/* -*- mode: C++; indent-tabs-mode: nil; -*-

  *

  * This file is a part of LEMON, a generic C++ optimization library.

  *

  * Copyright (C) 2003-2009

  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

  * (Egervary Research Group on Combinatorial Optimization, EGRES).

  *

  * Permission to use, modify and distribute this software is granted

  * provided that this copyright notice appears in all copies. For

  * precise terms see the accompanying LICENSE file.

  *

  * This software is provided "AS IS" with no warranty of any kind,

  * express or implied, and with no claim as to its suitability for any

  * purpose.

  *

  */

 ///\file

 ///\brief Implementation of the LEMON GLPK LP and MIP solver interface.

 #include <lemon/glpk.h>

 #include <glpk.h>

 #include <lemon/assert.h>

 namespace lemon {

   // GlpkBase members

   GlpkBase::GlpkBase() : LpBase() {

     lp = glp_create_prob();

     glp_create_index(lp);

     messageLevel(MESSAGE_NOTHING);

   }

   GlpkBase::GlpkBase(const GlpkBase &other) : LpBase() {

     lp = glp_create_prob();

     glp_copy_prob(lp, other.lp, GLP_ON);

     glp_create_index(lp);

     rows = other.rows;

     cols = other.cols;

     messageLevel(MESSAGE_NOTHING);

   }

   GlpkBase::~GlpkBase() {

     glp_delete_prob(lp);

   }

   int GlpkBase::_addCol() {

     int i = glp_add_cols(lp, 1);

     glp_set_col_bnds(lp, i, GLP_FR, 0.0, 0.0);

     return i;

   }

   int GlpkBase::_addRow() {

     int i = glp_add_rows(lp, 1);

     glp_set_row_bnds(lp, i, GLP_FR, 0.0, 0.0);

     return i;

   }

   void GlpkBase::_eraseCol(int i) {

     int ca[2];

     ca[1] = i;

     glp_del_cols(lp, 1, ca);

   }

   void GlpkBase::_eraseRow(int i) {

     int ra[2];

     ra[1] = i;

     glp_del_rows(lp, 1, ra);

   }

   void GlpkBase::_eraseColId(int i) {

     cols.eraseIndex(i);

     cols.shiftIndices(i);

   }

   void GlpkBase::_eraseRowId(int i) {

     rows.eraseIndex(i);

     rows.shiftIndices(i);

   }

   void GlpkBase::_getColName(int c, std::string& name) const {

     const char *str = glp_get_col_name(lp, c);

     if (str) name = str;

     else name.clear();

   }

   void GlpkBase::_setColName(int c, const std::string & name) {

     glp_set_col_name(lp, c, const_cast<char*>(name.c_str()));

   }

   int GlpkBase::_colByName(const std::string& name) const {

     int k = glp_find_col(lp, const_cast<char*>(name.c_str()));

     return k > 0 ? k : -1;

   }

   void GlpkBase::_getRowName(int r, std::string& name) const {

     const char *str = glp_get_row_name(lp, r);

     if (str) name = str;

     else name.clear();

   }

   void GlpkBase::_setRowName(int r, const std::string & name) {

     glp_set_row_name(lp, r, const_cast<char*>(name.c_str()));

   }

   int GlpkBase::_rowByName(const std::string& name) const {

     int k = glp_find_row(lp, const_cast<char*>(name.c_str()));

     return k > 0 ? k : -1;

   }

   void GlpkBase::_setRowCoeffs(int i, ExprIterator b, ExprIterator e) {

     std::vector<int> indexes;

     std::vector<Value> values;

     indexes.push_back(0);

     values.push_back(0);

     for(ExprIterator it = b; it != e; ++it) {

       indexes.push_back(it->first);

       values.push_back(it->second);

     }

     glp_set_mat_row(lp, i, values.size() - 1,

                     &indexes.front(), &values.front());

