static void precalculate_cholesky_projection_matrices_bubble()
{
// *** triangles ***
ref_map_pss.set_mode(MODE_TRIANGLE);
int order = ref_map_shapeset.get_max_order();
// calculate projection matrix of maximum order
int nb = ref_map_shapeset.get_num_bubbles(order);
int* indices = ref_map_shapeset.get_bubble_indices(order);
bubble_proj_matrix_tri = calculate_bubble_projection_matrix(nb, indices);
// cholesky factorization of the matrix
bubble_tri_p = new double[nb];
choldc(bubble_proj_matrix_tri, nb, bubble_tri_p);
// *** quads ***
ref_map_pss.set_mode(MODE_QUAD);
order = ref_map_shapeset.get_max_order();
order = make_quad_order(order, order);
// calculate projection matrix of maximum order
nb = ref_map_shapeset.get_num_bubbles(order);
indices = ref_map_shapeset.get_bubble_indices(order);
bubble_proj_matrix_quad = calculate_bubble_projection_matrix(nb, indices);
// cholesky factorization of the matrix
bubble_quad_p = new double[nb];
choldc(bubble_proj_matrix_quad, nb, bubble_quad_p);
}
int main(int argc, char* argv[])
{
hermes2d_initialize(&argc, argv);
info("SHAPESET TESTER");
info("num_components = %d", shapeset.get_num_components());
info("max_order = %d", shapeset.get_max_order());
precalc.set_quad_2d(&quad);
for (int mode = 0; mode <= 1; mode++)
{
shapeset.set_mode(mode);
quad.set_mode(mode);
precalc.set_mode(mode);
info(mode ? "\nTESTING QUADS\n" : "\nTESTING TRIANGLES\n");
//test_orders(&shapeset);
test_edge_rotation();
//test_edge_orientation(&shapeset);
//test_num_bubbles(&shapeset);
}
//info("\nALL OK!\n");
printf("\n");
hermes2d_finalize();
return 0;
}
// preparation of projection matrices, Cholesky factorization
static void precalculate_cholesky_projection_matrix_edge()
{
int order = ref_map_shapeset.get_max_order();
int n = order - 1; // number of edge basis functions
edge_proj_matrix = new_matrix<double>(n, n);
// calculate projection matrix of maximum order
for (int i = 0; i < n; i++)
{
for (int j = i; j < n; j++)
{
int o = i + j + 4;
double2* pt = quad1d.get_points(o);
double val = 0.0;
for (int k = 0; k < quad1d.get_num_points(o); k++)
{
double x = pt[k][0];
double fi = lob[i+2](x);
double fj = lob[j+2](x);
val += pt[k][1] * (fi * fj);
}
edge_proj_matrix[i][j] = edge_proj_matrix[j][i] = val;
}
}
// Cholesky factorization of the matrix
edge_p = new double[n];
choldc(edge_proj_matrix, n, edge_p);
}
void test_edge_rotation()
{
info("Testing edge rotation...");
int mode = shapeset.get_mode();
int ne = mode ? 4 : 3;
for (int ori = 0; ori <= 1; ori++)
{
for (int order = 0; order <= shapeset.get_max_order(); order++)
{
double *e01, *e02, *ee1, *ee2;
precalc.set_active_shape(shapeset.get_edge_index(0, ori, order));
precalc.set_quad_order(quad.get_edge_points(0));
e01 = precalc.get_fn_values(0);
if (nc > 1) e02 = precalc.get_fn_values(1);
for (int e = 1; e < ne; e++)
{
precalc.set_active_shape(shapeset.get_edge_index(e, ori, order));
precalc.set_quad_order(quad.get_edge_points(e));
ee1 = precalc.get_fn_values(0);
if (nc > 1) ee2 = precalc.get_fn_values(1);
int np = quad.get_num_points(quad.get_edge_points(0));
if (nc == 1)
{
for (int i = 0; i < np; i++)
if (!eq(e01[i], ee1[i]))
{
info("order=%d, ori=%d, edge=%d -- not equal to edge 0", order, ori, e);
}
}
else
{
for (int i = 0; i < np; i++)
{
double x = rot[mode][e][0][0] * ee1[i] + rot[mode][e][0][1] * ee2[i];
double y = rot[mode][e][1][0] * ee1[i] + rot[mode][e][1][1] * ee2[i];
if (!eq(e01[i], x) || !eq(e02[i], y))
{
info("order=%d, ori=%d, edge=%d -- not equal to edge 0", order, ori, e);
printf("x comp: 0-ta %g, %d-ta %g\n", e01[i], e, x);
printf("y comp: 0-ta %g, %d-ta %g\n\n", e02[i], e, y);
}
}
}
}
}
}
}
