1 /// @file 2 /// Test assembly of Poisson operator QFunction 3 /// \test Test assembly of Poisson operator QFunction 4 #include "t531-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, elem_restr_lin_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup, qf_diff, qf_diff_lin; 15 CeedOperator op_setup, op_diff, op_diff_lin; 16 CeedVector q_data, X, A, u, v; 17 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; 18 CeedInt nx = 3, ny = 2; 19 CeedInt num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * Q * Q; 20 CeedInt ind_x[num_elem * P * P]; 21 CeedScalar x[dim * num_dofs]; 22 23 CeedInit(argv[1], &ceed); 24 25 // DoF Coordinates 26 for (CeedInt i = 0; i < nx * 2 + 1; i++) { 27 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 28 x[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx); 29 x[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny); 30 } 31 } 32 CeedVectorCreate(ceed, dim * num_dofs, &X); 33 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 34 35 // Qdata Vector 36 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data); 37 38 // Element Setup 39 for (CeedInt i = 0; i < num_elem; i++) { 40 CeedInt col, row, offset; 41 col = i % nx; 42 row = i / nx; 43 offset = col * (P - 1) + row * (nx * 2 + 1) * (P - 1); 44 for (CeedInt j = 0; j < P; j++) { 45 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (nx * 2 + 1) + j; 46 } 47 } 48 49 // Restrictions 50 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 51 52 CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 53 CeedInt strides_qd[3] = {1, Q * Q, Q * Q * dim * (dim + 1) / 2}; 54 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd, &elem_restr_qd_i); 55 56 // Bases 57 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 58 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 59 60 // QFunction - setup 61 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 62 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 63 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 64 CeedQFunctionAddOutput(qf_setup, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 65 66 // Operator - setup 67 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 68 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 69 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 70 CeedOperatorSetField(op_setup, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 71 72 // Apply Setup Operator 73 CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); 74 75 // QFunction - apply 76 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 77 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 78 CeedQFunctionAddInput(qf_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 79 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 80 81 // Operator - apply 82 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 83 CeedOperatorSetField(op_diff, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 84 CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, q_data); 85 CeedOperatorSetField(op_diff, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 86 87 // Apply original Poisson Operator 88 CeedVectorCreate(ceed, num_dofs, &u); 89 CeedVectorSetValue(u, 1.0); 90 CeedVectorCreate(ceed, num_dofs, &v); 91 CeedVectorSetValue(v, 0.0); 92 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 93 94 // Check output 95 const CeedScalar *vv; 96 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 97 for (CeedInt i = 0; i < num_dofs; i++) { 98 if (fabs(vv[i]) > 100. * CEED_EPSILON) printf("Error: Operator computed v[%" CeedInt_FMT "] = %f != 0.0\n", i, vv[i]); 99 } 100 CeedVectorRestoreArrayRead(v, &vv); 101 102 // Assemble QFunction 103 CeedOperatorSetQFunctionAssemblyReuse(op_diff, true); 104 CeedOperatorLinearAssembleQFunction(op_diff, &A, &elem_restr_lin_i, CEED_REQUEST_IMMEDIATE); 105 // Second call will be no-op since SetQFunctionUpdated was not called 106 CeedOperatorSetQFunctionAssemblyDataUpdateNeeded(op_diff, false); 107 CeedOperatorLinearAssembleQFunction(op_diff, &A, &elem_restr_lin_i, CEED_REQUEST_IMMEDIATE); 108 109 // QFunction - apply assembled 110 CeedQFunctionCreateInterior(ceed, 1, diff_lin, diff_lin_loc, &qf_diff_lin); 111 CeedQFunctionAddInput(qf_diff_lin, "du", dim, CEED_EVAL_GRAD); 112 CeedQFunctionAddInput(qf_diff_lin, "qdata", dim * dim, CEED_EVAL_NONE); 113 CeedQFunctionAddOutput(qf_diff_lin, "dv", dim, CEED_EVAL_GRAD); 114 115 // Operator - apply assembled 116 CeedOperatorCreate(ceed, qf_diff_lin, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_lin); 117 CeedOperatorSetField(op_diff_lin, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 118 CeedOperatorSetField(op_diff_lin, "qdata", elem_restr_lin_i, CEED_BASIS_COLLOCATED, A); 119 CeedOperatorSetField(op_diff_lin, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 120 121 // Apply new Poisson Operator 122 CeedVectorSetValue(v, 0.0); 123 CeedOperatorApply(op_diff_lin, u, v, CEED_REQUEST_IMMEDIATE); 124 125 // Check output 126 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 127 for (CeedInt i = 0; i < num_dofs; i++) { 128 if (fabs(vv[i]) > 100. * CEED_EPSILON) printf("Error: Linearized operator computed v[i] = %f != 0.0\n", vv[i]); 129 } 130 CeedVectorRestoreArrayRead(v, &vv); 131 132 // Cleanup 133 CeedQFunctionDestroy(&qf_setup); 134 CeedQFunctionDestroy(&qf_diff); 135 CeedQFunctionDestroy(&qf_diff_lin); 136 CeedOperatorDestroy(&op_setup); 137 CeedOperatorDestroy(&op_diff); 138 CeedOperatorDestroy(&op_diff_lin); 139 CeedElemRestrictionDestroy(&elem_restr_u); 140 CeedElemRestrictionDestroy(&elem_restr_x); 141 CeedElemRestrictionDestroy(&elem_restr_qd_i); 142 CeedElemRestrictionDestroy(&elem_restr_lin_i); 143 CeedBasisDestroy(&basis_u); 144 CeedBasisDestroy(&basis_x); 145 CeedVectorDestroy(&X); 146 CeedVectorDestroy(&A); 147 CeedVectorDestroy(&q_data); 148 CeedVectorDestroy(&u); 149 CeedVectorDestroy(&v); 150 CeedDestroy(&ceed); 151 return 0; 152 } 153