/// @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 quadrilaterals followed by one row of 6 triangles: _ _ _ |_|_|_| |_|_|_| |/|/|/| */ int main(int argc, char **argv) { Ceed ceed; CeedElemRestriction elem_restriction_x_tet, elem_restriction_u_tet, elem_restriction_q_data_tet, elem_restriction_x_hex, elem_restriction_u_hex, elem_restriction_q_data_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; 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 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); // Vectors CeedVectorCreate(ceed, dim * num_dofs, &x); { CeedScalar x_array[dim * num_dofs]; for (CeedInt i = 0; i < n_y * 2 + 1; i++) { for (CeedInt j = 0; j < n_x * 2 + 1; j++) { x_array[i + j * (n_y * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_y); x_array[i + j * (n_y * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_x); } } CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); } CeedVectorCreate(ceed, num_dofs, &u); CeedVectorCreate(ceed, num_dofs, &v); 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 // -- Restrictions 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; } CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restriction_x_tet); CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restriction_u_tet); CeedInt strides_q_data_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_q_data_tet, &elem_restriction_q_data_tet); // -- Bases Build2DSimplex(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); Build2DSimplex(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_restriction_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_tet, "rho", elem_restriction_q_data_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_restriction_q_data_tet, CEED_BASIS_COLLOCATED, q_data_tet); CeedOperatorSetField(op_diff_tet, "u", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_diff_tet, "v", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE); // Hex Elements // -- Restrictions 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; } } 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_restriction_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_restriction_u_hex); CeedInt strides_q_data_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_q_data_hex, &elem_restriction_q_data_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_restriction_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_hex, "rho", elem_restriction_q_data_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_restriction_q_data_hex, CEED_BASIS_COLLOCATED, q_data_hex); CeedOperatorSetField(op_diff_hex, "u", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_diff_hex, "v", elem_restriction_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 CeedVectorSetValue(u, 1.0); CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); // Check output { const CeedScalar *v_array; CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); for (CeedInt i = 0; i < num_dofs; i++) { if (fabs(v_array[i]) > 100. * CEED_EPSILON) printf("Computed: %f != True: 0.0\n", v_array[i]); } CeedVectorRestoreArrayRead(v, &v_array); } // Cleanup CeedVectorDestroy(&x); CeedVectorDestroy(&u); CeedVectorDestroy(&v); CeedVectorDestroy(&q_data_tet); CeedVectorDestroy(&q_data_hex); CeedElemRestrictionDestroy(&elem_restriction_u_tet); CeedElemRestrictionDestroy(&elem_restriction_x_tet); CeedElemRestrictionDestroy(&elem_restriction_q_data_tet); CeedElemRestrictionDestroy(&elem_restriction_u_hex); CeedElemRestrictionDestroy(&elem_restriction_x_hex); CeedElemRestrictionDestroy(&elem_restriction_q_data_hex); CeedBasisDestroy(&basis_u_tet); CeedBasisDestroy(&basis_x_tet); CeedBasisDestroy(&basis_u_hex); CeedBasisDestroy(&basis_x_hex); 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); CeedDestroy(&ceed); return 0; }