38int main(
int argc,
char *argv[]) {
44 moab::Core mb_instance;
45 moab::Interface &moab = mb_instance;
53 INTEGRATEDJACOBIPOLYNOMIAL,
55 H1TET_BERNSTEIN_BEZIER,
62 H1TRI_BERNSTEIN_BEZIER,
70 H1EDGE_BERNSTEIN_BEZIER,
79 const char *list[] = {
"legendre",
84 "h1tet_bernstein_bezier",
91 "h1tri_bernstein_bezier",
99 "h1edge_bernstein_bezier",
100 "hcurledge_ainsworth",
101 "hcurledge_demkowicz",
107 PetscInt choice_value = LEGENDREPOLYNOMIAL;
109 &choice_value, &flg);
111 if (flg != PETSC_TRUE) {
120 boost::shared_ptr<MatrixDouble> base_ptr(
new MatrixDouble);
121 boost::shared_ptr<MatrixDouble> diff_base_ptr(
new MatrixDouble);
123 const double eps = 1e-3;
125 if (choice_value == LEGENDREPOLYNOMIAL) {
129 4, &diff_s, 1, base_ptr, diff_base_ptr)));
132 std::cout <<
"LegendrePolynomial\n";
133 std::cout << pts_1d << std::endl;
134 std::cout << *base_ptr << std::endl;
135 std::cout << *diff_base_ptr << std::endl;
138 std::cout << sum << std::endl;
139 std::cout << diff_sum << std::endl;
140 if (fabs(2.04688 - sum) >
eps) {
143 if (fabs(2.25 - diff_sum) >
eps) {
148 pts_1d.resize(1, 11,
false);
149 for (
int ii = 0; ii != 11; ii++) {
150 pts_1d(0, ii) = 2 * ((
double)ii / 10) - 1;
153 boost::shared_ptr<MatrixDouble> kernel_base_ptr(
new MatrixDouble);
154 boost::shared_ptr<MatrixDouble> diff_kernel_base_ptr(
new MatrixDouble);
156 if (choice_value == LOBATTOPOLYNOMIAL) {
160 7 + 2, &diff_s, 1, base_ptr, diff_base_ptr)));
165 7, &diff_s, 1, kernel_base_ptr, diff_kernel_base_ptr)));
167 for (
int ii = 0; ii != 11; ii++) {
168 double s = pts_1d(0, ii);
169 std::cerr <<
"lobatto_plot " << s <<
" " << (*base_ptr)(ii, 1) <<
" "
170 << (*diff_base_ptr)(ii, 1) <<
" " << (*kernel_base_ptr)(ii, 1)
171 <<
" " << (*diff_kernel_base_ptr)(ii, 1) <<
" "
172 << (*kernel_base_ptr)(ii, 1) * (1 - s * s) <<
" "
173 << (*kernel_base_ptr)(ii, 1) * (-2 * s) +
174 (*diff_kernel_base_ptr)(ii, 1) * (1 - s * s)
177 std::cout <<
"LobattoPolynomial\n";
178 std::cout << pts_1d << std::endl;
179 std::cout << *base_ptr << std::endl;
180 std::cout << *diff_base_ptr << std::endl;
184 std::cout << sum << std::endl;
185 std::cout << diff_sum << std::endl;
186 if (fabs(9.39466 - sum) >
eps) {
189 if (fabs(14.0774 - diff_sum) >
eps) {
195 double diff_sum =
sum_matrix(*diff_kernel_base_ptr);
196 std::cout << sum << std::endl;
197 std::cout << diff_sum << std::endl;
198 if (fabs(-13.9906 * 4 - sum) >
eps) {
201 if (fabs(-101.678 * 4 - diff_sum) >
eps) {
207 if (choice_value == JACOBIPOLYNOMIAL) {
211 pts_1d.resize(1,
n,
false);
213 for (
int ii = 0; ii !=
n; ii++) {
214 pts_1d(0, ii) = (
double)ii / (
n - 1);
219 diff_base_ptr->clear();
226 5, &diff_x, &diff_t, 1, 0, base_ptr, diff_base_ptr)));
228 for (
int ii = 0; ii !=
n; ii++) {
229 double s = pts_1d(0, ii);
230 std::cerr <<
"jacobi_plot " << s <<
" " << (*base_ptr)(ii, 4) <<
" "
231 << (*diff_base_ptr)(ii, 4) << std::endl;
