int
main(int argc, char **argv)
{
pmacrosurface3d mg;
psurface3d gr;
pamatrix Vfull, KMfull;
pbem3d bem_slp, bem_dlp;
pcluster root;
pblock block;
phmatrix V, KM;
pclusterbasis Vrb, Vcb, KMrb, KMcb;
ph2matrix V2, KM2;
uint n, q, clf, m, l;
real eta, delta, eps_aca;
field kvec[3];
cl_device_id *devices;
cl_uint ndevices;
uint *idx;
uint i;
init_h2lib(&argc, &argv);
get_opencl_devices(&devices, &ndevices);
ndevices = 1;
set_opencl_devices(devices, ndevices, 2);
kvec[0] = 2.0, kvec[1] = 0.0, kvec[2] = 0.0;
n = 512;
q = 2;
clf = 16;
eta = 1.0;
mg = new_sphere_macrosurface3d();
gr = build_from_macrosurface3d_surface3d(mg, REAL_SQRT(n * 0.125));
n = gr->triangles;
printf("Testing unit sphere with %d triangles\n", n);
bem_slp = new_slp_helmholtz_ocl_bem3d(kvec, gr, q, q + 2,
BASIS_CONSTANT_BEM3D);
bem_dlp = new_dlp_helmholtz_ocl_bem3d(kvec, gr, q, q + 2,
BASIS_CONSTANT_BEM3D,
BASIS_CONSTANT_BEM3D, 0.5);
root = build_bem3d_cluster(bem_slp, clf, BASIS_CONSTANT_BEM3D);
block = build_nonstrict_block(root, root, &eta, admissible_max_cluster);
max_pardepth = 0;
Vfull = new_amatrix(n, n);
KMfull = new_amatrix(n, n);
idx = allocuint(n);
for (i = 0; i < n; ++i) {
idx[i] = i;
}
SCHEDULE_OPENCL(0, 1, bem_slp->nearfield, idx, idx, bem_slp, false, Vfull);
SCHEDULE_OPENCL(0, 1, bem_dlp->nearfield, idx, idx, bem_dlp, false, KMfull);
V = build_from_block_hmatrix(block, 0);
KM = build_from_block_hmatrix(block, 0);
printf("----------------------------------------\n");
printf("Testing outer Boundary integral equations:\n");
printf("----------------------------------------\n\n");
/*
* Test Interpolation
*/
m = 4;
setup_hmatrix_aprx_inter_row_bem3d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_row_bem3d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation row", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
setup_hmatrix_aprx_inter_col_bem3d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_col_bem3d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation column", Vfull, KMfull, block, bem_slp,
V, bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
setup_hmatrix_aprx_inter_mixed_bem3d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_mixed_bem3d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
/*
* Test Green
*/
m = 5;
l = 1;
delta = 0.5;
setup_hmatrix_aprx_green_row_bem3d(bem_slp, root, root, block, m, l, delta,
build_bem3d_cube_quadpoints);
setup_hmatrix_aprx_green_row_bem3d(bem_dlp, root, root, block, m, l, delta,
build_bem3d_cube_quadpoints);
test_hmatrix_system("Green row", Vfull, KMfull, block, bem_slp, V, bem_dlp,
KM, false, true, 1.0e-3, 2.0e-3);
setup_hmatrix_aprx_green_col_bem3d(bem_slp, root, root, block, m, l, delta,
build_bem3d_cube_quadpoints);
setup_hmatrix_aprx_green_col_bem3d(bem_dlp, root, root, block, m, l, delta,
build_bem3d_cube_quadpoints);
test_hmatrix_system("Green column", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
setup_hmatrix_aprx_green_mixed_bem3d(bem_slp, root, root, block, m, l,
delta, build_bem3d_cube_quadpoints);
setup_hmatrix_aprx_green_mixed_bem3d(bem_dlp, root, root, block, m, l,
delta, build_bem3d_cube_quadpoints);
test_hmatrix_system("Green mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
/*
* Test Greenhybrid
*/
m = 2;
l = 1;
delta = 1.0;
eps_aca = 2.0e-2;
setup_hmatrix_aprx_greenhybrid_row_bem3d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem3d_cube_quadpoints);
setup_hmatrix_aprx_greenhybrid_row_bem3d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem3d_cube_quadpoints);
