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 <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, 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, 67 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 68 69 CeedElemRestrictionCreate(ceed, num_elem, P, 1, 1, num_dofs, CEED_MEM_HOST, 70 CEED_USE_POINTER, ind_x, &elem_restr_u); 71 CeedInt strides_qd_mass[3] = {1, Q, Q}; 72 CeedElemRestrictionCreateStrided(ceed, num_elem, Q, 1, num_qpts, 73 strides_qd_mass, 74 &elem_restr_qd_mass_i); 75 76 CeedInt strides_qd_diff[3] = {1, Q, Q *dim *(dim+1)/2}; 77 CeedElemRestrictionCreateStrided(ceed, num_elem, Q, dim*(dim+1)/2, 78 dim*(dim+1)/2*num_qpts, 79 strides_qd_diff, &elem_restr_qd_diff_i); 80 81 // Bases 82 buildmats(q_ref, q_weight, interp, grad); 83 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, P, Q, interp, grad, q_ref, 84 q_weight, &basis_x); 85 86 buildmats(q_ref, q_weight, interp, grad); 87 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P, Q, interp, grad, q_ref, 88 q_weight, &basis_u); 89 90 // QFunction - setup mass 91 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 92 &qf_setup_mass); 93 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 94 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 95 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 96 97 // Operator - setup mass 98 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 99 CEED_QFUNCTION_NONE, &op_setup_mass); 100 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, 101 CEED_VECTOR_ACTIVE); 102 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, 103 basis_x, 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, CEED_VECTOR_NONE); 121 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, 122 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 123 124 // Apply Setup Operators 125 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 126 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 127 128 // QFunction - apply 129 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 130 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 131 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 132 CeedQFunctionAddInput(qf_apply, "diff qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 133 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 134 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 135 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 136 137 // Operator - apply 138 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 139 &op_apply); 140 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 141 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass_i, 142 CEED_BASIS_COLLOCATED, q_data_mass); 143 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff_i, 144 CEED_BASIS_COLLOCATED, q_data_diff); 145 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 146 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 147 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 148 149 // Fully assemble operator 150 for (int k=0; k<num_dofs*num_dofs; ++k) { 151 assembled[k] = 0.0; 152 assembled_true[k] = 0.0; 153 } 154 CeedSize num_entries; 155 CeedInt *rows; 156 CeedInt *cols; 157 CeedVector values; 158 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 159 CeedVectorCreate(ceed, num_entries, &values); 160 CeedOperatorLinearAssemble(op_apply, values); 161 const CeedScalar *vals; 162 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 163 for (int k=0; k<num_entries; ++k) { 164 assembled[rows[k]*num_dofs + cols[k]] += vals[k]; 165 } 166 CeedVectorRestoreArrayRead(values, &vals); 167 168 // Manually assemble operator 169 CeedVectorCreate(ceed, num_dofs, &U); 170 CeedVectorSetValue(U, 0.0); 171 CeedVectorCreate(ceed, num_dofs, &V); 172 for (int i=0; i<num_dofs; i++) { 173 // Set input 174 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 175 u[i] = 1.0; 176 if (i) 177 u[i-1] = 0.0; 178 CeedVectorRestoreArray(U, &u); 179 180 // Compute entries for column i 181 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 182 183 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 184 for (int k=0; k<num_dofs; k++) { 185 assembled_true[i*num_dofs + k] = v[k]; 186 } 187 CeedVectorRestoreArrayRead(V, &v); 188 } 189 190 // Check output 191 for (int i=0; i<num_dofs; i++) 192 for (int j=0; j<num_dofs; j++) 193 if (fabs(assembled[j*num_dofs+i] - assembled_true[j*num_dofs+i]) > 194 100.*CEED_EPSILON) 195 // LCOV_EXCL_START 196 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", 197 i, j, assembled[j*num_dofs+i], assembled_true[j*num_dofs+i]); 198 // LCOV_EXCL_STOP 199 200 // Cleanup 201 free(rows); 202 free(cols); 203 CeedVectorDestroy(&values); 204 CeedQFunctionDestroy(&qf_setup_mass); 205 CeedQFunctionDestroy(&qf_setup_diff); 206 CeedQFunctionDestroy(&qf_apply); 207 CeedOperatorDestroy(&op_setup_mass); 208 CeedOperatorDestroy(&op_setup_diff); 209 CeedOperatorDestroy(&op_apply); 210 CeedElemRestrictionDestroy(&elem_restr_u); 211 CeedElemRestrictionDestroy(&elem_restr_x); 212 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 213 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 214 CeedBasisDestroy(&basis_u); 215 CeedBasisDestroy(&basis_x); 216 CeedVectorDestroy(&X); 217 CeedVectorDestroy(&q_data_mass); 218 CeedVectorDestroy(&q_data_diff); 219 CeedVectorDestroy(&U); 220 CeedVectorDestroy(&V); 221 CeedDestroy(&ceed); 222 return 0; 223 } 224