/* gpgeowa.c 15/4/96. * 28/10/98 -n option: output a new 2-variable automaton near_geopairs * together with associated difference-machine near_geodiff, * which accepts all pairs of geodesics which end at distance at most * one apart. This is formed by composing with the generalised * multiplier. * 29/9/98 large-scale re-organisation. Abolish almost all global variables * and make them components of the rws structure. * * 5/2/98 change generators from type char to type `gen'. * SYNOPSIS: * gpgeowa [-op1 d/s] [-op2 d/s] [-silent] [-v] [-l/-h] [-f] [-diff1/-diff2] * [-me maxeqns] [-mwd maxwdiffs] [-n] groupname * * Input is from groupname.wa and groupname.diff2 (or groupname.diff1) * Output is to groupname.geowa, groupname.geodiff and groupname.geopairs * Also, a temporary updated diff file for geodesic reduction to * shortlex word representative will be output to groupname.tdiff. * * OPTIONS: * -op1 d/s output of geowa machine in dense or sparse format - * dense is default * -op2 d/s output of geodiff and geopairs machines in dense or sparse * format - sparse is default * -v verbose * -silent no diagnostics * -l/-h large/huge hash-tables (for big examples) * -f read the transition table repeatedly from file while mimimizing. * this avoids storing the large table, but is a little slower. * -diff1/diff2 take input from groupname.diff1 or groupname.diff2 * (diff2 is default). Latter is usually better. * -me maxeqns Abort the geodesic word-acceptor checking process after finding * maxeqns offending words w - default is MAXEQNS * -mwd maxwdiffs * At most maxwdiffs word-differences possible in tdiff machine. * -n output a new 2-variable automaton near_geopairs * together with associated difference-machine near_geodiff, *
*/
/* First read in the second-word difference machine for word-reduction */
tmalloc(rs_wd.wd_fsa, fsa, 1); if ((rfile = fopen(inf2, "r")) == 0) {
fprintf(stderr, "Cannot open file %s.\n", inf2); exit(1);
}
fsa_read(rfile, rs_wd.wd_fsa, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile);
ngens = rs_wd.wd_fsa->alphabet->base->size; if (fsa_table_dptr_init(rs_wd.wd_fsa) == -1) exit(1);
reduce_word = diff_reduce;
if (!diff1_ip) { /* Write this fsa to the temporary file as first approximation to *tdiffptr
*/
base_prefix(fsaname);
strcat(fsaname, ".tdiff");
wfile = fopen(outf4, "w");
fsa_print(wfile, rs_wd.wd_fsa, fsaname);
fclose(wfile);
}
/* Now start the loop to calculate the correct geowaptr and tdiffptr */
ct = 0; while (1) {
ct++; /* Read in word-acceptor. */ if ((rfile = fopen(inf1, "r")) == 0) {
fprintf(stderr, "Cannot open file %s.\n", inf1); exit(1);
}
fsa_read(rfile, waptr, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile); if (ct > 1) { /* Re-read in tdiffptr */
rfile = fopen(outf4, "r");
fsa_read(rfile, tdiffptr, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile);
} else { /* The first approximation to *tdiffptr is the diff2 machine which we * have already read in as *wd_fsa, so we copy it.
*/
fsa_copy(tdiffptr, rs_wd.wd_fsa);
}
geopairsptr =
fsa_geopairs(waptr, tdiffptr, op_store2, TRUE, tempfilename, readback); if (geopairsptr == 0) exit(1); if (kbm_print_level > 1)
printf(" #Number of states of geopairs before minimisation = %d.\n",
geopairsptr->states->size); if (readback) { if (fsa_minimize(geopairsptr) == -1) exit(1);
} else { if (fsa_ip_minimize(geopairsptr) == -1) exit(1);
} if (kbm_print_level > 1)
printf(" #Number of states of geopairs after minimisation = %d.\n",
geopairsptr->states->size);
/* Next we form the updated *geowaptr. We read *geopairsptr back in again * (since the table format required is usually different).
