1 /// @file 2 /// Test assembly of operator diagonal for operator with multiple active bases 3 /// \test Test assembly of operator diagonal for operator with multiple active bases 4 #include "t539-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdlib.h> 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedElemRestriction elem_restr_x, elem_restr_u_0, elem_restr_u_1, elem_restr_qd_mass, elem_restr_qd_diff; 13 CeedBasis basis_x, basis_u_0, basis_u_1; 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, A, U, V; 17 CeedInt num_elem = 6, P_0 = 2, P_1 = 3, Q = 4, dim = 2, num_comp_0 = 2, num_comp_1 = 1; 18 CeedInt nx = 3, ny = 2; 19 CeedInt num_dofs_0 = (nx * (P_0 - 1) + 1) * (ny * (P_0 - 1) + 1), num_dofs_1 = (nx * (P_1 - 1) + 1) * (ny * (P_1 - 1) + 1); 20 CeedInt num_qpts = num_elem * Q * Q; 21 CeedInt ind_u_0[num_elem * P_0 * P_0], ind_u_1[num_elem * P_1 * P_1]; 22 CeedScalar x[dim * num_dofs_0], assembled_true[num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1]; 23 CeedScalar *u; 24 const CeedScalar *a, *v; 25 26 CeedInit(argv[1], &ceed); 27 28 // DoF Coordinates 29 for (CeedInt i = 0; i < nx * 2 + 1; i++) { 30 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 31 x[i + j * (nx * 2 + 1) + 0 * num_dofs_0] = (CeedScalar)i / (2 * nx); 32 x[i + j * (nx * 2 + 1) + 1 * num_dofs_0] = (CeedScalar)j / (2 * ny); 33 } 34 } 35 CeedVectorCreate(ceed, dim * num_dofs_0, &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 % nx; 46 row = i / nx; 47 offset = col * (P_0 - 1) + row * (nx * (P_0 - 1) + 1) * (P_0 - 1); 48 for (CeedInt j = 0; j < P_0; j++) { 49 for (CeedInt k = 0; k < P_0; k++) ind_u_0[P_0 * (P_0 * i + k) + j] = offset + k * (nx * (P_0 - 1) + 1) + j; 50 } 51 offset = col * (P_1 - 1) + row * (nx * (P_1 - 1) + 1) * (P_1 - 1) + num_dofs_0 * num_comp_0; 52 for (CeedInt j = 0; j < P_1; j++) { 53 for (CeedInt k = 0; k < P_1; k++) ind_u_1[P_1 * (P_1 * i + k) + j] = offset + k * (nx * (P_1 - 1) + 1) + j; 54 } 55 } 56 57 // Restrictions 58 CeedElemRestrictionCreate(ceed, num_elem, P_0 * P_0, dim, num_dofs_0, dim * num_dofs_0, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_0, &elem_restr_x); 59 CeedElemRestrictionCreate(ceed, num_elem, P_0 * P_0, num_comp_0, num_dofs_0, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, CEED_MEM_HOST, 60 CEED_USE_POINTER, ind_u_0, &elem_restr_u_0); 61 CeedElemRestrictionCreate(ceed, num_elem, P_1 * P_1, num_comp_1, num_dofs_1, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, CEED_MEM_HOST, 62 CEED_USE_POINTER, ind_u_1, &elem_restr_u_1); 63 CeedInt strides_qd_mass[3] = {1, Q * Q, Q * Q}; 64 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass); 65 CeedInt strides_qd_diff[3] = {1, Q * Q, dim * (dim + 1) / 2 * Q * Q}; 66 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, &elem_restr_qd_diff); 67 68 // Bases 69 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P_0, Q, CEED_GAUSS, &basis_x); 70 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_0, P_0, Q, CEED_GAUSS, &basis_u_0); 71 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_1, P_1, Q, CEED_GAUSS, &basis_u_1); 72 73 // QFunction - setup mass 74 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 75 76 // Operator - setup mass 77 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 78 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 79 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 80 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass, 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, CEED_QFUNCTION_NONE, &op_setup_diff); 87 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 88 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 89 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 90 91 // Apply Setup Operators 