/// @file /// Test full assembly of mass and Poisson operator (see t535) /// \test Test full assembly of mass and Poisson operator #include #include #include #include "t535-operator.h" int main(int argc, char **argv) { Ceed ceed; CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff; 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 p = 3, q = 4, dim = 2; CeedInt n_x = 3, n_y = 2; CeedInt num_elem = n_x * n_y; 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 assembled_values[num_dofs * num_dofs]; CeedScalar assembled_true[num_dofs * num_dofs]; CeedInit(argv[1], &ceed); // Vectors CeedVectorCreate(ceed, dim * num_dofs, &x); { CeedScalar x_array[dim * num_dofs]; for (CeedInt i = 0; i < n_x * 2 + 1; i++) { for (CeedInt j = 0; j < n_y * 2 + 1; j++) { x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); } } CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); } CeedVectorCreate(ceed, num_dofs, &u); CeedVectorCreate(ceed, num_dofs, &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 column, row, offset; column = i % n_x; row = i / n_x; offset = column * (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; } } CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 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_restriction_q_data_mass); CeedInt strides_q_data_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_q_data_diff, &elem_restriction_q_data_diff); // 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, "q data", 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_restriction_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, 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, "q data", 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_restriction_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, 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 q data", 1, CEED_EVAL_NONE); CeedQFunctionAddInput(qf_apply, "diff q data", 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_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, q_data_mass); CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, q_data_diff); CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); // Fully assemble operator CeedSize num_entries; CeedInt *rows; CeedInt *cols; CeedVector assembled; for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) { assembled_values[k] = 0.0; assembled_true[k] = 0.0; } CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); CeedVectorCreate(ceed, num_entries, &assembled); CeedOperatorLinearAssemble(op_apply, assembled); { const CeedScalar *assembled_array; CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; CeedVectorRestoreArrayRead(assembled, &assembled_array); } // Manually assemble operator CeedVectorSetValue(u, 0.0); for (CeedInt i = 0; i < num_dofs; 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 entries for column i CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); for (CeedInt k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v_array[k]; CeedVectorRestoreArrayRead(v, &v_array); } // Check output for (CeedInt i = 0; i < num_dofs; i++) { for (CeedInt j = 0; j < num_dofs; j++) { if (fabs(assembled_values[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_values[j * num_dofs + i], assembled_true[j * num_dofs + i]); // LCOV_EXCL_STOP } } } // Cleanup free(rows); free(cols); CeedVectorDestroy(&x); CeedVectorDestroy(&q_data_mass); CeedVectorDestroy(&q_data_diff); CeedVectorDestroy(&u); CeedVectorDestroy(&v); CeedVectorDestroy(&assembled); CeedElemRestrictionDestroy(&elem_restriction_u); CeedElemRestrictionDestroy(&elem_restriction_x); CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); CeedBasisDestroy(&basis_u); CeedBasisDestroy(&basis_x); 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; }