1 /// @file 2 /// Test full assembly of composite operator (see t538) 3 /// \test Test full assembly of composite operator 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, u, v; 15 CeedInt p = 3, q = 4, dim = 2; 16 CeedInt n_x = 3, n_y = 2; 17 CeedInt num_elem = n_x * n_y; 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_values[num_dofs * num_dofs]; 21 CeedScalar assembled_true[num_dofs * num_dofs]; 22 23 CeedInit(argv[1], &ceed); 24 25 // Vectors 26 CeedVectorCreate(ceed, dim * num_dofs, &x); 27 { 28 CeedScalar x_array[dim * num_dofs]; 29 30 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 31 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 32 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 33 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 34 } 35 } 36 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 37 } 38 CeedVectorCreate(ceed, num_dofs, &u); 39 CeedVectorCreate(ceed, num_dofs, &v); 40 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 41 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 42 43 // Restrictions 44 for (CeedInt i = 0; i < num_elem; i++) { 45 CeedInt col, row, offset; 46 47 col = i % n_x; 48 row = i / n_x; 49 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 50 for (CeedInt j = 0; j < p; j++) { 51 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 52 } 53 } 54 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 55 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 56 57 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 58 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 59 60 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; /* *NOPAD* */ 61 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 62 &elem_restriction_q_data_diff); 63 64 // Bases 65 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 67 68 // QFunction - setup mass 69 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 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_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 74 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 75 CeedOperatorSetField(op_setup_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 76 77 // QFunction - setup diffusion 78 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 79 80 // Operator - setup diffusion 81 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 82 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 83 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 84 CeedOperatorSetField(op_setup_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 85 86 // Apply Setup Operators 87 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 88 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 89 90 // QFunction - apply mass 91 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 92 93 // Operator - apply mass 94 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 95 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 96 CeedOperatorSetField(op_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, q_data_mass); 97 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 98 99 // QFunction - apply diff 100 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 101 102 // Operator - apply 103 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 104 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 105 CeedOperatorSetField(op_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, q_data_diff); 106 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 107 108 // Composite operator 109 CeedCompositeOperatorCreate(ceed, &op_apply); 110 CeedCompositeOperatorAddSub(op_apply, op_mass); 111 CeedCompositeOperatorAddSub(op_apply, op_diff); 112 113 // Fully assemble operator 114 CeedSize num_entries; 115 CeedInt *rows; 116 CeedInt *cols; 117 CeedVector assembled; 118 119 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) { 120 assembled_values[k] = 0.0; 121 assembled_true[k] = 0.0; 122 } 123 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 124 CeedVectorCreate(ceed, num_entries, &assembled); 125 CeedOperatorLinearAssemble(op_apply, assembled); 126 { 127 const CeedScalar *assembled_array; 128 129 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 130 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; 131 CeedVectorRestoreArrayRead(assembled, &assembled_array); 132 } 133 134 // Manually assemble diagonal 135 CeedVectorSetValue(u, 0.0); 136 for (CeedInt i = 0; i < num_dofs; i++) { 137 CeedScalar *u_array; 138 const CeedScalar *v_array; 139 140 // Set input 141 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 142 u_array[i] = 1.0; 143 if (i) u_array[i - 1] = 0.0; 144 CeedVectorRestoreArray(u, &u_array); 145 146 // Compute entries for column i 147 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 148 149 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 150 for (CeedInt k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v_array[k]; 151 CeedVectorRestoreArrayRead(v, &v_array); 152 } 153 154 // Check output 155 for (CeedInt i = 0; i < num_dofs; i++) { 156 for (CeedInt j = 0; j < num_dofs; j++) { 157 if (fabs(assembled_values[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 158 // LCOV_EXCL_START 159 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[j * num_dofs + i], 160 assembled_true[j * num_dofs + i]); 161 // LCOV_EXCL_STOP 162 } 163 } 164 } 165 166 // Cleanup 167 free(rows); 168 free(cols); 169 CeedVectorDestroy(&assembled); 170 CeedQFunctionDestroy(&qf_setup_mass); 171 CeedQFunctionDestroy(&qf_setup_diff); 172 CeedQFunctionDestroy(&qf_diff); 173 CeedQFunctionDestroy(&qf_mass); 174 CeedOperatorDestroy(&op_setup_mass); 175 CeedOperatorDestroy(&op_setup_diff); 176 CeedOperatorDestroy(&op_mass); 177 CeedOperatorDestroy(&op_diff); 178 CeedOperatorDestroy(&op_apply); 179 CeedElemRestrictionDestroy(&elem_restriction_u); 180 CeedElemRestrictionDestroy(&elem_restriction_x); 181 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 182 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 183 CeedBasisDestroy(&basis_u); 184 CeedBasisDestroy(&basis_x); 185 CeedVectorDestroy(&x); 186 CeedVectorDestroy(&q_data_mass); 187 CeedVectorDestroy(&q_data_diff); 188 CeedVectorDestroy(&u); 189 CeedVectorDestroy(&v); 190 CeedDestroy(&ceed); 191 return 0; 192 } 193