lemon/lp_glpk.cc
author athos
Fri, 12 Jan 2007 16:29:06 +0000
changeset 2345 bfcaad2b84e8
parent 2328 b4931ae52069
child 2349 c945f577a66d
permissions -rw-r--r--
One important thing only: equality-type constraint can now be added to an lp. The prettyPrint functions are not too pretty yet, I accept.
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/* -*- C++ -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library
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 *
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 * Copyright (C) 2003-2006
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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///\file
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///\brief Implementation of the LEMON-GLPK lp solver interface.
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#include <lemon/lp_glpk.h>
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//#include <iostream>
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namespace lemon {
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  LpGlpk::LpGlpk() : Parent(), 
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		     lp(lpx_create_prob()) {
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    ///\todo constrol function for this:
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    lpx_set_int_parm(lp, LPX_K_DUAL, 1);
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    messageLevel(0);
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  }
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  LpGlpk::LpGlpk(const LpGlpk &glp) : Parent(glp), 
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				      lp(lpx_create_prob()) {
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    ///\todo constrol function for this:
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    lpx_set_int_parm(lp, LPX_K_DUAL, 1);
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    messageLevel(0);
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    //Coefficient matrix, row bounds
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    lpx_add_rows(lp, lpx_get_num_rows(glp.lp));
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    lpx_add_cols(lp, lpx_get_num_cols(glp.lp));
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    int len;
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    int ind[1+lpx_get_num_cols(glp.lp)];
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    Value val[1+lpx_get_num_cols(glp.lp)];
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    for (int i=1;i<=lpx_get_num_rows(glp.lp);++i)
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      {
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	len=lpx_get_mat_row(glp.lp,i,ind,val);
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	lpx_set_mat_row(lp, i,len,ind,val);
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	lpx_set_row_bnds(lp,i,lpx_get_row_type(glp.lp,i),
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			 lpx_get_row_lb(glp.lp,i),lpx_get_row_ub(glp.lp,i));
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      }
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    //Objective function, coloumn bounds
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    lpx_set_obj_dir(lp, lpx_get_obj_dir(glp.lp));
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    //Objectif function's constant term treated separately
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    lpx_set_obj_coef(lp,0,lpx_get_obj_coef(glp.lp,0));
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    for (int i=1;i<=lpx_get_num_cols(glp.lp);++i)
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      {
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	lpx_set_obj_coef(lp,i,lpx_get_obj_coef(glp.lp,i));
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	lpx_set_col_bnds(lp,i,lpx_get_col_type(glp.lp,i),
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			 lpx_get_col_lb(glp.lp,i),lpx_get_col_ub(glp.lp,i));
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      }
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  }
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  LpGlpk::~LpGlpk() {
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    lpx_delete_prob(lp);
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  }
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  int LpGlpk::_addCol() { 
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    int i=lpx_add_cols(lp, 1);
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    _setColLowerBound(i, -INF);
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    _setColUpperBound(i, INF);
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    return i;
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  }
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  ///\e
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  LpSolverBase &LpGlpk::_newLp()
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  {
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    LpGlpk* newlp=new LpGlpk;
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    return *newlp;
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  }
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  ///\e
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  LpSolverBase &LpGlpk::_copyLp()
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  {
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    LpGlpk* newlp=new LpGlpk(*this);
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    return *newlp;
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  }
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  int LpGlpk::_addRow() { 
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    int i=lpx_add_rows(lp, 1);
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    return i;
