1 /// @file 2 /// Test assembly of mass and Poisson operator diagonal 3 /// \test Test assembly of mass and Poisson operator diagonal 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t320-basis.h" 8 #include "t535-operator.h" 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedElemRestriction elem_restr_x, elem_restr_u, 13 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, A, 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 x[dim*num_dofs], assembled_true[num_dofs]; 24 CeedScalar q_ref[dim*Q], q_weight[Q]; 25 CeedScalar interp[P*Q], grad[dim*P*Q]; 26 CeedScalar *u; 27 const CeedScalar *a, *v; 28 29 CeedInit(argv[1], &ceed); 30 31 // DoF Coordinates 32 for (CeedInt i=0; i<num_dofs; i++) { 33 x[i] = (1. / (n_x*2)) * (CeedScalar) (i % (n_x*2+1)); 34 x[i+num_dofs] = (1. / (n_y*2)) * (CeedScalar) (i / (n_x*2+1)); 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/2; i++) { 45 col = i % n_x; 46 row = i / n_x; 47 offset = col*2 + row*(n_x*2+1)*2; 48 49 ind_x[i*2*P + 0] = 2 + offset; 50 ind_x[i*2*P + 1] = 9 + offset; 51 ind_x[i*2*P + 2] = 16 + offset; 52 ind_x[i*2*P + 3] = 1 + offset; 53 ind_x[i*2*P + 4] = 8 + offset; 54 ind_x[i*2*P + 5] = 0 + offset; 55 56 ind_x[i*2*P + 6] = 14 + offset; 57 ind_x[i*2*P + 7] = 7 + offset; 58 ind_x[i*2*P + 8] = 0 + offset; 59 ind_x[i*2*P + 9] = 15 + offset; 60 ind_x[i*2*P + 10] = 8 + offset; 61 ind_x[i*2*P + 11] = 16 + offset; 62 } 63 64 // Restrictions 65 CeedElemRestrictionCreate(ceed, num_elem, P, dim, num_dofs, dim*num_dofs, 66 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, 69 CEED_USE_POINTER, ind_x, &elem_restr_u); 70 CeedInt strides_qd_mass[3] = {1, Q, Q}; 71 CeedElemRestrictionCreateStrided(ceed, num_elem, Q, 1, num_qpts, 72 strides_qd_mass, 73 &elem_restr_qd_mass_i); 74 75 CeedInt strides_qd_diff[3] = {1, Q, Q *dim *(dim+1)/2}; 76 CeedElemRestrictionCreateStrided(ceed, num_elem, Q, dim*(dim+1)/2, 77 dim*(dim+1)/2*num_qpts, 78 strides_qd_diff, &elem_restr_qd_diff_i); 79 80 // Bases 81 buildmats(q_ref, q_weight, interp, grad); 82 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, P, Q, interp, grad, q_ref, 83 q_weight, &basis_x); 84 85 buildmats(q_ref, q_weight, interp, grad); 86 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P, Q, interp, grad, q_ref, 87 q_weight, &basis_u); 88 89 // QFunction - setup mass 90 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 91 &qf_setup_mass); 92 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 93 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 94 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 95 96 // Operator - setup mass 97 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 98 CEED_QFUNCTION_NONE, &op_setup_mass); 99 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, 100 CEED_VECTOR_ACTIVE); 101 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, 102 basis_x, 103 CEED_VECTOR_NONE); 104 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, 105 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 106 107 // QFunction - setup diff 108 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 109 &qf_setup_diff); 110 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 111 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 112 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 113 114 // Operator - setup diff 115 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 116 CEED_QFUNCTION_NONE, &op_setup_diff); 117 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, 118 CEED_VECTOR_ACTIVE); 119 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, 120 basis_x, 121 CEED_VECTOR_NONE); 122 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, 123 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 124 125 // Apply Setup Operators 126 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 127 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 128 129 // QFunction - apply 130 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 131 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 132 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 133 CeedQFunctionAddInput(qf_apply, "diff qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 134 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 135 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 136 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 137 138 // Operator - apply 139 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 140 &op_apply); 141 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 142 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass_i, 143 CEED_BASIS_COLLOCATED, q_data_mass); 144 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff_i, 145 CEED_BASIS_COLLOCATED, q_data_diff); 146 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 147 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 148 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 149 150 // Assemble diagonal 151 CeedVectorCreate(ceed, num_dofs, &A); 152 CeedOperatorLinearAssembleDiagonal(op_apply, A, CEED_REQUEST_IMMEDIATE); 153 154 // Manually assemble diagonal 155 CeedVectorCreate(ceed, num_dofs, &U); 156 CeedVectorSetValue(U, 0.0); 157 CeedVectorCreate(ceed, num_dofs, &V); 158 for (int i=0; i<num_dofs; i++) { 159 // Set input 160 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 161 u[i] = 1.0; 162 if (i) 163 u[i-1] = 0.0; 164 CeedVectorRestoreArray(U, &u); 165 166 // Compute diag entry for DoF i 167 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 168 169 // Retrieve entry 170 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 171 assembled_true[i] = v[i]; 172 CeedVectorRestoreArrayRead(V, &v); 173 } 174 175 // Check output 176 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 177 for (int i=0; i<num_dofs; i++) 178 if (fabs(a[i] - assembled_true[i]) > 100.*CEED_EPSILON) 179 // LCOV_EXCL_START 180 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i], 181 assembled_true[i]); 182 // LCOV_EXCL_STOP 183 CeedVectorRestoreArrayRead(A, &a); 184 185 // Cleanup 186 CeedQFunctionDestroy(&qf_setup_mass); 187 CeedQFunctionDestroy(&qf_setup_diff); 188 CeedQFunctionDestroy(&qf_apply); 189 CeedOperatorDestroy(&op_setup_mass); 190 CeedOperatorDestroy(&op_setup_diff); 191 CeedOperatorDestroy(&op_apply); 192 CeedElemRestrictionDestroy(&elem_restr_u); 193 CeedElemRestrictionDestroy(&elem_restr_x); 194 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 195 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 196 CeedBasisDestroy(&basis_u); 197 CeedBasisDestroy(&basis_x); 198 CeedVectorDestroy(&X); 199 CeedVectorDestroy(&A); 200 CeedVectorDestroy(&q_data_mass); 201 CeedVectorDestroy(&q_data_diff); 202 CeedVectorDestroy(&U); 203 CeedVectorDestroy(&V); 204 CeedDestroy(&ceed); 205 return 0; 206 } 207