1 /// @file 2 /// Test full assembly of composite operator (see t538) 3 /// \test Test full assembly of composite operator 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 8 int main(int argc, char **argv) { 9 Ceed ceed; 10 CeedElemRestriction elem_restr_x, elem_restr_u, 11 elem_restr_qd_mass_i, elem_restr_qd_diff_i; 12 CeedBasis basis_x, basis_u; 13 CeedQFunction qf_setup_mass, qf_mass, qf_setup_diff, qf_diff; 14 CeedOperator op_setup_mass, op_mass, op_setup_diff, op_diff, op_apply; 15 CeedVector q_data_mass, q_data_diff, X, U, V; 16 CeedInt P = 3, Q = 4, dim = 2; 17 CeedInt n_x = 3, n_y = 2; 18 CeedInt num_elem = n_x * n_y; 19 CeedInt num_dofs = (n_x*2+1)*(n_y*2+1), num_qpts = num_elem*Q*Q; 20 CeedInt ind_x[num_elem*P*P]; 21 CeedScalar assembled[num_dofs*num_dofs]; 22 CeedScalar x[dim*num_dofs], assembled_true[num_dofs*num_dofs]; 23 CeedScalar *u; 24 const CeedScalar *v; 25 26 CeedInit(argv[1], &ceed); 27 28 // DoF Coordinates 29 for (CeedInt i=0; i<n_x*2+1; i++) 30 for (CeedInt j=0; j<n_y*2+1; j++) { 31 x[i+j*(n_x*2+1)+0*num_dofs] = (CeedScalar) i / (2*n_x); 32 x[i+j*(n_x*2+1)+1*num_dofs] = (CeedScalar) j / (2*n_y); 33 } 34 CeedVectorCreate(ceed, dim*num_dofs, &X); 35 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 36 37 // Qdata Vectors 38 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 39 CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data_diff); 40 41 // Element Setup 42 for (CeedInt i=0; i<num_elem; i++) { 43 CeedInt col, row, offset; 44 col = i % n_x; 45 row = i / n_x; 46 offset = col*(P-1) + row*(n_x*2+1)*(P-1); 47 for (CeedInt j=0; j<P; j++) 48 for (CeedInt k=0; k<P; k++) 49 ind_x[P*(P*i+k)+j] = offset + k*(n_x*2+1) + j; 50 } 51 52 // Restrictions 53 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 54 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 55 56 CeedElemRestrictionCreate(ceed, num_elem, P*P, 1, 1, num_dofs, CEED_MEM_HOST, 57 CEED_USE_POINTER, ind_x, &elem_restr_u); 58 CeedInt strides_qd_mass[3] = {1, Q*Q, Q*Q}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, 60 strides_qd_mass, &elem_restr_qd_mass_i); 61 CeedInt strides_qd_diff[3] = {1, Q*Q, Q*Q*dim*(dim+1)/2}; /* *NOPAD* */ 62 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2, 63 dim*(dim+1)/2*num_qpts, 64 strides_qd_diff, &elem_restr_qd_diff_i); 65 66 // Bases 67 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 68 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 69 70 // QFunction - setup mass 71 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 72 73 // Operator - setup mass 74 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 75 CEED_QFUNCTION_NONE, &op_setup_mass); 76 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, 77 CEED_VECTOR_ACTIVE); 78 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, 79 basis_x, 80 CEED_VECTOR_NONE); 81 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, 82 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 83 84 // QFunction - setup diffusion 85 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 86 87 // Operator - setup diffusion 88 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 89 CEED_QFUNCTION_NONE, &op_setup_diff); 90 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, 91 CEED_VECTOR_ACTIVE); 92 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, 93 basis_x, 94 CEED_VECTOR_NONE); 95 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, 96 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 97 98 // Apply Setup Operators 99 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 100 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 101 102 // QFunction - apply mass 103 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 104 105 // Operator - apply mass 106 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 107 &op_mass); 108 CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 109 CeedOperatorSetField(op_mass, "qdata", elem_restr_qd_mass_i, 110 CEED_BASIS_COLLOCATED, 111 q_data_mass); 112 CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 113 114 // QFunction - apply diff 115 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 116 117 // Operator - apply 118 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 119 &op_diff); 120 CeedOperatorSetField(op_diff, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 121 CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_diff_i, 122 CEED_BASIS_COLLOCATED, 123 q_data_diff); 124 CeedOperatorSetField(op_diff, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 125 126 // Composite operator 127 CeedCompositeOperatorCreate(ceed, &op_apply); 128 CeedCompositeOperatorAddSub(op_apply, op_mass); 129 CeedCompositeOperatorAddSub(op_apply, op_diff); 130 131 // Fully assemble operator 132 for (int k=0; k<num_dofs*num_dofs; ++k) { 133 assembled[k] = 0.0; 134 assembled_true[k] = 0.0; 135 } 136 CeedInt num_entries; 137 CeedInt *rows; 138 CeedInt *cols; 139 CeedVector values; 140 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 141 CeedVectorCreate(ceed, num_entries, &values); 142 CeedOperatorLinearAssemble(op_apply, values); 143 const CeedScalar *vals; 144 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 145 for (int k=0; k<num_entries; ++k) { 146 assembled[rows[k]*num_dofs + cols[k]] += vals[k]; 147 } 148 CeedVectorRestoreArrayRead(values, &vals); 149 150 // Manually assemble diagonal 151 CeedVectorCreate(ceed, num_dofs, &U); 152 CeedVectorSetValue(U, 0.0); 153 CeedVectorCreate(ceed, num_dofs, &V); 154 for (int i=0; i<num_dofs; i++) { 155 // Set input 156 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 157 u[i] = 1.0; 158 if (i) 159 u[i-1] = 0.0; 160 CeedVectorRestoreArray(U, &u); 161 162 // Compute entries for column i 163 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 164 165 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 166 for (int k=0; k<num_dofs; k++) { 167 assembled_true[i*num_dofs + k] = v[k]; 168 } 169 CeedVectorRestoreArrayRead(V, &v); 170 } 171 172 // Check output 173 for (int i=0; i<num_dofs; i++) 174 for (int j=0; j<num_dofs; j++) 175 if (fabs(assembled[j*num_dofs+i] - assembled_true[j*num_dofs+i]) > 176 100.*CEED_EPSILON) 177 // LCOV_EXCL_START 178 printf("[%d,%d] Error in assembly: %f != %f\n", i, j, 179 assembled[j*num_dofs+i], assembled_true[j*num_dofs+i]); 180 // LCOV_EXCL_STOP 181 182 // Cleanup 183 free(rows); 184 free(cols); 185 CeedVectorDestroy(&values); 186 CeedQFunctionDestroy(&qf_setup_mass); 187 CeedQFunctionDestroy(&qf_setup_diff); 188 CeedQFunctionDestroy(&qf_diff); 189 CeedQFunctionDestroy(&qf_mass); 190 CeedOperatorDestroy(&op_setup_mass); 191 CeedOperatorDestroy(&op_setup_diff); 192 CeedOperatorDestroy(&op_mass); 193 CeedOperatorDestroy(&op_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