florian/enumerate-balanced-ideals
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bugs in transitive reduction?

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This commit is contained in:
Florian Stecker 2016-10-29 14:47:55 +02:00
parent 241065565d
commit 68bc766f92
4 changed files with 40 additions and 5 deletions
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33
coxeter.c
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@ -144,6 +144,38 @@ int coxeter_order(semisimple_type_t type)
return order;
}
int coxeter_hyperplanes(semisimple_type_t type)
{
int hyperplanes = 0;
for(int i = 0; i < type.n; i++) {
if(type.factors[i].series == 'A') // rank*(rank+1)/2
hyperplanes += (type.factors[i].rank * (type.factors[i].rank + 1)) / 2;
else if(type.factors[i].series == 'B' || type.factors[i].series == 'C') // rank * rank
hyperplanes += type.factors[i].rank * type.factors[i].rank;
else if(type.factors[i].series == 'D') // rank * (rank - 1)
hyperplanes += type.factors[i].rank * (type.factors[i].rank - 1);
else if(type.factors[i].series == 'E') {
if(type.factors[i].rank == 6)
hyperplanes += 36;
else if(type.factors[i].rank == 7)
hyperplanes += 63;
else if(type.factors[i].rank == 8)
hyperplanes += 120;
else
ERROR(1, "A Coxeter group of type %c%d does not exist or is not implemented!\n", type.factors[i].series, type.factors[i].rank);
} else if(type.factors[i].series == 'F') {
ERROR(type.factors[i].rank != 4, "A Coxeter group of type %c%d does not exist or is not implemented!\n", type.factors[i].series, type.factors[i].rank);
hyperplanes += 24;
} else if(type.factors[i].series == 'G') {
ERROR(type.factors[i].rank != 2, "A Coxeter group of type %c%d does not exist or is not implemented!\n", type.factors[i].series, type.factors[i].rank);
hyperplanes += 6;
} else {
ERROR(1, "A Coxeter group of type %c%d does not exist or is not implemented!\n", type.factors[i].series, type.factors[i].rank);
}
}
return hyperplanes;
}
static void generate_starting_vector(int rank, gsl_matrix *schlaefli, gsl_vector *result)
{
gsl_matrix *schlaefliLU = gsl_matrix_alloc(rank, rank);
@ -179,7 +211,6 @@ void generate_coxeter_graph(semisimple_type_t type, int *result)
queue_t queue;
int current;
for(int i = 0; i < rank; i++)
generators[i] = gsl_matrix_view_array(generators_data + i*rank*rank, rank, rank).matrix;
for(int i = 0; i < order; i++)

1
coxeter.h
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@ -13,6 +13,7 @@ typedef struct {
void generate_coxeter_graph(semisimple_type_t type, int *result);
int coxeter_order(semisimple_type_t type);
int coxeter_hyperplanes(semisimple_type_t type);
int coxeter_rank(semisimple_type_t type);
#endif

5
generate.c
View File

@ -52,10 +52,7 @@ int main(int argc, const char *argv[])
// print stuff
int hyperplane_count = 0;
for(int i = 0; i < order; i++)
if(graph[i].is_hyperplane_reflection)
hyperplane_count++;
int hyperplane_count = coxeter_hyperplanes(type);
fprintf(stderr, "Rank: %d\t\tOrder: %d\t\tHyperplanes: %d\n", rank, order, hyperplane_count);
fprintf(stderr, "\n");

6
thickenings.c
View File

@ -12,6 +12,12 @@
char *alphabetize(int *word, int len, const char *alphabet, char *buffer)
{
if(len == 0) {
buffer[0] = '1';
buffer[1] = 0;
return buffer;
}
int i = 0;
for(i = 0; i < len; i++)
buffer[i] = alphabet[word[i]];