void interactive_pga(Logical group_present,
FILE *StartFile,
int group_nmr,
int ***auts,
struct pga_vars *pga,
struct pcp_vars *pcp)
{
struct pga_vars flag;
int option;
Logical soluble_group = TRUE;
FILE *OutputFile = 0;
FILE *LINK_input = 0;
char *StartName = 0;
int t;
int **perms = 0;
int index;
int **S = 0;
int k;
int K;
int label;
int *a = 0, *b = 0;
char *c = 0;
int *orbit_length = 0;
int nmr_of_exponents;
int *subset = 0;
int alpha;
int upper_step;
int rep;
int i;
list_interactive_pga_menu();
do {
option = read_option(MAX_INTERACTIVE_OPTION);
switch (option) {
case -1:
list_interactive_pga_menu();
break;
case SUPPLY_AUTS:
auts = read_auts(PGA, &pga->m, &nmr_of_exponents, pcp);
#ifdef HAVE_GMP
autgp_order(pga, pcp);
#endif
pga->soluble = TRUE;
start_group(&StartFile, auts, pga, pcp);
break;
case EXTEND_AUTS:
extend_automorphisms(auts, pga->m, pcp);
print_auts(pga->m, pcp->lastg, auts, pcp);
break;
case RESTORE_GP:
StartName = GetString("Enter input file name: ");
StartFile = OpenFileInput(StartName);
if (StartFile != NULL) {
read_value(TRUE, "Which group? ", &group_nmr, 0);
auts = restore_group(TRUE, StartFile, group_nmr, pga, pcp);
RESET(StartFile);
}
break;
case DISPLAY_GP:
print_presentation(FALSE, pcp);
print_structure(1, pcp->lastg, pcp);
print_pcp_relations(pcp);
break;
case SINGLE_STAGE:
t = runTime();
if (group_present && pga->m == 0)
start_group(&StartFile, auts, pga, pcp);
assert(OutputFile);
construct(1,
&flag,
SINGLE_STAGE,
OutputFile,
StartFile,
0,
ALL,
group_nmr,
pga,
pcp);
t = runTime() - t;
printf("Time for intermediate stage is %.2f seconds\n", t * CLK_SCALE);
break;
case DEGREE:
read_step_size(pga, pcp);
read_subgroup_rank(&k);
query_exponent_law(pga);
enforce_laws(pga, pga, pcp);
extend_automorphisms(auts, pga->m, pcp);
step_range(k, &pga->s, &upper_step, auts, pga, pcp);
if (pga->s > upper_step)
printf("Desired step size is invalid for current group\n");
else {
if (pga->s < upper_step) {
printf("The permitted relative step sizes range from %d to %d\n",
pga->s,
upper_step);
read_value(
TRUE, "Input the chosen relative step size: ", &pga->s, 0);
}
store_definition_sets(pga->r, pga->s, pga->s, pga);
get_definition_sets(pga);
pga->print_degree = TRUE;
compute_degree(pga);
pga->print_degree = FALSE;
}
break;
case PERMUTATIONS:
if (pga->Degree != 0) {
t = runTime();
query_solubility(pga);
pga->trace = FALSE;
if (pga->soluble)
query_space_efficiency(pga);
else
pga->space_efficient = FALSE;
query_perm_information(pga);
strip_identities(auts, pga, pcp);
soluble_group =
(pga->soluble || pga->Degree == 1 || pga->nmr_of_perms == 0);
if (!soluble_group) {
#if defined(GAP_LINK)
StartGapFile(pga);
#else
#if defined(GAP_LINK_VIA_FILE)
start_GAP_file(&LINK_input, auts, pga, pcp);
#endif
#endif
}
perms = permute_subgroups(LINK_input, &a, &b, &c, auts, pga, pcp);
#if defined(GAP_LINK_VIA_FILE)
if (!soluble_group)
CloseFile(LINK_input);
#endif
t = runTime() - t;
printf("Time to compute permutations is %.2f seconds\n",
t * CLK_SCALE);
} else
printf("You must first select option %d\n", DEGREE);
break;
case ORBITS:
orbit_option(option, perms, &a, &b, &c, &orbit_length, pga);
break;
case STABILISERS:
case STABILISER:
assert(perms);
stabiliser_option(
option, auts, perms, a, b, c, orbit_length, pga, pcp);
/*
free_space (pga->soluble, perms, orbit_length,
a, b, c, pga);
*/
break;
case MATRIX_TO_LABEL:
S = allocate_matrix(pga->s, pga->q, 0, FALSE);
subset = allocate_vector(pga->s, 0, FALSE);
printf("Input the %d x %d subgroup matrix:\n", pga->s, pga->q);
read_matrix(S, pga->s, pga->q);
K = echelonise_matrix(S, pga->s, pga->q, pga->p, subset, pga);
printf("The standard matrix is:\n");
print_matrix(S, pga->s, pga->q);
printf("The label is %d\n", subgroup_to_label(S, K, subset, pga));
free_vector(subset, 0);
break;
case LABEL_TO_MATRIX:
read_value(TRUE, "Input allowable subgroup label: ", &label, 1);
S = label_to_subgroup(&index, &subset, label, pga);
printf("The corresponding standard matrix is\n");
print_matrix(S, pga->s, pga->q);
break;
case IMAGE:
t = runTime();
/*
invert_automorphisms (auts, pga, pcp);
print_auts (pga->m, pcp->lastg, auts, pcp);
*/
printf("Input the subgroup label and automorphism number: ");
read_value(TRUE, "", &label, 1);
read_value(FALSE, "", &alpha, 1);
printf("Image is %d\n", find_image(label, auts[alpha], pga, pcp));
t = runTime() - t;
printf("Computation time in seconds is %.2f\n", t * CLK_SCALE);
