#ifndef WEYL_H
#define WEYL_H

#include <inttypes.h>

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

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

typedef uint64_t weylid_t;

typedef struct {
  int *left;
  int *right;
  int opposite;
  weylid_t id;
} weylgroup_element_t;

int weyl_rank(semisimple_type_t type);
int weyl_order(semisimple_type_t type);
int weyl_hyperplanes(semisimple_type_t type);
void weyl_cartan_matrix(semisimple_type_t type, int *m);
int weyl_opposition(semisimple_type_t type, int simple_root);

weylgroup_element_t *weyl_alloc(semisimple_type_t type);
void weyl_free(weylgroup_element_t *x);

void weyl_generate(semisimple_type_t type, weylgroup_element_t *group);

#endif