   }

   void GlpkBase::_getRowCoeffs(int ix, InsertIterator b) const {

     int length = glp_get_mat_row(lp, ix, 0, 0);

     std::vector<int> indexes(length + 1);

     std::vector<Value> values(length + 1);

     glp_get_mat_row(lp, ix, &indexes.front(), &values.front());

     for (int i = 1; i <= length; ++i) {

       *b = std::make_pair(indexes[i], values[i]);

       ++b;

     }

   }

   void GlpkBase::_setColCoeffs(int ix, ExprIterator b,

                                      ExprIterator e) {

     std::vector<int> indexes;

     std::vector<Value> values;

     indexes.push_back(0);

     values.push_back(0);

     for(ExprIterator it = b; it != e; ++it) {

       indexes.push_back(it->first);

       values.push_back(it->second);

     }

     glp_set_mat_col(lp, ix, values.size() - 1,

                     &indexes.front(), &values.front());

   }

   void GlpkBase::_getColCoeffs(int ix, InsertIterator b) const {

     int length = glp_get_mat_col(lp, ix, 0, 0);

     std::vector<int> indexes(length + 1);

     std::vector<Value> values(length + 1);

     glp_get_mat_col(lp, ix, &indexes.front(), &values.front());

     for (int i = 1; i  <= length; ++i) {

       *b = std::make_pair(indexes[i], values[i]);

       ++b;

     }

   }

   void GlpkBase::_setCoeff(int ix, int jx, Value value) {

     if (glp_get_num_cols(lp) < glp_get_num_rows(lp)) {

       int length = glp_get_mat_row(lp, ix, 0, 0);

       std::vector<int> indexes(length + 2);

       std::vector<Value> values(length + 2);

       glp_get_mat_row(lp, ix, &indexes.front(), &values.front());

       //The following code does not suppose that the elements of the

       //array indexes are sorted

       bool found = false;

       for (int i = 1; i  <= length; ++i) {

         if (indexes[i] == jx) {

           found = true;

           values[i] = value;

           break;

         }

       }

       if (!found) {

         ++length;

         indexes[length] = jx;

         values[length] = value;

       }

       glp_set_mat_row(lp, ix, length, &indexes.front(), &values.front());

     } else {

       int length = glp_get_mat_col(lp, jx, 0, 0);

       std::vector<int> indexes(length + 2);

       std::vector<Value> values(length + 2);

       glp_get_mat_col(lp, jx, &indexes.front(), &values.front());

       //The following code does not suppose that the elements of the

       //array indexes are sorted

       bool found = false;

       for (int i = 1; i <= length; ++i) {

         if (indexes[i] == ix) {

           found = true;

           values[i] = value;

           break;

         }

       }

       if (!found) {

         ++length;

         indexes[length] = ix;

         values[length] = value;

       }

       glp_set_mat_col(lp, jx, length, &indexes.front(), &values.front());

     }

   }

   GlpkBase::Value GlpkBase::_getCoeff(int ix, int jx) const {

     int length = glp_get_mat_row(lp, ix, 0, 0);

     std::vector<int> indexes(length + 1);

     std::vector<Value> values(length + 1);

     glp_get_mat_row(lp, ix, &indexes.front(), &values.front());

     for (int i = 1; i  <= length; ++i) {

       if (indexes[i] == jx) {

         return values[i];

       }

     }

     return 0;

   }

   void GlpkBase::_setColLowerBound(int i, Value lo) {

     LEMON_ASSERT(lo != INF, "Invalid bound");

     int b = glp_get_col_type(lp, i);

     double up = glp_get_col_ub(lp, i);

     if (lo == -INF) {

       switch (b) {

       case GLP_FR:

       case GLP_LO:

         glp_set_col_bnds(lp, i, GLP_FR, lo, up);

         break;

       case GLP_UP:

         break;

       case GLP_DB:

       case GLP_FX:

         glp_set_col_bnds(lp, i, GLP_UP, lo, up);

         break;

       default:

         break;

       }

     } else {

       switch (b) {

       case GLP_FR:

       case GLP_LO:

         glp_set_col_bnds(lp, i, GLP_LO, lo, up);

         break;

       case GLP_UP:

       case GLP_DB:

       case GLP_FX:

         if (lo == up)

           glp_set_col_bnds(lp, i, GLP_FX, lo, up);

         else

           glp_set_col_bnds(lp, i, GLP_DB, lo, up);

         break;

       default:

         break;

