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 <stdlib.h> 6 #include <math.h> 7 #include "t535-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction elem_restr_x, elem_restr_u, 12 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 CeedVectorCreate(ceed, dim*num_dofs, &X); 36 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 37 38 // Qdata Vectors 39 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 40 CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data_diff); 41 42 // Element Setup 43 for (CeedInt i=0; i<num_elem; i++) { 44 CeedInt col, row, offset; 45 col = i % n_x; 46 row = i / n_x; 47 offset = col*(P-1) + row*(n_x*2+1)*(P-1); 48 for (CeedInt j=0; j<P; j++) 49 for (CeedInt k=0; k<P; k++) 50 ind_x[P*(P*i+k)+j] = offset + k*(n_x*2+1) + j; 51 } 52 53 // Restrictions 54 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 55 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, 58 CEED_USE_POINTER, ind_x, &elem_restr_u); 59 CeedInt strides_qd_mass[3] = {1, Q*Q, Q*Q}; 60 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, 61 strides_qd_mass, 62 &elem_restr_qd_mass_i); 63 64 CeedInt strides_qd_diff[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 65 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2, 66 dim*(dim+1)/2*num_qpts, 67 strides_qd_diff, &elem_restr_qd_diff_i); 68 69 // Bases 70 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 71 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 72 73 // QFunction - setup mass 74 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 75 &qf_setup_mass); 76 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 77 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 78 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 79 80 // Operator - setup mass 81 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 82 CEED_QFUNCTION_NONE, &op_setup_mass); 83 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, 84 CEED_VECTOR_ACTIVE); 85 CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, 86 basis_x, 87 CEED_VECTOR_NONE); 88 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, 89 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 90 91 // QFunction - setup diff 92 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 93 &qf_setup_diff); 94 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 95 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 96 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 97 98 // Operator - setup diff 99 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 100 CEED_QFUNCTION_NONE, &op_setup_diff); 101 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, 102 CEED_VECTOR_ACTIVE); 103 CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, 104 basis_x, 105 CEED_VECTOR_NONE); 106 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, 107 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 108 109 // Apply Setup Operators 110 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 111 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 112 113 // QFunction - apply 114 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 115 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 116 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 117 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 118 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 119 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 120 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 121 122 // Operator - apply 123 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 124 &op_apply); 125 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 126 CeedOperatorSetField(op_apply, "qdata_mass", elem_restr_qd_mass_i, 127 CEED_BASIS_COLLOCATED, q_data_mass); 128 CeedOperatorSetField(op_apply, "qdata_diff", elem_restr_qd_diff_i, 129 CEED_BASIS_COLLOCATED, q_data_diff); 130 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 131 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 132 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 133 134 // Fully assemble operator 135 for (int k=0; k<num_dofs*num_dofs; ++k) { 136 assembled[k] = 0.0; 137 assembled_true[k] = 0.0; 138 } 139 CeedInt num_entries; 140 CeedInt *rows; 141 CeedInt *cols; 142 CeedVector values; 143 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 144 CeedVectorCreate(ceed, num_entries, &values); 145 CeedOperatorLinearAssemble(op_apply, values); 146 const CeedScalar *vals; 147 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 148 for (int k=0; k<num_entries; ++k) { 149 assembled[rows[k]*num_dofs + cols[k]] += vals[k]; 150 } 151 CeedVectorRestoreArrayRead(values, &vals); 152 153 // Manually assemble operator 154 CeedVectorCreate(ceed, num_dofs, &U); 155 CeedVectorSetValue(U, 0.0); 156 CeedVectorCreate(ceed, num_dofs, &V); 157 for (int i=0; i<num_dofs; i++) { 158 // Set input 159 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 160 u[i] = 1.0; 161 if (i) 162 u[i-1] = 0.0; 163 CeedVectorRestoreArray(U, &u); 164 165 // Compute entries for column i 166 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 167 168 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 169 for (int k=0; k<num_dofs; k++) { 170 assembled_true[i*num_dofs + k] = v[k]; 171 } 172 CeedVectorRestoreArrayRead(V, &v); 173 } 174 175 // Check output 176 for (int i=0; i<num_dofs; i++) 177 for (int j=0; j<num_dofs; j++) 178 if (fabs(assembled[j*num_dofs+i] - assembled_true[j*num_dofs+i]) > 179 100.*CEED_EPSILON) 180 // LCOV_EXCL_START 181 printf("[%d,%d] Error in assembly: %f != %f\n", i, j, 182 assembled[j*num_dofs+i], assembled_true[j*num_dofs+i]); 183 // LCOV_EXCL_STOP 184 185 // Cleanup 186 free(rows); 187 free(cols); 188 CeedVectorDestroy(&values); 189 CeedQFunctionDestroy(&qf_setup_mass); 190 CeedQFunctionDestroy(&qf_setup_diff); 191 CeedQFunctionDestroy(&qf_apply); 192 CeedOperatorDestroy(&op_setup_mass); 193 CeedOperatorDestroy(&op_setup_diff); 194 CeedOperatorDestroy(&op_apply); 195 CeedElemRestrictionDestroy(&elem_restr_u); 196 CeedElemRestrictionDestroy(&elem_restr_x); 197 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 198 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 199 CeedBasisDestroy(&basis_u); 200 CeedBasisDestroy(&basis_x); 201 CeedVectorDestroy(&X); 202 CeedVectorDestroy(&q_data_mass); 203 CeedVectorDestroy(&q_data_diff); 204 CeedVectorDestroy(&U); 205 CeedVectorDestroy(&V); 206 CeedDestroy(&ceed); 207 return 0; 208 } 209