233 for (
int ii = 0; ii !=
n - 1; ii++) {
234 double s = (pts_1d(0, ii) + pts_1d(0, ii + 1)) / 2;
235 std::cerr <<
"jacobi_diff_plot_fd " << s <<
" "
236 << ((*base_ptr)(ii + 1, 4) - (*base_ptr)(ii, 4)) /
240 std::cout <<
"JacobiPolynomial\n";
241 std::cout << pts_1d << std::endl;
242 std::cout << *base_ptr << std::endl;
243 std::cout << *diff_base_ptr << std::endl;
247 std::cout << sum << std::endl;
248 std::cout << diff_sum << std::endl;
249 if (fabs(23.2164 - sum) >
eps) {
252 if (fabs(167.995 - diff_sum) >
eps) {
258 if (choice_value == INTEGRATEDJACOBIPOLYNOMIAL) {
262 pts_1d.resize(1,
n,
false);
264 for (
int ii = 0; ii !=
n; ii++) {
265 pts_1d(0, ii) = (
double)ii / 20.;
266 pts_1d_t(0, ii) = 1 - pts_1d(0, ii);
270 diff_base_ptr->clear();
277 6, &diff_x, &diff_t, 1, 1, base_ptr, diff_base_ptr)));
279 for (
int ii = 0; ii !=
n; ii++) {
280 double s = pts_1d(0, ii);
281 std::cerr <<
"integrated_jacobi_plot " << s <<
" " << (
double)ii / 20.
282 <<
" " << (*base_ptr)(ii, 1) <<
" " << (*base_ptr)(ii, 2)
283 <<
" " << (*base_ptr)(ii, 3) <<
" " << (*base_ptr)(ii, 4)
284 <<
" " << (*base_ptr)(ii, 5) << endl;
288 std::cout <<
"IntegratedJacobiPolynomial\n";
289 std::cout << pts_1d << std::endl;
290 std::cout << *base_ptr << std::endl;
291 std::cout << *diff_base_ptr << std::endl;
295 std::cout << sum << std::endl;
296 std::cout << diff_sum << std::endl;
316 for (
int ee = 0; ee < 6; ee++) {
321 for (
int ff = 0; ff < 4; ff++) {
327 tet_data.
dataOnEntities[MBVERTEX][0].getBBNodeOrder().resize(4,
false);
328 std::fill(tet_data.
dataOnEntities[MBVERTEX][0].getBBNodeOrder().begin(),
334 pts_tet.resize(3, nb_gauss_pts,
false);
335 cblas_dcopy(nb_gauss_pts, &
QUAD_3D_TABLE[tet_rule]->points[1], 4,
337 cblas_dcopy(nb_gauss_pts, &
QUAD_3D_TABLE[tet_rule]->points[2], 4,
339 cblas_dcopy(nb_gauss_pts, &
QUAD_3D_TABLE[tet_rule]->points[3], 4,
346 cblas_dcopy(4 * nb_gauss_pts,
QUAD_3D_TABLE[tet_rule]->points, 1,
350 const int cannonical_tet_face[4][3] = {
351 {0, 1, 3}, {1, 2, 3}, {0, 3, 2}, {0, 2, 1}};
352 for (
int ff = 0; ff < 4; ff++) {
353 for (
int nn = 0; nn < 3; nn++) {
354 tet_data.
facesNodes(ff, nn) = cannonical_tet_face[ff][nn];
358 if (choice_value == H1TET_AINSWORTH) {
364 &pts_tet(0, 0), &pts_tet(1, 0), &pts_tet(2, 0), nb_gauss_pts);
378 double sum = 0, diff_sum = 0;
379 std::cout <<
"Edges\n";
380 for (
int ee = 0; ee < 6; ee++) {
392 std::cout <<
"Faces\n";
393 for (
int ff = 0; ff < 4; ff++) {
405 std::cout <<
"Tets\n";
416 std::cout <<
"sum " << sum << std::endl;
417 std::cout <<
"diff_sum " << diff_sum << std::endl;
418 if (fabs(1.3509 - sum) >
eps) {
421 if (fabs(0.233313 - diff_sum) >
eps) {
426 if (choice_value == H1TET_BERNSTEIN_BEZIER) {
432 &pts_tet(0, 0), &pts_tet(1, 0), &pts_tet(2, 0), nb_gauss_pts);
443 double sum = 0, diff_sum = 0;
444 std::cout <<
"Vertices\n";
445 std::cout << tet_data.