test_hmatrix_system("Greenhybrid row", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
setup_hmatrix_aprx_greenhybrid_col_bem3d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem3d_cube_quadpoints);
setup_hmatrix_aprx_greenhybrid_col_bem3d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem3d_cube_quadpoints);
test_hmatrix_system("Greenhybrid column", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
setup_hmatrix_aprx_greenhybrid_mixed_bem3d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem3d_cube_quadpoints);
setup_hmatrix_aprx_greenhybrid_mixed_bem3d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem3d_cube_quadpoints);
test_hmatrix_system("Greenhybrid mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
/*
* Test ACA / PACA / HCA
*/
m = 2;
eps_aca = 1.0e-2;
/* Nearfield computation on GPU not applicable here yet! */
// setup_hmatrix_aprx_aca_bem3d(bem_slp, root, root, block, eps_aca);
// setup_hmatrix_aprx_aca_bem3d(bem_dlp, root, root, block, eps_aca);
// test_hmatrix_system("ACA full pivoting", Vfull, KMfull, block, bem_slp, V,
// bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
//
// setup_hmatrix_aprx_paca_bem3d(bem_slp, root, root, block, eps_aca);
// setup_hmatrix_aprx_paca_bem3d(bem_slp, root, root, block, eps_aca);
// test_hmatrix_system("ACA partial pivoting", Vfull, KMfull, block, bem_slp, V,
// bem_dlp, KM, false, true, 1.0e-3, 2.0e-3);
setup_hmatrix_aprx_hca_bem3d(bem_slp, root, root, block, m, eps_aca);
setup_hmatrix_aprx_hca_bem3d(bem_slp, root, root, block, m, eps_aca);
test_hmatrix_system("HCA2", Vfull, KMfull, block, bem_slp, V, bem_dlp, KM,
false, true, 1.0e-3, 2.0e-3);
del_hmatrix(V);
del_hmatrix(KM);
del_block(block);
/*
* H2-matrix
*/
block = build_strict_block(root, root, &eta, admissible_max_cluster);
Vrb = build_from_cluster_clusterbasis(root);
Vcb = build_from_cluster_clusterbasis(root);
KMrb = build_from_cluster_clusterbasis(root);
KMcb = build_from_cluster_clusterbasis(root);
V2 = build_from_block_h2matrix(block, Vrb, Vcb);
KM2 = build_from_block_h2matrix(block, KMrb, KMcb);
/*
* Test Interpolation
*/
m = 3;
setup_h2matrix_aprx_inter_bem3d(bem_slp, Vrb, Vcb, block, m);
setup_h2matrix_aprx_inter_bem3d(bem_dlp, KMrb, KMcb, block, m);
test_h2matrix_system("Interpolation", Vfull, KMfull, block, bem_slp, V2,
bem_dlp, KM2, false, true, 1.0e-3, 2.0e-3);
/*
* Test Greenhybrid
*/
m = 2;
l = 1;
delta = 1.0;
eps_aca = 2.0e-2;
setup_h2matrix_aprx_greenhybrid_bem3d(bem_slp, Vrb, Vcb, block, m, l, delta,
eps_aca, build_bem3d_cube_quadpoints);
setup_h2matrix_aprx_greenhybrid_bem3d(bem_dlp, KMrb, KMcb, block, m, l,
delta, eps_aca,
build_bem3d_cube_quadpoints);
test_h2matrix_system("Greenhybrid", Vfull, KMfull, block, bem_slp, V2,
bem_dlp, KM2, false, true, 1.0e-3, 2.0e-3);
/* Nearfield computation on GPU not applicable here yet! */
// setup_h2matrix_aprx_greenhybrid_ortho_bem3d(bem_slp, Vrb, Vcb, block, m, l,
// delta, eps_aca, build_bem3d_cube_quadpoints);
// setup_h2matrix_aprx_greenhybrid_ortho_bem3d(bem_dlp, KMrb, KMcb, block, m, l,
// delta, eps_aca, build_bem3d_cube_quadpoints);
// test_h2matrix_system("Greenhybrid ortho", Vfull, KMfull, block, bem_slp, V2,
// bem_dlp, KM2, false, true, 1.0e-3, 2.0e-3);
del_h2matrix(V2);
del_h2matrix(KM2);
del_block(block);
freemem(root->idx);
del_cluster(root);
del_helmholtz_ocl_bem3d(bem_slp);
del_helmholtz_ocl_bem3d(bem_dlp);
del_amatrix(Vfull);
del_amatrix(KMfull);
del_surface3d(gr);
del_macrosurface3d(mg);
freemem(idx);
(void) printf("----------------------------------------\n"
" %u matrices and\n"
