prob.c

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/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
/*                                                                           */
/*                  This file is part of the program and library             */
/*         SCIP --- Solving Constraint Integer Programs                      */
/*                                                                           */
/*    Copyright (C) 2002-2020 Konrad-Zuse-Zentrum                            */
/*                            fuer Informationstechnik Berlin                */
/*                                                                           */
/*  SCIP is distributed under the terms of the ZIB Academic License.         */
/*                                                                           */
/*  You should have received a copy of the ZIB Academic License              */
/*  along with SCIP; see the file COPYING. If not visit scipopt.org.         */
/*                                                                           */
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */

/**@file   prob.c
 * @ingroup OTHER_CFILES
 * @brief  Methods and datastructures for storing and manipulating the main problem
 * @author Tobias Achterberg
 */

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

#include "scip/branch.h"
#include "scip/conflictstore.h"
#include "scip/cons.h"
#include "scip/event.h"
#include "scip/lp.h"
#include "scip/primal.h"
#include "scip/prob.h"
#include "scip/pub_cons.h"
#include "scip/pub_lp.h"
#include "scip/pub_message.h"
#include "scip/pub_misc.h"
#include "scip/pub_misc_sort.h"
#include "scip/pub_var.h"
#include "scip/set.h"
#include "scip/stat.h"
#include "scip/struct_cons.h"
#include "scip/struct_lp.h"
#include "scip/struct_prob.h"
#include "scip/struct_set.h"
#include "scip/struct_stat.h"
#include "scip/struct_var.h"
#include "scip/var.h"
#include <string.h>


#define OBJSCALE_MAXDNOM          1000000LL  /**< maximal denominator in objective integral scaling */
#define OBJSCALE_MAXSCALE         1000000.0  /**< maximal scalar to reach objective integrality */
#define OBJSCALE_MAXFINALSCALE       1000.0  /**< maximal final value to apply as scaling */



/*
 * dymanic memory arrays
 */

/** resizes vars array to be able to store at least num entries */
static
SCIP_RETCODE probEnsureVarsMem(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   int                   num                 /**< minimal number of slots in array */
   )
{
   assert(prob != NULL);
   assert(set != NULL);

   if( num > prob->varssize )
   {
      int newsize;

      newsize = SCIPsetCalcMemGrowSize(set, num);
      SCIP_ALLOC( BMSreallocMemoryArray(&prob->vars, newsize) );
      prob->varssize = newsize;
   }
   assert(num <= prob->varssize);

   return SCIP_OKAY;
}

/** resizes fixedvars array to be able to store at least num entries */
static
SCIP_RETCODE probEnsureFixedvarsMem(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   int                   num                 /**< minimal number of slots in array */
   )
{
   assert(prob != NULL);
   assert(set != NULL);

   if( num > prob->fixedvarssize )
   {
      int newsize;

      newsize = SCIPsetCalcMemGrowSize(set, num);
      SCIP_ALLOC( BMSreallocMemoryArray(&prob->fixedvars, newsize) );
      prob->fixedvarssize = newsize;
   }
   assert(num <= prob->fixedvarssize);

   return SCIP_OKAY;
}

/** resizes deletedvars array to be able to store at least num entries */
static
SCIP_RETCODE probEnsureDeletedvarsMem(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   int                   num                 /**< minimal number of slots in array */
   )
{
   assert(prob != NULL);
   assert(set != NULL);

   if( num > prob->deletedvarssize )
   {
      int newsize;

      newsize = SCIPsetCalcMemGrowSize(set, num);
      SCIP_ALLOC( BMSreallocMemoryArray(&prob->deletedvars, newsize) );
      prob->deletedvarssize = newsize;
   }
   assert(num <= prob->deletedvarssize);

   return SCIP_OKAY;
}

/** resizes conss array to be able to store at least num entries */
static
SCIP_RETCODE probEnsureConssMem(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   int                   num                 /**< minimal number of slots in array */
   )
{
   assert(prob != NULL);
   assert(set != NULL);

   if( num > prob->consssize )
   {
      int newsize;

      newsize = SCIPsetCalcMemGrowSize(set, num);
      SCIP_ALLOC( BMSreallocMemoryArray(&prob->conss, newsize) );
      prob->consssize = newsize;
   }
   assert(num <= prob->consssize);

