www.pudn.com > bison.zip > reduce.c


/* Grammar reduction for Bison. 
   Copyright (C) 1988, 1989 Free Software Foundation, Inc. 
 
This file is part of Bison, the GNU Compiler Compiler. 
 
Bison 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 2, or (at your option) 
any later version. 
 
Bison 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 Bison; see the file COPYING.  If not, write to 
the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.  */ 
 
 
/* 
 * 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  
#include "system.h" 
#include "files.h" 
#include "gram.h" 
#include "machine.h" 
#include "new.h" 
 
 
extern char   **tags;		/* reader.c */ 
extern int      verboseflag;	/* getargs.c */ 
static int      statisticsflag;	/* XXXXXXX */ 
 
#ifndef TRUE 
#define TRUE	(1) 
#define FALSE	(0) 
#endif 
typedef int bool; 
typedef unsigned *BSet; 
typedef short  *rule; 
 
 
/* 
 * N is set of all nonterminals which are not useless.  P is set of all rules 
 * which have no useless nonterminals in their RHS.  V is the set of all 
 * accessible symbols. 
 */ 
 
static BSet     N, P, V, V1; 
 
static int      nuseful_productions, nuseless_productions, 
                nuseful_nonterminals, nuseless_nonterminals; 
 
 
static void useless_nonterminals(); 
static void inaccessable_symbols(); 
static void reduce_grammar_tables(); 
static void print_results(); 
static void print_notices(); 
void dump_grammar(); 
 
extern void fatals (); 
 
 
bool 
bits_equal (L, R, n) 
BSet L; 
BSet R; 
int n; 
{ 
  int i; 
 
  for (i = n - 1; i >= 0; i--) 
    if (L[i] != R[i]) 
      return FALSE; 
  return TRUE; 
} 
 
 
int 
nbits (i) 
unsigned i; 
{ 
  int count = 0; 
 
  while (i != 0) { 
    i ^= (i & -i); 
    ++count; 
  } 
  return count; 
} 
 
 
int 
bits_size (S, n) 
BSet S; 
int n; 
{ 
  int i, count = 0; 
 
  for (i = n - 1; i >= 0; i--) 
    count += nbits(S[i]); 
  return count; 
} 
 
void 
reduce_grammar () 
{ 
  bool reduced; 
 
  /* Allocate the global sets used to compute the reduced grammar */ 
 
  N = NEW2(WORDSIZE(nvars), unsigned); 
  P = NEW2(WORDSIZE(nrules + 1), unsigned); 
  V = NEW2(WORDSIZE(nsyms), unsigned); 
  V1 = NEW2(WORDSIZE(nsyms), unsigned); 
 
  useless_nonterminals(); 
  inaccessable_symbols(); 
 
  reduced = (bool) (nuseless_nonterminals + nuseless_productions > 0); 
 
  if (verboseflag) 
    print_results(); 
 
  if (reduced == FALSE) 
    goto done_reducing; 
 
  print_notices(); 
 
  if (!BITISSET(N, start_symbol - ntokens)) 
    fatals("Start symbol %s does not derive any sentence.", 
	   tags[start_symbol]); 
 
  reduce_grammar_tables(); 
  /* if (verboseflag) { 
     fprintf(foutput, "REDUCED GRAMMAR\n\n"); 
     dump_grammar(); 
     } 
     */ 
 
  /**/ statisticsflag = FALSE; /* someday getopts should handle this */ 
  if (statisticsflag == TRUE) 
    fprintf(stderr, 
	    "reduced %s defines %d terminal%s, %d nonterminal%s\ 
, and %d production%s.\n", infile, 
	    ntokens, (ntokens == 1 ? "" : "s"), 
	    nvars,   (nvars   == 1 ? "" : "s"), 
	    nrules,  (nrules  == 1 ? "" : "s")); 
 
 done_reducing: 
 
  /* Free the global sets used to compute the reduced grammar */ 
 
  FREE(N); 
  FREE(V); 
  FREE(P); 
 
