Heur2opt.cpp

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/**@file   Heur2opt.cpp
 * @brief  2-Optimum - combinatorial improvement heuristic for TSP
 * @author Timo Berthold
 */

/*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/

#include <cassert>
#include <iostream>

#include "objscip/objscip.h"
#include "GomoryHuTree.h"
#include "Heur2opt.h"
#include "ProbDataTSP.h"

using namespace tsp;
using namespace std;


/** method finding the edge going from the node with id index1 to the node with id index2 */
static
GRAPHEDGE* findEdge(
   GRAPHNODE*            nodes,              /**< all nodes of the graph */
   GRAPHNODE*            node1,              /**< id of the node where the searched edge starts */
   GRAPHNODE*            node2               /**< id of the node where the searched edge ends */
   )
{  /*lint --e{715}*/
   GRAPHEDGE* edge = node1->first_edge;

   // regard every outgoing edge of node index1 and stop if adjacent to node index2
   while( edge != NULL )
   {
      if( edge->adjac == node2 )
         break;
      edge = edge->next;
   }
   return edge;
}


/** destructor of primal heuristic to free user data (called when SCIP is exiting) */
SCIP_DECL_HEURFREE(Heur2opt::scip_free)
{  /*lint --e{715}*/
   return SCIP_OKAY;
}


/** initialization method of primal heuristic (called after problem was transformed) */
SCIP_DECL_HEURINIT(Heur2opt::scip_init)
{  /*lint --e{715}*/
   return SCIP_OKAY;
}


/** deinitialization method of primal heuristic (called before transformed problem is freed) */
SCIP_DECL_HEUREXIT(Heur2opt::scip_exit)
{  /*lint --e{715}*/
   return SCIP_OKAY;
}


/** solving process initialization method of primal heuristic (called when branch and bound process is about to begin)
 *
 *  This method is called when the presolving was finished and the branch and bound process is about to begin.
 *  The primal heuristic may use this call to initialize its branch and bound specific data.
 *
 */
SCIP_DECL_HEURINITSOL(Heur2opt::scip_initsol)
{  /*lint --e{715}*/
   ProbDataTSP* probdata = dynamic_cast<ProbDataTSP*>(SCIPgetObjProbData(scip));
   graph_ = probdata->getGraph(); /*lint !e613*/
   capture_graph(graph_);

   ncalls_ = 0;
   sol_ = NULL;
   SCIP_CALL( SCIPallocBlockMemoryArray(scip, &tour_, graph_->nnodes) );

   return SCIP_OKAY;
}


/** solving process deinitialization method of primal heuristic (called before branch and bound process data is freed)
 *
 *  This method is called before the branch and bound process is freed.
 *  The primal heuristic should use this call to clean up its branch and bound data.
 */
SCIP_DECL_HEUREXITSOL(Heur2opt::scip_exitsol)
{  /*lint --e{715}*/
   assert( graph_ != 0 );
   assert( tour_ != 0 );

   SCIPfreeBlockMemoryArray(scip, &tour_, graph_->nnodes);
   release_graph(&graph_);

   return SCIP_OKAY;
}


/** execution method of primal heuristic 2-Opt */
SCIP_DECL_HEUREXEC(Heur2opt::scip_exec)
{  /*lint --e{715}*/
   assert( scip != NULL );
   assert( result != NULL );
   assert( heur != NULL );

   SCIP_SOL* sol = SCIPgetBestSol(scip);
   bool newsol;

   // check whether a new solution was found meanwhile
   if( sol != sol_ )
   {
      sol_ = sol;
      ncalls_ = 0;
      newsol = true;
   }
   else
      newsol = false;

   ++ncalls_;

   int nnodes = graph_->nnodes; /*lint !e613*/

   // some cases need not to be handled
   if( nnodes < 4 || sol == NULL || ncalls_ >= nnodes )
   {
      *result = SCIP_DIDNOTRUN;
      return SCIP_OKAY;
   }

