1 /// @file 2 /// Test assembly of composite operator diagonal 3 /// \test Test assembly of composite operator diagonal 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 int main(int argc, char **argv) { 9 Ceed ceed; 10 CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_mass_i, elem_restr_qd_diff_i; 11 CeedBasis basis_x, basis_u; 12 CeedQFunction qf_setup_mass, qf_mass, qf_setup_diff, qf_diff; 13 CeedOperator op_setup_mass, op_mass, op_setup_diff, op_diff, op_apply; 14 CeedVector q_data_mass, q_data_diff, X, A, U, V; 15 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; 16 CeedInt n_x = 3, n_y = 2; 17 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * Q * Q; 18 CeedInt ind_x[num_elem * P * P]; 19 CeedScalar x[dim * num_dofs], assembled_true[num_dofs]; 20 CeedScalar *u; 21 const CeedScalar *a, *v; 22 23 CeedInit(argv[1], &ceed); 24 25 // DoF Coordinates 26 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 27 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 28 x[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 29 x[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 30 } 31 } 32 CeedVectorCreate(ceed, dim * num_dofs, &X); 33 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 34 35 // Qdata Vectors 36 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 37 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 38 39 // Element Setup 40 for (CeedInt i = 0; i < num_elem; i++) { 41 CeedInt col, row, offset; 42 col = i % n_x; 43 row = i / n_x; 44 offset = col * (P - 1) + row * (n_x * 2 + 1) * (P - 1); 45 for (CeedInt j = 0; j < P; j++) { 46 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 47 } 48 } 49 50 // Restrictions 51 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 52 53 CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 54 CeedInt strides_qd_mass[3] = {1, Q * Q, Q * Q}; 55 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); 56 CeedInt strides_qd_diff[3] = {1, Q * Q, Q * Q * dim * (dim + 1) / 2}; /* *NOPAD* */ 57 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, 58 &elem_restr_qd_diff_i); 59 60 // Bases 61 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 62 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 63 64 // QFunction - setup mass 65 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 66 67 // Operator - setup mass 68 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 69 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 70 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 71 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 72 73 // QFunction - setup diffusion 74 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 75 76 // Operator - setup diffusion 77 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 78 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 79 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 80 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 81 82 // Apply Setup Operators 83 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 84 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 85 86 // QFunction - apply mass 87 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 88 89 // Operator - apply mass 90 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 91 CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 92 CeedOperatorSetField(op_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, q_data_mass); 93 CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 94 95 // QFunction - apply diff 96 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 97 98 // Operator - apply 99 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 100 CeedOperatorSetField(op_diff, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 101 CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, q_data_diff); 102 CeedOperatorSetField(op_diff, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 103 104 // Composite operator 105 CeedCompositeOperatorCreate(ceed, &op_apply); 106 CeedCompositeOperatorAddSub(op_apply, op_mass); 107 CeedCompositeOperatorAddSub(op_apply, op_diff); 108 109 // Assemble diagonal 110 CeedVectorCreate(ceed, num_dofs, &A); 111 CeedOperatorLinearAssembleDiagonal(op_apply, A, CEED_REQUEST_IMMEDIATE); 112 113 // Manually assemble diagonal 114 CeedVectorCreate(ceed, num_dofs, &U); 115 CeedVectorSetValue(U, 0.0); 116 CeedVectorCreate(ceed, num_dofs, &V); 117 for (int i = 0; i < num_dofs; i++) { 118 // Set input 119 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 120 u[i] = 1.0; 121 if (i) u[i - 1] = 0.0; 122 CeedVectorRestoreArray(U, &u); 123 124 // Compute diag entry for DoF i 125 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 126 127 // Retrieve entry 128 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 129 assembled_true[i] = v[i]; 130 CeedVectorRestoreArrayRead(V, &v); 131 } 132 133 // Check output 134 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 135 for (int i = 0; i < num_dofs; i++) { 136 if (fabs(a[i] - assembled_true[i]) > 1000. * CEED_EPSILON) printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); 137 } 138 CeedVectorRestoreArrayRead(A, &a); 139 140 // Cleanup 141 CeedQFunctionDestroy(&qf_setup_mass); 142 CeedQFunctionDestroy(&qf_setup_diff); 143 CeedQFunctionDestroy(&qf_diff); 144 CeedQFunctionDestroy(&qf_mass); 145 CeedOperatorDestroy(&op_setup_mass); 146 CeedOperatorDestroy(&op_setup_diff); 147 CeedOperatorDestroy(&op_mass); 148 CeedOperatorDestroy(&op_diff); 149 CeedOperatorDestroy(&op_apply); 150 CeedElemRestrictionDestroy(&elem_restr_u); 151 CeedElemRestrictionDestroy(&elem_restr_x); 152 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 153 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 154 CeedBasisDestroy(&basis_u); 155 CeedBasisDestroy(&basis_x); 156 CeedVectorDestroy(&X); 157 CeedVectorDestroy(&A); 158 CeedVectorDestroy(&q_data_mass); 159 CeedVectorDestroy(&q_data_diff); 160 CeedVectorDestroy(&U); 161 CeedVectorDestroy(&V); 162 CeedDestroy(&ceed); 163 return 0; 164 } 165