/// @file /// Test assembly of Poisson operator QFunction /// \test Test assembly of Poisson operator QFunction #include "t531-operator.h" #include #include #include int main(int argc, char **argv) { Ceed ceed; CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_i, elem_restr_lin_i; CeedBasis basis_x, basis_u; CeedQFunction qf_setup, qf_diff, qf_diff_lin; CeedOperator op_setup, op_diff, op_diff_lin; CeedVector q_data, X, A, u, v; CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; CeedInt nx = 3, ny = 2; CeedInt num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * Q * Q; CeedInt ind_x[num_elem * P * P]; CeedScalar x[dim * num_dofs]; CeedInit(argv[1], &ceed); // DoF Coordinates for (CeedInt i = 0; i < nx * 2 + 1; i++) { for (CeedInt j = 0; j < ny * 2 + 1; j++) { x[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx); x[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny); } } CeedVectorCreate(ceed, dim * num_dofs, &X); CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); // Qdata Vector CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data); // Element Setup for (CeedInt i = 0; i < num_elem; i++) { CeedInt col, row, offset; col = i % nx; row = i / nx; offset = col * (P - 1) + row * (nx * 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 * (nx * 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[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, &elem_restr_qd_i); // Bases CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); // QFunction - setup CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); CeedQFunctionAddOutput(qf_setup, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); // Operator - setup CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); // Apply Setup Operator CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); // QFunction - apply CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); // Operator - apply CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); CeedOperatorSetField(op_diff, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, q_data); CeedOperatorSetField(op_diff, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); // Apply original Poisson Operator CeedVectorCreate(ceed, num_dofs, &u); CeedVectorSetValue(u, 1.0); CeedVectorCreate(ceed, num_dofs, &v); CeedVectorSetValue(v, 0.0); CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); // Check output const CeedScalar *vv; CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); for (CeedInt i = 0; i < num_dofs; i++) { if (fabs(vv[i]) > 100. * CEED_EPSILON) printf("Error: Operator computed v[%" CeedInt_FMT "] = %f != 0.0\n", i, vv[i]); } CeedVectorRestoreArrayRead(v, &vv); // Assemble QFunction CeedOperatorSetQFunctionAssemblyReuse(op_diff, true); CeedOperatorLinearAssembleQFunction(op_diff, &A, &elem_restr_lin_i, CEED_REQUEST_IMMEDIATE); // Second call will be no-op since SetQFunctionUpdated was not called CeedOperatorSetQFunctionAssemblyDataUpdateNeeded(op_diff, false); CeedOperatorLinearAssembleQFunction(op_diff, &A, &elem_restr_lin_i, CEED_REQUEST_IMMEDIATE); // QFunction - apply assembled CeedQFunctionCreateInterior(ceed, 1, diff_lin, diff_lin_loc, &qf_diff_lin); CeedQFunctionAddInput(qf_diff_lin, "du", dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_diff_lin, "qdata", dim * dim, CEED_EVAL_NONE); CeedQFunctionAddOutput(qf_diff_lin, "dv", dim, CEED_EVAL_GRAD); // Operator - apply assembled CeedOperatorCreate(ceed, qf_diff_lin, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_lin); CeedOperatorSetField(op_diff_lin, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_diff_lin, "qdata", elem_restr_lin_i, CEED_BASIS_COLLOCATED, A); CeedOperatorSetField(op_diff_lin, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); // Apply new Poisson Operator CeedVectorSetValue(v, 0.0); CeedOperatorApply(op_diff_lin, u, v, CEED_REQUEST_IMMEDIATE); // Check output CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); for (CeedInt i = 0; i < num_dofs; i++) { if (fabs(vv[i]) > 100. * CEED_EPSILON) printf("Error: Linearized operator computed v[i] = %f != 0.0\n", vv[i]); } CeedVectorRestoreArrayRead(v, &vv); // Cleanup CeedQFunctionDestroy(&qf_setup); CeedQFunctionDestroy(&qf_diff); CeedQFunctionDestroy(&qf_diff_lin); CeedOperatorDestroy(&op_setup); CeedOperatorDestroy(&op_diff); CeedOperatorDestroy(&op_diff_lin); CeedElemRestrictionDestroy(&elem_restr_u); CeedElemRestrictionDestroy(&elem_restr_x); CeedElemRestrictionDestroy(&elem_restr_qd_i); CeedElemRestrictionDestroy(&elem_restr_lin_i); CeedBasisDestroy(&basis_u); CeedBasisDestroy(&basis_x); CeedVectorDestroy(&X); CeedVectorDestroy(&A); CeedVectorDestroy(&q_data); CeedVectorDestroy(&u); CeedVectorDestroy(&v); CeedDestroy(&ceed); return 0; }