" %u vectors still active\n"
" %u errors found\n", getactives_amatrix(),
getactives_avector(), problems);
uninit_h2lib();
return problems;
}
int
main(int argc, char **argv)
{
pcurve2d gr;
pamatrix Vfull, KMfull;
pbem2d bem_slp, bem_dlp;
pcluster root;
pblock block;
phmatrix V, KM;
pclusterbasis Vrb, Vcb, KMrb, KMcb;
ph2matrix V2, KM2;
uint n, q, clf, m, l;
real eta, delta, eps_aca;
init_h2lib(&argc, &argv);
n = 579;
q = 2;
clf = 16;
eta = 1.0;
gr = new_circle_curve2d(n, 0.333);
bem_slp = new_slp_laplace_bem2d(gr, q, BASIS_CONSTANT_BEM2D);
bem_dlp = new_dlp_laplace_bem2d(gr, q, BASIS_CONSTANT_BEM2D,
BASIS_CONSTANT_BEM2D, 0.5);
root = build_bem2d_cluster(bem_slp, clf, BASIS_CONSTANT_BEM2D);
block = build_nonstrict_block(root, root, &eta, admissible_max_cluster);
Vfull = new_amatrix(n, n);
KMfull = new_amatrix(n, n);
bem_slp->nearfield(NULL, NULL, bem_slp, false, Vfull);
bem_dlp->nearfield(NULL, NULL, bem_dlp, false, KMfull);
V = build_from_block_hmatrix(block, 0);
KM = build_from_block_hmatrix(block, 0);
printf("----------------------------------------\n");
printf("Testing inner Boundary integral equations:\n");
printf("----------------------------------------\n\n");
/*
* Test Interpolation
*/
m = 9;
setup_hmatrix_aprx_inter_row_bem2d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_row_bem2d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation row", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false);
setup_hmatrix_aprx_inter_col_bem2d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_col_bem2d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation column", Vfull, KMfull, block, bem_slp,
V, bem_dlp, KM, false);
setup_hmatrix_aprx_inter_mixed_bem2d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_mixed_bem2d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false);
/*
* Test Green
*/
m = 10;
l = 2;
delta = 0.5;
setup_hmatrix_aprx_green_row_bem2d(bem_slp, root, root, block, m, l, delta,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_green_row_bem2d(bem_dlp, root, root, block, m, l, delta,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Green row", Vfull, KMfull, block, bem_slp, V, bem_dlp,
KM, false);
setup_hmatrix_aprx_green_col_bem2d(bem_slp, root, root, block, m, l, delta,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_green_col_bem2d(bem_dlp, root, root, block, m, l, delta,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Green column", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false);
setup_hmatrix_aprx_green_mixed_bem2d(bem_slp, root, root, block, m, l,
delta, build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_green_mixed_bem2d(bem_dlp, root, root, block, m, l,
delta, build_bem2d_rect_quadpoints);
test_hmatrix_system("Green mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false);
/*
* Test Greenhybrid
*/
m = 3;
l = 1;
delta = 1.0;
eps_aca = 1.0e-7;
setup_hmatrix_aprx_greenhybrid_row_bem2d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_greenhybrid_row_bem2d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Greenhybrid row", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false);
setup_hmatrix_aprx_greenhybrid_col_bem2d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_greenhybrid_col_bem2d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Greenhybrid column", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false);
setup_hmatrix_aprx_greenhybrid_mixed_bem2d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_greenhybrid_mixed_bem2d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Greenhybrid mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false);
