1 /// @file 2 /// Test assembly of mass and Poisson operator QFunction 3 /// \test Test assembly of mass and Poisson operator QFunction 4 #include "t532-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_mass_i, elem_restr_qd_diff_i, elem_restr_lin_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_lin; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_lin; 16 CeedVector q_data_mass, q_data_diff, 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 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 % nx; 43 row = i / nx; 44 offset = col * (P - 1) + row * (nx * 2 + 1) * (P - 1); 45 for (CeedInt j = 0; j < P; j++) { 46 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (nx * 2 + 1) + j; 47 } 48 } 49 50 // Restrictions 51 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 52 53 CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 54 CeedInt strides_qd_mass[3] = {1, Q * Q, Q * Q}; 55 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd_mass, &elem_restr_qd_mass_i); 56 57 CeedInt strides_qd_diff[3] = {1, Q * Q, Q * Q * dim * (dim + 1) / 2}; 58 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_qd_diff, 59 &elem_restr_qd_diff_i); 60 61 // Bases 62 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 64 65 // QFunction - setup mass 66 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 67 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 68 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 69 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 70 71 // Operator - setup mass 72 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 73 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 74 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 75 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 76 77 // QFunction - setup diff 78 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 79 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 80 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 81 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 82 83 // Operator - setup diff 84 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 85 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 86 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 87 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 88 89 // Apply Setup Operators 90 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 91 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 92 93 // QFunction - apply 94 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 95 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 96 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 97 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 98 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 99 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 100 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 101 102 // Operator - apply 103 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 104 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 105 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass_i, CEED_BASIS_COLLOCATED, q_data_mass); 106 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff_i, CEED_BASIS_COLLOCATED, q_data_diff); 107 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 108 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 109 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 110 111 // Apply original operator 112 CeedVectorCreate(ceed, num_dofs, &u); 113 CeedVectorSetValue(u, 1.0); 114 CeedVectorCreate(ceed, num_dofs, &v); 115 CeedVectorSetValue(v, 0.0); 116 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 117 118 // Check output 119 CeedScalar area = 0.0; 120 const CeedScalar *vv; 121 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 122 for (CeedInt i = 0; i < num_dofs; i++) area += vv[i]; 123 CeedVectorRestoreArrayRead(v, &vv); 124 if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: True operator computed area = %f != 1.0\n", area); 125 126 // Assemble QFunction 127 CeedOperatorSetQFunctionAssemblyReuse(op_apply, true); 128 CeedOperatorLinearAssembleQFunction(op_apply, &A, &elem_restr_lin_i, CEED_REQUEST_IMMEDIATE); 129 // Second call will be no-op since SetQFunctionUpdated was not called 130 CeedOperatorSetQFunctionAssemblyDataUpdateNeeded(op_apply, false); 131 CeedOperatorLinearAssembleQFunction(op_apply, &A, &elem_restr_lin_i, CEED_REQUEST_IMMEDIATE); 132 133 // QFunction - apply assembled 134 CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_lin); 135 CeedQFunctionAddInput(qf_apply_lin, "du", dim, CEED_EVAL_GRAD); 136 CeedQFunctionAddInput(qf_apply_lin, "qdata", (dim + 1) * (dim + 1), CEED_EVAL_NONE); 137 CeedQFunctionAddInput(qf_apply_lin, "u", 1, CEED_EVAL_INTERP); 138 CeedQFunctionAddOutput(qf_apply_lin, "v", 1, CEED_EVAL_INTERP); 139 CeedQFunctionAddOutput(qf_apply_lin, "dv", dim, CEED_EVAL_GRAD); 140 141 // Operator - apply assembled 142 CeedOperatorCreate(ceed, qf_apply_lin, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply_lin); 143 CeedOperatorSetField(op_apply_lin, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 144 CeedOperatorSetField(op_apply_lin, "qdata", elem_restr_lin_i, CEED_BASIS_COLLOCATED, A); 145 CeedOperatorSetField(op_apply_lin, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 146 CeedOperatorSetField(op_apply_lin, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 147 CeedOperatorSetField(op_apply_lin, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 148 149 // Apply assembled QFunction operator 150 CeedVectorSetValue(v, 0.0); 151 CeedOperatorApply(op_apply_lin, u, v, CEED_REQUEST_IMMEDIATE); 152 153 // Check output 154 area = 0.0; 155 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 156 for (CeedInt i = 0; i < num_dofs; i++) area += vv[i]; 157 CeedVectorRestoreArrayRead(v, &vv); 158 if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: Assembled operator computed area = %f != 1.0\n", area); 159 160 // Cleanup 161 CeedQFunctionDestroy(&qf_setup_mass); 162 CeedQFunctionDestroy(&qf_setup_diff); 163 CeedQFunctionDestroy(&qf_apply); 164 CeedQFunctionDestroy(&qf_apply_lin); 165 CeedOperatorDestroy(&op_setup_mass); 166 CeedOperatorDestroy(&op_setup_diff); 167 CeedOperatorDestroy(&op_apply); 168 CeedOperatorDestroy(&op_apply_lin); 169 CeedElemRestrictionDestroy(&elem_restr_u); 170 CeedElemRestrictionDestroy(&elem_restr_x); 171 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 172 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 173 CeedElemRestrictionDestroy(&elem_restr_lin_i); 174 CeedBasisDestroy(&basis_u); 175 CeedBasisDestroy(&basis_x); 176 CeedVectorDestroy(&X); 177 CeedVectorDestroy(&A); 178 CeedVectorDestroy(&q_data_mass); 179 CeedVectorDestroy(&q_data_diff); 180 CeedVectorDestroy(&u); 181 CeedVectorDestroy(&v); 182 CeedDestroy(&ceed); 183 return 0; 184 } 185