1 | // Copyright (C) 2004, 2005 International Business Machines and others. |
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2 | // All Rights Reserved. |
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3 | // This code is published under the Common Public License. |
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4 | // |
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5 | // $Id: IpTSymLinearSolver.cpp 523 2005-09-20 18:02:12Z andreasw $ |
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6 | // |
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7 | // Authors: Carl Laird, Andreas Waechter IBM 2004-03-17 |
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8 | |
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9 | #include "IpTSymLinearSolver.hpp" |
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10 | #include "IpTripletHelper.hpp" |
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11 | |
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12 | #ifdef HAVE_CMATH |
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13 | # include <cmath> |
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14 | #else |
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15 | # ifdef HAVE_MATH_H |
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16 | # include <math.h> |
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17 | # else |
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18 | # error "don't have header file for math" |
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19 | # endif |
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20 | #endif |
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21 | |
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22 | namespace Ipopt |
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23 | { |
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24 | #ifdef IP_DEBUG |
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25 | static const Index dbg_verbosity = 0; |
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26 | #endif |
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27 | |
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28 | TSymLinearSolver::TSymLinearSolver |
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29 | (SmartPtr<SparseSymLinearSolverInterface> solver_interface, |
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30 | SmartPtr<TSymScalingMethod> scaling_method) |
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31 | : |
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32 | SymLinearSolver(), |
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33 | atag_(0), |
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34 | dim_(0), |
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35 | nonzeros_triplet_(0), |
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36 | nonzeros_compressed_(0), |
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37 | have_structure_(false), |
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38 | initialized_(false), |
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39 | |
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40 | solver_interface_(solver_interface), |
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41 | scaling_method_(scaling_method), |
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42 | scaling_factors_(NULL), |
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43 | airn_(NULL), |
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44 | ajcn_(NULL) |
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45 | { |
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46 | DBG_START_METH("TSymLinearSolver::TSymLinearSolver()",dbg_verbosity); |
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47 | DBG_ASSERT(IsValid(solver_interface)); |
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48 | } |
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49 | |
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50 | TSymLinearSolver::~TSymLinearSolver() |
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51 | { |
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52 | DBG_START_METH("TSymLinearSolver::~TSymLinearSolver()", |
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53 | dbg_verbosity); |
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54 | delete [] airn_; |
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55 | delete [] ajcn_; |
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56 | delete [] scaling_factors_; |
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57 | } |
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58 | |
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59 | bool TSymLinearSolver::InitializeImpl(const OptionsList& options, |
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60 | const std::string& prefix) |
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61 | { |
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62 | // This option is registered by OrigIpoptNLP |
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63 | options.GetBoolValue("warm_start_same_structure", |
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64 | warm_start_same_structure_, prefix); |
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65 | |
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66 | if (!solver_interface_->Initialize(Jnlst(), IpNLP(), IpData(), IpCq(), |
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67 | options, prefix)) { |
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68 | return false; |
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69 | } |
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70 | |
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71 | if (!warm_start_same_structure_) { |
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72 | // Reset all private data |
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73 | atag_=0; |
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74 | dim_=0; |
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75 | nonzeros_triplet_=0; |
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76 | nonzeros_compressed_=0; |
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77 | have_structure_=false; |
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78 | |
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79 | matrix_format_ = solver_interface_->MatrixFormat(); |
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80 | switch (matrix_format_) { |
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81 | case SparseSymLinearSolverInterface::CSR_Format_0_Offset: |
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82 | triplet_to_csr_converter_ = new TripletToCSRConverter(0); |
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83 | break; |
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84 | case SparseSymLinearSolverInterface::CSR_Format_1_Offset: |
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85 | triplet_to_csr_converter_ = new TripletToCSRConverter(1); |
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86 | break; |
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87 | case SparseSymLinearSolverInterface::Triplet_Format: |
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88 | triplet_to_csr_converter_ = NULL; |
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89 | break; |
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90 | default: |
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91 | DBG_ASSERT(false && "Invalid MatrixFormat returned from solver interface."); |
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92 | return false; |
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93 | } |
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94 | } |
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95 | else { |
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96 | ASSERT_EXCEPTION(have_structure_, INVALID_WARMSTART, |
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97 | "TSymLinearSolver called with warm_start_same_structure, but the internal structures are not initialized."); |
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98 | } |
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99 | |
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100 | // reset the initialize flag to make sure that InitializeStructure |