   return SCIP_OKAY;
}

/** returns whether the constraint has a name */
static
SCIP_Bool consHasName(
   SCIP_CONS*            cons                /**< constraint */
   )
{
   const char* name;

   name = SCIPconsGetName(cons);

   return (name != NULL && name[0] != '\0');
}

/** returns whether the variable has a name */
static
SCIP_Bool varHasName(
   SCIP_VAR*             var                 /**< variable */
   )
{
   const char* name;

   name = SCIPvarGetName(var);

   return (name != NULL && name[0] != '\0');
}



/*
 * problem creation
 */

/** creates problem data structure by copying the source problem
 *
 *  If the problem type requires the use of variable pricers, these pricers should be activated with calls
 *  to SCIPactivatePricer(). These pricers are automatically deactivated, when the problem is freed.
 */
SCIP_RETCODE SCIPprobCopy(
   SCIP_PROB**           prob,               /**< pointer to problem data structure */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   const char*           name,               /**< problem name */
   SCIP*                 sourcescip,         /**< source SCIP data structure */
   SCIP_PROB*            sourceprob,         /**< source problem structure */
   SCIP_HASHMAP*         varmap,             /**< a hashmap to store the mapping of source variables corresponding
                                              *   target variables */
   SCIP_HASHMAP*         consmap,            /**< a hashmap to store the mapping of source constraints to the corresponding
                                              *   target constraints */
   SCIP_Bool             global              /**< create a global or a local copy? */
   )
{
   SCIP_PROBDATA* targetdata = NULL;
   SCIP_RESULT result = SCIP_DIDNOTRUN;

   assert(prob != NULL);
   assert(set != NULL);
   assert(blkmem != NULL);
   assert(sourcescip != NULL);
   assert(sourceprob != NULL);
   assert(varmap != NULL);
   assert(consmap != NULL);

   /* create problem and initialize callbacks with NULL */
   SCIP_CALL( SCIPprobCreate(prob, blkmem, set, name, NULL, NULL, NULL, NULL, NULL, NULL, NULL, FALSE) );

   /* call user copy callback method */
   if( sourceprob->probdata != NULL && sourceprob->probcopy != NULL )
   {
      SCIP_CALL( sourceprob->probcopy(set->scip, sourcescip, sourceprob->probdata, varmap, consmap, &targetdata, global, &result) );

      /* evaluate result */
      if( result != SCIP_DIDNOTRUN && result != SCIP_SUCCESS )
      {
         SCIPerrorMessage("probdata copying method returned invalid result <%d>\n", result);
         return SCIP_INVALIDRESULT;
      }

      assert(targetdata == NULL || result == SCIP_SUCCESS);

      /* if copying was successful, add data and callbacks */
      if( result == SCIP_SUCCESS )
      {
         assert( targetdata != NULL );
         (*prob)->probdelorig = sourceprob->probdelorig;
         (*prob)->probtrans = sourceprob->probtrans;
         (*prob)->probdeltrans = sourceprob->probdeltrans;
         (*prob)->probinitsol = sourceprob->probinitsol;
         (*prob)->probexitsol = sourceprob->probexitsol;
         (*prob)->probcopy = sourceprob->probcopy;
         (*prob)->probdata = targetdata;
      }
   }

   return SCIP_OKAY;
}

/** creates problem data structure
 *  If the problem type requires the use of variable pricers, these pricers should be activated with calls
 *  to SCIPactivatePricer(). These pricers are automatically deactivated, when the problem is freed.
 */
SCIP_RETCODE SCIPprobCreate(
   SCIP_PROB**           prob,               /**< pointer to problem data structure */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   const char*           name,               /**< problem name */
   SCIP_DECL_PROBDELORIG ((*probdelorig)),   /**< frees user data of original problem */
   SCIP_DECL_PROBTRANS   ((*probtrans)),     /**< creates user data of transformed problem by transforming original user data */
   SCIP_DECL_PROBDELTRANS((*probdeltrans)),  /**< frees user data of transformed problem */
   SCIP_DECL_PROBINITSOL ((*probinitsol)),   /**< solving process initialization method of transformed data */
   SCIP_DECL_PROBEXITSOL ((*probexitsol)),   /**< solving process deinitialization method of transformed data */
   SCIP_DECL_PROBCOPY    ((*probcopy)),      /**< copies user data if you want to copy it to a subscip, or NULL */
   SCIP_PROBDATA*        probdata,           /**< user problem data set by the reader */
   SCIP_Bool             transformed         /**< is this the transformed problem? */
   )
{
   assert(prob != NULL);

