/// @file /// Test creation, action, and destruction for diffusion matrix operator /// \test Test creation, action, and destruction for diffusion matrix operator #include "t522-operator.h" #include #include #include #include "t320-basis.h" /* The mesh comprises of two rows of 3 quadralaterals followed by one row of 6 triangles: _ _ _ |_|_|_| |_|_|_| |/|/|/| */ int main(int argc, char **argv) { Ceed ceed; CeedElemRestriction elem_restr_x_tet, elem_restr_u_tet, elem_restr_qd_i_tet, elem_restr_x_hex, elem_restr_u_hex, elem_restr_qd_i_hex; CeedBasis basis_x_tet, basis_u_tet, basis_x_hex, basis_u_hex; CeedQFunction qf_setup_tet, qf_diff_tet, qf_setup_hex, qf_diff_hex; CeedOperator op_setup_tet, op_diff_tet, op_setup_hex, op_diff_hex, op_setup, op_diff; CeedVector q_data_tet, q_data_hex, X, U, V; const CeedScalar *hv; CeedInt num_elem_tet = 6, P_tet = 6, Q_tet = 4, num_elem_hex = 6, P_hex = 3, Q_hex = 4, dim = 2; CeedInt n_x = 3, n_y = 3, n_x_tet = 3, n_y_tet = 1, n_x_hex = 3; CeedInt row, col, offset; CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts_tet = num_elem_tet * Q_tet, num_qpts_hex = num_elem_hex * Q_hex * Q_hex; CeedInt ind_x_tet[num_elem_tet * P_tet], ind_x_hex[num_elem_hex * P_hex * P_hex]; CeedScalar x[dim * num_dofs]; CeedScalar q_ref[dim * Q_tet], q_weight[Q_tet]; CeedScalar interp[P_tet * Q_tet], grad[dim * P_tet * Q_tet]; CeedInit(argv[1], &ceed); // DoF Coordinates for (CeedInt i = 0; i < n_y * 2 + 1; i++) { for (CeedInt j = 0; j < n_x * 2 + 1; j++) { x[i + j * (n_y * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_y); x[i + j * (n_y * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_x); } } CeedVectorCreate(ceed, dim * num_dofs, &X); CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); // Qdata Vectors CeedVectorCreate(ceed, num_qpts_tet * dim * (dim + 1) / 2, &q_data_tet); CeedVectorCreate(ceed, num_qpts_hex * dim * (dim + 1) / 2, &q_data_hex); // Tet Elements for (CeedInt i = 0; i < num_elem_tet / 2; i++) { col = i % n_x_tet; row = i / n_x_tet; offset = col * 2 + row * (n_x_tet * 2 + 1) * 2; ind_x_tet[i * 2 * P_tet + 0] = 2 + offset; ind_x_tet[i * 2 * P_tet + 1] = 9 + offset; ind_x_tet[i * 2 * P_tet + 2] = 16 + offset; ind_x_tet[i * 2 * P_tet + 3] = 1 + offset; ind_x_tet[i * 2 * P_tet + 4] = 8 + offset; ind_x_tet[i * 2 * P_tet + 5] = 0 + offset; ind_x_tet[i * 2 * P_tet + 6] = 14 + offset; ind_x_tet[i * 2 * P_tet + 7] = 7 + offset; ind_x_tet[i * 2 * P_tet + 8] = 0 + offset; ind_x_tet[i * 2 * P_tet + 9] = 15 + offset; ind_x_tet[i * 2 * P_tet + 10] = 8 + offset; ind_x_tet[i * 2 * P_tet + 11] = 16 + offset; } // -- Restrictions CeedElemRestrictionCreate(ceed, num_elem_tet, P_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restr_x_tet); CeedElemRestrictionCreate(ceed, num_elem_tet, P_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restr_u_tet); CeedInt strides_qd_tet[3] = {1, Q_tet, Q_tet * dim * (dim + 1) / 2}; CeedElemRestrictionCreateStrided(ceed, num_elem_tet, Q_tet, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts_tet, strides_qd_tet, &elem_restr_qd_i_tet); // -- Bases buildmats(q_ref, q_weight, interp, grad); CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, P_tet, Q_tet, interp, grad, q_ref, q_weight, &basis_x_tet); buildmats(q_ref, q_weight, interp, grad); CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P_tet, Q_tet, interp, grad, q_ref, q_weight, &basis_u_tet); // -- QFunctions CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_tet); CeedQFunctionAddInput(qf_setup_tet, "weight", 1, CEED_EVAL_WEIGHT); CeedQFunctionAddInput(qf_setup_tet, "dx", dim * dim, CEED_EVAL_GRAD); CeedQFunctionAddOutput(qf_setup_tet, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE); CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff_tet); CeedQFunctionAddInput(qf_diff_tet, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE); CeedQFunctionAddInput(qf_diff_tet, "u", dim, CEED_EVAL_GRAD); CeedQFunctionAddOutput(qf_diff_tet, "v", dim, CEED_EVAL_GRAD); // -- Operators // ---- Setup Tet CeedOperatorCreate(ceed, qf_setup_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_tet); CeedOperatorSetField(op_setup_tet, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_tet, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_tet, "dx", elem_restr_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_tet, "rho", elem_restr_qd_i_tet, CEED_BASIS_COLLOCATED, q_data_tet); // ---- diff Tet