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  }
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  void LpGlpk::_eraseCol(int i) {
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    int cols[2];
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    cols[1]=i;
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    lpx_del_cols(lp, 1, cols);
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  }
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  void LpGlpk::_eraseRow(int i) {
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    int rows[2];
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    rows[1]=i;
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    lpx_del_rows(lp, 1, rows);
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  }
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  void LpGlpk::_getColName(int col, std::string & name)
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  {
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    char *n = lpx_get_col_name(lp,col);
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    name = n?n:"";
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  }
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  void LpGlpk::_setColName(int col, const std::string & name)
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  {
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    lpx_set_col_name(lp,col,const_cast<char*>(name.c_str()));
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  }
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  void LpGlpk::_setRowCoeffs(int i, LpRowIterator b, LpRowIterator e) 
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  {
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    std::vector<int> indices;
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    std::vector<Value> values;
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    indices.push_back(0);
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    values.push_back(0);
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    for(LpRowIterator it=b; it!=e; ++it) {
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      indices.push_back(it->first);
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      values.push_back(it->second);
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    }
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    lpx_set_mat_row(lp, i, values.size() - 1, &indices[0], &values[0]);
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  }
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  void LpGlpk::_setColCoeffs(int i, LpColIterator b, LpColIterator e) {
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    std::vector<int> indices;
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    std::vector<Value> values;
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    indices.push_back(0);
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    values.push_back(0);
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    for(LpColIterator it=b; it!=e; ++it) {
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      indices.push_back(it->first);
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      values.push_back(it->second);
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    }
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    lpx_set_mat_col(lp, i, values.size() - 1, &indices[0], &values[0]);
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  }
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  void LpGlpk::_setCoeff(int row, int col, Value value) 
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  {
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    if (lpx_get_num_cols(lp) < lpx_get_num_rows(lp)) {
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      int length=lpx_get_mat_row(lp, row, 0, 0);
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      std::vector<int> indices(length + 2);
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      std::vector<Value> values(length + 2);
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      lpx_get_mat_row(lp, row, &indices[0], &values[0]);
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      //The following code does not suppose that the elements of the
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      //array indices are sorted
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      bool found=false;
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      for (int i = 1; i <= length; ++i) {
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        if (indices[i]==col){
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          found=true;
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          values[i]=value;
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          break;
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        }
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      }
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      if (!found){
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        ++length;
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        indices[length]=col;
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        values[length]=value;
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      }
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      lpx_set_mat_row(lp, row, length, &indices[0], &values[0]);
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    } else {
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      int length=lpx_get_mat_col(lp, col, 0, 0);
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      std::vector<int> indices(length + 2);
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      std::vector<Value> values(length + 2);
