1 /// @file 2 /// Test full assembly of composite operator (see t538) 3 /// \test Test full assembly of composite operator 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, U, V; 15 CeedInt P = 3, Q = 4, dim = 2; 16 CeedInt n_x = 3, n_y = 2; 17 CeedInt num_elem = n_x * n_y; 18 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * Q * Q; 19 CeedInt ind_x[num_elem * P * P]; 20 CeedScalar assembled[num_dofs * num_dofs]; 21 CeedScalar x[dim * num_dofs], assembled_true[num_dofs * num_dofs]; 22 CeedScalar *u; 23 const CeedScalar *v; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 29 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 30 x[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 31 x[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 32 } 33 } 34 CeedVectorCreate(ceed, dim * num_dofs, &X); 35 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 36 37 // Qdata Vectors 38 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 39 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 40 41 // Element Setup 42 for (CeedInt i = 0; i < num_elem; i++) { 43 CeedInt col, row, offset; 44 col = i % n_x; 45 row = i / n_x; 46 offset = col * (P - 1) + row * (n_x * 2 + 1) * (P - 1); 47 for (CeedInt j = 0; j < P; j++) { 48 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 49 } 50 } 51 52 // Restrictions 53 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 54 55 CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 56 CeedInt strides_qd_mass[3] = {1, Q * Q, Q * Q}; 57 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); 58 CeedInt strides_qd_diff[3] = {1, Q * Q, Q * Q * dim * (dim + 1) / 2}; /* *NOPAD* */ 59 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, 60 &elem_restr_qd_diff_i); 61 62 // Bases 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 65 66 // QFunction - setup mass 67 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 68 69 // Operator - setup mass 70 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 71 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 72 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 73 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 74 75 // QFunction - setup diffusion 76 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 77 78 // Operator - setup diffusion 79 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 80 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 82 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 83 84 // Apply Setup Operators 85 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 86 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 87 88 // QFunction - apply mass 89 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 90 91 // Operator - apply mass 92 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 93 CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 94 CeedOperatorSetField(op_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, q_data_mass); 95 CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 96 97 // QFunction - apply diff 98 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 99 100 // Operator - apply 101 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 102 CeedOperatorSetField(op_diff, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 103 CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, q_data_diff); 104 CeedOperatorSetField(op_diff, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 105 106 // Composite operator 107 CeedCompositeOperatorCreate(ceed, &op_apply); 108 CeedCompositeOperatorAddSub(op_apply, op_mass); 109 CeedCompositeOperatorAddSub(op_apply, op_diff); 110 111 // Fully assemble operator 112 for (int k = 0; k < num_dofs * num_dofs; ++k) { 113 assembled[k] = 0.0; 114 assembled_true[k] = 0.0; 115 } 116 CeedSize num_entries; 117 CeedInt *rows; 118 CeedInt *cols; 119 CeedVector values; 120 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 121 CeedVectorCreate(ceed, num_entries, &values); 122 CeedOperatorLinearAssemble(op_apply, values); 123 const CeedScalar *vals; 124 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 125 for (int k = 0; k < num_entries; ++k) assembled[rows[k] * num_dofs + cols[k]] += vals[k]; 126 CeedVectorRestoreArrayRead(values, &vals); 127 128 // Manually assemble diagonal 129 CeedVectorCreate(ceed, num_dofs, &U); 130 CeedVectorSetValue(U, 0.0); 131 CeedVectorCreate(ceed, num_dofs, &V); 132 for (int i = 0; i < num_dofs; i++) { 133 // Set input 134 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 135 u[i] = 1.0; 136 if (i) u[i - 1] = 0.0; 137 CeedVectorRestoreArray(U, &u); 138 139 // Compute entries for column i 140 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 141 142 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 143 for (int k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v[k]; 144 CeedVectorRestoreArrayRead(V, &v); 145 } 146 147 // Check output 148 for (int i = 0; i < num_dofs; i++) { 149 for (int j = 0; j < num_dofs; j++) { 150 if (fabs(assembled[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 151 // LCOV_EXCL_START 152 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled[j * num_dofs + i], 153 assembled_true[j * num_dofs + i]); 154 // LCOV_EXCL_STOP 155 } 156 } 157 } 158 159 // Cleanup 160 free(rows); 161 free(cols); 162 CeedVectorDestroy(&values); 163 CeedQFunctionDestroy(&qf_setup_mass); 164 CeedQFunctionDestroy(&qf_setup_diff); 165 CeedQFunctionDestroy(&qf_diff); 166 CeedQFunctionDestroy(&qf_mass); 167 CeedOperatorDestroy(&op_setup_mass); 168 CeedOperatorDestroy(&op_setup_diff); 169 CeedOperatorDestroy(&op_mass); 170 CeedOperatorDestroy(&op_diff); 171 CeedOperatorDestroy(&op_apply); 172 CeedElemRestrictionDestroy(&elem_restr_u); 173 CeedElemRestrictionDestroy(&elem_restr_x); 174 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 175 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 176 CeedBasisDestroy(&basis_u); 177 CeedBasisDestroy(&basis_x); 178 CeedVectorDestroy(&X); 179 CeedVectorDestroy(&q_data_mass); 180 CeedVectorDestroy(&q_data_diff); 181 CeedVectorDestroy(&U); 182 CeedVectorDestroy(&V); 183 CeedDestroy(&ceed); 184 return 0; 185 } 186