} 
 
/* 
 * Another way to do this would be with a set for each production and then do 
 * subset tests against N, but even for the C grammar the whole reducing 
 * process takes only 2 seconds on my 8Mhz AT. 
 */ 
 
static bool  
useful_production (i, N) 
int  i; 
BSet N; 
{ 
  rule  r; 
  short n; 
 
  /* 
   * A production is useful if all of the nonterminals in its RHS 
   * appear in the set of useful nonterminals. 
   */ 
 
  for (r = &ritem[rrhs[i]]; *r > 0; r++) 
    if (ISVAR(n = *r)) 
      if (!BITISSET(N, n - ntokens)) 
	return FALSE; 
  return TRUE; 
} 
 
 
/* Remember that rules are 1-origin, symbols are 0-origin. */ 
 
static void  
useless_nonterminals () 
{ 
  BSet Np, Ns; 
  int  i, n; 
 
  /* 
   * 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 = NEW2(WORDSIZE(nvars), unsigned); 
 
  /* 
   * 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. 
   */ 
 
  n = 0; 
  while (1) 
    { 
      for (i = WORDSIZE(nvars) - 1; i >= 0; i--) 
	Np[i] = N[i]; 
      for (i = 1; i <= nrules; i++) 
	{ 
	  if (!BITISSET(P, i)) 
	    { 
	      if (useful_production(i, N)) 
		{ 
		  SETBIT(Np, rlhs[i] - ntokens); 
		  SETBIT(P, i); 
		} 
	    } 
	} 
      if (bits_equal(N, Np, WORDSIZE(nvars))) 
	break; 
      Ns = Np; 
      Np = N; 
      N = Ns; 
    } 
  FREE(N); 
  N = Np; 
} 
 
static void  
inaccessable_symbols () 
{ 
  BSet  Vp, Vs, Pp; 
  int   i, n; 
  short t; 
  rule  r; 
 
  /* 
   * 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 = NEW2(WORDSIZE(nsyms), unsigned); 
  Pp = NEW2(WORDSIZE(nrules + 1), unsigned); 
 
  /* If the start symbol isn't useful, then nothing will be useful. */ 
  if (!BITISSET(N, start_symbol - ntokens)) 
    goto end_iteration; 
 
  SETBIT(V, start_symbol); 
 
  n = 0; 
  while (1) 
    { 
      for (i = WORDSIZE(nsyms) - 1; i >= 0; i--) 
	Vp[i] = V[i]; 
      for (i = 1; i <= nrules; i++) 
	{ 
	  if (!BITISSET(Pp, i) && BITISSET(P, i) &&  
	      BITISSET(V, rlhs[i])) 
	    { 
	      for (r = &ritem[rrhs[i]]; *r >= 0; r++) 
		{ 
		  if (ISTOKEN(t = *r) 
		      || BITISSET(N, t - ntokens)) 
		    { 
		      SETBIT(Vp, t); 
		    } 
		} 
	      SETBIT(Pp, i); 
	    } 
	} 
      if (bits_equal(V, Vp, WORDSIZE(nsyms))) 
	{ 
	  break; 
	} 
      Vs = Vp; 
      Vp = V; 
      V = Vs; 
    } 
 end_iteration: 
 
  FREE(V); 
  V = Vp; 
 
  /* Tokens 0, 1, and 2 are internal to Bison.  Consider them useful. */ 
  SETBIT(V, 0);			/* end-of-input token */ 
  SETBIT(V, 1);			/* error token */ 
  SETBIT(V, 2);			/* some undefined token */ 
 
  FREE(P); 
  P = Pp; 
 
  nuseful_productions = bits_size(P, WORDSIZE(nrules + 1)); 
  nuseless_productions = nrules - nuseful_productions; 
 
  nuseful_nonterminals = 0; 
  for (i = ntokens; i < nsyms; i++) 
    if (BITISSET(V, i)) 
      nuseful_nonterminals++; 
  nuseless_nonterminals = nvars - nuseful_nonterminals; 
 