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      lpx_get_mat_col(lp, col, &indices[0], &values[0]);
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      //The following code does not suppose that the elements of the
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      //array indices are sorted
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      bool found=false;
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      for (int i = 1; i <= length; ++i) {
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        if (indices[i]==col){
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          found=true;
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          values[i]=value;
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          break;
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        }
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      }
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      if (!found){
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        ++length;
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        indices[length]=row;
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        values[length]=value;
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      }
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      lpx_set_mat_col(lp, col, length, &indices[0], &values[0]);
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    }
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  }
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  LpGlpk::Value LpGlpk::_getCoeff(int row, int col)
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  {
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    int length=lpx_get_mat_row(lp, row, 0, 0);
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    std::vector<int> indices(length + 2);
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    std::vector<Value> values(length + 2);
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    lpx_get_mat_row(lp, row, &indices[0], &values[0]);
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    //The following code does not suppose that the elements of the
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    //array indices are sorted
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    for (int i = 1; i <= length; ++i) {
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      if (indices[i]==col){
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	return values[i];
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      }
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    }
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    return 0;
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  }
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  void LpGlpk::_setColLowerBound(int i, Value lo)
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  {
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    if (lo==INF) {
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      //FIXME error
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    }
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    int b=lpx_get_col_type(lp, i);
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    double up=lpx_get_col_ub(lp, i);	
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    if (lo==-INF) {
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      switch (b) {
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      case LPX_FR:
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      case LPX_LO:
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	lpx_set_col_bnds(lp, i, LPX_FR, lo, up);
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	break;
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      case LPX_UP:
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	break;
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      case LPX_DB:
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      case LPX_FX:
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	lpx_set_col_bnds(lp, i, LPX_UP, lo, up);
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	break;
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      default: ;
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	//FIXME error
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      }
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    } else {
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      switch (b) {
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      case LPX_FR:
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      case LPX_LO:
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	lpx_set_col_bnds(lp, i, LPX_LO, lo, up);
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	break;
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      case LPX_UP:	  
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      case LPX_DB:
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      case LPX_FX:
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	if (lo==up) 
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	  lpx_set_col_bnds(lp, i, LPX_FX, lo, up);
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	else 
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	  lpx_set_col_bnds(lp, i, LPX_DB, lo, up);
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	break;
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      default: ;
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	//FIXME error
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      }
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    }
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  }
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  LpGlpk::Value LpGlpk::_getColLowerBound(int i)
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  {
