static void
test_h2matrix_system(const char *apprxtype, pcamatrix Vfull,
pcamatrix KMfull, pblock block, pbem2d bem_slp,
ph2matrix V, pbem2d bem_dlp, ph2matrix KM, bool exterior)
{
pavector x, b;
real errorV, errorKM, error_solve, eps_solve;
uint steps;
eps_solve = 1.0e-12;
steps = 1000;
printf("Testing: %s H2matrix %s\n"
"====================================\n\n",
(exterior == true ? "exterior" : "interior"), apprxtype);
assemble_bem2d_h2matrix_row_clusterbasis(bem_slp, V->rb);
assemble_bem2d_h2matrix_col_clusterbasis(bem_slp, V->cb);
assemble_bem2d_h2matrix(bem_slp, block, V);
assemble_bem2d_h2matrix_row_clusterbasis(bem_dlp, KM->rb);
assemble_bem2d_h2matrix_col_clusterbasis(bem_dlp, KM->cb);
assemble_bem2d_h2matrix(bem_dlp, block, KM);
errorV = norm2diff_amatrix_h2matrix(V, Vfull) / norm2_amatrix(Vfull);
printf("rel. error V : %.5e\n", errorV);
errorKM = norm2diff_amatrix_h2matrix(KM, KMfull) / norm2_amatrix(KMfull);
printf("rel. error K%c0.5*M : %.5e\n", (exterior == true ? '-' : '+'),
errorKM);
x = new_avector(Vfull->rows);
b = new_avector(KMfull->cols);
printf("Solving Dirichlet problem:\n");
projectl2_bem2d_const_avector(bem_dlp,
eval_dirichlet_quadratic_laplacebem2d, x);
clear_avector(b);
addeval_h2matrix_avector(1.0, KM, x, b);
solve_cg_bem2d(H2MATRIX, V, b, x, eps_solve, steps);
if (exterior == true) {
scale_avector(-1.0, x);
}
error_solve = L2gamma_c_diff_norm2(bem_slp, x,
eval_neumann_quadratic_laplacebem2d);
clear_avector(x);
error_solve = error_solve
/ L2gamma_c_diff_norm2(bem_slp, x, eval_neumann_quadratic_laplacebem2d);
printf("rel. error neumann : %.5e %s\n", error_solve,
(IS_IN_RANGE(3.0e-3, error_solve, 4.0e-3) ? " okay" :
"NOT okay"));
if (!IS_IN_RANGE(3.0e-3, error_solve, 4.0e-3))
problems++;
printf("\n");
del_avector(x);
del_avector(b);
}
static void
test_h2matrix_system(const char *apprxtype, pcamatrix Vfull,
pcamatrix KMfull, pblock block, pbem3d bem_slp,
ph2matrix V, pbem3d bem_dlp, ph2matrix KM, bool linear,
bool exterior, real low, real high)
{
struct _eval_A eval;
helmholtz_data hdata;
pavector x, b;
real errorV, errorKM, error_solve, eps_solve;
uint steps;
boundary_func3d rhs = (boundary_func3d) rhs_dirichlet_point_helmholtzbem3d;
eps_solve = 1.0e-12;
steps = 1000;
printf("Testing: %s H2matrix %s\n"
"====================================\n\n",
(exterior == true ? "exterior" : "interior"), apprxtype);
assemble_bem3d_h2matrix_row_clusterbasis(bem_slp, V->rb);
assemble_bem3d_h2matrix_col_clusterbasis(bem_slp, V->cb);
SCHEDULE_OPENCL(0, 1, assemble_bem3d_h2matrix, bem_slp, block, V);
assemble_bem3d_h2matrix_row_clusterbasis(bem_dlp, KM->rb);
assemble_bem3d_h2matrix_col_clusterbasis(bem_dlp, KM->cb);
SCHEDULE_OPENCL(0, 1, assemble_bem3d_h2matrix, bem_dlp, block, KM);
eval.V = V;
eval.Vtype = H2MATRIX;
eval.KM = KM;
eval.KMtype = H2MATRIX;
eval.eta =
REAL_SQRT(ABSSQR(bem_slp->kvec[0]) + ABSSQR(bem_slp->kvec[1]) +
ABSSQR(bem_slp->kvec[2]));
hdata.kvec = bem_slp->kvec;
hdata.source = allocreal(3);
if (exterior) {
hdata.source[0] = 0.0, hdata.source[1] = 0.0, hdata.source[2] = 0.2;
}
else {
hdata.source[0] = 0.0, hdata.source[1] = 0.0, hdata.source[2] = 5.0;
}
errorV = norm2diff_amatrix_h2matrix(V, Vfull) / norm2_amatrix(Vfull);
printf("rel. error V : %.5e\n", errorV);
errorKM = norm2diff_amatrix_h2matrix(KM, KMfull) / norm2_amatrix(KMfull);
printf("rel. error K%c0.5*M : %.5e\n", (exterior == true ? '-' : '+'),
errorKM);
x = new_avector(Vfull->rows);
b = new_avector(KMfull->cols);
printf("Solving Dirichlet problem:\n");
integrate_bem3d_const_avector(bem_dlp, rhs, b, (void *) &hdata);
solve_gmres_bem3d(HMATRIX, &eval, b, x, eps_solve, steps);
error_solve = max_rel_outer_error(bem_slp, &hdata, x, rhs);
printf("max. rel. error : %.5e %s\n", error_solve,
(IS_IN_RANGE(low, error_solve, high) ? " okay" : "NOT okay"));
if (!IS_IN_RANGE(low, error_solve, high))
problems++;
printf("\n");
del_avector(x);
del_avector(b);
freemem(hdata.source);
}