   SCIP_ALLOC( BMSallocMemory(prob) );
   SCIP_ALLOC( BMSduplicateMemoryArray(&(*prob)->name, name, strlen(name)+1) );

   (*prob)->probdata = probdata;
   (*prob)->probcopy = probcopy;
   (*prob)->probdelorig = probdelorig;
   (*prob)->probtrans = probtrans;
   (*prob)->probdeltrans = probdeltrans;
   (*prob)->probinitsol = probinitsol;
   (*prob)->probexitsol = probexitsol;
   if( set->misc_usevartable )
   {
      SCIP_CALL( SCIPhashtableCreate(&(*prob)->varnames, blkmem,
            (set->misc_usesmalltables ? SCIP_HASHSIZE_NAMES_SMALL : SCIP_HASHSIZE_NAMES),
            SCIPhashGetKeyVar, SCIPhashKeyEqString, SCIPhashKeyValString, NULL) );
   }
   else
      (*prob)->varnames = NULL;
   (*prob)->vars = NULL;
   (*prob)->varssize = 0;
   (*prob)->nvars = 0;
   (*prob)->nbinvars = 0;
   (*prob)->nintvars = 0;
   (*prob)->nimplvars = 0;
   (*prob)->ncontvars = 0;
   (*prob)->ncolvars = 0;
   (*prob)->fixedvars = NULL;
   (*prob)->fixedvarssize = 0;
   (*prob)->nfixedvars = 0;
   (*prob)->deletedvars = NULL;
   (*prob)->deletedvarssize = 0;
   (*prob)->ndeletedvars = 0;
   (*prob)->nobjvars = 0;
   if( set->misc_useconstable )
   {
      SCIP_CALL( SCIPhashtableCreate(&(*prob)->consnames, blkmem,
            (set->misc_usesmalltables ? SCIP_HASHSIZE_NAMES_SMALL : SCIP_HASHSIZE_NAMES),
            SCIPhashGetKeyCons, SCIPhashKeyEqString, SCIPhashKeyValString, NULL) );
   }
   else
      (*prob)->consnames = NULL;
   (*prob)->conss = NULL;
   (*prob)->consssize = 0;
   (*prob)->nconss = 0;
   (*prob)->maxnconss = 0;
   (*prob)->startnvars = 0;
   (*prob)->startnconss = 0;
   (*prob)->objsense = SCIP_OBJSENSE_MINIMIZE;
   (*prob)->objoffset = 0.0;
   (*prob)->objscale = 1.0;
   (*prob)->objlim = SCIP_INVALID;
   (*prob)->dualbound = SCIP_INVALID;
   (*prob)->objisintegral = FALSE;
   (*prob)->transformed = transformed;
   (*prob)->nlpenabled = FALSE;
   (*prob)->permuted = FALSE;
   (*prob)->conscompression = FALSE;

   return SCIP_OKAY;
}

/** sets callback to free user data of original problem */
void SCIPprobSetDelorig(
   SCIP_PROB*            prob,               /**< problem */
   SCIP_DECL_PROBDELORIG ((*probdelorig))    /**< frees user data of original problem */
   )
{
   assert(prob != NULL);

   prob->probdelorig = probdelorig;
}

/** sets callback to create user data of transformed problem by transforming original user data */
void SCIPprobSetTrans(
   SCIP_PROB*            prob,               /**< problem */
   SCIP_DECL_PROBTRANS   ((*probtrans))      /**< creates user data of transformed problem by transforming original user data */
   )
{
   assert(prob != NULL);

   prob->probtrans = probtrans;
}

/** sets callback to free user data of transformed problem */
void SCIPprobSetDeltrans(
   SCIP_PROB*            prob,               /**< problem */
   SCIP_DECL_PROBDELTRANS((*probdeltrans))   /**< frees user data of transformed problem */
   )
{
   assert(prob != NULL);