/*
* Test ACA / PACA / HCA
*/
m = 4;
eps_aca = 1.0e-6;
setup_hmatrix_aprx_aca_bem2d(bem_slp, root, root, block, eps_aca);
setup_hmatrix_aprx_aca_bem2d(bem_dlp, root, root, block, eps_aca);
test_hmatrix_system("ACA full pivoting", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, false);
setup_hmatrix_aprx_paca_bem2d(bem_slp, root, root, block, eps_aca);
setup_hmatrix_aprx_paca_bem2d(bem_dlp, root, root, block, eps_aca);
test_hmatrix_system("ACA partial pivoting", Vfull, KMfull, block, bem_slp,
V, bem_dlp, KM, false);
setup_hmatrix_aprx_hca_bem2d(bem_slp, root, root, block, m, eps_aca);
setup_hmatrix_aprx_hca_bem2d(bem_dlp, root, root, block, m, eps_aca);
test_hmatrix_system("HCA2", Vfull, KMfull, block, bem_slp, V, bem_dlp, KM,
false);
/*
* H2-matrix
*/
del_hmatrix(V);
del_hmatrix(KM);
del_block(block);
block = build_strict_block(root, root, &eta, admissible_max_cluster);
Vrb = build_from_cluster_clusterbasis(root);
Vcb = build_from_cluster_clusterbasis(root);
KMrb = build_from_cluster_clusterbasis(root);
KMcb = build_from_cluster_clusterbasis(root);
V2 = build_from_block_h2matrix(block, Vrb, Vcb);
KM2 = build_from_block_h2matrix(block, KMrb, KMcb);
/*
* Test Interpolation
*/
m = 9;
setup_h2matrix_aprx_inter_bem2d(bem_slp, Vrb, Vcb, block, m);
setup_h2matrix_aprx_inter_bem2d(bem_dlp, KMrb, KMcb, block, m);
test_h2matrix_system("Interpolation", Vfull, KMfull, block, bem_slp, V2,
bem_dlp, KM2, false);
/*
* Test Greenhybrid
*/
m = 3;
l = 1;
delta = 1.0;
eps_aca = 1.0e-7;
setup_h2matrix_aprx_greenhybrid_bem2d(bem_slp, Vrb, Vcb, block, m, l, delta,
eps_aca, build_bem2d_rect_quadpoints);
setup_h2matrix_aprx_greenhybrid_bem2d(bem_dlp, KMrb, KMcb, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
test_h2matrix_system("Greenhybrid", Vfull, KMfull, block, bem_slp, V2,
bem_dlp, KM2, false);
setup_h2matrix_aprx_greenhybrid_ortho_bem2d(bem_slp, Vrb, Vcb, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
setup_h2matrix_aprx_greenhybrid_ortho_bem2d(bem_dlp, KMrb, KMcb, block, m,
l, delta, eps_aca,
build_bem2d_rect_quadpoints);
test_h2matrix_system("Greenhybrid ortho", Vfull, KMfull, block, bem_slp, V2,
bem_dlp, KM2, false);
del_h2matrix(V2);
del_h2matrix(KM2);
del_block(block);
del_bem2d(bem_dlp);
printf("----------------------------------------\n");
printf("Testing outer Boundary integral equations:\n");
printf("----------------------------------------\n\n");
bem_dlp = new_dlp_laplace_bem2d(gr, q, BASIS_CONSTANT_BEM2D,
BASIS_CONSTANT_BEM2D, -0.5);
block = build_nonstrict_block(root, root, &eta, admissible_max_cluster);
bem_dlp->nearfield(NULL, NULL, bem_dlp, false, KMfull);
V = build_from_block_hmatrix(block, 0);
KM = build_from_block_hmatrix(block, 0);
/*
* Test Interpolation
*/
m = 9;
setup_hmatrix_aprx_inter_row_bem2d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_row_bem2d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation row", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, true);
setup_hmatrix_aprx_inter_col_bem2d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_col_bem2d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation column", Vfull, KMfull, block, bem_slp,
V, bem_dlp, KM, true);
setup_hmatrix_aprx_inter_mixed_bem2d(bem_slp, root, root, block, m);
setup_hmatrix_aprx_inter_mixed_bem2d(bem_dlp, root, root, block, m);
test_hmatrix_system("Interpolation mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, true);
/*
* Test Green
*/
m = 10;
l = 2;