92 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 93 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 94 95 // QFunction - apply 96 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 97 CeedQFunctionAddInput(qf_apply, "du_0", num_comp_0 * dim, CEED_EVAL_GRAD); 98 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 99 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 100 CeedQFunctionAddInput(qf_apply, "u_0", num_comp_0, CEED_EVAL_INTERP); 101 CeedQFunctionAddInput(qf_apply, "u_1", num_comp_1, CEED_EVAL_INTERP); 102 CeedQFunctionAddOutput(qf_apply, "v_0", num_comp_0, CEED_EVAL_INTERP); 103 CeedQFunctionAddOutput(qf_apply, "v_1", num_comp_1, CEED_EVAL_INTERP); 104 CeedQFunctionAddOutput(qf_apply, "dv_0", num_comp_0 * dim, CEED_EVAL_GRAD); 105 106 // Operator - apply 107 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 108 CeedOperatorSetField(op_apply, "du_0", elem_restr_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 109 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass, CEED_BASIS_COLLOCATED, q_data_mass); 110 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff, CEED_BASIS_COLLOCATED, q_data_diff); 111 CeedOperatorSetField(op_apply, "u_0", elem_restr_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 112 CeedOperatorSetField(op_apply, "u_1", elem_restr_u_1, basis_u_1, CEED_VECTOR_ACTIVE); 113 CeedOperatorSetField(op_apply, "v_0", elem_restr_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 114 CeedOperatorSetField(op_apply, "v_1", elem_restr_u_1, basis_u_1, CEED_VECTOR_ACTIVE); 115 CeedOperatorSetField(op_apply, "dv_0", elem_restr_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 116 117 // Assemble diagonal 118 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &A); 119 CeedOperatorLinearAssembleDiagonal(op_apply, A, CEED_REQUEST_IMMEDIATE); 120 121 // Manually assemble diagonal 122 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &U); 123 CeedVectorSetValue(U, 0.0); 124 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &V); 125 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) assembled_true[i] = 0.0; 126 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) { 127 // Set input 128 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 129 u[i] = 1.0; 130 if (i) u[i - 1] = 0.0; 131 CeedVectorRestoreArray(U, &u); 132 133 // Compute diag entry for DoF i 134 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 135 136 // Retrieve entry 137 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 138 assembled_true[i] = v[i]; 139 CeedVectorRestoreArrayRead(V, &v); 140 } 141 142 // Check output 143 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 144 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) { 145 if (fabs(a[i] - assembled_true[i]) > 1000. * CEED_EPSILON) printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); 146 } 147 CeedVectorRestoreArrayRead(A, &a); 148 149 // Cleanup 150 CeedQFunctionDestroy(&qf_setup_mass); 151 CeedQFunctionDestroy(&qf_setup_diff); 152 CeedQFunctionDestroy(&qf_apply); 153 CeedOperatorDestroy(&op_setup_mass); 154 CeedOperatorDestroy(&op_setup_diff); 155 CeedOperatorDestroy(&op_apply); 156 CeedElemRestrictionDestroy(&elem_restr_x); 157 CeedElemRestrictionDestroy(&elem_restr_u_0); 158 CeedElemRestrictionDestroy(&elem_restr_u_1); 159 CeedElemRestrictionDestroy(&elem_restr_qd_mass); 160 CeedElemRestrictionDestroy(&elem_restr_qd_diff); 161 CeedBasisDestroy(&basis_x); 162 CeedBasisDestroy(&basis_u_0); 163 CeedBasisDestroy(&basis_u_1); 164 CeedVectorDestroy(&q_data_mass); 165 CeedVectorDestroy(&q_data_diff); 166 CeedVectorDestroy(&X); 167 CeedVectorDestroy(&A); 168 CeedVectorDestroy(&U); 169 CeedVectorDestroy(&V); 170 CeedDestroy(&ceed); 171 return 0; 172 } 173