1 /// @file 2 /// Test full assembly of mass and Poisson operator (see t535) 3 /// \test Test full assembly of mass and Poisson operator 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t535-operator.h" 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_mass_i, elem_restr_qd_diff_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply; 16 CeedVector q_data_mass, q_data_diff, X, U, V; 17 CeedInt P = 3, Q = 4, dim = 2; 18 CeedInt n_x = 3, n_y = 2; 19 CeedInt num_elem = n_x * n_y; 20 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * Q * Q; 21 CeedInt ind_x[num_elem * P * P]; 22 CeedScalar assembled[num_dofs * num_dofs]; 23 CeedScalar x[dim * num_dofs], assembled_true[num_dofs * num_dofs]; 24 CeedScalar *u; 25 const CeedScalar *v; 26 27 CeedInit(argv[1], &ceed); 28 29 // DoF Coordinates 30 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 31 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 32 x[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 33 x[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 34 } 35 } 36 CeedVectorCreate(ceed, dim * num_dofs, &X); 37 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 38 39 // Qdata Vectors 40 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 41 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 42 43 // Element Setup 44 for (CeedInt i = 0; i < num_elem; i++) { 45 CeedInt col, row, offset; 46 col = i % n_x; 47 row = i / n_x; 48 offset = col * (P - 1) + row * (n_x * 2 + 1) * (P - 1); 49 for (CeedInt j = 0; j < P; j++) { 50 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 51 } 52 } 53 54 // Restrictions 55 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 56 57 CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 58 CeedInt strides_qd_mass[3] = {1, Q * Q, Q * Q}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); 60 61 CeedInt strides_qd_diff[3] = {1, Q * Q, Q * Q * dim * (dim + 1) / 2}; 62 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, 63 &elem_restr_qd_diff_i); 64 65 // Bases 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 67 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 68 69 // QFunction - setup mass 70 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 71 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 72 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 73 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 74 75 // Operator - setup mass 76 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 77 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 78 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 79 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 80 81 // QFunction - setup diff 82 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 83 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 84 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 85 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 86 87 // Operator - setup diff 88 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 89 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 90 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 91 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 92 93 // Apply Setup Operators 94 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 95 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 96 97 // QFunction - apply 98 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 99 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 100 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 101 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 102 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 103 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 104 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 105 106 // Operator - apply 107 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 108 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 109 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, q_data_mass); 110 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, q_data_diff); 111 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 112 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 113 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 114 115 // Fully assemble operator 116 for (int k = 0; k < num_dofs * num_dofs; ++k) { 117 assembled[k] = 0.0; 118 assembled_true[k] = 0.0; 119 } 120 CeedSize num_entries; 121 CeedInt *rows; 122 CeedInt *cols; 123 CeedVector values; 124 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 125 CeedVectorCreate(ceed, num_entries, &values); 126 CeedOperatorLinearAssemble(op_apply, values); 127 const CeedScalar *vals; 128 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 129 for (int k = 0; k < num_entries; ++k) assembled[rows[k] * num_dofs + cols[k]] += vals[k]; 130 CeedVectorRestoreArrayRead(values, &vals); 131 132 // Manually assemble operator 133 CeedVectorCreate(ceed, num_dofs, &U); 134 CeedVectorSetValue(U, 0.0); 135 CeedVectorCreate(ceed, num_dofs, &V); 136 for (int i = 0; i < num_dofs; i++) { 137 // Set input 138 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 139 u[i] = 1.0; 140 if (i) u[i - 1] = 0.0; 141 CeedVectorRestoreArray(U, &u); 142 143 // Compute entries for column i 144 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 145 146 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 147 for (int k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v[k]; 148 CeedVectorRestoreArrayRead(V, &v); 149 } 150 151 // Check output 152 for (int i = 0; i < num_dofs; i++) { 153 for (int j = 0; j < num_dofs; j++) { 154 if (fabs(assembled[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 155 // LCOV_EXCL_START 156 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled[j * num_dofs + i], 157 assembled_true[j * num_dofs + i]); 158 // LCOV_EXCL_STOP 159 } 160 } 161 } 162 163 // Cleanup 164 free(rows); 165 free(cols); 166 CeedVectorDestroy(&values); 167 CeedQFunctionDestroy(&qf_setup_mass); 168 CeedQFunctionDestroy(&qf_setup_diff); 169 CeedQFunctionDestroy(&qf_apply); 170 CeedOperatorDestroy(&op_setup_mass); 171 CeedOperatorDestroy(&op_setup_diff); 172 CeedOperatorDestroy(&op_apply); 173 CeedElemRestrictionDestroy(&elem_restr_u); 174 CeedElemRestrictionDestroy(&elem_restr_x); 175 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 176 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 177 CeedBasisDestroy(&basis_u); 178 CeedBasisDestroy(&basis_x); 179 CeedVectorDestroy(&X); 180 CeedVectorDestroy(&q_data_mass); 181 CeedVectorDestroy(&q_data_diff); 182 CeedVectorDestroy(&U); 183 CeedVectorDestroy(&V); 184 CeedDestroy(&ceed); 185 return 0; 186 } 187