1 | /* glpapi05.c (LP basis constructing routines) */ |
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2 | |
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3 | /*********************************************************************** |
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4 | * This code is part of GLPK (GNU Linear Programming Kit). |
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5 | * |
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6 | * Copyright (C) 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, |
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7 | * 2009, 2010 Andrew Makhorin, Department for Applied Informatics, |
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8 | * Moscow Aviation Institute, Moscow, Russia. All rights reserved. |
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9 | * E-mail: <mao@gnu.org>. |
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10 | * |
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11 | * GLPK is free software: you can redistribute it and/or modify it |
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12 | * under the terms of the GNU General Public License as published by |
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13 | * the Free Software Foundation, either version 3 of the License, or |
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14 | * (at your option) any later version. |
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15 | * |
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16 | * GLPK is distributed in the hope that it will be useful, but WITHOUT |
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17 | * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
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18 | * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public |
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19 | * License for more details. |
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20 | * |
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21 | * You should have received a copy of the GNU General Public License |
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22 | * along with GLPK. If not, see <http://www.gnu.org/licenses/>. |
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23 | ***********************************************************************/ |
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24 | |
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25 | #include "glpapi.h" |
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26 | |
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27 | /*********************************************************************** |
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28 | * NAME |
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29 | * |
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30 | * glp_set_row_stat - set (change) row status |
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31 | * |
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32 | * SYNOPSIS |
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33 | * |
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34 | * void glp_set_row_stat(glp_prob *lp, int i, int stat); |
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35 | * |
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36 | * DESCRIPTION |
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37 | * |
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38 | * The routine glp_set_row_stat sets (changes) status of the auxiliary |
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39 | * variable associated with i-th row. |
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40 | * |
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41 | * The new status of the auxiliary variable should be specified by the |
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42 | * parameter stat as follows: |
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43 | * |
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44 | * GLP_BS - basic variable; |
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45 | * GLP_NL - non-basic variable; |
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46 | * GLP_NU - non-basic variable on its upper bound; if the variable is |
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47 | * not double-bounded, this means the same as GLP_NL (only in |
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48 | * case of this routine); |
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49 | * GLP_NF - the same as GLP_NL (only in case of this routine); |
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50 | * GLP_NS - the same as GLP_NL (only in case of this routine). */ |
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51 | |
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52 | void glp_set_row_stat(glp_prob *lp, int i, int stat) |
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53 | { GLPROW *row; |
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54 | if (!(1 <= i && i <= lp->m)) |
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55 | xerror("glp_set_row_stat: i = %d; row number out of range\n", |
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56 | i); |
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57 | if (!(stat == GLP_BS || stat == GLP_NL || stat == GLP_NU || |
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58 | stat == GLP_NF || stat == GLP_NS)) |
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59 | xerror("glp_set_row_stat: i = %d; stat = %d; invalid status\n", |
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60 | i, stat); |
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61 | row = lp->row[i]; |
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62 | if (stat != GLP_BS) |
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63 | { switch (row->type) |
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64 | { case GLP_FR: stat = GLP_NF; break; |
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65 | case GLP_LO: stat = GLP_NL; break; |
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66 | case GLP_UP: stat = GLP_NU; break; |
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67 | case GLP_DB: if (stat != GLP_NU) stat = GLP_NL; break; |
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68 | case GLP_FX: stat = GLP_NS; break; |
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69 | default: xassert(row != row); |
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70 | } |
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71 | } |
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72 | if (row->stat == GLP_BS && stat != GLP_BS || |
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73 | row->stat != GLP_BS && stat == GLP_BS) |
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74 | { /* invalidate the basis factorization */ |
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75 | lp->valid = 0; |
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76 | } |
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77 | row->stat = stat; |
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78 | return; |
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79 | } |
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80 | |
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81 | /*********************************************************************** |
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82 | * NAME |