delta = 0.5;
setup_hmatrix_aprx_green_row_bem2d(bem_slp, root, root, block, m, l, delta,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_green_row_bem2d(bem_dlp, root, root, block, m, l, delta,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Green row", Vfull, KMfull, block, bem_slp, V, bem_dlp,
KM, true);
setup_hmatrix_aprx_green_col_bem2d(bem_slp, root, root, block, m, l, delta,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_green_col_bem2d(bem_dlp, root, root, block, m, l, delta,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Green column", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, true);
setup_hmatrix_aprx_green_mixed_bem2d(bem_slp, root, root, block, m, l,
delta, build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_green_mixed_bem2d(bem_dlp, root, root, block, m, l,
delta, build_bem2d_rect_quadpoints);
test_hmatrix_system("Green mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, true);
/*
* Test Greenhybrid
*/
m = 3;
l = 1;
delta = 1.0;
eps_aca = 1.0e-7;
setup_hmatrix_aprx_greenhybrid_row_bem2d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_greenhybrid_row_bem2d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Greenhybrid row", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, true);
setup_hmatrix_aprx_greenhybrid_col_bem2d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_greenhybrid_col_bem2d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Greenhybrid column", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, true);
setup_hmatrix_aprx_greenhybrid_mixed_bem2d(bem_slp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
setup_hmatrix_aprx_greenhybrid_mixed_bem2d(bem_dlp, root, root, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
test_hmatrix_system("Greenhybrid mixed", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, true);
/*
* Test ACA / PACA / HCA
*/
m = 4;
eps_aca = 1.0e-6;
setup_hmatrix_aprx_aca_bem2d(bem_slp, root, root, block, eps_aca);
setup_hmatrix_aprx_aca_bem2d(bem_dlp, root, root, block, eps_aca);
test_hmatrix_system("ACA full pivoting", Vfull, KMfull, block, bem_slp, V,
bem_dlp, KM, true);
setup_hmatrix_aprx_paca_bem2d(bem_slp, root, root, block, eps_aca);
setup_hmatrix_aprx_paca_bem2d(bem_dlp, root, root, block, eps_aca);
test_hmatrix_system("ACA partial pivoting", Vfull, KMfull, block, bem_slp,
V, bem_dlp, KM, true);
setup_hmatrix_aprx_hca_bem2d(bem_slp, root, root, block, m, eps_aca);
setup_hmatrix_aprx_hca_bem2d(bem_dlp, root, root, block, m, eps_aca);
test_hmatrix_system("HCA2", Vfull, KMfull, block, bem_slp, V, bem_dlp, KM,
true);
/*
* H2-matrix
*/
del_hmatrix(V);
del_hmatrix(KM);
del_block(block);
block = build_strict_block(root, root, &eta, admissible_max_cluster);
Vrb = build_from_cluster_clusterbasis(root);
Vcb = build_from_cluster_clusterbasis(root);
KMrb = build_from_cluster_clusterbasis(root);
KMcb = build_from_cluster_clusterbasis(root);
V2 = build_from_block_h2matrix(block, Vrb, Vcb);
KM2 = build_from_block_h2matrix(block, KMrb, KMcb);
/*
* Test Interpolation
*/
m = 9;
setup_h2matrix_aprx_inter_bem2d(bem_slp, Vrb, Vcb, block, m);
setup_h2matrix_aprx_inter_bem2d(bem_dlp, KMrb, KMcb, block, m);
test_h2matrix_system("Interpolation", Vfull, KMfull, block, bem_slp, V2,
bem_dlp, KM2, true);
/*
* Test Greenhybrid
*/
m = 3;
l = 1;
delta = 1.0;
eps_aca = 1.0e-7;
setup_h2matrix_aprx_greenhybrid_bem2d(bem_slp, Vrb, Vcb, block, m, l, delta,
eps_aca, build_bem2d_rect_quadpoints);
setup_h2matrix_aprx_greenhybrid_bem2d(bem_dlp, KMrb, KMcb, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
