#ifndef COXETER_H
#define COXETER_H

typedef struct {
  char series;
  int rank;
} simple_type_t;

typedef struct {
  int n;
  simple_type_t *factors;
} semisimple_type_t;

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);
unsigned long opposition_involution(semisimple_type_t type, unsigned long theta);

#endif