  /* A token that was used in %prec should not be warned about.  */ 
  for (i = 1; i < nrules; i++) 
    if (rprecsym[i] != 0) 
      SETBIT(V1, rprecsym[i]); 
} 
 
static void  
reduce_grammar_tables () 
{ 
/* This is turned off because we would need to change the numbers 
   in the case statements in the actions file.  */ 
#if 0 
  /* remove useless productions */ 
  if (nuseless_productions > 0) 
    { 
      short np, pn, ni, pi; 
 
      np = 0; 
      ni = 0; 
      for (pn = 1; pn <= nrules; pn++) 
	{ 
	  if (BITISSET(P, pn)) 
	    { 
	      np++; 
	      if (pn != np) 
		{ 
		  rlhs[np] = rlhs[pn]; 
		  rline[np] = rline[pn]; 
		  rprec[np] = rprec[pn]; 
		  rassoc[np] = rassoc[pn]; 
		  rrhs[np] = rrhs[pn]; 
		  if (rrhs[np] != ni) 
		    { 
		      pi = rrhs[np]; 
		      rrhs[np] = ni; 
		      while (ritem[pi] >= 0) 
			ritem[ni++] = ritem[pi++]; 
		      ritem[ni++] = -np; 
		    } 
		} else { 
		  while (ritem[ni++] >= 0); 
		} 
	    } 
	} 
      ritem[ni] = 0; 
      nrules -= nuseless_productions; 
      nitems = ni; 
 
      /* 
       * Is it worth it to reduce the amount of memory for the 
       * grammar? Probably not. 
       */ 
 
    } 
#endif /* 0 */ 
  /* Disable useless productions, 
     since they may contain useless nonterms 
     that would get mapped below to -1 and confuse everyone.  */ 
  if (nuseless_productions > 0) 
    { 
      int pn; 
 
      for (pn = 1; pn <= nrules; pn++) 
	{ 
	  if (!BITISSET(P, pn)) 
	    { 
	      rlhs[pn] = -1; 
	    } 
	} 
    } 
 
  /* remove useless symbols */ 
  if (nuseless_nonterminals > 0) 
    { 
 
      int    i, n; 
/*      short  j; JF unused */ 
      short *nontermmap; 
      rule   r; 
 
      /* 
       * create a map of nonterminal number to new nonterminal 
       * number. -1 in the map means it was useless and is being 
       * eliminated. 
       */ 
 
      nontermmap = NEW2(nvars, short) - ntokens; 
      for (i = ntokens; i < nsyms; i++) 
	nontermmap[i] = -1; 
 
      n = ntokens; 
      for (i = ntokens; i < nsyms; i++) 
	if (BITISSET(V, i)) 
	  nontermmap[i] = n++; 
 
      /* Shuffle elements of tables indexed by symbol number.  */ 
 
      for (i = ntokens; i < nsyms; i++) 
	{ 
	  n = nontermmap[i]; 
	  if (n >= 0) 
	    { 
	      sassoc[n] = sassoc[i]; 
	      sprec[n] = sprec[i]; 
	      tags[n] = tags[i]; 
	    } else { 
	      free(tags[i]); 
	    } 
	} 
 
      /* Replace all symbol numbers in valid data structures.  */ 
 
      for (i = 1; i <= nrules; i++) 
	{ 
	  /* Ignore the rules disabled above.  */ 
	  if (rlhs[i] >= 0) 
	    rlhs[i] = nontermmap[rlhs[i]]; 
	  if (ISVAR (rprecsym[i])) 
	    /* Can this happen?  */ 
	    rprecsym[i] = nontermmap[rprecsym[i]]; 
	} 
 
      for (r = ritem; *r; r++) 
	if (ISVAR(*r)) 
	  *r = nontermmap[*r]; 
 
      start_symbol = nontermmap[start_symbol]; 
 
      nsyms -= nuseless_nonterminals; 
      nvars -= nuseless_nonterminals; 
 
      free(&nontermmap[ntokens]); 
    } 
} 
 
static void  
print_results () 
{ 
  int   i; 
/*  short j; JF unused */ 
  rule  r; 
  bool  b; 
 