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    int b=lpx_get_col_type(lp, i);
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      switch (b) {
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      case LPX_LO:
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      case LPX_DB:
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      case LPX_FX:
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	return lpx_get_col_lb(lp, i);	
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      default: ;
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	return -INF;
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      }
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  }
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  void LpGlpk::_setColUpperBound(int i, Value up)
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  {
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    if (up==-INF) {
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      //FIXME error
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    }
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    int b=lpx_get_col_type(lp, i);
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    double lo=lpx_get_col_lb(lp, i);
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    if (up==INF) {
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      switch (b) {
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      case LPX_FR:
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      case LPX_LO:
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	break;
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      case LPX_UP:
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	lpx_set_col_bnds(lp, i, LPX_FR, lo, up);
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	break;
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      case LPX_DB:
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      case LPX_FX:
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	lpx_set_col_bnds(lp, i, LPX_LO, lo, up);
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	break;
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      default: ;
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	//FIXME error
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      }
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    } else {
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      switch (b) {
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      case LPX_FR:
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	lpx_set_col_bnds(lp, i, LPX_UP, lo, up);
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	break;
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      case LPX_UP:
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	lpx_set_col_bnds(lp, i, LPX_UP, lo, up);
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	break;
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      case LPX_LO:
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      case LPX_DB:
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      case LPX_FX:
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	if (lo==up) 
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	  lpx_set_col_bnds(lp, i, LPX_FX, lo, up);
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	else 
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	  lpx_set_col_bnds(lp, i, LPX_DB, lo, up);
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	break;
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      default: ;
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	//FIXME error
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      }
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    }
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  }
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  LpGlpk::Value LpGlpk::_getColUpperBound(int i)
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  {
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   340
    int b=lpx_get_col_type(lp, i);
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      switch (b) {
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      case LPX_UP:
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      case LPX_DB:
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      case LPX_FX:
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	return lpx_get_col_ub(lp, i);	
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      default: ;
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	return INF;
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   348
      }
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  }
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//   void LpGlpk::_setRowLowerBound(int i, Value lo)
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//   {
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//     if (lo==INF) {
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//       //FIXME error
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//     }
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//     int b=lpx_get_row_type(lp, i);
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//     double up=lpx_get_row_ub(lp, i);	
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//     if (lo==-INF) {
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//       switch (b) {
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//       case LPX_FR:
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//       case LPX_LO:
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// 	lpx_set_row_bnds(lp, i, LPX_FR, lo, up);
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// 	break;
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//       case LPX_UP:
