groups.h

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#ifndef QPMS_GROUPS_H
#define QPMS_GROUPS_H
 
#include "qpms_types.h"
#include <assert.h>
 
struct qpms_finite_group_irrep_t {
    int dim; 
    char *name; 
 
    complex double *m; 
};
 
 
typedef struct qpms_finite_group_t {
    char *name;
    qpms_gmi_t order; 
    qpms_gmi_t idi; 
    qpms_gmi_t *mt; 
    qpms_gmi_t *invi; 
    qpms_gmi_t *gens; 
    int ngens; 
    qpms_permutation_t *permrep; 
    char **elemlabels; 
    int permrep_nelem; 
    struct qpms_irot3_t *rep3d; 
    qpms_iri_t nirreps; 
    struct qpms_finite_group_irrep_t *irreps; 
} qpms_finite_group_t;
 
static inline qpms_gmi_t qpms_finite_group_mul(const qpms_finite_group_t *G,
        qpms_gmi_t a, qpms_gmi_t b) {
    assert(a < G->order);
    assert(b < G->order);
    return G->mt[G->order * a + b];
}
 
static inline qpms_gmi_t qpms_finite_group_inv(const qpms_finite_group_t *G,
        qpms_gmi_t a) {
    assert(a < G->order);
    return G->invi[a];
}
 
static inline _Bool qpms_iri_is_valid(const qpms_finite_group_t *G, qpms_iri_t iri) {
    return (iri > G->nirreps || iri < 0) ? 0 : 1;
}
 
 
 
qpms_iri_t qpms_finite_group_find_irrep_by_name(qpms_finite_group_t *G, char *name);
 
extern const qpms_finite_group_t QPMS_FINITE_GROUP_TRIVIAL;
extern const qpms_finite_group_t QPMS_FINITE_GROUP_TRIVIAL_G;
 
#endif // QPMS_GROUPS_H