   prob->probdeltrans = probdeltrans;
}

/** sets solving process initialization callback of transformed data */
void SCIPprobSetInitsol(
   SCIP_PROB*            prob,               /**< problem */
   SCIP_DECL_PROBINITSOL ((*probinitsol))    /**< solving process initialization callback of transformed data */
   )
{
   assert(prob != NULL);

   prob->probinitsol= probinitsol;
}

/** sets solving process deinitialization callback of transformed data */
void SCIPprobSetExitsol(
   SCIP_PROB*            prob,               /**< problem */
   SCIP_DECL_PROBEXITSOL ((*probexitsol))    /**< solving process deinitialization callback of transformed data */
   )
{
   assert(prob != NULL);

   prob->probexitsol= probexitsol;
}

/** sets callback to copy user data to copy it to a subscip, or NULL */
void SCIPprobSetCopy(
   SCIP_PROB*            prob,               /**< problem */
   SCIP_DECL_PROBCOPY    ((*probcopy))       /**< copies user data if you want to copy it to a subscip, or NULL */
   )
{
   assert(prob != NULL);

   prob->probcopy= probcopy;
}

/** frees problem data structure */
SCIP_RETCODE SCIPprobFree(
   SCIP_PROB**           prob,               /**< pointer to problem data structure */
   SCIP_MESSAGEHDLR*     messagehdlr,        /**< message handler */
   BMS_BLKMEM*           blkmem,             /**< block memory buffer */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< dynamic problem statistics */
   SCIP_EVENTQUEUE*      eventqueue,         /**< event queue */
   SCIP_LP*              lp                  /**< current LP data (or NULL, if it's the original problem) */
   )
{
   int v;
#ifndef NDEBUG
   SCIP_Bool unreleasedvar = FALSE;
#endif

   assert(prob != NULL);
   assert(*prob != NULL);
   assert(set != NULL);

   /* remove all constraints from the problem */
   while( (*prob)->nconss > 0 )
   {
      /*@todo for debug mode it even might sense, to sort them downwards after their arraypos */
      assert((*prob)->conss != NULL);
      SCIP_CALL( SCIPprobDelCons(*prob, blkmem, set, stat, (*prob)->conss[(*prob)->nconss - 1]) );
   }

   if( (*prob)->transformed )
   {
      int h;

      /* unlock variables for all constraint handlers that don't need constraints */
      for( h = 0; h < set->nconshdlrs; ++h )
      {
         if( !SCIPconshdlrNeedsCons(set->conshdlrs[h]) )
         {
            SCIP_CALL( SCIPconshdlrUnlockVars(set->conshdlrs[h], set) );
         }
      }
   }

   /* free constraint array */
   BMSfreeMemoryArrayNull(&(*prob)->conss);

   /* free user problem data */
   if( (*prob)->transformed )
   {
      if( (*prob)->probdeltrans != NULL )
      {
         SCIP_CALL( (*prob)->probdeltrans(set->scip, &(*prob)->probdata) );
      }
   }
   else
   {
      if( (*prob)->probdelorig != NULL )
      {
         SCIP_CALL( (*prob)->probdelorig(set->scip, &(*prob)->probdata) );
      }
   }

   /* release problem variables */
   for( v = (*prob)->nvars - 1; v >= 0; --v )
   {
      assert(SCIPvarGetProbindex((*prob)->vars[v]) >= 0);

      if( SCIPvarGetNUses((*prob)->vars[v]) > 1 )
      {
         SCIPmessageFPrintWarning(messagehdlr, "%s variable <%s> not released when freeing SCIP.\n",
            (*prob)->transformed ? "Transformed" : "Original", SCIPvarGetName((*prob)->vars[v]));
#ifndef NDEBUG
         unreleasedvar = TRUE;
#endif
      }

      SCIP_CALL( SCIPvarRemove((*prob)->vars[v], blkmem, NULL, set, TRUE) );
      SCIP_CALL( SCIPvarRelease(&(*prob)->vars[v], blkmem, set, eventqueue, lp) );
   }
   BMSfreeMemoryArrayNull(&(*prob)->vars);