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101 | // is called for the linear solver |
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102 | initialized_=false; |
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103 | |
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104 | bool retval = true; |
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105 | if (IsValid(scaling_method_)) { |
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106 | IpData().TimingStats().LinearSystemScaling.Start(); |
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107 | retval = scaling_method_->Initialize(Jnlst(), IpNLP(), IpData(), IpCq(), |
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108 | options, prefix); |
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109 | IpData().TimingStats().LinearSystemScaling.End(); |
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110 | } |
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111 | return retval; |
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112 | } |
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113 | |
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114 | ESymSolverStatus |
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115 | TSymLinearSolver::MultiSolve(const SymMatrix& sym_A, |
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116 | std::vector<const Vector*>& rhsV, |
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117 | std::vector<Vector*>& solV, |
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118 | bool check_NegEVals, |
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119 | Index numberOfNegEVals) |
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120 | { |
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121 | DBG_START_METH("TSymLinearSolver::MultiSolve",dbg_verbosity); |
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122 | DBG_ASSERT(!check_NegEVals || ProvidesInertia()); |
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123 | |
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124 | // Check if this object has ever seen a matrix If not, |
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125 | // allocate memory of the matrix structure and copy the nonzeros |
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126 | // structure (it is assumed that this will never change). |
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127 | if (!initialized_) { |
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128 | ESymSolverStatus retval = InitializeStructure(sym_A); |
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129 | if (retval != SYMSOLVER_SUCCESS) { |
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130 | return retval; |
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131 | } |
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132 | } |
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133 | |
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134 | DBG_ASSERT(nonzeros_triplet_== TripletHelper::GetNumberEntries(sym_A)); |
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135 | |
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136 | // Check if the matrix has been changed |
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137 | DBG_PRINT((1,"atag_=%d sym_A->GetTag()=%d\n",atag_,sym_A.GetTag())); |
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138 | bool new_matrix = sym_A.HasChanged(atag_); |
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139 | atag_ = sym_A.GetTag(); |
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140 | |
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141 | // If a new matrix is encountered, get the array for storing the |
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142 | // entries from the linear solver interface, fill in the new |
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143 | // values, compute the new scaling factors (if required), and |
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144 | // scale the matrix |
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145 | if (new_matrix) { |
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146 | GiveMatrixToSolver(true, sym_A); |
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147 | } |
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148 | |
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149 | // Retrieve the right hand sides and scale if required |
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150 | Index nrhs = (Index)rhsV.size(); |
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151 | double* rhs_vals = new double[dim_*nrhs]; |
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152 | for (Index irhs=0; irhs<nrhs; irhs++) { |
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153 | TripletHelper::FillValuesFromVector(dim_, *rhsV[irhs], |
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154 | &rhs_vals[irhs*(dim_)]); |
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155 | if (IsValid(scaling_method_)) { |
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156 | IpData().TimingStats().LinearSystemScaling.Start(); |
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157 | for (Index i=0; i<dim_; i++) { |
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158 | rhs_vals[irhs*(dim_)+i] *= scaling_factors_[i]; |
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159 | } |
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160 | IpData().TimingStats().LinearSystemScaling.End(); |
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161 | } |
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162 | } |
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163 | |
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164 | bool done = false; |
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165 | // Call the linear solver through the interface to solve the |
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166 | // system. This is repeated, if the return values is S_CALL_AGAIN |
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167 | // after the values have been restored (this might be necessary |
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168 | // for MA27 if the size of the work space arrays was not large |
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169 | // enough). |
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170 | ESymSolverStatus retval; |
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171 | while (!done) { |
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172 | const Index* ia; |
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173 | const Index* ja; |
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174 | if (matrix_format_==SparseSymLinearSolverInterface::Triplet_Format) { |
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175 | ia = airn_; |
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176 | ja = ajcn_; |
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177 | } |
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178 | else { |
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179 | ia = triplet_to_csr_converter_->IA(); |
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180 | ja = triplet_to_csr_converter_->JA(); |
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181 | } |
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182 | |
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183 | retval = solver_interface_->MultiSolve(new_matrix, ia, ja, |
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184 | nrhs, rhs_vals, check_NegEVals, |
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185 | numberOfNegEVals); |
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186 | if (retval==SYMSOLVER_CALL_AGAIN) { |
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187 | DBG_PRINT((1, "Solver interface asks to be called again.\n")); |
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188 | GiveMatrixToSolver(false, sym_A); |
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189 | } |
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190 | else { |
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191 | done = true; |
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192 | } |
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193 | } |
