/// @file /// Test full assembly of mass and Poisson operator (see t536) /// \test Test full assembly of mass and Poisson operator #include #include #include #include "t320-basis.h" #include "t535-operator.h" int main(int argc, char **argv) { Ceed ceed; CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_mass_i, elem_restr_qd_diff_i; CeedBasis basis_x, basis_u; CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; CeedOperator op_setup_mass, op_setup_diff, op_apply; CeedVector q_data_mass, q_data_diff, X, U, V; CeedInt num_elem = 12, dim = 2, P = 6, Q = 4; CeedInt n_x = 3, n_y = 2; CeedInt row, col, offset; CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * Q; CeedInt ind_x[num_elem * P * P]; CeedScalar assembled[num_dofs * num_dofs]; CeedScalar x[dim * num_dofs], assembled_true[num_dofs * num_dofs]; CeedScalar q_ref[dim * Q], q_weight[Q]; CeedScalar interp[P * Q], grad[dim * P * Q]; CeedScalar *u; const CeedScalar *v; CeedInit(argv[1], &ceed); // DoF Coordinates for (CeedInt i = 0; i < num_dofs; i++) { x[i] = (1. / (n_x * 2)) * (CeedScalar)(i % (n_x * 2 + 1)); x[i + num_dofs] = (1. / (n_y * 2)) * (CeedScalar)(i / (n_x * 2 + 1)); } CeedVectorCreate(ceed, dim * num_dofs, &X); CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); // Qdata Vectors CeedVectorCreate(ceed, num_qpts, &q_data_mass); CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); // Element Setup for (CeedInt i = 0; i < num_elem / 2; i++) { col = i % n_x; row = i / n_x; offset = col * 2 + row * (n_x * 2 + 1) * 2; ind_x[i * 2 * P + 0] = 2 + offset; ind_x[i * 2 * P + 1] = 9 + offset; ind_x[i * 2 * P + 2] = 16 + offset; ind_x[i * 2 * P + 3] = 1 + offset; ind_x[i * 2 * P + 4] = 8 + offset; ind_x[i * 2 * P + 5] = 0 + offset; ind_x[i * 2 * P + 6] = 14 + offset; ind_x[i * 2 * P + 7] = 7 + offset; ind_x[i * 2 * P + 8] = 0 + offset; ind_x[i * 2 * P + 9] = 15 + offset; ind_x[i * 2 * P + 10] = 8 + offset; ind_x[i * 2 * P + 11] = 16 + offset; } // Restrictions CeedElemRestrictionCreate(ceed, num_elem, P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); CeedElemRestrictionCreate(ceed, num_elem, P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); CeedInt strides_qd_mass[3] = {1, Q, Q}; CeedElemRestrictionCreateStrided(ceed, num_elem, Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); CeedInt strides_qd_diff[3] = {1, Q, Q * dim * (dim + 1) / 2}; CeedElemRestrictionCreateStrided(ceed, num_elem, Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, &elem_restr_qd_diff_i); // Bases buildmats(q_ref, q_weight, interp, grad); CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, P, Q, interp, grad, q_ref, q_weight, &basis_x); buildmats(q_ref, q_weight, interp, grad); CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P, Q, interp, grad, q_ref, q_weight, &basis_u); // QFunction - setup mass CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); // Operator - setup mass CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); // QFunction - setup diff CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); // Operator - setup diff CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); // Apply Setup Operators CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); // QFunction - apply CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); // Operator - apply CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, q_data_mass); CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, q_data_diff); CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); // Fully assemble operator for (int k = 0; k < num_dofs * num_dofs; ++k) { assembled[k] = 0.0; assembled_true[k] = 0.0; } CeedSize num_entries; CeedInt *rows; CeedInt *cols; CeedVector values; CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); CeedVectorCreate(ceed, num_entries, &values); CeedOperatorLinearAssemble(op_apply, values); const CeedScalar *vals; CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); for (int k = 0; k < num_entries; ++k) assembled[rows[k] * num_dofs + cols[k]] += vals[k]; CeedVectorRestoreArrayRead(values, &vals); // Manually assemble operator CeedVectorCreate(ceed, num_dofs, &U); CeedVectorSetValue(U, 0.0); CeedVectorCreate(ceed, num_dofs, &V); for (int i = 0; i < num_dofs; i++) { // Set input CeedVectorGetArray(U, CEED_MEM_HOST, &u); u[i] = 1.0; if (i) u[i - 1] = 0.0; CeedVectorRestoreArray(U, &u); // Compute entries for column i CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); for (int k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v[k]; CeedVectorRestoreArrayRead(V, &v); } // Check output for (int i = 0; i < num_dofs; i++) { for (int j = 0; j < num_dofs; j++) { if (fabs(assembled[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { // LCOV_EXCL_START printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled[j * num_dofs + i], assembled_true[j * num_dofs + i]); // LCOV_EXCL_STOP } } } // Cleanup free(rows); free(cols); CeedVectorDestroy(&values); CeedQFunctionDestroy(&qf_setup_mass); CeedQFunctionDestroy(&qf_setup_diff); CeedQFunctionDestroy(&qf_apply); CeedOperatorDestroy(&op_setup_mass); CeedOperatorDestroy(&op_setup_diff); CeedOperatorDestroy(&op_apply); CeedElemRestrictionDestroy(&elem_restr_u); CeedElemRestrictionDestroy(&elem_restr_x); CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); CeedBasisDestroy(&basis_u); CeedBasisDestroy(&basis_x); CeedVectorDestroy(&X); CeedVectorDestroy(&q_data_mass); CeedVectorDestroy(&q_data_diff); CeedVectorDestroy(&U); CeedVectorDestroy(&V); CeedDestroy(&ceed); return 0; }