1 /// @file 2 /// Test full assembly of mass and Poisson operator (see t536) 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 "t320-basis.h" 9 #include "t535-operator.h" 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_mass_i, elem_restr_qd_diff_i; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 16 CeedOperator op_setup_mass, op_setup_diff, op_apply; 17 CeedVector q_data_mass, q_data_diff, X, U, V; 18 CeedInt num_elem = 12, dim = 2, P = 6, Q = 4; 19 CeedInt n_x = 3, n_y = 2; 20 CeedInt row, col, offset; 21 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * Q; 22 CeedInt ind_x[num_elem * P * P]; 23 CeedScalar assembled[num_dofs * num_dofs]; 24 CeedScalar x[dim * num_dofs], assembled_true[num_dofs * num_dofs]; 25 CeedScalar q_ref[dim * Q], q_weight[Q]; 26 CeedScalar interp[P * Q], grad[dim * P * Q]; 27 CeedScalar *u; 28 const CeedScalar *v; 29 30 CeedInit(argv[1], &ceed); 31 32 // DoF Coordinates 33 for (CeedInt i = 0; i < num_dofs; i++) { 34 x[i] = (1. / (n_x * 2)) * (CeedScalar)(i % (n_x * 2 + 1)); 35 x[i + num_dofs] = (1. / (n_y * 2)) * (CeedScalar)(i / (n_x * 2 + 1)); 36 } 37 CeedVectorCreate(ceed, dim * num_dofs, &X); 38 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 39 40 // Qdata Vectors 41 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 42 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 43 44 // Element Setup 45 for (CeedInt i = 0; i < num_elem / 2; i++) { 46 col = i % n_x; 47 row = i / n_x; 48 offset = col * 2 + row * (n_x * 2 + 1) * 2; 49 50 ind_x[i * 2 * P + 0] = 2 + offset; 51 ind_x[i * 2 * P + 1] = 9 + offset; 52 ind_x[i * 2 * P + 2] = 16 + offset; 53 ind_x[i * 2 * P + 3] = 1 + offset; 54 ind_x[i * 2 * P + 4] = 8 + offset; 55 ind_x[i * 2 * P + 5] = 0 + offset; 56 57 ind_x[i * 2 * P + 6] = 14 + offset; 58 ind_x[i * 2 * P + 7] = 7 + offset; 59 ind_x[i * 2 * P + 8] = 0 + offset; 60 ind_x[i * 2 * P + 9] = 15 + offset; 61 ind_x[i * 2 * P + 10] = 8 + offset; 62 ind_x[i * 2 * P + 11] = 16 + offset; 63 } 64 65 // Restrictions 66 CeedElemRestrictionCreate(ceed, num_elem, P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 67 68 CeedElemRestrictionCreate(ceed, num_elem, P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 69 CeedInt strides_qd_mass[3] = {1, Q, Q}; 70 CeedElemRestrictionCreateStrided(ceed, num_elem, Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); 71 72 CeedInt strides_qd_diff[3] = {1, Q, Q * dim * (dim + 1) / 2}; 73 CeedElemRestrictionCreateStrided(ceed, num_elem, Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, &elem_restr_qd_diff_i); 74 75 // Bases 76 buildmats(q_ref, q_weight, interp, grad); 77 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, P, Q, interp, grad, q_ref, q_weight, &basis_x); 78 79 buildmats(q_ref, q_weight, interp, grad); 80 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P, Q, interp, grad, q_ref, q_weight, &basis_u); 81 82 // QFunction - setup mass 83 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 84 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 85 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 86 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 87 88 // Operator - setup mass 89 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 90 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 91 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 92 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 93 94 // QFunction - setup diff 95 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 96 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 97 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 98 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 99 100 // Operator - setup diff 101 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 102 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 103 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 104 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 105 106 // Apply Setup Operators 107 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 108 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 109 110 // QFunction - apply 111 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 112 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 113 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 114 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 115 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 116 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 117 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 118 119 // Operator - apply 120 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 121 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 122 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, q_data_mass); 123 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, q_data_diff); 124 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 125 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 126 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 127 128 // Fully assemble operator 129 for (int k = 0; k < num_dofs * num_dofs; ++k) { 130 assembled[k] = 0.0; 131 assembled_true[k] = 0.0; 132 } 133 CeedSize num_entries; 134 CeedInt *rows; 135 CeedInt *cols; 136 CeedVector values; 137 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 138 CeedVectorCreate(ceed, num_entries, &values); 139 CeedOperatorLinearAssemble(op_apply, values); 140 const CeedScalar *vals; 141 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 142 for (int k = 0; k < num_entries; ++k) assembled[rows[k] * num_dofs + cols[k]] += vals[k]; 143 CeedVectorRestoreArrayRead(values, &vals); 144 145 // Manually assemble operator 146 CeedVectorCreate(ceed, num_dofs, &U); 147 CeedVectorSetValue(U, 0.0); 148 CeedVectorCreate(ceed, num_dofs, &V); 149 for (int i = 0; i < num_dofs; i++) { 150 // Set input 151 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 152 u[i] = 1.0; 153 if (i) u[i - 1] = 0.0; 154 CeedVectorRestoreArray(U, &u); 155 156 // Compute entries for column i 157 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 158 159 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 160 for (int k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v[k]; 161 CeedVectorRestoreArrayRead(V, &v); 162 } 163 164 // Check output 165 for (int i = 0; i < num_dofs; i++) { 166 for (int j = 0; j < num_dofs; j++) { 167 if (fabs(assembled[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 168 // LCOV_EXCL_START 169 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled[j * num_dofs + i], 170 assembled_true[j * num_dofs + i]); 171 // LCOV_EXCL_STOP 172 } 173 } 174 } 175 176 // Cleanup 177 free(rows); 178 free(cols); 179 CeedVectorDestroy(&values); 180 CeedQFunctionDestroy(&qf_setup_mass); 181 CeedQFunctionDestroy(&qf_setup_diff); 182 CeedQFunctionDestroy(&qf_apply); 183 CeedOperatorDestroy(&op_setup_mass); 184 CeedOperatorDestroy(&op_setup_diff); 185 CeedOperatorDestroy(&op_apply); 186 CeedElemRestrictionDestroy(&elem_restr_u); 187 CeedElemRestrictionDestroy(&elem_restr_x); 188 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 189 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 190 CeedBasisDestroy(&basis_u); 191 CeedBasisDestroy(&basis_x); 192 CeedVectorDestroy(&X); 193 CeedVectorDestroy(&q_data_mass); 194 CeedVectorDestroy(&q_data_diff); 195 CeedVectorDestroy(&U); 196 CeedVectorDestroy(&V); 197 CeedDestroy(&ceed); 198 return 0; 199 } 200