*/
rfile = fopen(outf2, "r");
fsa_read(rfile, geopairsptr, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile);
geowaptr = fsa_exists(geopairsptr, op_store1, TRUE, tempfilename); if (geowaptr == 0) exit(1); if (kbm_print_level > 1)
printf(" #Number of states of geowa before minimisation = %d.\n",
geowaptr->states->size);
/* We will make the language prefix closed, then output if (geowaptr->states->size > 1) { tfree(geowaptr->accepting); geowaptr->num_accepting=geowaptr->states->size; }
*/
if (fsa_minimize(geowaptr) == -1) exit(1); if (kbm_print_level > 1)
printf(" #Number of states of geowa after minimisation = %d.\n",
geowaptr->states->size);
base_prefix(fsaname);
strcat(fsaname, ".geowa");
wfile = fopen(outf1, "w");
fsa_print(wfile, geowaptr, fsaname);
fclose(wfile);
fsa_clear(geowaptr);
/* Now we read *geowaptr and *tdiffptr back in for the correctness * test on the former.
*/
rfile = fopen(outf1, "r");
fsa_read(rfile, geowaptr, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile);
rfile = fopen(outf4, "r");
fsa_read(rfile, tdiffptr, DENSE, 0, maxwdiffs, TRUE, fsaname);
fclose(rfile);
numeqns = fsa_checkgeowa(geowaptr, tdiffptr, eqnptr, maxeqns); if (numeqns == -1) exit(1); if (numeqns == 0) { if (kbm_print_level > 0)
printf("#Geodesic word-acceptor with %d states computed.\n",
geowaptr->states->size);
fsa_clear(geowaptr);
fsa_clear(tdiffptr); break; /* Correctness test passed */
} else {
fsa_clear(geowaptr); /* We are going to reduce the words returned to their shortlex normal * form, then adjoin the associated word-differences to *tdiffptr.
*/
tfree(geowaptr);
tfree(geopairsptr); if (kbm_print_level > 1)
printf(" #Updating geodesic word-difference machine.\n");
old_ndiff = tdiffptr->states->size; if (calculate_inverses(&inv, ngens, &rs_wd) == -1) exit(1); for (i = 0; i < numeqns; i++) {
tmalloc(eqnptr[i].rhs, gen, genstrlen(eqnptr[i].lhs) + 1);
genstrcpy(eqnptr[i].rhs, eqnptr[i].lhs);
reduce_word(eqnptr[i].rhs, &rs_wd); if (add_wd_fsa(tdiffptr, eqnptr + i, inv, TRUE, &rs_wd) == -1) exit(1);
tfree(eqnptr[i].lhs) tfree(eqnptr[i].rhs)
} if (make_full_wd_fsa(tdiffptr, inv, old_ndiff + 1, &rs_wd) == -1) exit(1);
tfree(inv); if (kbm_print_level > 1)
printf(" #Geodesic word-difference machine now has %d states.\n",
tdiffptr->states->size);
base_prefix(fsaname);
strcat(fsaname, ".tdiff");
wfile = fopen(outf4, "w");
fsa_print(wfile, tdiffptr, fsaname);
fclose(wfile);
fsa_clear(tdiffptr);
}
}
tfree(waptr);
tfree(geowaptr);
tfree(tdiffptr);
/* The current *geopairsptr accepts (w1,w2) if w1=w2, w1 and w2 are * geodesics, and w2 is accepted by the word-acceptor. * To get it to accept ALL pairs of equal geodesics, we form the * composite of itself with its transpose.