       }

     }

   }

   GlpkBase::Value GlpkBase::_getColLowerBound(int i) const {

     int b = glp_get_col_type(lp, i);

     switch (b) {

     case GLP_LO:

     case GLP_DB:

     case GLP_FX:

       return glp_get_col_lb(lp, i);

     default:

       return -INF;

     }

   }

   void GlpkBase::_setColUpperBound(int i, Value up) {

     LEMON_ASSERT(up != -INF, "Invalid bound");

     int b = glp_get_col_type(lp, i);

     double lo = glp_get_col_lb(lp, i);

     if (up == INF) {

       switch (b) {

       case GLP_FR:

       case GLP_LO:

         break;

       case GLP_UP:

         glp_set_col_bnds(lp, i, GLP_FR, lo, up);

         break;

       case GLP_DB:

       case GLP_FX:

         glp_set_col_bnds(lp, i, GLP_LO, lo, up);

         break;

       default:

         break;

       }

     } else {

       switch (b) {

       case GLP_FR:

         glp_set_col_bnds(lp, i, GLP_UP, lo, up);

         break;

       case GLP_UP:

         glp_set_col_bnds(lp, i, GLP_UP, lo, up);

         break;

       case GLP_LO:

       case GLP_DB:

       case GLP_FX:

         if (lo == up)

           glp_set_col_bnds(lp, i, GLP_FX, lo, up);

         else

           glp_set_col_bnds(lp, i, GLP_DB, lo, up);

         break;

       default:

         break;

       }

     }

   }

   GlpkBase::Value GlpkBase::_getColUpperBound(int i) const {

     int b = glp_get_col_type(lp, i);

       switch (b) {

       case GLP_UP:

       case GLP_DB:

       case GLP_FX:

         return glp_get_col_ub(lp, i);

       default:

         return INF;

       }

   }

   void GlpkBase::_setRowLowerBound(int i, Value lo) {

     LEMON_ASSERT(lo != INF, "Invalid bound");

     int b = glp_get_row_type(lp, i);

     double up = glp_get_row_ub(lp, i);

     if (lo == -INF) {

       switch (b) {

       case GLP_FR:

       case GLP_LO:

         glp_set_row_bnds(lp, i, GLP_FR, lo, up);

         break;

       case GLP_UP:

         break;

       case GLP_DB:

       case GLP_FX:

         glp_set_row_bnds(lp, i, GLP_UP, lo, up);

         break;

       default:

         break;

       }

     } else {

       switch (b) {

       case GLP_FR:

       case GLP_LO:

         glp_set_row_bnds(lp, i, GLP_LO, lo, up);

         break;

       case GLP_UP:

       case GLP_DB:

       case GLP_FX:

         if (lo == up)

           glp_set_row_bnds(lp, i, GLP_FX, lo, up);

         else

           glp_set_row_bnds(lp, i, GLP_DB, lo, up);

         break;

       default:

         break;

       }

     }

   }

   GlpkBase::Value GlpkBase::_getRowLowerBound(int i) const {

     int b = glp_get_row_type(lp, i);

     switch (b) {

     case GLP_LO:

     case GLP_DB:

     case GLP_FX:

       return glp_get_row_lb(lp, i);

     default:

       return -INF;

     }

   }

   void GlpkBase::_setRowUpperBound(int i, Value up) {

     LEMON_ASSERT(up != -INF, "Invalid bound");

     int b = glp_get_row_type(lp, i);

     double lo = glp_get_row_lb(lp, i);

     if (up == INF) {

       switch (b) {

       case GLP_FR:

       case GLP_LO:

         break;

       case GLP_UP:

         glp_set_row_bnds(lp, i, GLP_FR, lo, up);

         break;

       case GLP_DB:

       case GLP_FX:

         glp_set_row_bnds(lp, i, GLP_LO, lo, up);

         break;

       default:

         break;