   /* release fixed problem variables */
   for( v = (*prob)->nfixedvars - 1; v >= 0; --v )
   {
      assert(SCIPvarGetProbindex((*prob)->fixedvars[v]) == -1);

      if( SCIPvarGetNUses((*prob)->fixedvars[v]) > 1 )
      {
         SCIPmessageFPrintWarning(messagehdlr, "%s variable <%s> not released when freeing SCIP.\n",
            (*prob)->transformed ? "Transformed" : "Original", SCIPvarGetName((*prob)->fixedvars[v]));
#ifndef NDEBUG
         unreleasedvar = TRUE;
#endif
      }

      SCIP_CALL( SCIPvarRelease(&(*prob)->fixedvars[v], blkmem, set, eventqueue, lp) );
   }
   BMSfreeMemoryArrayNull(&(*prob)->fixedvars);

   assert(! unreleasedvar);

   /* free deleted problem variables array */
   BMSfreeMemoryArrayNull(&(*prob)->deletedvars);

   /* free hash tables for names */
   if( (*prob)->varnames != NULL )
   {
      SCIPhashtableFree(&(*prob)->varnames);
   }
   if( (*prob)->consnames != NULL )
   {
      SCIPhashtableFree(&(*prob)->consnames);
   }
   BMSfreeMemoryArray(&(*prob)->name);
   BMSfreeMemory(prob);

   return SCIP_OKAY;
}

/** transform problem data into normalized form */
SCIP_RETCODE SCIPprobTransform(
   SCIP_PROB*            source,             /**< problem to transform */
   BMS_BLKMEM*           blkmem,             /**< block memory buffer */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< problem statistics */
   SCIP_PRIMAL*          primal,             /**< primal data */
   SCIP_TREE*            tree,               /**< branch and bound tree */
   SCIP_REOPT*           reopt,              /**< reoptimization data structure */
   SCIP_LP*              lp,                 /**< current LP data */
   SCIP_BRANCHCAND*      branchcand,         /**< branching candidate storage */
   SCIP_EVENTFILTER*     eventfilter,        /**< event filter for global (not variable dependent) events */
   SCIP_EVENTQUEUE*      eventqueue,         /**< event queue */
   SCIP_CONFLICTSTORE*   conflictstore,      /**< conflict store */
   SCIP_PROB**           target              /**< pointer to target problem data structure */
   )
{
   SCIP_VAR* targetvar;
   SCIP_CONS* targetcons;
   char transname[SCIP_MAXSTRLEN];
   int v;
   int c;
   int h;

   assert(set != NULL);
   assert(source != NULL);
   assert(blkmem != NULL);
   assert(target != NULL);

   SCIPsetDebugMsg(set, "transform problem: original has %d variables\n", source->nvars);

   /* create target problem data (probdelorig and probtrans are not needed, probdata is set later) */
   (void) SCIPsnprintf(transname, SCIP_MAXSTRLEN, "t_%s", source->name);
   SCIP_CALL( SCIPprobCreate(target, blkmem, set, transname, source->probdelorig, source->probtrans, source->probdeltrans, 
         source->probinitsol, source->probexitsol, source->probcopy, NULL, TRUE) );
   SCIPprobSetObjsense(*target, source->objsense);

   /* transform objective limit */
   if( source->objlim < SCIP_INVALID )
      SCIPprobSetObjlim(*target, source->objlim);

   /* transform dual bound */
   if( source->dualbound < SCIP_INVALID )
      SCIPprobSetDualbound(*target, source->dualbound);

   /* transform and copy all variables to target problem */
   SCIP_CALL( probEnsureVarsMem(*target, set, source->nvars) );
   for( v = 0; v < source->nvars; ++v )
   {
      SCIP_CALL( SCIPvarTransform(source->vars[v], blkmem, set, stat, source->objsense, &targetvar) );
      SCIP_CALL( SCIPprobAddVar(*target, blkmem, set, lp, branchcand, eventfilter, eventqueue, targetvar) );
      SCIP_CALL( SCIPvarRelease(&targetvar, blkmem, set, eventqueue, NULL) );
   }
   assert((*target)->nvars == source->nvars);
   assert((*target)->nobjvars == SCIPprobGetNObjVars(*target, set));

