static void old_projection(Element* e, int order, double2* proj, double* old[2])
{
int mo2 = quad2d.get_max_order();
int np = quad2d.get_num_points(mo2);
for (unsigned int k = 0; k < e->nvert; k++) // loop over vertices
{
// vertex basis functions in all integration points
double* vd;
int index_v = ref_map_shapeset.get_vertex_index(k);
ref_map_pss.set_active_shape(index_v);
ref_map_pss.set_quad_order(mo2);
vd = ref_map_pss.get_fn_values();
for (int m = 0; m < 2; m++) // part 0 or 1
for (int j = 0; j < np; j++)
old[m][j] += proj[k][m] * vd[j];
for (int ii = 0; ii < order - 1; ii++)
{
// edge basis functions in all integration points
double* ed;
int index_e = ref_map_shapeset.get_edge_index(k,0,ii+2);
ref_map_pss.set_active_shape(index_e);
ref_map_pss.set_quad_order(mo2);
ed = ref_map_pss.get_fn_values();
for (int m = 0; m < 2; m++) //part 0 or 1
for (int j = 0; j < np; j++)
old[m][j] += proj[e->nvert + k * (order-1) + ii][m] * ed[j];
}
}
}
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);
}
}
}
}
}
}
}
void RefMap::calc_phys_y(int order)
{
// transform all y coordinates of the integration points
int i, j, np = quad_2d->get_num_points(order);
double* y = cur_node->phys_y[order] = new double[np];
memset(y, 0, np * sizeof(double));
ref_map_pss.force_transform(sub_idx, ctm);
for (i = 0; i < nc; i++)
{
ref_map_pss.set_active_shape(indices[i]);
ref_map_pss.set_quad_order(order);
double* fn = ref_map_pss.get_fn_values();
for (j = 0; j < np; j++)
y[j] += coeffs[i][1] * fn[j];
}
}
static void calc_bubble_projection(Element* e, Nurbs** nurbs, int order, double2* proj)
{
ref_map_pss.set_active_element(e);
int i, j, k;
int mo2 = quad2d.get_max_order();
int np = quad2d.get_num_points(mo2);
int qo = e->is_quad() ? make_quad_order(order, order) : order;
int nb = ref_map_shapeset.get_num_bubbles(qo);
AUTOLA_OR(double2, fn, np);
memset(fn, 0, sizeof(double2) * np);
double* rhside[2];
double* old[2];
for (i = 0; i < 2; i++) {
rhside[i] = new double[nb];
old[i] = new double[np];
memset(rhside[i], 0, sizeof(double) * nb);
memset(old[i], 0, sizeof(double) * np);
}
// compute known part of projection (vertex and edge part)
old_projection(e, order, proj, old);
// fn values of both components of nonpolynomial function
double3* pt = quad2d.get_points(mo2);
for (j = 0; j < np; j++) // over all integration points
{
double2 a;
a[0] = ctm.m[0] * pt[j][0] + ctm.t[0];
a[1] = ctm.m[1] * pt[j][1] + ctm.t[1];
calc_ref_map(e, nurbs, a[0], a[1], fn[j]);
}
double2* result = proj + e->nvert + e->nvert * (order - 1);
for (k = 0; k < 2; k++)
{
for (i = 0; i < nb; i++) // loop over bubble basis functions
{
// bubble basis functions in all integration points
double *bfn;
int index_i = ref_map_shapeset.get_bubble_indices(qo)[i];
ref_map_pss.set_active_shape(index_i);
ref_map_pss.set_quad_order(mo2);
bfn = ref_map_pss.get_fn_values();
for (j = 0; j < np; j++) // over all integration points
rhside[k][i] += pt[j][2] * (bfn[j] * (fn[j][k] - old[k][j]));
}
// solve
if (e->nvert == 3)
cholsl(bubble_proj_matrix_tri, nb, bubble_tri_p, rhside[k], rhside[k]);
else
cholsl(bubble_proj_matrix_quad, nb, bubble_quad_p, rhside[k], rhside[k]);
for (i = 0; i < nb; i++)
result[i][k] = rhside[k][i];
}
for (i = 0; i < 2; i++) {
delete [] rhside[i];
delete [] old[i];
}
}