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