  if (nuseless_nonterminals > 0) 
    { 
      fprintf(foutput, "Useless nonterminals:\n\n"); 
      for (i = ntokens; i < nsyms; i++) 
	if (!BITISSET(V, i)) 
	  fprintf(foutput, "   %s\n", tags[i]); 
    } 
  b = FALSE; 
  for (i = 0; i < ntokens; i++) 
    { 
      if (!BITISSET(V, i) && !BITISSET(V1, i)) 
	{ 
	  if (!b) 
	    { 
	      fprintf(foutput, "\n\nTerminals which are not used:\n\n"); 
	      b = TRUE; 
	    } 
	  fprintf(foutput, "   %s\n", tags[i]); 
	} 
    } 
 
  if (nuseless_productions > 0) 
    { 
      fprintf(foutput, "\n\nUseless rules:\n\n"); 
      for (i = 1; i <= nrules; i++) 
	{ 
	  if (!BITISSET(P, i)) 
	    { 
	      fprintf(foutput, "#%-4d  ", i); 
	      fprintf(foutput, "%s :\t", tags[rlhs[i]]); 
	      for (r = &ritem[rrhs[i]]; *r >= 0; r++) 
		{ 
		  fprintf(foutput, " %s", tags[*r]); 
		} 
	      fprintf(foutput, ";\n"); 
	    } 
	} 
    } 
  if (nuseless_nonterminals > 0 || nuseless_productions > 0 || b) 
    fprintf(foutput, "\n\n"); 
} 
 
void  
dump_grammar () 
{ 
  int i; 
  rule r; 
 
  fprintf(foutput, 
	  "ntokens = %d, nvars = %d, nsyms = %d, nrules = %d, nitems = %d\n\n", 
	  ntokens, nvars, nsyms, nrules, nitems); 
  fprintf(foutput, "Variables\n---------\n\n"); 
  fprintf(foutput, "Value  Sprec    Sassoc    Tag\n"); 
  for (i = ntokens; i < nsyms; i++) 
    fprintf(foutput, "%5d  %5d  %5d  %s\n", 
	    i, sprec[i], sassoc[i], tags[i]); 
  fprintf(foutput, "\n\n"); 
  fprintf(foutput, "Rules\n-----\n\n"); 
  for (i = 1; i <= nrules; i++) 
    { 
      fprintf(foutput, "%-5d(%5d%5d)%5d : (@%-5d)",  
	      i, rprec[i], rassoc[i], rlhs[i], rrhs[i]); 
      for (r = &ritem[rrhs[i]]; *r > 0; r++) 
	fprintf(foutput, "%5d", *r); 
      fprintf(foutput, " [%d]\n", -(*r)); 
    } 
  fprintf(foutput, "\n\n"); 
  fprintf(foutput, "Rules interpreted\n-----------------\n\n"); 
  for (i = 1; i <= nrules; i++) 
    { 
      fprintf(foutput, "%-5d  %s :", i, tags[rlhs[i]]); 
      for (r = &ritem[rrhs[i]]; *r > 0; r++) 
	fprintf(foutput, " %s", tags[*r]); 
      fprintf(foutput, "\n"); 
    } 
  fprintf(foutput, "\n\n"); 
} 
 
 
static void  
print_notices () 
{ 
  extern int fixed_outfiles; 
 
  if (fixed_outfiles && nuseless_productions) 
    fprintf(stderr, "%d rules never reduced\n", nuseless_productions); 
 
  fprintf(stderr, "%s contains ", infile); 
 
  if (nuseless_nonterminals > 0) 
    { 
      fprintf(stderr, "%d useless nonterminal%s", 
	      nuseless_nonterminals, 
	      (nuseless_nonterminals == 1 ? "" : "s")); 
    } 
  if (nuseless_nonterminals > 0 && nuseless_productions > 0) 
    fprintf(stderr, " and "); 
 
  if (nuseless_productions > 0) 
    { 
      fprintf(stderr, "%d useless rule%s", 
	      nuseless_productions, 
	      (nuseless_productions == 1 ? "" : "s")); 
    } 
  fprintf(stderr, ".\n"); 
  fflush(stderr); 
}