1 /// @file 2 /// Test assembly of mass and Poisson operator diagonal 3 /// \test Test assembly of mass and Poisson operator diagonal 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t320-basis.h" 9 #include "t535-operator.h" 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restr_x, elem_restr_u, 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, A, 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 x[dim * num_dofs], assembled_true[num_dofs]; 24 CeedScalar q_ref[dim * Q], q_weight[Q]; 25 CeedScalar interp[P * Q], grad[dim * P * Q]; 26 CeedScalar *u; 27 const CeedScalar *a, *v; 28 29 CeedInit(argv[1], &ceed); 30 31 // DoF Coordinates 32 for (CeedInt i = 0; i < num_dofs; i++) { 33 x[i] = (1. / (n_x * 2)) * (CeedScalar)(i % (n_x * 2 + 1)); 34 x[i + num_dofs] = (1. / (n_y * 2)) * (CeedScalar)(i / (n_x * 2 + 1)); 35 } 36 CeedVectorCreate(ceed, dim * num_dofs, &X); 37 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 38 39 // Qdata Vectors 40 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 41 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 42 43 // Element Setup 44 for (CeedInt i = 0; i < num_elem / 2; i++) { 45 col = i % n_x; 46 row = i / n_x; 47 offset = col * 2 + row * (n_x * 2 + 1) * 2; 48 49 ind_x[i * 2 * P + 0] = 2 + offset; 50 ind_x[i * 2 * P + 1] = 9 + offset; 51 ind_x[i * 2 * P + 2] = 16 + offset; 52 ind_x[i * 2 * P + 3] = 1 + offset; 53 ind_x[i * 2 * P + 4] = 8 + offset; 54 ind_x[i * 2 * P + 5] = 0 + offset; 55 56 ind_x[i * 2 * P + 6] = 14 + offset; 57 ind_x[i * 2 * P + 7] = 7 + offset; 58 ind_x[i * 2 * P + 8] = 0 + offset; 59 ind_x[i * 2 * P + 9] = 15 + offset; 60 ind_x[i * 2 * P + 10] = 8 + offset; 61 ind_x[i * 2 * P + 11] = 16 + offset; 62 } 63 64 // Restrictions 65 CeedElemRestrictionCreate(ceed, num_elem, P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 66 67 CeedElemRestrictionCreate(ceed, num_elem, P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 68 CeedInt strides_qd_mass[3] = {1, Q, Q}; 69 CeedElemRestrictionCreateStrided(ceed, num_elem, Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); 70 71 CeedInt strides_qd_diff[3] = {1, Q, Q * dim * (dim + 1) / 2}; 72 CeedElemRestrictionCreateStrided(ceed, num_elem, Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, &elem_restr_qd_diff_i); 73 74 // Bases 75 buildmats(q_ref, q_weight, interp, grad); 76 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, P, Q, interp, grad, q_ref, q_weight, &basis_x); 77 78 buildmats(q_ref, q_weight, interp, grad); 79 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P, Q, interp, grad, q_ref, q_weight, &basis_u); 80 81 // QFunction - setup mass 82 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 83 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 84 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 85 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 86 87 // Operator - setup mass 88 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 89 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 90 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 91 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 92 93 // QFunction - setup diff 94 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 95 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 96 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 97 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 98 99 // Operator - setup diff 100 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 101 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 102 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 103 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 104 105 // Apply Setup Operators 106 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 107 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 108 109 // QFunction - apply 110 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 111 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 112 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 113 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 114 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 115 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 116 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 117 118 // Operator - apply 119 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 120 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 121 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, q_data_mass); 122 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, q_data_diff); 123 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 124 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 125 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 126 127 // Assemble diagonal 128 CeedVectorCreate(ceed, num_dofs, &A); 129 CeedOperatorLinearAssembleDiagonal(op_apply, A, CEED_REQUEST_IMMEDIATE); 130 131 // Manually assemble diagonal 132 CeedVectorCreate(ceed, num_dofs, &U); 133 CeedVectorSetValue(U, 0.0); 134 CeedVectorCreate(ceed, num_dofs, &V); 135 for (int i = 0; i < num_dofs; i++) { 136 // Set input 137 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 138 u[i] = 1.0; 139 if (i) u[i - 1] = 0.0; 140 CeedVectorRestoreArray(U, &u); 141 142 // Compute diag entry for DoF i 143 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 144 145 // Retrieve entry 146 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 147 assembled_true[i] = v[i]; 148 CeedVectorRestoreArrayRead(V, &v); 149 } 150 151 // Check output 152 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 153 for (int i = 0; i < num_dofs; i++) { 154 if (fabs(a[i] - assembled_true[i]) > 100. * CEED_EPSILON) printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); 155 } 156 CeedVectorRestoreArrayRead(A, &a); 157 158 // Cleanup 159 CeedQFunctionDestroy(&qf_setup_mass); 160 CeedQFunctionDestroy(&qf_setup_diff); 161 CeedQFunctionDestroy(&qf_apply); 162 CeedOperatorDestroy(&op_setup_mass); 163 CeedOperatorDestroy(&op_setup_diff); 164 CeedOperatorDestroy(&op_apply); 165 CeedElemRestrictionDestroy(&elem_restr_u); 166 CeedElemRestrictionDestroy(&elem_restr_x); 167 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 168 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 169 CeedBasisDestroy(&basis_u); 170 CeedBasisDestroy(&basis_x); 171 CeedVectorDestroy(&X); 172 CeedVectorDestroy(&A); 173 CeedVectorDestroy(&q_data_mass); 174 CeedVectorDestroy(&q_data_diff); 175 CeedVectorDestroy(&U); 176 CeedVectorDestroy(&V); 177 CeedDestroy(&ceed); 178 return 0; 179 } 180