static Symmetry * get_refined_symmetry_operations(SPGCONST Cell * cell,
SPGCONST Cell * primitive,
SPGCONST Spacegroup * spacegroup,
const double symprec)
{
int t_mat_int[3][3];
int frame[3];
double inv_mat[3][3], t_mat[3][3];
Symmetry *conv_sym, *prim_sym, *symmetry;
/* Primitive symmetry from database */
conv_sym = get_db_symmetry(spacegroup->hall_number);
set_translation_with_origin_shift(conv_sym, spacegroup->origin_shift);
mat_inverse_matrix_d3(inv_mat, primitive->lattice, symprec);
mat_multiply_matrix_d3(t_mat, inv_mat, spacegroup->bravais_lattice);
prim_sym = get_primitive_db_symmetry(t_mat, conv_sym, symprec);
/* Input cell symmetry from primitive symmetry */
mat_inverse_matrix_d3(inv_mat, primitive->lattice, symprec);
mat_multiply_matrix_d3(t_mat, inv_mat, cell->lattice);
mat_cast_matrix_3d_to_3i(t_mat_int, t_mat);
get_surrounding_frame(frame, t_mat_int);
symmetry = reduce_symmetry_in_frame(frame,
prim_sym,
t_mat_int,
cell->lattice,
cell->size / primitive->size,
symprec);
/* sym_free_symmetry(f_sym); */
sym_free_symmetry(prim_sym);
sym_free_symmetry(conv_sym);
return symmetry;
}
static Cell * refine_cell(SPGCONST Cell * cell,
const double symprec)
{
int *wyckoffs, *equiv_atoms;
double tolerance;
Cell *primitive, *bravais, *conv_prim;
Symmetry *conv_sym;
Spacegroup spacegroup;
debug_print("refine_cell:\n");
primitive = prm_get_primitive(cell, symprec);
if (primitive->size == 0) {
cel_free_cell(primitive);
bravais = cel_alloc_cell(0);
goto end;
}
tolerance = prm_get_current_tolerance();
spacegroup = spa_get_spacegroup_with_primitive(primitive, tolerance);
wyckoffs = (int*)malloc(sizeof(int) * primitive->size);
equiv_atoms = (int*)malloc(sizeof(int) * primitive->size);
conv_prim = get_bravais_exact_positions_and_lattice(wyckoffs,
equiv_atoms,
&spacegroup,
primitive,
tolerance);
free(equiv_atoms);
equiv_atoms = NULL;
free(wyckoffs);
wyckoffs = NULL;
conv_sym = get_db_symmetry(spacegroup.hall_number);
bravais = expand_positions(conv_prim, conv_sym);
debug_print("primitive cell in refine_cell:\n");
debug_print_matrix_d3(primitive->lattice);
debug_print("conventional lattice in refine_cell:\n");
debug_print_matrix_d3(conv_prim->lattice);
debug_print("bravais lattice in refine_cell:\n");
debug_print_matrix_d3(bravais->lattice);
cel_free_cell(conv_prim);
sym_free_symmetry(conv_sym);
cel_free_cell(primitive);
end: /* Return bravais->size = 0, if the bravais could not be found. */
return bravais;
}
static Cell * refine_cell( SPGCONST Cell * cell,
const double symprec )
{
int *mapping_table, *wyckoffs, *equiv_atoms;
Cell *primitive, *bravais, *conv_prim;
Symmetry *conv_sym;
VecDBL *pure_trans;
Spacegroup spacegroup;
pure_trans = sym_get_pure_translation( cell, symprec );
mapping_table = (int*) malloc( sizeof(int) * cell->size );
primitive = prm_get_primitive( mapping_table, cell, pure_trans, symprec );
free( mapping_table );
mapping_table = NULL;
if ( primitive->size == -1 ) {
cel_free_cell( primitive );
bravais = cel_alloc_cell( -1 );
goto ret;
}
spacegroup = spa_get_spacegroup_with_primitive( primitive, symprec );
wyckoffs = (int*)malloc( sizeof( int ) * primitive->size );
equiv_atoms = (int*)malloc( sizeof( int ) * primitive->size );
conv_prim = get_bravais_exact_positions_and_lattice( wyckoffs,
equiv_atoms,
&spacegroup,
primitive,
symprec );
free( equiv_atoms );
equiv_atoms = NULL;
free( wyckoffs );
wyckoffs = NULL;
conv_sym = get_db_symmetry( spacegroup.hall_number );
bravais = expand_positions( conv_prim, conv_sym );
cel_free_cell( conv_prim );
sym_free_symmetry( conv_sym );
cel_free_cell( primitive );
ret:
/* Return bravais->size = -1, if the bravais could not be found. */
return bravais;
}
/* Only the atoms corresponding to those in primitive are returned. */
static Cell * get_bravais_exact_positions_and_lattice(int * wyckoffs,
int * equiv_atoms,
SPGCONST Spacegroup *spacegroup,
SPGCONST Cell * primitive,
const double symprec)
{
int i;
Symmetry *conv_sym;
Cell *bravais;
VecDBL *exact_positions;
/* Positions of primitive atoms are represented wrt Bravais lattice */
bravais = get_conventional_primitive(spacegroup, primitive);
/* Symmetries in database (wrt Bravais lattice) */
conv_sym = get_db_symmetry(spacegroup->hall_number);
/* Lattice vectors are set. */
get_conventional_lattice(bravais->lattice,
spacegroup->holohedry,
spacegroup->bravais_lattice);
/* Symmetrize atomic positions of conventional unit cell */
exact_positions = ssm_get_exact_positions(wyckoffs,
equiv_atoms,
bravais,
conv_sym,
spacegroup->hall_number,
symprec);
sym_free_symmetry(conv_sym);
if (exact_positions->size > 0) {
for (i = 0; i < bravais->size; i++) {
mat_copy_vector_d3(bravais->position[i], exact_positions->vec[i]);
}
} else {
cel_free_cell(bravais);
bravais = cel_alloc_cell(0);
}
mat_free_VecDBL(exact_positions);
return bravais;
}