dataOnEntities[MBVERTEX][0].getN(
"TEST_FIELD")
447 std::cout << tet_data.
dataOnEntities[MBVERTEX][0].getDiffN(
"TEST_FIELD")
453 std::cout <<
"Edges\n";
454 for (
int ee = 0; ee < 6; ee++) {
455 std::cout << tet_data.
dataOnEntities[MBEDGE][ee].getN(
"TEST_FIELD")
457 std::cout << tet_data.
dataOnEntities[MBEDGE][ee].getDiffN(
"TEST_FIELD")
464 std::cout <<
"Faces\n";
465 for (
int ff = 0; ff < 4; ff++) {
466 std::cout << tet_data.
dataOnEntities[MBTRI][ff].getN(
"TEST_FIELD")
468 std::cout << tet_data.
dataOnEntities[MBTRI][ff].getDiffN(
"TEST_FIELD")
475 std::cout <<
"Tets\n";
478 std::cout << tet_data.
dataOnEntities[MBTET][0].getDiffN(
"TEST_FIELD")
483 std::cout <<
"sum " << sum << std::endl;
484 std::cout <<
"diff_sum " << diff_sum << std::endl;
485 if (fabs(4.38395 - sum) >
eps) {
488 if (fabs(diff_sum) >
eps) {
493 if (choice_value == HDIVTET_AINSWORTH) {
498 double sum = 0, diff_sum = 0;
499 std::cout <<
"Faces\n";
500 for (
int ff = 0; ff < 4; ff++) {
512 std::cout <<
"Tets\n";
523 std::cout <<
"sum " << 1e8 * sum << std::endl;
524 std::cout <<
"diff_sum " << 1e8 * diff_sum << std::endl;
525 if (fabs(0.178713 - sum) >
eps) {
528 if (fabs(31.6048 - diff_sum) >
eps) {
533 if (choice_value == HDIVTET_DEMKOWICZ) {
538 double sum = 0, diff_sum = 0;
539 std::cout <<
"Faces\n";
540 for (
int ff = 0; ff < 4; ff++) {
552 std::cout <<
"Tets\n";
562 std::cout <<
"sum " << sum << std::endl;
563 std::cout <<
"diff_sum " << diff_sum << std::endl;
564 const double expected_result = -2.70651;
565 const double expected_diff_result = 289.421;
566 if (fabs((expected_result - sum) / expected_result) >
eps) {
569 if (fabs((expected_diff_result - diff_sum) / expected_diff_result) >
575 if (choice_value == HCURLTET_AINSWORTH) {
580 double sum = 0, diff_sum = 0;
581 std::cout <<
"Edges\n";
582 for (
int ee = 0; ee < 6; ee++) {
594 std::cout <<
"Faces\n";
595 for (
int ff = 0; ff < 4; ff++) {
607 std::cout <<
"Tets\n";
618 std::cout <<
"sum " << sum << std::endl;
619 std::cout <<
"diff_sum " << diff_sum << std::endl;
620 if (fabs(-1.7798 - sum) >
eps) {
623 if (fabs(-67.1793 - diff_sum) >
eps) {
628 if (choice_value == HCURLTET_DEMKOWICZ) {
632 double sum = 0, diff_sum = 0;
633 std::cout <<
"Edges\n";
634 for (
int ee = 0; ee < 6; ee++) {
646 std::cout <<
"Faces\n";
647 for (
int ff = 0; ff < 4; ff++) {
659 std::cout <<
"Tets\n";
669 std::cout <<
"sum " << sum << std::endl;
670 std::cout <<
"diff_sum " << diff_sum << std::endl;
671 if (fabs(7.35513 - sum) >
eps) {
674 if (fabs(62.4549 - diff_sum) >
eps) {
679 if (choice_value == L2TET) {
684 double sum = 0, diff_sum = 0;
685 std::cout <<
"Tets\n";
696 std::cout <<
"sum " << sum << std::endl;
697 std::cout <<
"diff_sum " << diff_sum << std::endl;
698 if (fabs(3.60352 - sum) >
eps) {
701 if (fabs(-36.9994 - diff_sum) >
eps) {
716 for (
int ee = 0; ee < 3; ee++) {
722 tri_data.