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194 | |
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195 | // If the solve was successful, unscale the solution (if required) |
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196 | // and transfer the result into the Vectors |
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197 | if (retval==SYMSOLVER_SUCCESS) { |
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198 | for (Index irhs=0; irhs<nrhs; irhs++) { |
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199 | if (IsValid(scaling_method_)) { |
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200 | IpData().TimingStats().LinearSystemScaling.Start(); |
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201 | for (Index i=0; i<dim_; i++) { |
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202 | rhs_vals[irhs*(dim_)+i] *= scaling_factors_[i]; |
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203 | } |
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204 | IpData().TimingStats().LinearSystemScaling.End(); |
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205 | } |
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206 | TripletHelper::PutValuesInVector(dim_, &rhs_vals[irhs*(dim_)], |
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207 | *solV[irhs]); |
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208 | } |
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209 | } |
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210 | |
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211 | delete[] rhs_vals; |
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212 | |
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213 | return retval; |
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214 | } |
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215 | |
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216 | // Initialize the local copy of the positions of the nonzero |
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217 | // elements |
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218 | ESymSolverStatus |
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219 | TSymLinearSolver::InitializeStructure(const SymMatrix& sym_A) |
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220 | { |
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221 | DBG_START_METH("TSymLinearSolver::InitializeStructure", |
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222 | dbg_verbosity); |
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223 | DBG_ASSERT(!initialized_); |
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224 | |
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225 | ESymSolverStatus retval; |
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226 | |
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227 | // have_structure_ is already true if this is a warm start for a |
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228 | // problem with identical structure |
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229 | if (!have_structure_) { |
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230 | |
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231 | dim_ = sym_A.Dim(); |
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232 | nonzeros_triplet_ = TripletHelper::GetNumberEntries(sym_A); |
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233 | |
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234 | delete [] airn_; |
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235 | delete [] ajcn_; |
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236 | airn_ = new Index[nonzeros_triplet_]; |
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237 | ajcn_ = new Index[nonzeros_triplet_]; |
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238 | |
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239 | TripletHelper::FillRowCol(nonzeros_triplet_, sym_A, airn_, ajcn_); |
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240 | |
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241 | // If the solver wants the compressed format, the converter has to |
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242 | // be initialized |
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243 | const Index *ia; |
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244 | const Index *ja; |
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245 | Index nonzeros; |
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246 | if (matrix_format_ == SparseSymLinearSolverInterface::Triplet_Format) { |
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247 | ia = airn_; |
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248 | ja = ajcn_; |
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249 | nonzeros = nonzeros_triplet_; |
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250 | } |
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251 | else { |
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252 | nonzeros_compressed_ = |
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253 | triplet_to_csr_converter_->InitializeConverter(dim_, nonzeros_triplet_, |
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254 | airn_, ajcn_); |
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255 | ia = triplet_to_csr_converter_->IA(); |
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256 | ja = triplet_to_csr_converter_->JA(); |
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257 | nonzeros = nonzeros_compressed_; |
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258 | } |
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259 | |
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260 | retval = solver_interface_->InitializeStructure(dim_, nonzeros, ia, ja); |
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261 | if (retval != SYMSOLVER_SUCCESS) { |
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262 | return retval; |
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263 | } |
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264 | |
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265 | // Get space for the scaling factors |
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266 | delete [] scaling_factors_; |
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267 | if (IsValid(scaling_method_)) { |
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268 | IpData().TimingStats().LinearSystemScaling.Start(); |
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269 | scaling_factors_ = new double[dim_]; |
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270 | IpData().TimingStats().LinearSystemScaling.End(); |
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271 | } |
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272 | |
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273 | have_structure_ = true; |
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274 | } |
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275 | else { |
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276 | ASSERT_EXCEPTION(dim_==sym_A.Dim(), INVALID_WARMSTART, |
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277 | "TSymLinearSolver called with warm_start_same_structure, but the problem is solved for the first time."); |
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278 | // This is a warm start for identical structure, so we don't need to |
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279 | // recompute the nonzeros location arrays |
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280 | const Index *ia; |
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281 | const Index *ja; |
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282 | Index nonzeros; |
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283 | if (matrix_format_ == SparseSymLinearSolverInterface::Triplet_Format) { |
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284 | ia = airn_; |
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285 | ja = ajcn_; |
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286 | nonzeros = nonzeros_triplet_; |
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287 | } |
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288 | else { |
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289 | ia = triplet_to_csr_converter_->IA(); |