       }

     } else {

       switch (b) {

       case GLP_FR:

         glp_set_row_bnds(lp, i, GLP_UP, lo, up);

         break;

       case GLP_UP:

         glp_set_row_bnds(lp, i, GLP_UP, lo, up);

         break;

       case GLP_LO:

       case GLP_DB:

       case GLP_FX:

         if (lo == up)

           glp_set_row_bnds(lp, i, GLP_FX, lo, up);

         else

           glp_set_row_bnds(lp, i, GLP_DB, lo, up);

         break;

       default:

         break;

       }

     }

   }

   GlpkBase::Value GlpkBase::_getRowUpperBound(int i) const {

     int b = glp_get_row_type(lp, i);

     switch (b) {

     case GLP_UP:

     case GLP_DB:

     case GLP_FX:

       return glp_get_row_ub(lp, i);

     default:

       return INF;

     }

   }

   void GlpkBase::_setObjCoeffs(ExprIterator b, ExprIterator e) {

     for (int i = 1; i <= glp_get_num_cols(lp); ++i) {

       glp_set_obj_coef(lp, i, 0.0);

     }

     for (ExprIterator it = b; it != e; ++it) {

       glp_set_obj_coef(lp, it->first, it->second);

     }

   }

   void GlpkBase::_getObjCoeffs(InsertIterator b) const {

     for (int i = 1; i <= glp_get_num_cols(lp); ++i) {

       Value val = glp_get_obj_coef(lp, i);

       if (val != 0.0) {

         *b = std::make_pair(i, val);

         ++b;

       }

     }

   }

   void GlpkBase::_setObjCoeff(int i, Value obj_coef) {

     //i = 0 means the constant term (shift)

     glp_set_obj_coef(lp, i, obj_coef);

   }

   GlpkBase::Value GlpkBase::_getObjCoeff(int i) const {

     //i = 0 means the constant term (shift)

     return glp_get_obj_coef(lp, i);

   }

   void GlpkBase::_setSense(GlpkBase::Sense sense) {

     switch (sense) {

     case MIN:

       glp_set_obj_dir(lp, GLP_MIN);

       break;

     case MAX:

       glp_set_obj_dir(lp, GLP_MAX);

       break;

     }

   }

   GlpkBase::Sense GlpkBase::_getSense() const {

     switch(glp_get_obj_dir(lp)) {

     case GLP_MIN:

       return MIN;

     case GLP_MAX:

       return MAX;

     default:

       LEMON_ASSERT(false, "Wrong sense");

       return GlpkBase::Sense();

     }

   }

   void GlpkBase::_clear() {

     glp_erase_prob(lp);

   }

   void GlpkBase::freeEnv() {

     glp_free_env();

   }

   void GlpkBase::_messageLevel(MessageLevel level) {

     switch (level) {

     case MESSAGE_NOTHING:

       _message_level = GLP_MSG_OFF;

       break;

     case MESSAGE_ERROR:

       _message_level = GLP_MSG_ERR;

       break;

     case MESSAGE_WARNING:

       _message_level = GLP_MSG_ERR;

       break;

     case MESSAGE_NORMAL:

       _message_level = GLP_MSG_ON;

       break;

     case MESSAGE_VERBOSE:

       _message_level = GLP_MSG_ALL;

       break;

     }

   }

   GlpkBase::FreeEnvHelper GlpkBase::freeEnvHelper;

   // GlpkLp members

   GlpkLp::GlpkLp()

     : LpBase(), LpSolver(), GlpkBase() {

     presolver(false);

   }

   GlpkLp::GlpkLp(const GlpkLp& other)

     : LpBase(other), LpSolver(other), GlpkBase(other) {

     presolver(false);

   }

   GlpkLp* GlpkLp::newSolver() const { return new GlpkLp; }

   GlpkLp* GlpkLp::cloneSolver() const { return new GlpkLp(*this); }

   const char* GlpkLp::_solverName() const { return "GlpkLp"; }

   void GlpkLp::_clear_temporals() {

     _primal_ray.clear();

     _dual_ray.clear();

   }

   GlpkLp::SolveExitStatus GlpkLp::_solve() {

     return solvePrimal();

   }

   GlpkLp::SolveExitStatus GlpkLp::solvePrimal() {

     _clear_temporals();

     glp_smcp smcp;

     glp_init_smcp(&smcp);

     smcp.msg_lev = _message_level;

     smcp.presolve = _presolve;

     // If the basis is not valid we get an error return value.

