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 <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, u, v; 16 CeedInt p = 3, q = 4, dim = 2; 17 CeedInt n_x = 3, n_y = 2; 18 CeedInt num_elem = n_x * n_y; 19 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q; 20 CeedInt ind_x[num_elem * p * p]; 21 CeedScalar assembled_values[num_dofs * num_dofs]; 22 CeedScalar assembled_true[num_dofs * num_dofs]; 23 24 CeedInit(argv[1], &ceed); 25 26 // Vectors 27 CeedVectorCreate(ceed, dim * num_dofs, &x); 28 { 29 CeedScalar x_array[dim * num_dofs]; 30 31 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 32 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 33 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 34 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 35 } 36 } 37 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 38 } 39 CeedVectorCreate(ceed, num_dofs, &u); 40 CeedVectorCreate(ceed, num_dofs, &v); 41 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 42 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 43 44 // Restrictions 45 for (CeedInt i = 0; i < num_elem; i++) { 46 CeedInt col, row, offset; 47 48 col = i % n_x; 49 row = i / n_x; 50 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 51 for (CeedInt j = 0; j < p; j++) { 52 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 53 } 54 } 55 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 56 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 57 58 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 60 61 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; /* *NOPAD* */ 62 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 63 &elem_restriction_q_data_diff); 64 65 // Bases 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 67 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 68 69 // QFunction - setup mass 70 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 71 72 // Operator - setup mass 73 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 74 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 75 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 76 CeedOperatorSetField(op_setup_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 77 78 // QFunction - setup diffusion 79 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 80 81 // Operator - setup diffusion 82 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 83 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 84 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 85 CeedOperatorSetField(op_setup_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 86 87 // Apply Setup Operators 88 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 89 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 90 91 // QFunction - apply mass 92 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 93 94 // Operator - apply mass 95 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 96 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 97 CeedOperatorSetField(op_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, q_data_mass); 98 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 99 100 // QFunction - apply diff 101 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 102 103 // Operator - apply 104 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 105 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 106 CeedOperatorSetField(op_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, q_data_diff); 107 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 108 109 // Composite operator 110 CeedCompositeOperatorCreate(ceed, &op_apply); 111 CeedCompositeOperatorAddSub(op_apply, op_mass); 112 CeedCompositeOperatorAddSub(op_apply, op_diff); 113 114 // Fully assemble operator 115 CeedSize num_entries; 116 CeedInt *rows; 117 CeedInt *cols; 118 CeedVector assembled; 119 120 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) { 121 assembled_values[k] = 0.0; 122 assembled_true[k] = 0.0; 123 } 124 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 125 CeedVectorCreate(ceed, num_entries, &assembled); 126 CeedOperatorLinearAssemble(op_apply, assembled); 127 { 128 const CeedScalar *assembled_array; 129 130 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 131 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; 132 CeedVectorRestoreArrayRead(assembled, &assembled_array); 133 } 134 135 // Manually assemble diagonal 136 CeedVectorSetValue(u, 0.0); 137 for (CeedInt i = 0; i < num_dofs; i++) { 138 CeedScalar *u_array; 139 const CeedScalar *v_array; 140 141 // Set input 142 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 143 u_array[i] = 1.0; 144 if (i) u_array[i - 1] = 0.0; 145 CeedVectorRestoreArray(u, &u_array); 146 147 // Compute entries for column i 148 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 149 150 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 151 for (CeedInt k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v_array[k]; 152 CeedVectorRestoreArrayRead(v, &v_array); 153 } 154 155 // Check output 156 for (CeedInt i = 0; i < num_dofs; i++) { 157 for (CeedInt j = 0; j < num_dofs; j++) { 158 if (fabs(assembled_values[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 159 // LCOV_EXCL_START 160 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[j * num_dofs + i], 161 assembled_true[j * num_dofs + i]); 162 // LCOV_EXCL_STOP 163 } 164 } 165 } 166 167 // Cleanup 168 free(rows); 169 free(cols); 170 CeedVectorDestroy(&assembled); 171 CeedQFunctionDestroy(&qf_setup_mass); 172 CeedQFunctionDestroy(&qf_setup_diff); 173 CeedQFunctionDestroy(&qf_diff); 174 CeedQFunctionDestroy(&qf_mass); 175 CeedOperatorDestroy(&op_setup_mass); 176 CeedOperatorDestroy(&op_setup_diff); 177 CeedOperatorDestroy(&op_mass); 178 CeedOperatorDestroy(&op_diff); 179 CeedOperatorDestroy(&op_apply); 180 CeedElemRestrictionDestroy(&elem_restriction_u); 181 CeedElemRestrictionDestroy(&elem_restriction_x); 182 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 183 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 184 CeedBasisDestroy(&basis_u); 185 CeedBasisDestroy(&basis_x); 186 CeedVectorDestroy(&x); 187 CeedVectorDestroy(&q_data_mass); 188 CeedVectorDestroy(&q_data_diff); 189 CeedVectorDestroy(&u); 190 CeedVectorDestroy(&v); 191 CeedDestroy(&ceed); 192 return 0; 193 } 194