break;
case SUBGROUP_RANK:
read_subgroup_rank(&k);
printf("Closure of initial segment subgroup has rank %d\n",
close_subgroup(k, auts, pga, pcp));
break;
case ORBIT_REP:
printf("Input label for subgroup: ");
read_value(TRUE, "", &label, 1);
rep = abs(a[label]);
for (i = 1; i <= pga->nmr_orbits && pga->rep[i] != rep; ++i)
;
printf("Subgroup with label %d has representative %d and is in orbit "
"%d\n",
label,
rep,
i);
break;
case COMPACT_DESCRIPTION:
Compact_Description = TRUE;
read_value(TRUE,
"Lower bound for order (0 for all groups generated)? ",
&Compact_Order,
0);
break;
case AUT_CLASSES:
t = runTime();
permute_elements();
t = runTime() - t;
printf("Time to compute orbits is %.2f seconds\n", t * CLK_SCALE);
break;
/*
printf ("Input label: ");
scanf ("%d", &l);
process_complete_orbit (a, l, pga, pcp);
break;
case TEMP:
printf ("Input label: ");
scanf ("%d", &l);
printf ("Input label: ");
scanf ("%d", &u);
for (i = l; i <= u; ++i) {
x = IsValidAllowableSubgroup (i, pga);
printf ("%d is %d\n", i, x);
}
StartName = GetString ("Enter output file name: ");
OutputFile = OpenFileOutput (StartName);
part_setup_reps (pga->rep, pga->nmr_orbits, orbit_length, perms, a, b,
c,
auts, OutputFile, OutputFile, pga, pcp);
list_word (pga, pcp);
read_value (TRUE, "Input the rank of the subgroup: ", &pga->q, 1);
strip_identities (auts, pga, pcp);
break;
*/
case EXIT:
case MAX_INTERACTIVE_OPTION:
printf("Exiting from interactive p-group generation menu\n");
break;
} /* switch */
} while (option != 0 && option != MAX_INTERACTIVE_OPTION);
#if defined(GAP_LINK)
if (!soluble_group)
QuitGap();
#endif
}
int reduced_covers (FILE *descendant_file, FILE *covers_file, int k, int ***auts, struct pga_vars *pga, struct pcp_vars *pcp)
{
int lower_step, upper_step;
int nmr_of_covers = 0;
int *a, *b; /* arrays needed for orbit calculation */
char *c; /* array needed for stabiliser calculation */
int **perms; /* store all permutations */
int *orbit_length; /* length of orbits */
FILE * LINK_input; /* input file for GAP */
#if defined (GAP_LINK)
Logical process_fork = FALSE; /* has GAP process forked? */
#endif
Logical soluble_group; /* indicates that orbits and stabilisers may
be computed using soluble machinery */
/* calculate the extended automorphisms */
extend_automorphisms (auts, pga->m, pcp);
if (pcp->overflow) return 0;
if (pga->print_extensions && pga->m != 0) {
printf ("\nThe extension%s:\n", pga->m == 1 ? " is" : "s are");
print_auts (pga->m, pcp->lastg, auts, pcp);
}
/* find range of permitted step sizes */
step_range (k, &lower_step, &upper_step, auts, pga, pcp);
/* set up space for definition sets */
store_definition_sets (pga->r, lower_step, upper_step, pga);
/* loop over each permitted step size */
for (pga->s = lower_step; pga->s <= upper_step; ++pga->s) {
if (pga->trace)
trace_details (pga);
get_definition_sets (pga);
compute_degree (pga);
/* establish which automorphisms induce the identity
on the relevant subgroup of the p-multiplicator */
strip_identities (auts, pga, pcp);
/* if possible, use the more efficient soluble code --
in particular, certain extreme cases can be handled */
soluble_group = (pga->soluble || pga->Degree == 1 ||
pga->nmr_of_perms == 0);
if (!soluble_group) {
#if defined (GAP_LINK)
if (!process_fork) {
start_GAP_file (auts, pga);
process_fork = TRUE;
}
StartGapFile (pga);
#else
#if defined (GAP_LINK_VIA_FILE)
start_GAP_file (&LINK_input, auts, pga, pcp);
#endif
#endif
}
perms = permute_subgroups (LINK_input, &a, &b, &c, auts, pga, pcp);
if (!pga->space_efficient) {
if (soluble_group)
compute_orbits (&a, &b, &c, perms, pga);
else
insoluble_compute_orbits (&a, &b, &c, perms, pga);
}
orbit_length = find_orbit_reps (a, b, pga);
if (pga->print_orbit_summary)
orbit_summary (orbit_length, pga);
if (soluble_group && pga->print_orbit_arrays)
print_orbit_information (a, b, c, pga);
pga->final_stage = (pga->q == pga->multiplicator_rank);
if (!soluble_group) {
#if defined (GAP_LINK_VIA_FILE)
CloseFile (LINK_input);
#endif
}
setup_reps (pga->rep, pga->nmr_orbits, orbit_length, perms, a, b, c,
auts, descendant_file, covers_file, pga, pcp);
if (!pga->final_stage)
nmr_of_covers += pga->nmr_orbits;
free_space (soluble_group, perms, orbit_length,
a, b, c, pga);
}
#if defined (GAP_LINK)
if (process_fork)
QuitGap ();
#endif
free_vector (pga->list, 0);
free_vector (pga->available, 0);
free_vector (pga->offset, 0);
return nmr_of_covers;
}