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290 | ja = triplet_to_csr_converter_->JA(); |
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291 | nonzeros = nonzeros_compressed_; |
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292 | } |
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293 | retval = solver_interface_->InitializeStructure(dim_, nonzeros, ia, ja); |
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294 | } |
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295 | initialized_=true; |
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296 | return retval; |
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297 | } |
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298 | |
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299 | Index TSymLinearSolver::NumberOfNegEVals() const |
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300 | { |
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301 | DBG_START_METH("TSymLinearSolver::NumberOfNegEVals",dbg_verbosity); |
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302 | return solver_interface_->NumberOfNegEVals(); |
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303 | } |
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304 | |
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305 | bool TSymLinearSolver::IncreaseQuality() |
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306 | { |
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307 | DBG_START_METH("TSymLinearSolver::IncreaseQuality",dbg_verbosity); |
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308 | |
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309 | return solver_interface_->IncreaseQuality(); |
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310 | } |
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311 | |
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312 | bool TSymLinearSolver::ProvidesInertia() const |
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313 | { |
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314 | DBG_START_METH("TSymLinearSolver::ProvidesInertia",dbg_verbosity); |
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315 | |
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316 | return solver_interface_->ProvidesInertia(); |
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317 | } |
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318 | |
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319 | void TSymLinearSolver::GiveMatrixToSolver(bool new_matrix, |
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320 | const SymMatrix& sym_A) |
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321 | { |
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322 | DBG_START_METH("TSymLinearSolver::GiveMatrixToSolver",dbg_verbosity); |
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323 | DBG_PRINT((1,"new_matrix = %d\n",new_matrix)); |
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324 | |
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325 | double* pa = solver_interface_->GetValuesArrayPtr(); |
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326 | double* atriplet; |
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327 | |
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328 | if (matrix_format_!=SparseSymLinearSolverInterface::Triplet_Format) { |
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329 | atriplet = new double[nonzeros_triplet_]; |
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330 | } |
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331 | else { |
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332 | atriplet = pa; |
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333 | } |
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334 | |
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335 | //DBG_PRINT_MATRIX(3, "Aunscaled", sym_A); |
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336 | TripletHelper::FillValues(nonzeros_triplet_, sym_A, atriplet); |
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337 | if (DBG_VERBOSITY()>=3) { |
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338 | for (Index i=0; i<nonzeros_triplet_; i++) { |
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339 | DBG_PRINT((3, "KKTunscaled(%6d,%6d) = %24.16e\n", airn_[i], ajcn_[i], atriplet[i])); |
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340 | } |
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341 | } |
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342 | |
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343 | if (IsValid(scaling_method_)) { |
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344 | IpData().TimingStats().LinearSystemScaling.Start(); |
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345 | DBG_ASSERT(scaling_factors_); |
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346 | if (new_matrix) { |
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347 | // only compute scaling factors if the matrix has not been |
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348 | // changed since the last call to this method |
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349 | bool retval = |
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350 | scaling_method_->ComputeSymTScalingFactors(dim_, nonzeros_triplet_, |
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351 | airn_, ajcn_, |
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352 | atriplet, scaling_factors_); |
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353 | DBG_ASSERT(retval); |
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354 | retval = false; // is added to make sure compiles doesn't |
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355 | // complain if not in debug mode |
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356 | if (Jnlst().ProduceOutput(J_MOREVECTOR, J_LINEAR_ALGEBRA)) { |
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357 | for (Index i=0; i<dim_; i++) { |
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358 | Jnlst().Printf(J_MOREVECTOR, J_LINEAR_ALGEBRA, |
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359 | "scaling factor[%6d] = %22.17e\n", |
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360 | i, scaling_factors_[i]); |
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361 | } |
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362 | } |
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363 | } |
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364 | for (Index i=0; i<nonzeros_triplet_; i++) { |
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365 | atriplet[i] *= |
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366 | scaling_factors_[airn_[i]-1] * scaling_factors_[ajcn_[i]-1]; |
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367 | } |
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368 | if (DBG_VERBOSITY()>=3) { |
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369 | for (Index i=0; i<nonzeros_triplet_; i++) { |
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370 | DBG_PRINT((3, "KKTscaled(%6d,%6d) = %24.16e\n", airn_[i], ajcn_[i], atriplet[i])); |
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371 | } |
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372 | } |
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373 | IpData().TimingStats().LinearSystemScaling.End(); |
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374 | } |
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375 | |
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376 | if (matrix_format_!=SparseSymLinearSolverInterface::Triplet_Format) { |
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377 | triplet_to_csr_converter_->ConvertValues(nonzeros_triplet_, atriplet, |
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378 | nonzeros_compressed_, pa); |
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379 | delete[] atriplet; |
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380 | } |
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381 | |
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382 | } |
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383 | |
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384 | } // namespace Ipopt |
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