     // In this case we can try to create a new basis.

     switch (glp_simplex(lp, &smcp)) {

     case 0:

       break;

     case GLP_EBADB:

     case GLP_ESING:

     case GLP_ECOND:

       glp_term_out(false);

       glp_adv_basis(lp, 0);

       glp_term_out(true);

       if (glp_simplex(lp, &smcp) != 0) return UNSOLVED;

       break;

     default:

       return UNSOLVED;

     }

     return SOLVED;

   }

   GlpkLp::SolveExitStatus GlpkLp::solveDual() {

     _clear_temporals();

     glp_smcp smcp;

     glp_init_smcp(&smcp);

     smcp.msg_lev = _message_level;

     smcp.meth = GLP_DUAL;

     smcp.presolve = _presolve;

     // If the basis is not valid we get an error return value.

     // In this case we can try to create a new basis.

     switch (glp_simplex(lp, &smcp)) {

     case 0:

       break;

     case GLP_EBADB:

     case GLP_ESING:

     case GLP_ECOND:

       glp_term_out(false);

       glp_adv_basis(lp, 0);

       glp_term_out(true);

       if (glp_simplex(lp, &smcp) != 0) return UNSOLVED;

       break;

     default:

       return UNSOLVED;

     }

     return SOLVED;

   }

   GlpkLp::Value GlpkLp::_getPrimal(int i) const {

     return glp_get_col_prim(lp, i);

   }

   GlpkLp::Value GlpkLp::_getDual(int i) const {

     return glp_get_row_dual(lp, i);

   }

   GlpkLp::Value GlpkLp::_getPrimalValue() const {

     return glp_get_obj_val(lp);

   }

   GlpkLp::VarStatus GlpkLp::_getColStatus(int i) const {

     switch (glp_get_col_stat(lp, i)) {

     case GLP_BS:

       return BASIC;

     case GLP_UP:

       return UPPER;

     case GLP_LO:

       return LOWER;

     case GLP_NF:

       return FREE;

     case GLP_NS:

       return FIXED;

     default:

       LEMON_ASSERT(false, "Wrong column status");

       return GlpkLp::VarStatus();

     }

   }

   GlpkLp::VarStatus GlpkLp::_getRowStatus(int i) const {

     switch (glp_get_row_stat(lp, i)) {

     case GLP_BS:

       return BASIC;

     case GLP_UP:

       return UPPER;

     case GLP_LO:

       return LOWER;

     case GLP_NF:

       return FREE;

     case GLP_NS:

       return FIXED;

     default:

       LEMON_ASSERT(false, "Wrong row status");

       return GlpkLp::VarStatus();

     }

   }

   GlpkLp::Value GlpkLp::_getPrimalRay(int i) const {

     if (_primal_ray.empty()) {

       int row_num = glp_get_num_rows(lp);

       int col_num = glp_get_num_cols(lp);

       _primal_ray.resize(col_num + 1, 0.0);

       int index = glp_get_unbnd_ray(lp);

       if (index != 0) {

         // The primal ray is found in primal simplex second phase

         LEMON_ASSERT((index <= row_num ? glp_get_row_stat(lp, index) :

                       glp_get_col_stat(lp, index - row_num)) != GLP_BS,

                      "Wrong primal ray");

         bool negate = glp_get_obj_dir(lp) == GLP_MAX;

         if (index > row_num) {

           _primal_ray[index - row_num] = 1.0;

           if (glp_get_col_dual(lp, index - row_num) > 0) {

             negate = !negate;

           }

         } else {

           if (glp_get_row_dual(lp, index) > 0) {

             negate = !negate;

