1 /// @file 2 /// Test assembly of composite operator diagonal 3 /// \test Test assembly of composite operator diagonal 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 int main(int argc, char **argv) { 9 Ceed ceed; 10 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff; 11 CeedBasis basis_x, basis_u; 12 CeedQFunction qf_setup_mass, qf_mass, qf_setup_diff, qf_diff; 13 CeedOperator op_setup_mass, op_mass, op_setup_diff, op_diff, op_apply; 14 CeedVector q_data_mass, q_data_diff, x, assembled, u, v; 15 CeedInt num_elem = 6, p = 3, q = 4, dim = 2; 16 CeedInt n_x = 3, n_y = 2; 17 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q; 18 CeedInt ind_x[num_elem * p * p]; 19 CeedScalar assembled_true[num_dofs]; 20 21 CeedInit(argv[1], &ceed); 22 23 // Vectors 24 CeedVectorCreate(ceed, dim * num_dofs, &x); 25 { 26 CeedScalar x_array[dim * num_dofs]; 27 28 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 29 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 30 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 31 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 32 } 33 } 34 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 35 } 36 CeedVectorCreate(ceed, num_dofs, &u); 37 CeedVectorCreate(ceed, num_dofs, &v); 38 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 39 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 40 41 // Restrictions 42 for (CeedInt i = 0; i < num_elem; i++) { 43 CeedInt col, row, offset; 44 col = i % n_x; 45 row = i / n_x; 46 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 47 for (CeedInt j = 0; j < p; j++) { 48 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 49 } 50 } 51 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 52 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 53 54 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 55 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 56 57 CeedInt strides_q_data_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_q_data_diff, 59 &elem_restriction_q_data_diff); 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 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 67 68 // Operator - setup mass 69 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 70 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 71 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 72 CeedOperatorSetField(op_setup_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 73 74 // QFunction - setup diffusion 75 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 76 77 // Operator - setup diffusion 78 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 79 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 80 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 81 CeedOperatorSetField(op_setup_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 82 83 // Apply Setup Operators 84 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 85 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 86 87 // QFunction - apply mass 88 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 89 90 // Operator - apply mass 91 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 92 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 93 CeedOperatorSetField(op_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, q_data_mass); 94 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 95 96 // QFunction - apply diff 97 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 98 99 // Operator - apply 100 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 101 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 102 CeedOperatorSetField(op_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, q_data_diff); 103 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 104 105 // Composite operator 106 CeedCompositeOperatorCreate(ceed, &op_apply); 107 CeedCompositeOperatorAddSub(op_apply, op_mass); 108 CeedCompositeOperatorAddSub(op_apply, op_diff); 109 110 // Assemble diagonal 111 CeedVectorCreate(ceed, num_dofs, &assembled); 112 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE); 113 114 // Manually assemble diagonal 115 CeedVectorSetValue(u, 0.0); 116 for (int i = 0; i < num_dofs; i++) { 117 CeedScalar *u_array; 118 const CeedScalar *v_array; 119 120 // Set input 121 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 122 u_array[i] = 1.0; 123 if (i) u_array[i - 1] = 0.0; 124 CeedVectorRestoreArray(u, &u_array); 125 126 // Compute diag entry for DoF i 127 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 128 129 // Retrieve entry 130 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 131 assembled_true[i] = v_array[i]; 132 CeedVectorRestoreArrayRead(v, &v_array); 133 } 134 135 // Check output 136 { 137 const CeedScalar *assembled_array; 138 139 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 140 for (int i = 0; i < num_dofs; i++) { 141 if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) { 142 // LCOV_EXCL_START 143 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 144 // LCOV_EXCL_STOP 145 } 146 } 147 CeedVectorRestoreArrayRead(assembled, &assembled_array); 148 } 149 150 // Cleanup 151 CeedVectorDestroy(&x); 152 CeedVectorDestroy(&assembled); 153 CeedVectorDestroy(&q_data_mass); 154 CeedVectorDestroy(&q_data_diff); 155 CeedVectorDestroy(&u); 156 CeedVectorDestroy(&v); 157 CeedElemRestrictionDestroy(&elem_restriction_u); 158 CeedElemRestrictionDestroy(&elem_restriction_x); 159 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 160 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 161 CeedBasisDestroy(&basis_u); 162 CeedBasisDestroy(&basis_x); 163 CeedQFunctionDestroy(&qf_setup_mass); 164 CeedQFunctionDestroy(&qf_setup_diff); 165 CeedQFunctionDestroy(&qf_diff); 166 CeedQFunctionDestroy(&qf_mass); 167 CeedOperatorDestroy(&op_setup_mass); 168 CeedOperatorDestroy(&op_setup_diff); 169 CeedOperatorDestroy(&op_mass); 170 CeedOperatorDestroy(&op_diff); 171 CeedOperatorDestroy(&op_apply); 172 CeedDestroy(&ceed); 173 return 0; 174 } 175