test_h2matrix_system("Greenhybrid", Vfull, KMfull, block, bem_slp, V2,
bem_dlp, KM2, true);
setup_h2matrix_aprx_greenhybrid_ortho_bem2d(bem_slp, Vrb, Vcb, block, m, l,
delta, eps_aca,
build_bem2d_rect_quadpoints);
setup_h2matrix_aprx_greenhybrid_ortho_bem2d(bem_dlp, KMrb, KMcb, block, m,
l, delta, eps_aca,
build_bem2d_rect_quadpoints);
test_h2matrix_system("Greenhybrid Ortho", Vfull, KMfull, block, bem_slp, V2,
bem_dlp, KM2, true);
del_h2matrix(V2);
del_h2matrix(KM2);
del_block(block);
freemem(root->idx);
del_cluster(root);
del_bem2d(bem_slp);
del_bem2d(bem_dlp);
del_amatrix(Vfull);
del_amatrix(KMfull);
del_curve2d(gr);
(void) printf("----------------------------------------\n"
" %u matrices and\n"
" %u vectors still active\n"
" %u errors found\n", getactives_amatrix(),
getactives_avector(), problems);
uninit_h2lib();
return problems;
}
int
main()
{
ph2matrix h2, h2copy, L, R;
pclusterbasis rb, cb, rbcopy, cbcopy, rblow, cblow, rbup, cbup;
pclusteroperator rwf, cwf, rwflow, cwflow, rwfup, cwfup, rwfh2, cwfh2;
ptruncmode tm;
pavector x, b;
uint n;
real error;
pcurve2d gr2;
pbem2d bem2;
pcluster root2;
pblock block2;
uint clf, m;
real tol, eta, delta, eps_aca;
n = 579;
tol = 1.0e-13;
clf = 16;
eta = 1.0;
m = 4;
delta = 1.0;
eps_aca = 1.0e-13;
gr2 = new_circle_curve2d(n, 0.333);
bem2 = new_slp_laplace_bem2d(gr2, 2, BASIS_CONSTANT_BEM2D);
root2 = build_bem2d_cluster(bem2, clf, BASIS_CONSTANT_BEM2D);
block2 = build_strict_block(root2, root2, &eta, admissible_max_cluster);
rb = build_from_cluster_clusterbasis(root2);
cb = build_from_cluster_clusterbasis(root2);
setup_h2matrix_aprx_greenhybrid_bem2d(bem2, rb, cb, block2, m, 1, delta,
eps_aca, build_bem2d_rect_quadpoints);
(void) printf("----------------------------------------\n"
"Check %u x %u Cholesky factorization\n", n, n);
(void) printf("Creating laplacebem2d SLP matrix\n");
assemble_bem2d_h2matrix_row_clusterbasis(bem2, rb);
assemble_bem2d_h2matrix_col_clusterbasis(bem2, cb);
h2 = build_from_block_h2matrix(block2, rb, cb);
assemble_bem2d_h2matrix(bem2, block2, h2);
(void) printf("Creating random solution and right-hand side\n");
x = new_avector(n);
random_avector(x);
b = new_avector(n);
clear_avector(b);
mvm_h2matrix_avector(1.0, false, h2, x, b);
(void) printf("Copying matrix\n");
rbcopy = clone_clusterbasis(h2->rb);
cbcopy = clone_clusterbasis(h2->cb);
h2copy = clone_h2matrix(h2, rbcopy, cbcopy);
(void) printf("Computing Cholesky factorization\n");
tm = new_releucl_truncmode();
rblow = build_from_cluster_clusterbasis(root2);
cblow = build_from_cluster_clusterbasis(root2);
L = build_from_block_lower_h2matrix(block2, rblow, cblow);
rwflow = prepare_row_clusteroperator(L->rb, L->cb, tm);
cwflow = prepare_col_clusteroperator(L->rb, L->cb, tm);
rwf = NULL;
cwf = NULL;
init_cholesky_h2matrix(h2, &rwf, &cwf, tm);
choldecomp_h2matrix(h2, rwf, cwf, L, rwflow, cwflow, tm, tol);
(void) printf("Solving\n");
cholsolve_h2matrix_avector(L, b);
add_avector(-1.0, x, b);
error = norm2_avector(b) / norm2_avector(x);
(void) printf(" Accuracy %g, %sokay\n", error,
IS_IN_RANGE(2.0e-13, error, 3.0e-12) ? "" : " NOT ");
if (!IS_IN_RANGE(2.0e-13, error, 3.0e-12))
problems++;
rwfh2 = prepare_row_clusteroperator(h2copy->rb, h2copy->cb, tm);
cwfh2 = prepare_col_clusteroperator(h2copy->rb, h2copy->cb, tm);
(void) printf("Checking factorization\n");
error = norm2_h2matrix(h2copy);
addmul_h2matrix(-1.0, L, true, L, h2copy, rwfh2, cwfh2, tm, tol);
error = norm2_h2matrix(h2copy) / error;
(void) printf(" Accuracy %g, %sokay\n", error,