   *result= SCIP_DIDNOTFIND;

   GRAPHNODE* nodes = graph_->nodes; /*lint !e613*/

   // get tour from sol and sort edges by length, if new solution was found
   if( newsol )
   {
      GRAPHEDGE* edge;
      GRAPHEDGE* lastedge = NULL;
      GRAPHNODE* node = &nodes[0];
      int i = 0;

      do
      {
         edge = node->first_edge;
         while( edge != NULL )
         {
            // find the next edge of the tour
            if( edge->back != lastedge && SCIPgetSolVal(scip, sol, edge->var) > 0.5 )
            {
               node = edge->adjac;
               lastedge = edge;

               int j;
               // shift edge through the (sorted) array
               for(j = i; j > 0 && tour_[j-1]->length < edge->length; j-- ) /*lint !e613*/
                  tour_[j] = tour_[j-1]; /*lint !e613*/

               // and insert the edge at the right position
               tour_[j] = edge; /*lint !e613*/

               i++;
               break;
            }
            edge = edge->next;
         }
      }
      while ( node != &nodes[0] );
      assert( i == nnodes );
   }

   GRAPHEDGE** edges2test = NULL;
   SCIP_CALL( SCIPallocBufferArray(scip, &edges2test, 4) );

   /* test current edge with all 'longer' edges for improvement if swapping with crossing edges (though do 2Opt for one edge) */
   for( int i = 0; i < ncalls_ && *result != SCIP_FOUNDSOL; i++ )
   {
      edges2test[0] = tour_[ncalls_]; /*lint !e613*/
      edges2test[1] = tour_[i]; /*lint !e613*/
      edges2test[2] = findEdge( nodes, edges2test[0]->back->adjac, edges2test[1]->back->adjac );
      edges2test[3] = findEdge( nodes, edges2test[0]->adjac, edges2test[1]->adjac );
      assert( edges2test[2] != NULL );
      assert( edges2test[3] != NULL );

      // if the new solution is better and variables are not fixed, update and end
      if( edges2test[0]->length + edges2test[1]->length > edges2test[2]->length + edges2test[3]->length
         && SCIPvarGetLbGlobal(edges2test[0]->var) < 0.5
         && SCIPvarGetLbGlobal(edges2test[1]->var) < 0.5
         && SCIPvarGetUbGlobal(edges2test[2]->var) > 0.5
         && SCIPvarGetUbGlobal(edges2test[3]->var) > 0.5 )
      {
         SCIP_Bool success;
         SCIP_SOL* swapsol; // copy of sol with 4 edges swapped

         SCIP_CALL( SCIPcreateSol(scip, &swapsol, heur) );

         // copy the old solution
         for( int j = 0; j < nnodes; j++)
         {
            SCIP_CALL( SCIPsetSolVal(scip, swapsol, tour_[j]->var, 1.0) ); /*lint !e613*/
         }

         // and replace two edges
         SCIP_CALL( SCIPsetSolVal(scip, swapsol, edges2test[0]->var, 0.0) );
         SCIP_CALL( SCIPsetSolVal(scip, swapsol, edges2test[1]->var, 0.0) );
         SCIP_CALL( SCIPsetSolVal(scip, swapsol, edges2test[2]->var, 1.0) );
         SCIP_CALL( SCIPsetSolVal(scip, swapsol, edges2test[3]->var, 1.0) );
         SCIP_CALL( SCIPaddSolFree(scip, &swapsol, &success) );

         assert(success);
         *result = SCIP_FOUNDSOL;
         ncalls_ = 0;
      }
   }
   SCIPfreeBufferArray(scip, &edges2test);

   return SCIP_OKAY;
}


/** clone method which will be used to copy a objective plugin */
SCIP_DECL_HEURCLONE(scip::ObjCloneable* Heur2opt::clone) /*lint !e665*/
{
   return new Heur2opt(scip);
}