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enumerate-balanced-ideals
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This commit is contained in:
Florian Stecker 2016-12-10 14:36:44 +01:00
parent 1c65abd735
commit fc4ee42646
1 changed files with 67 additions and 57 deletions
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124
thickenings.c
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@ -631,7 +631,7 @@ typedef struct {
*/
static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos, const bitvec_t *neg, int next_neg, int already_known)
static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos, const bitvec_t *neg, int next_neg, int already_known, int level)
{
static long totcount = 0;
bitvec_t newpos, newneg, known;
@ -676,13 +676,76 @@ static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos,
}
do {
count += enumerate_tree(info, &newpos, &newneg, next_next_neg, next_neg + 1);
count += enumerate_tree(info, &newpos, &newneg, next_next_neg, next_neg + 1, level + 1);
next_next_neg = bv_next_zero(&known, next_next_neg + 1);
} while(next_next_neg <= info->size/2);
// multiprocessing stuff
// if(level == 3)
// fprintf(stderr, "%d\n", count);
return count;
}
void generate_principal_ideals(node_t *graph, int size, bitvec_t *pos, bitvec_t *neg, int *is_slim)
{
queue_t queue;
int current;
edgelist_t *edge;
// generate principal ideals
int *principal = (int*)malloc(size*sizeof(int));
for(int i = 0; i < size; i++) {
memset(principal, 0, size*sizeof(int));
principal[i] = 1;
queue_init(&queue);
queue_put(&queue, i);
while((current = queue_get(&queue)) != -1)
for(edge = graph[current].bruhat_lower; edge; edge = edge->next)
if(!principal[edge->to]) {
principal[edge->to] = 1;
queue_put(&queue, edge->to);
}
// copy the first half into bitvectors
bv_clear(&pos[i]);
bv_clear(&neg[i]);
is_slim[i] = 1;
for(int j = 0; j < size/2; j++)
if(principal[j])
bv_set_bit(&pos[i], j);
for(int j = 0; j < size/2; j++)
if(principal[size - 1 - j]) {
bv_set_bit(&neg[i], j);
if(bv_get_bit(&pos[i], j))
is_slim[i] = 0;
}
#ifdef _DEBUG
if(is_slim[i]) {
fprintf(stderr, " ids: [0");
for(int j = 1; j < size; j++)
if(principal[j])
fprintf(stderr, ", %d", graph[j].id);
fprintf(stderr, "]\n");
}
#endif
}
free(principal);
// output principal ideals
#ifdef _DEBUG
for(int i = 0; i < size; i++) {
fprintf(stderr, "%2d: ", i);
bv_print_nice(stderr, &pos[i], &neg[i], -1, size/2);
fprintf(stderr, "\n");
}
fprintf(stderr,"\n");
#endif
}
/*
enumerates all balanced ideals
@ -696,12 +759,8 @@ static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos,
long enumerate_balanced_thickenings(node_t *graph, int size, void (*callback) (const bitvec_t *, int, void*), void *callback_data)
{
signed char *level;
long count = 0;
enumeration_info_t info;
queue_t queue;
int current;
edgelist_t *edge;
info.size = size;
info.callback = callback;
@ -720,63 +779,14 @@ long enumerate_balanced_thickenings(node_t *graph, int size, void (*callback) (c
if(info.size > 128*BV_QWORD_RANK)
return -1;
// generate principal ideals
int *principal = (int*)malloc(info.size*sizeof(int));
for(int i = 0; i < info.size; i++) {
memset(principal, 0, info.size*sizeof(int));
principal[i] = 1;
queue_init(&queue);
queue_put(&queue, i);
while((current = queue_get(&queue)) != -1)
for(edge = graph[current].bruhat_lower; edge; edge = edge->next)
if(!principal[edge->to]) {
principal[edge->to] = 1;
queue_put(&queue, edge->to);
}
// copy the first half into bitvectors
bv_clear(&info.principal_pos[i]);
bv_clear(&info.principal_neg[i]);
info.principal_is_slim[i] = 1;
for(int j = 0; j < info.size/2; j++)
if(principal[j])
bv_set_bit(&info.principal_pos[i], j);
for(int j = 0; j < info.size/2; j++)
if(principal[info.size - 1 - j]) {
bv_set_bit(&info.principal_neg[i], j);
if(bv_get_bit(&info.principal_pos[i], j))
info.principal_is_slim[i] = 0;
}
#ifdef _DEBUG
if(info.principal_is_slim[i]) {
fprintf(stderr, " ids: [0");
for(int j = 1; j < info.size; j++)
if(principal[j])
fprintf(stderr, ", %d", graph[j].id);
fprintf(stderr, "]\n");
}
#endif
}
free(principal);
// output principal ideals
#ifdef _DEBUG
for(int i = 0; i < info.size; i++) {
fprintf(stderr, "%2d: ", i);
bv_print_nice(stderr, &info.principal_pos[i], &info.principal_neg[i], -1, info.size/2);
fprintf(stderr, "\n");
}
fprintf(stderr,"\n");
#endif
generate_principal_ideals(graph, size, info.principal_pos, info.principal_neg, info.principal_is_slim);
// enumerate balanced ideals
bitvec_t pos, neg;
bv_clear(&pos);
bv_clear(&neg);
for(int i = 0; i <= info.size/2; i++)
count += enumerate_tree(&info, &pos, &neg, i, 0);
count += enumerate_tree(&info, &pos, &neg, i, 0, 0);
free(info.principal_is_slim);
free(info.principal_pos);