/// @file /// Test assembly of mass and Poisson operator diagonal /// \test Test assembly of mass and Poisson operator diagonal #include "t535-operator.h" #include #include #include 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, A, U, V; CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; CeedInt n_x = 3, n_y = 2; CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * Q * Q; CeedInt ind_x[num_elem * P * P]; CeedScalar x[dim * num_dofs], assembled_true[num_dofs]; CeedScalar *u; const CeedScalar *a, *v; CeedInit(argv[1], &ceed); // DoF Coordinates for (CeedInt i = 0; i < n_x * 2 + 1; i++) { for (CeedInt j = 0; j < n_y * 2 + 1; j++) { x[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); x[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); } } 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; i++) { CeedInt col, row, offset; col = i % n_x; row = i / n_x; offset = col * (P - 1) + row * (n_x * 2 + 1) * (P - 1); for (CeedInt j = 0; j < P; j++) { for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (n_x * 2 + 1) + j; } } // Restrictions CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); CeedInt strides_qd_mass[3] = {1, Q * Q, Q * Q}; CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); CeedInt strides_qd_diff[3] = {1, Q * Q, Q * Q * dim * (dim + 1) / 2}; CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, &elem_restr_qd_diff_i); // Bases CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &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); // Assemble diagonal CeedVectorCreate(ceed, num_dofs, &A); CeedOperatorLinearAssembleDiagonal(op_apply, A, CEED_REQUEST_IMMEDIATE); // Manually assemble diagonal 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 diag entry for DoF i CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); // Retrieve entry CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); assembled_true[i] = v[i]; CeedVectorRestoreArrayRead(V, &v); } // Check output CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); for (int i = 0; i < num_dofs; i++) { if (fabs(a[i] - assembled_true[i]) > 100. * CEED_EPSILON) printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); } CeedVectorRestoreArrayRead(A, &a); // Cleanup 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(&A); CeedVectorDestroy(&q_data_mass); CeedVectorDestroy(&q_data_diff); CeedVectorDestroy(&U); CeedVectorDestroy(&V); CeedDestroy(&ceed); return 0; }