dataOnEntities[MBVERTEX][0].getBBNodeOrder().resize(3,
false);
723 std::fill(tri_data.
dataOnEntities[MBVERTEX][0].getBBNodeOrder().begin(),
729 pts_tri.resize(2, nb_gauss_pts,
false);
730 cblas_dcopy(nb_gauss_pts, &
QUAD_2D_TABLE[tri_rule]->points[1], 3,
732 cblas_dcopy(nb_gauss_pts, &
QUAD_2D_TABLE[tri_rule]->points[2], 3,
739 cblas_dcopy(3 * nb_gauss_pts,
QUAD_2D_TABLE[tri_rule]->points, 1,
747 if (choice_value == H1TRI_AINSWORTH) {
756 double sum = 0, diff_sum = 0;
757 std::cout <<
"Edges\n";
758 for (
int ee = 0; ee < 3; ee++) {
770 std::cout <<
"Face\n";
781 std::cout <<
"sum " << sum << std::endl;
782 std::cout <<
"diff_sum " << diff_sum << std::endl;
783 if (fabs(0.805556 - sum) >
eps)
786 if (fabs(0.0833333 - diff_sum) >
eps)
790 if (choice_value == H1TRI_BERNSTEIN_BEZIER) {
800 "Pointers should be diffrent");
802 double sum = 0, diff_sum = 0;
803 std::cout <<
"Vertex\n";
804 std::cout << tri_data.
dataOnEntities[MBVERTEX][0].getN(
"TET_FIELD")
806 std::cout << tri_data.
dataOnEntities[MBVERTEX][0].getDiffN(
"TET_FIELD")
811 std::cout <<
"Edges\n";
812 for (
int ee = 0; ee < 3; ee++) {
813 std::cout << tri_data.
dataOnEntities[MBEDGE][ee].getN(
"TET_FIELD")
815 std::cout << tri_data.
dataOnEntities[MBEDGE][ee].getDiffN(
"TET_FIELD")
822 std::cout <<
"Face\n";
825 std::cout << tri_data.
dataOnEntities[MBTRI][0].getDiffN(
"TET_FIELD")
830 std::cout <<
"sum " << sum << std::endl;
831 std::cout <<
"diff_sum " << diff_sum << std::endl;
832 if (std::abs(3.01389 - sum) >
eps)
835 if (std::abs(diff_sum) >
eps)
837 "wrong result %3.4e != %3.4e", 0., diff_sum);
840 if (choice_value == HDIVTRI_AINSWORTH) {
850 std::cout <<
"Face\n";
856 std::cout <<
"sum " << sum << std::endl;
857 if (fabs(2.21296 - sum) >
eps)
861 if (choice_value == HDIVTRI_DEMKOWICZ) {
872 std::cout <<
"Face\n";
877 std::cout <<
"sum " << sum << std::endl;
878 const double expected_result = 28.25;
879 if (fabs((expected_result - sum) / expected_result) >
eps) {
884 if (choice_value == HCURLTRI_AINSWORTH) {
895 std::cout <<
"Edges\n";
896 for (
int ee = 0; ee < 3; ee++) {
903 std::cout <<
"Face\n";
909 std::cout <<
"sum " << sum << std::endl;
910 if (fabs(0.333333 - sum) >
eps) {
915 if (choice_value == HCURLTRI_DEMKOWICZ) {
925 std::cout <<
"Edges\n";
926 for (
int ee = 0; ee < 3; ee++) {
933 std::cout <<
"Face\n";
938 std::cout <<
"sum " << sum << std::endl;
939 if (fabs(1.04591 - sum) >
eps) {
944 if (choice_value == L2TRI) {
955 std::cout <<
"Face\n";
961 std::cout <<
"sum " << sum << std::endl;
962 if (fabs(0.671875 - sum) >
eps) {
979 edge_data.
dataOnEntities[MBVERTEX][0].getBBNodeOrder().resize(2,
false);
980 std::fill(edge_data.