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// 	break;
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//       case LPX_DB:
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//       case LPX_FX:
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// 	lpx_set_row_bnds(lp, i, LPX_UP, lo, up);
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// 	break;
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//       default: ;
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// 	//FIXME error
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//       }
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//     } else {
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//       switch (b) {
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//       case LPX_FR:
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//       case LPX_LO:
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// 	lpx_set_row_bnds(lp, i, LPX_LO, lo, up);
athos@1405
   378
// 	break;
athos@1405
   379
//       case LPX_UP:	  
athos@1405
   380
//       case LPX_DB:
athos@1405
   381
//       case LPX_FX:
athos@1405
   382
// 	if (lo==up) 
athos@1405
   383
// 	  lpx_set_row_bnds(lp, i, LPX_FX, lo, up);
athos@1405
   384
// 	else 
athos@1405
   385
// 	  lpx_set_row_bnds(lp, i, LPX_DB, lo, up);
athos@1405
   386
// 	break;
athos@1405
   387
//       default: ;
athos@1405
   388
// 	//FIXME error
athos@1405
   389
//       }
athos@1405
   390
//     }
athos@1405
   391
//   }
athos@1261
   392
  
athos@1405
   393
//   void LpGlpk::_setRowUpperBound(int i, Value up)
athos@1405
   394
//   {
athos@1405
   395
//     if (up==-INF) {
athos@1405
   396
//       //FIXME error
athos@1405
   397
//     }
athos@1405
   398
//     int b=lpx_get_row_type(lp, i);
athos@1405
   399
//     double lo=lpx_get_row_lb(lp, i);
athos@1405
   400
//     if (up==INF) {
athos@1405
   401
//       switch (b) {
athos@1405
   402
//       case LPX_FR:
athos@1405
   403
//       case LPX_LO:
athos@1405
   404
// 	break;
athos@1405
   405
//       case LPX_UP:
athos@1405
   406
// 	lpx_set_row_bnds(lp, i, LPX_FR, lo, up);
athos@1405
   407
// 	break;
athos@1405
   408
//       case LPX_DB:
athos@1405
   409
//       case LPX_FX:
athos@1405
   410
// 	lpx_set_row_bnds(lp, i, LPX_LO, lo, up);
athos@1405
   411
// 	break;
athos@1405
   412
//       default: ;
athos@1405
   413
// 	//FIXME error
athos@1405
   414
//       }
athos@1405
   415
//     } else {
athos@1405
   416
//       switch (b) {
athos@1405
   417
//       case LPX_FR:
athos@1405
   418
// 	lpx_set_row_bnds(lp, i, LPX_UP, lo, up);
athos@1405
   419
// 	break;
athos@1405
   420
//       case LPX_UP:
athos@1405
   421
// 	lpx_set_row_bnds(lp, i, LPX_UP, lo, up);
athos@1405
   422
// 	break;
athos@1405
   423
//       case LPX_LO:
athos@1405
   424
//       case LPX_DB:
athos@1405
   425
//       case LPX_FX:
athos@1405
   426
// 	if (lo==up) 
athos@1405
   427
// 	  lpx_set_row_bnds(lp, i, LPX_FX, lo, up);
athos@1405
   428
// 	else 
athos@1405
   429
// 	  lpx_set_row_bnds(lp, i, LPX_DB, lo, up);
athos@1405
   430
// 	break;
athos@1405
   431
//       default: ;
athos@1405
   432
// 	//FIXME error
athos@1405
   433
//       }
athos@1405
   434
//     }
athos@1405
   435
//   }
athos@1379
   436
athos@1379
   437
  void LpGlpk::_setRowBounds(int i, Value lb, Value ub)
athos@1379
   438
  {
athos@1379
   439
    //Bad parameter
athos@1379
   440
    if (lb==INF || ub==-INF) {
athos@1379
   441
      //FIXME error
athos@1379
   442
    }
athos@1379
   443
athos@1379
   444
    if (lb == -INF){
athos@1379
   445
      if (ub == INF){
athos@1379
   446
	lpx_set_row_bnds(lp, i, LPX_FR, lb, ub);
athos@1379
   447
      }
athos@1379
   448
      else{
athos@1379
   449
	lpx_set_row_bnds(lp, i, LPX_UP, lb, ub);
athos@1379
   450
      }
athos@1379
   451
    }
athos@1379
   452
    else{
athos@1379
   453
      if (ub==INF){
athos@1379
   454
	lpx_set_row_bnds(lp, i, LPX_LO, lb, ub);
athos@1379
   455
athos@1379
   456
      }
athos@1379
   457
      else{
athos@1379
   458
	if (lb == ub){
athos@1379
   459
	  lpx_set_row_bnds(lp, i, LPX_FX, lb, ub);
athos@1379
   460
	}
athos@1379
   461
	else{
athos@1379
   462
	  lpx_set_row_bnds(lp, i, LPX_DB, lb, ub);
athos@1379
   463
	}
athos@1379
   464
      }
athos@1379
   465
    }
athos@1379
   466
athos@1379
   467
  }
athos@2328
   468
athos@2328
   469
  void LpGlpk::_getRowBounds(int i, Value &lb, Value &ub)
athos@2328
   470
  {
athos@2328
   471
athos@2328
   472
    int b=lpx_get_row_type(lp, i);
athos@2328
   473
    switch (b) {
athos@2328
   474
    case LPX_FR:
athos@2328
   475
    case LPX_UP:
athos@2328
   476
      lb = -INF;
athos@2328
   477
	break;
athos@2328
   478
    default: 
athos@2328
   479
      lb=lpx_get_row_lb(lp, i);
athos@2328
   480
    }
athos@2328
   481
athos@2328
   482
    switch (b) {
athos@2328
   483
    case LPX_FR:
athos@2328
   484
    case LPX_LO:
athos@2328
   485
      ub = INF;
athos@2328
   486
	break;
athos@2328
   487
    default: 
athos@2328
   488
      ub=lpx_get_row_ub(lp, i);
athos@2328
   489
    }
athos@2328
   490
    
athos@2328
   491
  }
athos@1261
   492
  
athos@1298
   493
  void LpGlpk::_setObjCoeff(int i, Value obj_coef)
athos@1298
   494
  {
athos@1376
   495
    //i=0 means the constant term (shift)
athos@1298
   496
    lpx_set_obj_coef(lp, i, obj_coef);
athos@1298
   497
  }
athos@1261
   498
athos@2324
   499
  LpGlpk::Value LpGlpk::_getObjCoeff(int i){
athos@2324
   500
    //i=0 means the constant term (shift)
athos@2324
   501
    return lpx_get_obj_coef(lp, i);
athos@2324
   502
  }
athos@2324
   503
athos@1377
   504
  void LpGlpk::_clearObj()
athos@1376
   505
  {
athos@1377
   506
    for (int i=0;i<=lpx_get_num_cols(lp);++i){
athos@1377
   507
      lpx_set_obj_coef(lp, i, 0);
athos@1376
   508
    }
athos@1376
   509
  }
