol_number *nontermmap = xnmalloc (nvars, sizeof *nontermmap); n = ntokens; for (i = ntokens; i < nsyms; i++) if (bitset_test (V, i)) nontermmap[i - ntokens] = n++; for (i = ntokens; i < nsyms; i++) if (!bitset_test (V, i)) { nontermmap[i - ntokens] = n++; warn_at (symbols[i]->location, _("nonterminal useless in grammar: %s"), symbols[i]->tag); } /* Shuffle elements of tables indexed by symbol number. */ { symbol **symbols_sorted = xnmalloc (nvars, sizeof *symbols_sorted); for (i = ntokens; i < nsyms; i++) symbols[i]->number = nontermmap[i - ntokens]; for (i = ntokens; i < nsyms; i++) symbols_sorted[nontermmap[i - ntokens] - ntokens] = symbols[i]; for (i = ntokens; i < nsyms; i++) symbols[i] = symbols_sorted[i - ntokens]; free (symbols_sorted); } { rule_number r; for (r = 0; r < nrules; ++r) { item_number *rhsp; for (rhsp = rules[r].rhs; *rhsp >= 0; ++rhsp) if (ISVAR (*rhsp)) *rhsp = symbol_number_as_item_number (nontermmap[*rhsp - ntokens]); } accept->number = nontermmap[accept->number - ntokens]; } nsyms -= nuseless_nonterminals; nvars -= nuseless_nonterminals; free (nontermmap); } /*------------------------------------------------------------------. | Output the detailed results of the reductions. For FILE.output. | `------------------------------------------------------------------*/ void reduce_output (FILE *out) { if (nuseless_nonterminals > 0) { int i; fprintf (out, "%s\n\n", _("Nonterminals useless in grammar")); for (i = 0; i < nuseless_nonterminals; ++i) fprintf (out, " %s\n", symbols[nsyms + i]->tag); fputs ("\n\n", out); } { bool b = false; int i; for (i = 0; i < ntokens; i++) if (reduce_token_unused_in_grammar (i)) { if (!b) fprintf (out, "%s\n\n", _("Terminals unused in grammar")); b = true; fprintf (out, " %s\n", symbols[i]->tag); } if (b) fputs ("\n\n", out); } if (nuseless_productions > 0) grammar_rules_partial_print (out, _("Rules useless in grammar"), rule_useless_in_grammar_p); } /*-------------------------------. | Report the results to STDERR. | `-------------------------------*/ static void reduce_print (void) { if (nuseless_nonterminals > 0) warn (ngettext ("%d nonterminal useless in grammar", "%d nonterminals useless in grammar", nuseless_nonterminals), nuseless_nonterminals); if (nuseless_productions > 0) warn (ngettext ("%d rule useless in grammar", "%d rules useless in grammar", nuseless_productions), nuseless_productions); } void reduce_grammar (void) { bool reduced; /* Allocate the global sets used to compute the reduced grammar */ N = bitset_create (nvars, BITSET_FIXED); P = bitset_create (nrules, BITSET_FIXED); V = bitset_create (nsyms, BITSET_FIXED); V1 = bitset_create (nsyms, BITSET_FIXED); useless_nonterminals (); inaccessable_symbols (); reduced = (nuseless_nonterminals + nuseless_productions > 0); if (!reduced) return; reduce_print (); if (!bitset_test (N, accept->number - ntokens)) fatal_at (startsymbol_location, _("start symbol %s does not derive any sentence"), startsymbol->tag); /* First reduce the nonterminals, as they renumber themselves in the whole grammar. If you change the order, nonterms would be renumbered only in the reduced grammar. */ if (nuseless_nonterminals > 0) nonterminals_reduce (); if (nuseless_productions > 0) reduce_grammar_tables (); if (trace_flag & trace_grammar) { grammar_dump (stderr, "Reduced Grammar"); fprintf (stderr, "reduced %s defines %d terminals, %d nonterminals\ , and %d productions.\n", grammar_file, ntokens, nvars, nrules); } } bool reduce_token_unused_in_grammar (symbol_number i) { aver (i < ntokens); return !bitset_test (V, i) && !bitset_test (V1, i); } bool reduce_nonterminal_useless_in_grammar (symbol_number i) { aver (ntokens <= i && i < nsyms + nuseless_nonterminals); return nsyms <= i; } /*-----------------------------------------------------------. | Free the global sets used to compute the reduced grammar. | `-----------------------------------------------------------*/ void reduce_free (void) { bitset_free (N); bitset_free (V); bitset_free (V1); bitset_free (P); }