dataOnEntities[MBVERTEX][0].getBBNodeOrder().begin(),
986 pts_edge.resize(2, nb_gauss_pts,
false);
987 cblas_dcopy(nb_gauss_pts, &
QUAD_1D_TABLE[edge_rule]->points[1], 2,
989 cblas_dcopy(nb_gauss_pts,
QUAD_1D_TABLE[edge_rule]->weights, 1,
997 cblas_dcopy(2 * nb_gauss_pts,
QUAD_1D_TABLE[edge_rule]->points, 1,
1001 if (choice_value == H1EDGE_AINSWORTH) {
1010 double sum = 0, diff_sum = 0;
1011 std::cout <<
"Edge\n";
1022 std::cout <<
"sum " << sum << std::endl;
1023 std::cout <<
"diff sum " << diff_sum << std::endl;
1024 if (std::abs(0.506122 - sum) >
eps)
1027 if (std::abs(-0.571429 - diff_sum) >
eps)
1031 if (choice_value == H1EDGE_BERNSTEIN_BEZIER) {
1041 "Should be diffrent pointers");
1043 double sum = 0, diff_sum = 0;
1044 std::cout <<
"Vertex\n";
1045 std::cout << edge_data.
dataOnEntities[MBVERTEX][0].getN(
"TET_FIELD")
1047 std::cout << edge_data.
dataOnEntities[MBVERTEX][0].getDiffN(
"TET_FIELD")
1049 std::cout <<
"Edge\n";
1050 std::cout << edge_data.
dataOnEntities[MBEDGE][0].getN(
"TET_FIELD")
1052 std::cout << edge_data.
dataOnEntities[MBEDGE][0].getDiffN(
"TET_FIELD")
1061 std::cout <<
"sum " << sum << std::endl;
1062 std::cout <<
"diff sum " << diff_sum << std::endl;
1063 if (std::abs(4 - sum) >
eps)
1066 if (std::abs(diff_sum) >
eps)
1070 if (choice_value == HCURLEDGE_AINSWORTH) {
1086 std::cout.precision(std::numeric_limits<double>::max_digits10 - 1);
1087 std::cout <<
"sum " << sum << std::endl;
1088 if (fabs(-4.174149659863944 - sum) >
eps) {
1093 if (choice_value == HCURLEDGE_DEMKOWICZ) {
1107 std::cout.precision(std::numeric_limits<double>::max_digits10 - 1);
1108 std::cout <<
"sum " << sum << std::endl;
1109 if (std::fabs(4.571428571428571 - sum) >
eps) {
1114 if (choice_value == L2EDGE) {
1132 std::cout <<
"sum " << sum << std::endl;
1133 if (std::fabs(sum) >
eps) {
1136 "Difference between ainsworth and demkowicz base should be zero");
1143 if (base.size1() != pts_edge.size2())
1145 "wrong number of integration points");
1148 "wrong number of base functions");
1151 for (
auto gg = 0; gg != pts_edge.size2(); ++gg) {
1152 double w = pts_edge(1, gg);
1156 ort_sum += base(gg,
i) * base(gg,
j) * w;
1161 std::cout <<
"ort sum " << ort_sum << std::endl;
1162 if (std::fabs(ort_sum) >
eps) {
1165 "check orthogonality of base");
1170 double ort_diff_sum = 0;
1171 for (
auto gg = 0; gg != pts_edge.size2(); ++gg) {
1172 double w = pts_edge(1, gg);
1176 ort_diff_sum += diff_base(gg,
i) * diff_base(gg,
j) * w;
1181 std::cout <<
"ort diff sum " << ort_diff_sum << std::endl;
1182 if (std::fabs(ort_diff_sum) >
eps) {
1184 "check orthogonality of diff lobatto base");
1196 for (
int ee = 0; ee < 4; ee++) {
1208 nb_gauss_pts = pts_quad.size2();
1213 for (
int i = 0;
i < nb_gauss_pts; ++
i) {
1241 if (choice_value == H1QUAD) {
1250 double sum = 0, diff_sum = 0;
1251 for (
int ee = 0; ee < 4; ee++) {
1262 std::cout << sum <<
" " << diff_sum << endl;
1264 if (std::abs(3.58249 - sum) >
eps)
1268 if (std::abs(-0.134694 - diff_sum) >
eps)