           }

         }

         std::vector<int> ray_indexes(row_num + 1);

         std::vector<Value> ray_values(row_num + 1);

         int ray_length = glp_eval_tab_col(lp, index, &ray_indexes.front(),

                                           &ray_values.front());

         for (int i = 1; i <= ray_length; ++i) {

           if (ray_indexes[i] > row_num) {

             _primal_ray[ray_indexes[i] - row_num] = ray_values[i];

           }

         }

         if (negate) {

           for (int i = 1; i <= col_num; ++i) {

             _primal_ray[i] = - _primal_ray[i];

           }

         }

       } else {

         for (int i = 1; i <= col_num; ++i) {

           _primal_ray[i] = glp_get_col_prim(lp, i);

         }

       }

     }

     return _primal_ray[i];

   }

   GlpkLp::Value GlpkLp::_getDualRay(int i) const {

     if (_dual_ray.empty()) {

       int row_num = glp_get_num_rows(lp);

       _dual_ray.resize(row_num + 1, 0.0);

       int index = glp_get_unbnd_ray(lp);

       if (index != 0) {

         // The dual ray is found in dual simplex second phase

         LEMON_ASSERT((index <= row_num ? glp_get_row_stat(lp, index) :

                       glp_get_col_stat(lp, index - row_num)) == GLP_BS,

                      "Wrong dual ray");

         int idx;

         bool negate = false;

         if (index > row_num) {

           idx = glp_get_col_bind(lp, index - row_num);

           if (glp_get_col_prim(lp, index - row_num) >

               glp_get_col_ub(lp, index - row_num)) {

             negate = true;

           }

         } else {

           idx = glp_get_row_bind(lp, index);

           if (glp_get_row_prim(lp, index) > glp_get_row_ub(lp, index)) {

             negate = true;

           }

         }

         _dual_ray[idx] = negate ?  - 1.0 : 1.0;

         glp_btran(lp, &_dual_ray.front());

       } else {

         double eps = 1e-7;

         // The dual ray is found in primal simplex first phase

         // We assume that the glpk minimizes the slack to get feasible solution

         for (int i = 1; i <= row_num; ++i) {

           int index = glp_get_bhead(lp, i);

           if (index <= row_num) {

             double res = glp_get_row_prim(lp, index);

             if (res > glp_get_row_ub(lp, index) + eps) {

               _dual_ray[i] = -1;

             } else if (res < glp_get_row_lb(lp, index) - eps) {

               _dual_ray[i] = 1;

             } else {

               _dual_ray[i] = 0;

             }

             _dual_ray[i] *= glp_get_rii(lp, index);

           } else {

             double res = glp_get_col_prim(lp, index - row_num);

             if (res > glp_get_col_ub(lp, index - row_num) + eps) {

               _dual_ray[i] = -1;

             } else if (res < glp_get_col_lb(lp, index - row_num) - eps) {

               _dual_ray[i] = 1;

             } else {

               _dual_ray[i] = 0;

             }

             _dual_ray[i] /= glp_get_sjj(lp, index - row_num);

           }

         }

         glp_btran(lp, &_dual_ray.front());

         for (int i = 1; i <= row_num; ++i) {

           _dual_ray[i] /= glp_get_rii(lp, i);

         }

       }

     }

     return _dual_ray[i];

   }

   GlpkLp::ProblemType GlpkLp::_getPrimalType() const {

     if (glp_get_status(lp) == GLP_OPT)

       return OPTIMAL;

     switch (glp_get_prim_stat(lp)) {

     case GLP_UNDEF:

       return UNDEFINED;

     case GLP_FEAS:

     case GLP_INFEAS:

       if (glp_get_dual_stat(lp) == GLP_NOFEAS) {

         return UNBOUNDED;

       } else {

         return UNDEFINED;

       }

     case GLP_NOFEAS:

       return INFEASIBLE;

     default:

       LEMON_ASSERT(false, "Wrong primal type");

       return  GlpkLp::ProblemType();