*/
tmalloc(gpp, fsa, 1);
tmalloc(tgpp, fsa, 1);
rfile = fopen(outf2, "r");
fsa_read(rfile, gpp, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile);
fsa_copy(tgpp, gpp); if (fsa_swap_coords(tgpp) == -1) exit(1);
tfree(geopairsptr);
geopairsptr =
fsa_composite(gpp, tgpp, op_store2, FALSE, tempfilename, readback); if (geopairsptr == 0) exit(1); if (kbm_print_level > 1)
printf(" #Number of states of final geopairs before minimisation = %d.\n",
geopairsptr->states->size); if (readback) { if (fsa_minimize(geopairsptr) == -1) exit(1);
} else { if (fsa_ip_minimize(geopairsptr) == -1) exit(1);
} if (kbm_print_level > 1)
printf(" #Number of states of final geopairs after minimisation = %d.\n",
geopairsptr->states->size); if (kbm_print_level > 0)
printf("#Geodesic pairs machine with %d states computed.\n",
geopairsptr->states->size);
/* Now form the geodesic word-difference machine */
rfile = fopen(outf2, "r");
fsa_read(rfile, geopairsptr, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile);
geodiffptr = fsa_diff(geopairsptr, &rs_wd, op_store2);
fsa_clear(geopairsptr);
tfree(geopairsptr);
base_prefix(fsaname);
strcat(fsaname, ".geodiff");
wfile = fopen(outf3, "w");
fsa_print(wfile, geodiffptr, fsaname);
fclose(wfile); if (kbm_print_level > 0)
printf("#Geodesic difference machine with %d states computed.\n",
geodiffptr->states->size);
fsa_clear(geodiffptr);
tfree(geodiffptr); if (!near_machine) {
fsa_clear(gpp);
tfree(gpp);
fsa_clear(tgpp);
tfree(tgpp);
fsa_clear(rs_wd.wd_fsa);
tfree(rs_wd.wd_fsa);
tfree(eqnptr); exit(0);
}
/* Finally, we form near_geopairs, which accepts pairs of geodesics * that finish distance at most one apart. To do this we form the * composite gpp * gm * tgpp.
*/
rfile = fopen(inf3, "r");
tmalloc(gmptr, fsa, 1);
fsa_read(rfile, gmptr, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile); /* first compose gpp with gm */
geopairsptr =
fsa_composite(gpp, gmptr, op_store2, TRUE, tempfilename, readback); if (geopairsptr == 0) exit(1);
tfree(gpp);
tfree(gmptr); if (kbm_print_level > 1)
printf(" #Number of states of first composite = %d.\n",
geopairsptr->states->size); if (readback) { if (fsa_minimize(geopairsptr) == -1) exit(1);
} else { if (fsa_ip_minimize(geopairsptr) == -1) exit(1);
} if (kbm_print_level > 1)
printf(" #Number of states of first composite after minimisation = %d.\n",
geopairsptr->states->size);
/* write *geopairsptr and re-read to get dense storage type */
base_prefix(fsaname);
strcat(fsaname, ".near_geopairs");
wfile = fopen(outf5, "w");
fsa_print(wfile, geopairsptr, fsaname);
fclose(wfile);
fsa_clear(geopairsptr);
rfile = fopen(outf5, "r");
fsa_read(rfile, geopairsptr, DENSE, 0, 0, TRUE, fsaname);
fclose(rfile);
/* now compose result with tggp */
gpp =
fsa_composite(geopairsptr, tgpp, op_store2, TRUE, tempfilename, readback);
tfree(geopairsptr);
tfree(tgpp); if (gpp == 0) exit(1); if (kbm_print_level > 1)
printf(" #Number of states of near geopairs before minimisation = %d.\n",
gpp->states->size);
/* write *gpp and re-read to get dense storage type */ /* wfile = fopen(outf5,"w"); fsa_print(wfile,gpp,fsaname); fclose(wfile); fsa_clear(gpp); rfile=fopen(outf5,"r"); fsa_read(rfile,gpp,DENSE,0,0,TRUE,fsaname); fclose(rfile);
*/
/* Form the near geodesic word-difference machine */ /* geodiffptr=fsa_diff(gpp,&rs_wd,op_store2); base_prefix(fsaname); strcat(fsaname,".near_geodiff"); wfile = fopen(outf6,"w"); fsa_print(wfile,geodiffptr,fsaname); fclose(wfile); if (kbm_print_level>0) printf("#Geodesic difference machine with %d states computed.\n", geodiffptr->states->size); fsa_clear(geodiffptr); tfree(geodiffptr);
*/
if (readback) { if (fsa_minimize(gpp) == -1) exit(1);
} else { if (fsa_ip_minimize(gpp) == -1) exit(1);
} if (kbm_print_level > 1)
printf(" #Number of states of near geopairs after minimisation = %d.\n",
gpp->states->size); if (kbm_print_level > 0)
printf("#Geodesic near pairs machine with %d states computed.\n",
gpp->states->size);
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