IS_IN_RANGE(4.0e-15, error, 4.0e-14) ? "" : " NOT ");
if (!IS_IN_RANGE(4.0e-15, error, 4.0e-14))
problems++;
del_h2matrix(h2copy);
del_h2matrix(h2);
del_h2matrix(L);
del_avector(b);
del_avector(x);
del_truncmode(tm);
del_clusteroperator(rwflow);
del_clusteroperator(cwflow);
del_clusteroperator(rwf);
del_clusteroperator(cwf);
del_clusteroperator(rwfh2);
del_clusteroperator(cwfh2);
rb = build_from_cluster_clusterbasis(root2);
cb = build_from_cluster_clusterbasis(root2);
setup_h2matrix_aprx_greenhybrid_bem2d(bem2, rb, cb, block2, m, 1, delta,
eps_aca, build_bem2d_rect_quadpoints);
(void) printf("----------------------------------------\n"
"Check %u x %u LR factorization\n", n, n);
(void) printf("Creating laplacebem2d SLP matrix\n");
assemble_bem2d_h2matrix_row_clusterbasis(bem2, rb);
assemble_bem2d_h2matrix_col_clusterbasis(bem2, cb);
h2 = build_from_block_h2matrix(block2, rb, cb);
assemble_bem2d_h2matrix(bem2, block2, h2);
(void) printf("Creating random solution and right-hand side\n");
x = new_avector(n);
random_avector(x);
b = new_avector(n);
clear_avector(b);
mvm_h2matrix_avector(1.0, false, h2, x, b);
(void) printf("Copying matrix\n");
rbcopy = clone_clusterbasis(h2->rb);
cbcopy = clone_clusterbasis(h2->cb);
h2copy = clone_h2matrix(h2, rbcopy, cbcopy);
(void) printf("Computing LR factorization\n");
rblow = build_from_cluster_clusterbasis(root2);
cblow = build_from_cluster_clusterbasis(root2);
L = build_from_block_lower_h2matrix(block2, rblow, cblow);
rbup = build_from_cluster_clusterbasis(root2);
cbup = build_from_cluster_clusterbasis(root2);
R = build_from_block_upper_h2matrix(block2, rbup, cbup);
tm = new_releucl_truncmode();
rwf = prepare_row_clusteroperator(h2->rb, h2->cb, tm);
cwf = prepare_col_clusteroperator(h2->rb, h2->cb, tm);
rwflow = prepare_row_clusteroperator(L->rb, L->cb, tm);
cwflow = prepare_col_clusteroperator(L->rb, L->cb, tm);
rwfup = prepare_row_clusteroperator(R->rb, R->cb, tm);
cwfup = prepare_col_clusteroperator(R->rb, R->cb, tm);
lrdecomp_h2matrix(h2, rwf, cwf, L, rwflow, cwflow, R, rwfup, cwfup, tm,
tol);
(void) printf("Solving\n");
lrsolve_h2matrix_avector(L, R, b);
add_avector(-1.0, x, b);
error = norm2_avector(b) / norm2_avector(x);
(void) printf(" Accuracy %g, %sokay\n", error,
IS_IN_RANGE(2e-13, error, 2e-12) ? "" : " NOT ");
if (!IS_IN_RANGE(2e-13, error, 2e-12))
problems++;
rwfh2 = prepare_row_clusteroperator(h2copy->rb, h2copy->cb, tm);
cwfh2 = prepare_col_clusteroperator(h2copy->rb, h2copy->cb, tm);
(void) printf("Checking factorization\n");
error = norm2_h2matrix(h2copy);
addmul_h2matrix(-1.0, L, false, R, h2copy, rwfh2, cwfh2, tm, tol);
error = norm2_h2matrix(h2copy) / error;
(void) printf(" Accuracy %g, %sokay\n", error,
IS_IN_RANGE(4.0e-15, error, 5.0e-14) ? "" : " NOT ");
if (!IS_IN_RANGE(4.0e-15, error, 5.0e-14))
problems++;
/* Final clean-up */
(void) printf("Cleaning up\n");
del_h2matrix(h2);
del_h2matrix(h2copy);
del_h2matrix(L);
del_h2matrix(R);
del_clusteroperator(rwf);
del_clusteroperator(cwf);
del_clusteroperator(rwflow);
del_clusteroperator(cwflow);
del_clusteroperator(rwfup);
del_clusteroperator(cwfup);
del_clusteroperator(rwfh2);
del_clusteroperator(cwfh2);
del_avector(b);
del_avector(x);
del_truncmode(tm);
freemem(root2->idx);
del_bem2d(bem2);
del_block(block2);
del_cluster(root2);
del_curve2d(gr2);
(void) printf("----------------------------------------\n"
" %u matrices and\n"
" %u vectors still active\n"
" %u errors found\n", getactives_amatrix(),
getactives_avector(), problems);
return problems;
}