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83 | * |
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84 | * glp_set_col_stat - set (change) column status |
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85 | * |
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86 | * SYNOPSIS |
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87 | * |
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88 | * void glp_set_col_stat(glp_prob *lp, int j, int stat); |
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89 | * |
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90 | * DESCRIPTION |
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91 | * |
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92 | * The routine glp_set_col_stat sets (changes) status of the structural |
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93 | * variable associated with j-th column. |
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94 | * |
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95 | * The new status of the structural variable should be specified by the |
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96 | * parameter stat as follows: |
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97 | * |
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98 | * GLP_BS - basic variable; |
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99 | * GLP_NL - non-basic variable; |
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100 | * GLP_NU - non-basic variable on its upper bound; if the variable is |
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101 | * not double-bounded, this means the same as GLP_NL (only in |
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102 | * case of this routine); |
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103 | * GLP_NF - the same as GLP_NL (only in case of this routine); |
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104 | * GLP_NS - the same as GLP_NL (only in case of this routine). */ |
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105 | |
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106 | void glp_set_col_stat(glp_prob *lp, int j, int stat) |
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107 | { GLPCOL *col; |
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108 | if (!(1 <= j && j <= lp->n)) |
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109 | xerror("glp_set_col_stat: j = %d; column number out of range\n" |
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110 | , j); |
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111 | if (!(stat == GLP_BS || stat == GLP_NL || stat == GLP_NU || |
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112 | stat == GLP_NF || stat == GLP_NS)) |
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113 | xerror("glp_set_col_stat: j = %d; stat = %d; invalid status\n", |
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114 | j, stat); |
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115 | col = lp->col[j]; |
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116 | if (stat != GLP_BS) |
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117 | { switch (col->type) |
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118 | { case GLP_FR: stat = GLP_NF; break; |
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119 | case GLP_LO: stat = GLP_NL; break; |
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120 | case GLP_UP: stat = GLP_NU; break; |
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121 | case GLP_DB: if (stat != GLP_NU) stat = GLP_NL; break; |
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122 | case GLP_FX: stat = GLP_NS; break; |
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123 | default: xassert(col != col); |
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124 | } |
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125 | } |
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126 | if (col->stat == GLP_BS && stat != GLP_BS || |
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127 | col->stat != GLP_BS && stat == GLP_BS) |
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128 | { /* invalidate the basis factorization */ |
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129 | lp->valid = 0; |
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130 | } |
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131 | col->stat = stat; |
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132 | return; |
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133 | } |
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134 | |
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135 | /*********************************************************************** |
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136 | * NAME |
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137 | * |
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138 | * glp_std_basis - construct standard initial LP basis |
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139 | * |
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140 | * SYNOPSIS |
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141 | * |
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142 | * void glp_std_basis(glp_prob *lp); |
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143 | * |
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144 | * DESCRIPTION |
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145 | * |
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146 | * The routine glp_std_basis builds the "standard" (trivial) initial |
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147 | * basis for the specified problem object. |
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148 | * |
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149 | * In the "standard" basis all auxiliary variables are basic, and all |
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150 | * structural variables are non-basic. */ |
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151 | |
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152 | void glp_std_basis(glp_prob *lp) |
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153 | { int i, j; |
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154 | /* make all auxiliary variables basic */ |
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155 | for (i = 1; i <= lp->m; i++) |
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156 | glp_set_row_stat(lp, i, GLP_BS); |
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157 | /* make all structural variables non-basic */ |
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158 | for (j = 1; j <= lp->n; j++) |
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159 | { GLPCOL *col = lp->col[j]; |
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160 | if (col->type == GLP_DB && fabs(col->lb) > fabs(col->ub)) |
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161 | glp_set_col_stat(lp, j, GLP_NU); |
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162 | else |
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163 | glp_set_col_stat(lp, j, GLP_NL); |
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164 | } |
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165 | return; |
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166 | } |
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167 | |
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168 | /* eof */ |
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