athos@1377
   510
//   void LpGlpk::_setObj(int length,
athos@1377
   511
// 		       int  const * indices, 
athos@1377
   512
// 		       Value  const * values )
athos@1377
   513
//   {
athos@1377
   514
//     Value new_values[1+lpx_num_cols()];
athos@1377
   515
//     for (i=0;i<=lpx_num_cols();++i){
athos@1377
   516
//       new_values[i]=0;
athos@1377
   517
//     }
athos@1377
   518
//     for (i=1;i<=length;++i){
athos@1377
   519
//       new_values[indices[i]]=values[i];
athos@1377
   520
//     }
athos@1377
   521
    
athos@1377
   522
//     for (i=0;i<=lpx_num_cols();++i){
athos@1377
   523
//       lpx_set_obj_coef(lp, i, new_values[i]);
athos@1377
   524
//     }
athos@1377
   525
//   }
alpar@1263
   526
alpar@1303
   527
  LpGlpk::SolveExitStatus LpGlpk::_solve()
alpar@1263
   528
  {
athos@2345
   529
    // A way to check the problem to be solved
athos@2345
   530
    //lpx_write_cpxlp(lp,"naittvan.cpx");    
athos@2345
   531
athos@1458
   532
    int i =  lpx_simplex(lp);
athos@1298
   533
    switch (i) {
athos@1298
   534
    case LPX_E_OK: 
athos@1298
   535
      return SOLVED;
athos@1298
   536
    default:
athos@1298
   537
      return UNSOLVED;
athos@1298
   538
    }
alpar@1263
   539
  }
alpar@1263
   540
alpar@1293
   541
  LpGlpk::Value LpGlpk::_getPrimal(int i)
alpar@1263
   542
  {
athos@1298
   543
    return lpx_get_col_prim(lp,i);
alpar@1263
   544
  }
marci@1787
   545
marci@1787
   546
  LpGlpk::Value LpGlpk::_getDual(int i)
marci@1787
   547
  {
marci@1787
   548
    return lpx_get_row_dual(lp,i);
marci@1787
   549
  }
alpar@1263
   550
  
alpar@1312
   551
  LpGlpk::Value LpGlpk::_getPrimalValue()
alpar@1312
   552
  {
athos@1314
   553
    return lpx_get_obj_val(lp);
alpar@1312
   554
  }
marci@1840
   555
  bool LpGlpk::_isBasicCol(int i) {
marci@1840
   556
    return (lpx_get_col_stat(lp, i)==LPX_BS);
marci@1840
   557
  }
alpar@1312
   558
  
athos@1298
   559
 
alpar@1312
   560
  LpGlpk::SolutionStatus LpGlpk::_getPrimalStatus()
alpar@1294
   561
  {
athos@1298
   562
    int stat=  lpx_get_status(lp);
athos@1298
   563
    switch (stat) {
athos@1298
   564
    case LPX_UNDEF://Undefined (no solve has been run yet)
athos@1298
   565
      return UNDEFINED;
athos@1458
   566
    case LPX_NOFEAS://There is no feasible solution (primal, I guess)
athos@1458
   567
    case LPX_INFEAS://Infeasible 
athos@1458
   568
      return INFEASIBLE;
athos@1458
   569
    case LPX_UNBND://Unbounded
athos@1458
   570
      return INFINITE;
athos@1458
   571
    case LPX_FEAS://Feasible
athos@1458
   572
      return FEASIBLE;
athos@1458
   573
    case LPX_OPT://Feasible
athos@1458
   574
      return OPTIMAL;
athos@1458
   575
    default:
athos@1458
   576
      return UNDEFINED; //to avoid gcc warning
athos@1458
   577
      //FIXME error
athos@1458
   578
    }
athos@1458
   579
  }
athos@1458
   580
athos@1458
   581
  LpGlpk::SolutionStatus LpGlpk::_getDualStatus()
athos@1458
   582
  {
athos@1473
   583
//     std::cout<<"Itt megy: "<<lpx_get_dual_stat(lp)<<std::endl;
athos@1473
   584
//     std::cout<<"Itt a primal: "<<lpx_get_prim_stat(lp)<<std::endl;
athos@1473
   585
alpar@1466
   586
    switch (lpx_get_dual_stat(lp)) {
athos@1458
   587
    case LPX_D_UNDEF://Undefined (no solve has been run yet)
athos@1458
   588
      return UNDEFINED;
athos@1540
   589
    case LPX_D_NOFEAS://There is no dual feasible solution 
athos@1460
   590
//    case LPX_D_INFEAS://Infeasible 
athos@1458
   591
      return INFEASIBLE;
athos@1473
   592
    case LPX_D_FEAS://Feasible    
athos@1473
   593
      switch (lpx_get_status(lp)) {
athos@1473
   594
      case LPX_NOFEAS:
athos@1458
   595
	return INFINITE;
athos@1458
   596
      case LPX_OPT:
athos@1458
   597
	return OPTIMAL;
athos@1458
   598
      default:
athos@1458
   599
	return FEASIBLE;
athos@1458
   600
      }
athos@1458
   601
    default:
athos@1458
   602
      return UNDEFINED; //to avoid gcc warning
athos@1458
   603
      //FIXME error
athos@1458
   604
    }
athos@1458
   605
  }
athos@1458
   606
athos@1463
   607
  LpGlpk::ProblemTypes LpGlpk::_getProblemType()
athos@1458
   608
  {
athos@1460
   609
      //int stat=  lpx_get_status(lp);
athos@1458
   610
    int statp=  lpx_get_prim_stat(lp);
athos@1458
   611
    int statd=  lpx_get_dual_stat(lp);
athos@1464
   612
    if (statp==LPX_P_FEAS && statd==LPX_D_FEAS)
athos@1460
   613
	return PRIMAL_DUAL_FEASIBLE;
athos@1464
   614
    if (statp==LPX_P_FEAS && statd==LPX_D_NOFEAS)
athos@1460
   615
	return PRIMAL_FEASIBLE_DUAL_INFEASIBLE;
athos@1464
   616
    if (statp==LPX_P_NOFEAS && statd==LPX_D_FEAS)
athos@1460
   617
	return PRIMAL_INFEASIBLE_DUAL_FEASIBLE;
athos@1464
   618
    if (statp==LPX_P_NOFEAS && statd==LPX_D_NOFEAS)
athos@1460
   619
	return PRIMAL_DUAL_INFEASIBLE;
athos@1460
   620
    //In all other cases
athos@1460
   621
    return UNKNOWN;
alpar@1294
   622
  }
alpar@1263
   623
alpar@1312
   624
  void LpGlpk::_setMax()
alpar@1312
   625
  {
alpar@1321
   626
    lpx_set_obj_dir(lp, LPX_MAX);
alpar@1321
   627
  }
alpar@1321
   628
alpar@1312
   629
  void LpGlpk::_setMin()
alpar@1312
   630
  {
alpar@1321
   631
    lpx_set_obj_dir(lp, LPX_MIN);
alpar@1321
   632
  }
alpar@1321
   633
athos@2324
   634
  bool LpGlpk::_isMax()
athos@2324
   635
  {
athos@2324
   636
    return (lpx_get_obj_dir(lp)==LPX_MAX);
athos@2324
   637
  }
athos@2324
   638
alpar@1321
   639
 
athos@2324
   640
alpar@1321
   641
  void LpGlpk::messageLevel(int m)
alpar@1321
   642
  {
alpar@1321
   643
    lpx_set_int_parm(lp, LPX_K_MSGLEV, m);
alpar@1321
   644
  }
alpar@1312
   645
alpar@1326
   646
  void LpGlpk::presolver(bool b)
alpar@1326
   647
  {
alpar@1326
   648
    lpx_set_int_parm(lp, LPX_K_PRESOL, b);
alpar@1326
   649
  }
alpar@1326
   650
alpar@1312
   651
 
athos@1261
   652
} //END OF NAMESPACE LEMON