1 /// @file 2 /// Test assembly of Poisson operator diagonal 3 /// \test Test assembly of Poisson operator diagonal 4 #include "t534-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, elem_restr_qd_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup, qf_diff; 15 CeedOperator op_setup, op_diff; 16 CeedVector q_data, X, A, U, V; 17 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; 18 CeedInt n_x = 3, n_y = 2; 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 x[dim * num_dofs], assembled_true[num_dofs]; 22 CeedScalar *u; 23 const CeedScalar *a, *v; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 29 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 30 x[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 31 x[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 32 } 33 } 34 CeedVectorCreate(ceed, dim * num_dofs, &X); 35 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 36 37 // Qdata Vector 38 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data); 39 40 // Element Setup 41 for (CeedInt i = 0; i < num_elem; i++) { 42 CeedInt col, row, offset; 43 col = i % n_x; 44 row = i / n_x; 45 offset = col * (P - 1) + row * (n_x * 2 + 1) * (P - 1); 46 for (CeedInt j = 0; j < P; j++) { 47 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 48 } 49 } 50 51 // Restrictions 52 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, 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, CEED_USE_POINTER, ind_x, &elem_restr_u); 55 CeedInt strides_qd[3] = {1, Q * Q, Q * Q * dim * (dim + 1) / 2}; 56 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd, &elem_restr_qd_i); 57 58 // Bases 59 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 60 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 61 62 // QFunction - setup 63 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 64 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 65 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 66 CeedQFunctionAddOutput(qf_setup, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 67 68 // Operator - setup 69 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 70 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 71 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 72 CeedOperatorSetField(op_setup, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 73 74 // Apply Setup Operator 75 CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); 76 77 // QFunction - apply 78 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 79 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 80 CeedQFunctionAddInput(qf_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 81 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 82 83 // Operator - apply 84 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 85 CeedOperatorSetField(op_diff, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 86 CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, q_data); 87 CeedOperatorSetField(op_diff, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 88 89 // Assemble diagonal 90 CeedVectorCreate(ceed, num_dofs, &A); 91 CeedOperatorLinearAssembleDiagonal(op_diff, A, CEED_REQUEST_IMMEDIATE); 92 93 // Manually assemble diagonal 94 CeedVectorCreate(ceed, num_dofs, &U); 95 CeedVectorSetValue(U, 0.0); 96 CeedVectorCreate(ceed, num_dofs, &V); 97 for (int i = 0; i < num_dofs; i++) { 98 // Set input 99 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 100 u[i] = 1.0; 101 if (i) u[i - 1] = 0.0; 102 CeedVectorRestoreArray(U, &u); 103 104 // Compute diag entry for DoF i 105 CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE); 106 107 // Retrieve entry 108 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 109 assembled_true[i] = v[i]; 110 CeedVectorRestoreArrayRead(V, &v); 111 } 112 113 // Check output 114 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 115 for (int i = 0; i < num_dofs; i++) { 116 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]); 117 } 118 CeedVectorRestoreArrayRead(A, &a); 119 120 // Cleanup 121 CeedQFunctionDestroy(&qf_setup); 122 CeedQFunctionDestroy(&qf_diff); 123 CeedOperatorDestroy(&op_setup); 124 CeedOperatorDestroy(&op_diff); 125 CeedElemRestrictionDestroy(&elem_restr_u); 126 CeedElemRestrictionDestroy(&elem_restr_x); 127 CeedElemRestrictionDestroy(&elem_restr_qd_i); 128 CeedBasisDestroy(&basis_u); 129 CeedBasisDestroy(&basis_x); 130 CeedVectorDestroy(&X); 131 CeedVectorDestroy(&A); 132 CeedVectorDestroy(&q_data); 133 CeedVectorDestroy(&U); 134 CeedVectorDestroy(&V); 135 CeedDestroy(&ceed); 136 return 0; 137 } 138