/// @file /// Test assembly of operator diagonal for operator with multiple active bases /// \test Test assembly of operator diagonal for operator with multiple active bases #include "t539-operator.h" #include #include #include #include int main(int argc, char **argv) { Ceed ceed; CeedElemRestriction elem_restriction_x, elem_restriction_u_0, elem_restriction_u_1, elem_restr_q_data_mass, elem_restr_q_data_diff; CeedBasis basis_x, basis_u_0, basis_u_1; 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, assembled, u, v; CeedInt num_elem = 6, p_0 = 2, p_1 = 3, q = 4, dim = 2, num_comp_0 = 2, num_comp_1 = 1; CeedInt n_x = 3, n_y = 2; CeedInt num_dofs_0 = (n_x * (p_0 - 1) + 1) * (n_y * (p_0 - 1) + 1), num_dofs_1 = (n_x * (p_1 - 1) + 1) * (n_y * (p_1 - 1) + 1); CeedInt num_qpts = num_elem * q * q; CeedInt ind_u_0[num_elem * p_0 * p_0], ind_u_1[num_elem * p_1 * p_1]; CeedScalar assembled_true[num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1]; CeedInit(argv[1], &ceed); // Vectors CeedVectorCreate(ceed, dim * num_dofs_0, &x); { CeedScalar x_array[dim * num_dofs_0]; for (CeedInt i = 0; i < n_x * (p_0 - 1) + 1; i++) { for (CeedInt j = 0; j < n_y * (p_0 - 1) + 1; j++) { x_array[i + j * (n_x * (p_0 - 1) + 1) + 0 * num_dofs_0] = (CeedScalar)i / ((p_0 - 1) * n_x); x_array[i + j * (n_x * (p_0 - 1) + 1) + 1 * num_dofs_0] = (CeedScalar)j / ((p_0 - 1) * n_y); } } CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); } CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &u); CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &v); CeedVectorCreate(ceed, num_qpts, &q_data_mass); CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); // Restrictions for (CeedInt i = 0; i < num_elem; i++) { CeedInt col, row, offset; col = i % n_x; row = i / n_x; offset = col * (p_0 - 1) + row * (n_x * (p_0 - 1) + 1) * (p_0 - 1); for (CeedInt j = 0; j < p_0; j++) { for (CeedInt k = 0; k < p_0; k++) ind_u_0[p_0 * (p_0 * i + k) + j] = offset + k * (n_x * (p_0 - 1) + 1) + j; } offset = col * (p_1 - 1) + row * (n_x * (p_1 - 1) + 1) * (p_1 - 1) + num_dofs_0 * num_comp_0; for (CeedInt j = 0; j < p_1; j++) { for (CeedInt k = 0; k < p_1; k++) ind_u_1[p_1 * (p_1 * i + k) + j] = offset + k * (n_x * (p_1 - 1) + 1) + j; } } CeedElemRestrictionCreate(ceed, num_elem, p_0 * p_0, dim, num_dofs_0, dim * num_dofs_0, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_0, &elem_restriction_x); CeedElemRestrictionCreate(ceed, num_elem, p_0 * p_0, num_comp_0, num_dofs_0, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_0, &elem_restriction_u_0); CeedElemRestrictionCreate(ceed, num_elem, p_1 * p_1, num_comp_1, num_dofs_1, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_1, &elem_restriction_u_1); CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restr_q_data_mass); CeedInt strides_q_data_diff[3] = {1, q * q, dim * (dim + 1) / 2 * q * q}; CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, &elem_restr_q_data_diff); // Bases CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_0, q, CEED_GAUSS, &basis_x); CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_0, p_0, q, CEED_GAUSS, &basis_u_0); CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_1, p_1, q, CEED_GAUSS, &basis_u_1); // QFunction - setup mass CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); // Operator - setup mass CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); // QFunction - setup diffusion CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); // Operator - setup diffusion CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_q_data_diff, CEED_BASIS_NONE, 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_0", num_comp_0 * 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_0", num_comp_0, CEED_EVAL_INTERP); CeedQFunctionAddInput(qf_apply, "u_1", num_comp_1, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply, "v_0", num_comp_0, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply, "v_1", num_comp_1, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply, "dv_0", num_comp_0 * dim, CEED_EVAL_GRAD); // Operator - apply CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); CeedOperatorSetField(op_apply, "du_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "mass qdata", elem_restr_q_data_mass, CEED_BASIS_NONE, q_data_mass); CeedOperatorSetField(op_apply, "diff qdata", elem_restr_q_data_diff, CEED_BASIS_NONE, q_data_diff); CeedOperatorSetField(op_apply, "u_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "u_1", elem_restriction_u_1, basis_u_1, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "v_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "v_1", elem_restriction_u_1, basis_u_1, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "dv_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); // Assemble diagonal CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &assembled); CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE); // Manually assemble diagonal CeedVectorSetValue(u, 0.0); for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) assembled_true[i] = 0.0; for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) { // Set input CeedScalar *u_array; const CeedScalar *v_array; CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); u_array[i] = 1.0; if (i) u_array[i - 1] = 0.0; CeedVectorRestoreArray(u, &u_array); // Compute diag entry for DoF i CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); // Retrieve entry CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); assembled_true[i] = v_array[i]; CeedVectorRestoreArrayRead(v, &v_array); } // Check output { const CeedScalar *assembled_array; CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) { if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) { // LCOV_EXCL_START printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); // LCOV_EXCL_STOP } } CeedVectorRestoreArrayRead(assembled, &assembled_array); } // Cleanup CeedVectorDestroy(&x); CeedVectorDestroy(&assembled); CeedVectorDestroy(&u); CeedVectorDestroy(&v); CeedVectorDestroy(&q_data_mass); CeedVectorDestroy(&q_data_diff); CeedElemRestrictionDestroy(&elem_restriction_x); CeedElemRestrictionDestroy(&elem_restriction_u_0); CeedElemRestrictionDestroy(&elem_restriction_u_1); CeedElemRestrictionDestroy(&elem_restr_q_data_mass); CeedElemRestrictionDestroy(&elem_restr_q_data_diff); CeedBasisDestroy(&basis_x); CeedBasisDestroy(&basis_u_0); CeedBasisDestroy(&basis_u_1); CeedQFunctionDestroy(&qf_setup_mass); CeedQFunctionDestroy(&qf_setup_diff); CeedQFunctionDestroy(&qf_apply); CeedOperatorDestroy(&op_setup_mass); CeedOperatorDestroy(&op_setup_diff); CeedOperatorDestroy(&op_apply); CeedDestroy(&ceed); return 0; }