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_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_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, 104 CEED_VECTOR_NONE); 105 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, 106 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 107 108 // QFunction - setup diff 109 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 110 &qf_setup_diff); 111 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 112 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 113 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 114 115 // Operator - setup diff 116 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 117 CEED_QFUNCTION_NONE, &op_setup_diff); 118 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, 119 CEED_VECTOR_ACTIVE); 120 CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, 121 basis_x, 122 CEED_VECTOR_NONE); 123 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, 124 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 125 126 // Apply Setup Operators 127 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 128 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 129 130 // QFunction - apply 131 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 132 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 133 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 134 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 135 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 136 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 137 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 138 139 // Operator - apply 140 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 141 &op_apply); 142 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 143 CeedOperatorSetField(op_apply, "qdata_mass", elem_restr_qd_mass_i, 144 CEED_BASIS_COLLOCATED, q_data_mass); 145 CeedOperatorSetField(op_apply, "qdata_diff", elem_restr_qd_diff_i, 146 CEED_BASIS_COLLOCATED, q_data_diff); 147 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 148 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 149 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 150 151 // Fully assemble operator 152 for (int k=0; k<num_dofs*num_dofs; ++k) { 153 assembled[k] = 0.0; 154 assembled_true[k] = 0.0; 155 } 156 CeedInt num_entries; 157 CeedInt *rows; 158 CeedInt *cols; 159 CeedVector values; 160 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 161 CeedVectorCreate(ceed, num_entries, &values); 162 CeedOperatorLinearAssemble(op_apply, values); 163 const CeedScalar *vals; 164 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 165 for (int k=0; k<num_entries; ++k) { 166 assembled[rows[k]*num_dofs + cols[k]] += vals[k]; 167 } 168 CeedVectorRestoreArrayRead(values, &vals); 169 170 // Manually assemble operator 171 CeedVectorCreate(ceed, num_dofs, &U); 172 CeedVectorSetValue(U, 0.0); 173 CeedVectorCreate(ceed, num_dofs, &V); 174 for (int i=0; i<num_dofs; i++) { 175 // Set input 176 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 177 u[i] = 1.0; 178 if (i) 179 u[i-1] = 0.0; 180 CeedVectorRestoreArray(U, &u); 181 182 // Compute entries for column i 183 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 184 185 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 186 for (int k=0; k<num_dofs; k++) { 187 assembled_true[i*num_dofs + k] = v[k]; 188 } 189 CeedVectorRestoreArrayRead(V, &v); 190 } 191 192 // Check output 193 for (int i=0; i<num_dofs; i++) 194 for (int j=0; j<num_dofs; j++) 195 if (fabs(assembled[j*num_dofs+i] - assembled_true[j*num_dofs+i]) > 1e-14) 196 // LCOV_EXCL_START 197 printf("[%d,%d] Error in assembly: %f != %f\n", i, j, 198 assembled[j*num_dofs+i], assembled_true[j*num_dofs+i]); 199 // LCOV_EXCL_STOP 200 201 // Cleanup 202 free(rows); 203 free(cols); 204 CeedVectorDestroy(&values); 205 CeedQFunctionDestroy(&qf_setup_mass); 206 CeedQFunctionDestroy(&qf_setup_diff); 207 CeedQFunctionDestroy(&qf_apply); 208 CeedOperatorDestroy(&op_setup_mass); 209 CeedOperatorDestroy(&op_setup_diff); 210 CeedOperatorDestroy(&op_apply); 211 CeedElemRestrictionDestroy(&elem_restr_u); 212 CeedElemRestrictionDestroy(&elem_restr_x); 213 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 214 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 215 CeedBasisDestroy(&basis_u); 216 CeedBasisDestroy(&basis_x); 217 CeedVectorDestroy(&X); 218 CeedVectorDestroy(&q_data_mass); 219 CeedVectorDestroy(&q_data_diff); 220 CeedVectorDestroy(&U); 221 CeedVectorDestroy(&V); 222 CeedDestroy(&ceed); 223 return 0; 224 } 225