   /* call user data transformation */
   if( source->probtrans != NULL )
   {
      SCIP_CALL( source->probtrans(set->scip, source->probdata, &(*target)->probdata) );
   }
   else
      (*target)->probdata = source->probdata;

   /* transform and copy all constraints to target problem */
   for( c = 0; c < source->nconss; ++c )
   {
      SCIP_CALL( SCIPconsTransform(source->conss[c], blkmem, set, &targetcons) );
      SCIP_CALL( SCIPprobAddCons(*target, set, stat, targetcons) );
      SCIP_CALL( SCIPconsRelease(&targetcons, blkmem, set) );
   }

   /* lock variables for all constraint handlers that don't need constraints */
   for( h = 0; h < set->nconshdlrs; ++h )
   {
      if( !SCIPconshdlrNeedsCons(set->conshdlrs[h]) )
      {
         SCIP_CALL( SCIPconshdlrLockVars(set->conshdlrs[h], set) );
      }
   }

   /* objective value is always integral, iff original objective value is always integral and shift is integral */
   (*target)->objisintegral = source->objisintegral && SCIPsetIsIntegral(set, (*target)->objoffset);

   /* check, whether objective value is always integral by inspecting the problem, if it is the case adjust the
    * cutoff bound if primal solution is already known 
    */
   SCIP_CALL( SCIPprobCheckObjIntegral(*target, source, blkmem, set, stat, primal, tree, reopt, lp, eventfilter, eventqueue) );

   /* copy the nlpenabled flag */
   (*target)->nlpenabled = source->nlpenabled;

   /* mark the transformed problem to be permuted iff the source problem is permuted */
   (*target)->permuted = source->permuted;

   /* transform the conflict pool */
   SCIP_CALL( SCIPconflictstoreTransform(conflictstore, blkmem, set, stat, tree, *target, reopt) );

   return SCIP_OKAY;
}

/** resets the global and local bounds of original variables in original problem to their original values */
SCIP_RETCODE SCIPprobResetBounds(
   SCIP_PROB*            prob,               /**< original problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat                /**< problem statistics */
   )
{
   int v;

   assert(prob != NULL);
   assert(prob->nfixedvars == 0);

   for( v = 0; v < prob->nvars; ++v )
   {
      SCIP_CALL( SCIPvarResetBounds(prob->vars[v], blkmem, set, stat) );
   }

   return SCIP_OKAY;
}

/** (Re)Sort the variables, which appear in the four categories (binary, integer, implicit, continuous) after presolve
 *  with respect to their original index (within their categories). Adjust the problem index afterwards which is
 *  supposed to reflect the position in the variable array. This additional (re)sorting is supposed to get more robust
 *  against the order presolving fixed variables. (We also reobtain a possible block structure induced by the user
 *  model)
 */
void SCIPprobResortVars(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   SCIP_VAR** vars;
   int nbinvars;
   int nintvars;
   int nimplvars;
   int ncontvars;
   int nvars;
   int v;

   vars = prob->vars;
   nvars = prob->nvars;
   nbinvars = prob->nbinvars;
   nintvars = prob->nintvars;
   nimplvars = prob->nimplvars;
   ncontvars = prob->ncontvars;

   if( nvars == 0 )
      return;

   assert(vars != NULL);
   assert(nbinvars + nintvars + nimplvars + ncontvars == nvars);

   SCIPdebugMessage("entering sorting with respect to original block structure! \n");

   /* sort binaries */
   if( nbinvars > 0 )
      SCIPsortPtr((void**)vars, SCIPvarComp, nbinvars);

   /* sort integers */
   if( nintvars > 0 )
      SCIPsortPtr((void**)&vars[nbinvars], SCIPvarComp, nintvars);

   /* sort implicit variables */
   if( nimplvars > 0 )
      SCIPsortPtr((void**)&vars[nbinvars + nintvars], SCIPvarComp, nimplvars);

   /* sort continuous variables*/
   if( ncontvars > 0 )
      SCIPsortPtr((void**)&vars[nbinvars + nintvars + nimplvars], SCIPvarComp, ncontvars);

   /* after sorting, the problem index of each variable has to be adjusted */
   for( v = 0; v < nvars; ++v )
   {
      vars[v]->probindex = v;
      SCIPdebugMessage("Variable: Problem index <%d>, original index <%d> \n", vars[v]->probindex, vars[v]->index);
   }
}