CeedOperatorCreate(ceed, qf_diff_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_tet); CeedOperatorSetField(op_diff_tet, "rho", elem_restr_qd_i_tet, CEED_BASIS_COLLOCATED, q_data_tet); CeedOperatorSetField(op_diff_tet, "u", elem_restr_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_diff_tet, "v", elem_restr_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); // Hex Elements for (CeedInt i = 0; i < num_elem_hex; i++) { col = i % n_x_hex; row = i / n_x_hex; offset = (n_x_tet * 2 + 1) * (n_y_tet * 2) * (1 + row) + col * 2; for (CeedInt j = 0; j < P_hex; j++) { for (CeedInt k = 0; k < P_hex; k++) ind_x_hex[P_hex * (P_hex * i + k) + j] = offset + k * (n_x_hex * 2 + 1) + j; } } // -- Restrictions CeedElemRestrictionCreate(ceed, num_elem_hex, P_hex * P_hex, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, &elem_restr_x_hex); CeedElemRestrictionCreate(ceed, num_elem_hex, P_hex * P_hex, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, &elem_restr_u_hex); CeedInt strides_qd_hex[3] = {1, Q_hex * Q_hex, Q_hex * Q_hex * dim * (dim + 1) / 2}; CeedElemRestrictionCreateStrided(ceed, num_elem_hex, Q_hex * Q_hex, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts_hex, strides_qd_hex, &elem_restr_qd_i_hex); // -- Bases CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P_hex, Q_hex, CEED_GAUSS, &basis_x_hex); CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P_hex, Q_hex, CEED_GAUSS, &basis_u_hex); // -- QFunctions CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_hex); CeedQFunctionAddInput(qf_setup_hex, "_weight", 1, CEED_EVAL_WEIGHT); CeedQFunctionAddInput(qf_setup_hex, "dx", dim * dim, CEED_EVAL_GRAD); CeedQFunctionAddOutput(qf_setup_hex, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE); CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff_hex); CeedQFunctionAddInput(qf_diff_hex, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE); CeedQFunctionAddInput(qf_diff_hex, "u", dim, CEED_EVAL_GRAD); CeedQFunctionAddOutput(qf_diff_hex, "v", dim, CEED_EVAL_GRAD); // -- Operators CeedOperatorCreate(ceed, qf_setup_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_hex); CeedOperatorSetField(op_setup_hex, "_weight", CEED_ELEMRESTRICTION_NONE, basis_x_hex, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_hex, "dx", elem_restr_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_hex, "rho", elem_restr_qd_i_hex, CEED_BASIS_COLLOCATED, q_data_hex); CeedOperatorCreate(ceed, qf_diff_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_hex); CeedOperatorSetField(op_diff_hex, "rho", elem_restr_qd_i_hex, CEED_BASIS_COLLOCATED, q_data_hex); CeedOperatorSetField(op_diff_hex, "u", elem_restr_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_diff_hex, "v", elem_restr_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); // Composite Operators CeedCompositeOperatorCreate(ceed, &op_setup); CeedCompositeOperatorAddSub(op_setup, op_setup_tet); CeedCompositeOperatorAddSub(op_setup, op_setup_hex); CeedCompositeOperatorCreate(ceed, &op_diff); CeedCompositeOperatorAddSub(op_diff, op_diff_tet); CeedCompositeOperatorAddSub(op_diff, op_diff_hex); // Apply Setup Operator CeedOperatorApply(op_setup, X, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE); // Apply diff Operator CeedVectorCreate(ceed, num_dofs, &U); CeedVectorSetValue(U, 1.0); CeedVectorCreate(ceed, num_dofs, &V); CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE); // Check output CeedVectorGetArrayRead(V, CEED_MEM_HOST, &hv); for (CeedInt i = 0; i < num_dofs; i++) { if (fabs(hv[i]) > 100. * CEED_EPSILON) printf("Computed: %f != True: 0.0\n", hv[i]); } CeedVectorRestoreArrayRead(V, &hv); // Cleanup CeedQFunctionDestroy(&qf_setup_tet); CeedQFunctionDestroy(&qf_diff_tet); CeedOperatorDestroy(&op_setup_tet); CeedOperatorDestroy(&op_diff_tet); CeedQFunctionDestroy(&qf_setup_hex); CeedQFunctionDestroy(&qf_diff_hex); CeedOperatorDestroy(&op_setup_hex); CeedOperatorDestroy(&op_diff_hex); CeedOperatorDestroy(&op_setup); CeedOperatorDestroy(&op_diff); CeedElemRestrictionDestroy(&elem_restr_u_tet); CeedElemRestrictionDestroy(&elem_restr_x_tet); CeedElemRestrictionDestroy(&elem_restr_qd_i_tet); CeedElemRestrictionDestroy(&elem_restr_u_hex); CeedElemRestrictionDestroy(&elem_restr_x_hex); CeedElemRestrictionDestroy(&elem_restr_qd_i_hex); CeedBasisDestroy(&basis_u_tet); CeedBasisDestroy(&basis_x_tet); CeedBasisDestroy(&basis_u_hex); CeedBasisDestroy(&basis_x_hex); CeedVectorDestroy(&X); CeedVectorDestroy(&U); CeedVectorDestroy(&V); CeedVectorDestroy(&q_data_tet); CeedVectorDestroy(&q_data_hex); CeedDestroy(&ceed); return 0; }