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 <stdio.h> 7 #include <stdlib.h> 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff; 12 CeedBasis basis_x, basis_u; 13 CeedQFunction qf_setup_mass, qf_mass, qf_setup_diff, qf_diff; 14 CeedOperator op_setup_mass, op_mass, op_setup_diff, op_diff, op_apply; 15 CeedVector q_data_mass, q_data_diff, x, assembled, u, v; 16 CeedInt num_elem = 6, p = 3, q = 4, dim = 2; 17 CeedInt n_x = 3, n_y = 2; 18 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q; 19 CeedInt ind_x[num_elem * p * p]; 20 CeedScalar assembled_true[num_dofs]; 21 22 CeedInit(argv[1], &ceed); 23 24 // Vectors 25 CeedVectorCreate(ceed, dim * num_dofs, &x); 26 { 27 CeedScalar x_array[dim * num_dofs]; 28 29 for (CeedInt i = 0; i < n_x * (p - 1) + 1; i++) { 30 for (CeedInt j = 0; j < n_y * (p - 1) + 1; j++) { 31 x_array[i + j * (n_x * (p - 1) + 1) + 0 * num_dofs] = (CeedScalar)i / ((p - 1) * n_x); 32 x_array[i + j * (n_x * (p - 1) + 1) + 1 * num_dofs] = (CeedScalar)j / ((p - 1) * n_y); 33 } 34 } 35 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 36 } 37 CeedVectorCreate(ceed, num_dofs, &u); 38 CeedVectorCreate(ceed, num_dofs, &v); 39 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 40 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 41 42 // Restrictions 43 for (CeedInt i = 0; i < num_elem; i++) { 44 CeedInt col, row, offset; 45 col = i % n_x; 46 row = i / n_x; 47 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 48 for (CeedInt j = 0; j < p; j++) { 49 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 50 } 51 } 52 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 53 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 54 55 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 56 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 57 58 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 60 &elem_restriction_q_data_diff); 61 62 // Bases 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 65 66 // QFunction - setup mass 67 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 68 69 // Operator - setup mass 70 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 71 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 72 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 73 CeedOperatorSetField(op_setup_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 74 75 // QFunction - setup diffusion 76 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 77 78 // Operator - setup diffusion 79 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 80 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 82 CeedOperatorSetField(op_setup_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 83 84 // Apply Setup Operators 85 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 86 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 87 88 // QFunction - apply mass 89 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 90 91 // Operator - apply mass 92 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 93 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 94 CeedOperatorSetField(op_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass); 95 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 96 97 // QFunction - apply diff 98 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 99 100 // Operator - apply 101 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 102 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 103 CeedOperatorSetField(op_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff); 104 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 105 106 // Composite operator 107 CeedCompositeOperatorCreate(ceed, &op_apply); 108 CeedCompositeOperatorAddSub(op_apply, op_mass); 109 CeedCompositeOperatorAddSub(op_apply, op_diff); 110 111 // Assemble diagonal 112 CeedVectorCreate(ceed, num_dofs, &assembled); 113 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE); 114 115 // Manually assemble diagonal 116 CeedVectorSetValue(u, 0.0); 117 for (int i = 0; i < num_dofs; i++) { 118 CeedScalar *u_array; 119 const CeedScalar *v_array; 120 121 // Set input 122 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 123 u_array[i] = 1.0; 124 if (i) u_array[i - 1] = 0.0; 125 CeedVectorRestoreArray(u, &u_array); 126 127 // Compute diag entry for DoF i 128 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 129 130 // Retrieve entry 131 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 132 assembled_true[i] = v_array[i]; 133 CeedVectorRestoreArrayRead(v, &v_array); 134 } 135 136 // Check output 137 { 138 const CeedScalar *assembled_array; 139 140 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 141 for (int i = 0; i < num_dofs; i++) { 142 if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) { 143 // LCOV_EXCL_START 144 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 145 // LCOV_EXCL_STOP 146 } 147 } 148 CeedVectorRestoreArrayRead(assembled, &assembled_array); 149 } 150 151 // Cleanup 152 CeedVectorDestroy(&x); 153 CeedVectorDestroy(&assembled); 154 CeedVectorDestroy(&q_data_mass); 155 CeedVectorDestroy(&q_data_diff); 156 CeedVectorDestroy(&u); 157 CeedVectorDestroy(&v); 158 CeedElemRestrictionDestroy(&elem_restriction_u); 159 CeedElemRestrictionDestroy(&elem_restriction_x); 160 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 161 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 162 CeedBasisDestroy(&basis_u); 163 CeedBasisDestroy(&basis_x); 164 CeedQFunctionDestroy(&qf_setup_mass); 165 CeedQFunctionDestroy(&qf_setup_diff); 166 CeedQFunctionDestroy(&qf_diff); 167 CeedQFunctionDestroy(&qf_mass); 168 CeedOperatorDestroy(&op_setup_mass); 169 CeedOperatorDestroy(&op_setup_diff); 170 CeedOperatorDestroy(&op_mass); 171 CeedOperatorDestroy(&op_diff); 172 CeedOperatorDestroy(&op_apply); 173 CeedDestroy(&ceed); 174 return 0; 175 } 176