/*
 * problem modification
 */

/** sets user problem data */
void SCIPprobSetData(
   SCIP_PROB*            prob,               /**< problem */
   SCIP_PROBDATA*        probdata            /**< user problem data to use */
   )
{
   assert(prob != NULL);

   prob->probdata = probdata;
}

/** inserts variable at the correct position in vars array, depending on its type */
static
void probInsertVar(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_VAR*             var                 /**< variable to insert */
   )
{
   int insertpos;
   int intstart;
   int implstart;
   int contstart;

   assert(prob != NULL);
   assert(prob->vars != NULL);
   assert(prob->nvars < prob->varssize);
   assert(var != NULL);
   assert(SCIPvarGetProbindex(var) == -1);
   assert(SCIPvarGetStatus(var) == SCIP_VARSTATUS_ORIGINAL
      || SCIPvarGetStatus(var) == SCIP_VARSTATUS_LOOSE
      || SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN);
   /* original variables cannot go into transformed problem and transformed variables cannot go into original problem */
   assert((SCIPvarGetStatus(var) != SCIP_VARSTATUS_ORIGINAL) == prob->transformed);

   /* insert variable in array */
   insertpos = prob->nvars;
   intstart = prob->nbinvars;
   implstart = intstart + prob->nintvars;
   contstart = implstart + prob->nimplvars;

   if( SCIPvarGetType(var) == SCIP_VARTYPE_CONTINUOUS )
      prob->ncontvars++;
   else
   {
      if( insertpos > contstart )
      {
         prob->vars[insertpos] = prob->vars[contstart];
         SCIPvarSetProbindex(prob->vars[insertpos], insertpos);
         insertpos = contstart;
      }
      assert(insertpos == contstart);

      if( SCIPvarGetType(var) == SCIP_VARTYPE_IMPLINT )
         prob->nimplvars++;
      else
      {
         if( insertpos > implstart )
         {
            prob->vars[insertpos] = prob->vars[implstart];
            SCIPvarSetProbindex(prob->vars[insertpos], insertpos);
            insertpos = implstart;
         }
         assert(insertpos == implstart);

         if( SCIPvarGetType(var) == SCIP_VARTYPE_INTEGER )
            prob->nintvars++;
         else
         {
            assert(SCIPvarGetType(var) == SCIP_VARTYPE_BINARY);
            if( insertpos > intstart )
            {
               prob->vars[insertpos] = prob->vars[intstart];
               SCIPvarSetProbindex(prob->vars[insertpos], insertpos);
               insertpos = intstart;
            }
            assert(insertpos == intstart);

            prob->nbinvars++;
         }
      }
   }
   prob->nvars++;

   assert(prob->nvars == prob->nbinvars + prob->nintvars + prob->nimplvars + prob->ncontvars);
   assert((SCIPvarGetType(var) == SCIP_VARTYPE_BINARY && insertpos == prob->nbinvars - 1)
      || (SCIPvarGetType(var) == SCIP_VARTYPE_INTEGER && insertpos == prob->nbinvars + prob->nintvars - 1)
      || (SCIPvarGetType(var) == SCIP_VARTYPE_IMPLINT && insertpos == prob->nbinvars + prob->nintvars + prob->nimplvars - 1)
      || (SCIPvarGetType(var) == SCIP_VARTYPE_CONTINUOUS
         && insertpos == prob->nbinvars + prob->nintvars + prob->nimplvars + prob->ncontvars - 1));

   prob->vars[insertpos] = var;
   SCIPvarSetProbindex(var, insertpos);

   /* update number of column variables in problem */
   if( SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN )
      prob->ncolvars++;
   assert(0 <= prob->ncolvars && prob->ncolvars <= prob->nvars);
}