     }

   }

   GlpkLp::ProblemType GlpkLp::_getDualType() const {

     if (glp_get_status(lp) == GLP_OPT)

       return OPTIMAL;

     switch (glp_get_dual_stat(lp)) {

     case GLP_UNDEF:

       return UNDEFINED;

     case GLP_FEAS:

     case GLP_INFEAS:

       if (glp_get_prim_stat(lp) == GLP_NOFEAS) {

         return UNBOUNDED;

       } else {

         return UNDEFINED;

       }

     case GLP_NOFEAS:

       return INFEASIBLE;

     default:

       LEMON_ASSERT(false, "Wrong primal type");

       return  GlpkLp::ProblemType();

     }

   }

   void GlpkLp::presolver(bool presolve) {

     _presolve = presolve;

   }

   // GlpkMip members

   GlpkMip::GlpkMip()

     : LpBase(), MipSolver(), GlpkBase() {

   }

   GlpkMip::GlpkMip(const GlpkMip& other)

     : LpBase(), MipSolver(), GlpkBase(other) {

   }

   void GlpkMip::_setColType(int i, GlpkMip::ColTypes col_type) {

     switch (col_type) {

     case INTEGER:

       glp_set_col_kind(lp, i, GLP_IV);

       break;

     case REAL:

       glp_set_col_kind(lp, i, GLP_CV);

       break;

     }

   }

   GlpkMip::ColTypes GlpkMip::_getColType(int i) const {

     switch (glp_get_col_kind(lp, i)) {

     case GLP_IV:

     case GLP_BV:

       return INTEGER;

     default:

       return REAL;

     }

   }

   GlpkMip::SolveExitStatus GlpkMip::_solve() {

     glp_smcp smcp;

     glp_init_smcp(&smcp);

     smcp.msg_lev = _message_level;

     smcp.meth = GLP_DUAL;

     // If the basis is not valid we get an error return value.

     // In this case we can try to create a new basis.

     switch (glp_simplex(lp, &smcp)) {

     case 0:

       break;

     case GLP_EBADB:

     case GLP_ESING:

     case GLP_ECOND:

       glp_term_out(false);

       glp_adv_basis(lp, 0);

       glp_term_out(true);

       if (glp_simplex(lp, &smcp) != 0) return UNSOLVED;

       break;

     default:

       return UNSOLVED;

     }

     if (glp_get_status(lp) != GLP_OPT) return SOLVED;

     glp_iocp iocp;

     glp_init_iocp(&iocp);

     iocp.msg_lev = _message_level;

     if (glp_intopt(lp, &iocp) != 0) return UNSOLVED;

     return SOLVED;

   }

   GlpkMip::ProblemType GlpkMip::_getType() const {

     switch (glp_get_status(lp)) {

     case GLP_OPT:

       switch (glp_mip_status(lp)) {

       case GLP_UNDEF:

         return UNDEFINED;

       case GLP_NOFEAS:

         return INFEASIBLE;

       case GLP_FEAS:

         return FEASIBLE;

       case GLP_OPT:

         return OPTIMAL;

       default:

         LEMON_ASSERT(false, "Wrong problem type.");

         return GlpkMip::ProblemType();

       }

     case GLP_NOFEAS:

       return INFEASIBLE;

     case GLP_INFEAS:

     case GLP_FEAS:

       if (glp_get_dual_stat(lp) == GLP_NOFEAS) {

         return UNBOUNDED;

       } else {

         return UNDEFINED;

       }

     default:

       LEMON_ASSERT(false, "Wrong problem type.");

       return GlpkMip::ProblemType();

     }

   }

   GlpkMip::Value GlpkMip::_getSol(int i) const {

     return glp_mip_col_val(lp, i);

   }

   GlpkMip::Value GlpkMip::_getSolValue() const {

     return glp_mip_obj_val(lp);

   }

   GlpkMip* GlpkMip::newSolver() const { return new GlpkMip; }

   GlpkMip* GlpkMip::cloneSolver() const {return new GlpkMip(*this); }

   const char* GlpkMip::_solverName() const { return "GlpkMip"; }

 } //END OF NAMESPACE LEMON