/** removes variable from vars array */
static
SCIP_RETCODE probRemoveVar(
   SCIP_PROB*            prob,               /**< problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_CLIQUETABLE*     cliquetable,        /**< clique table data structure */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_VAR*             var                 /**< variable to remove */
   )
{
   int freepos;
   int intstart;
   int implstart;
   int contstart;

   assert(prob != NULL);
   assert(var != NULL);
   assert(SCIPvarGetProbindex(var) >= 0);
   assert(prob->vars != NULL);
   assert(prob->vars[SCIPvarGetProbindex(var)] == var);

   intstart = prob->nbinvars;
   implstart = intstart + prob->nintvars;
   contstart = implstart + prob->nimplvars;

   switch( SCIPvarGetType(var) )
   {
   case SCIP_VARTYPE_BINARY:
      assert(0 <= SCIPvarGetProbindex(var) && SCIPvarGetProbindex(var) < intstart);
      prob->nbinvars--;
      break;
   case SCIP_VARTYPE_INTEGER:
      assert(intstart <= SCIPvarGetProbindex(var) && SCIPvarGetProbindex(var) < implstart);
      prob->nintvars--;
      break;
   case SCIP_VARTYPE_IMPLINT:
      assert(implstart <= SCIPvarGetProbindex(var) && SCIPvarGetProbindex(var) < contstart);
      prob->nimplvars--;
      break;
   case SCIP_VARTYPE_CONTINUOUS:
      assert(contstart <= SCIPvarGetProbindex(var) && SCIPvarGetProbindex(var) < prob->nvars);
      prob->ncontvars--;
      break;
   default:
      SCIPerrorMessage("unknown variable type\n");
      SCIPABORT();
      return SCIP_INVALIDDATA;  /*lint !e527*/
   }

   /* move last binary, last integer, last implicit, and last continuous variable forward to fill the free slot */
   freepos = SCIPvarGetProbindex(var);
   if( freepos < intstart-1 )
   {
      /* move last binary variable to free slot */
      prob->vars[freepos] = prob->vars[intstart-1];
      SCIPvarSetProbindex(prob->vars[freepos], freepos);
      freepos = intstart-1;
   }
   if( freepos < implstart-1 )
   {
      /* move last integer variable to free slot */
      prob->vars[freepos] = prob->vars[implstart-1];
      SCIPvarSetProbindex(prob->vars[freepos], freepos);
      freepos = implstart-1;
   }
   if( freepos < contstart-1 )
   {
      /* move last implicit integer variable to free slot */
      prob->vars[freepos] = prob->vars[contstart-1];
      SCIPvarSetProbindex(prob->vars[freepos], freepos);
      freepos = contstart-1;
   }
   if( freepos < prob->nvars-1 )
   {
      /* move last implicit integer variable to free slot */
      prob->vars[freepos] = prob->vars[prob->nvars-1];
      SCIPvarSetProbindex(prob->vars[freepos], freepos);
      freepos = prob->nvars-1;
   }
   assert(freepos == prob->nvars-1);

   prob->nvars--;
   assert(prob->nvars == prob->nbinvars + prob->nintvars + prob->nimplvars + prob->ncontvars);

   /* update number of column variables in problem */
   if( SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN )
      prob->ncolvars--;
   assert(0 <= prob->ncolvars && prob->ncolvars <= prob->nvars);

   /* inform the variable that it is no longer in the problem; if necessary, delete it from the implication graph */
   SCIP_CALL( SCIPvarRemove(var, blkmem, cliquetable, set, FALSE) );

   return SCIP_OKAY;
}

/** adds variable's name to the namespace */
SCIP_RETCODE SCIPprobAddVarName(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_VAR*             var                 /**< variable */
   )
{
   assert(SCIPvarGetProbindex(var) != -1);

   if( varHasName(var) && prob->varnames != NULL )
   {
      SCIP_CALL( SCIPhashtableInsert(prob->varnames, (void*)var) );
   }

   return SCIP_OKAY;
}

/** removes variable's name from the namespace */
SCIP_RETCODE SCIPprobRemoveVarName(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_VAR*             var                 /**< variable */
   )
{
   if( varHasName(var) && prob->varnames != NULL )
   {
      assert(SCIPhashtableExists(prob->varnames, (void*)var));
      SCIP_CALL( SCIPhashtableRemove(prob->varnames, (void*)var) );
   }

   return SCIP_OKAY;
}

/** adds variable to the problem and captures it */
SCIP_RETCODE SCIPprobAddVar(
   SCIP_PROB*            prob,               /**< problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory buffers */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_LP*              lp,                 /**< current LP data */
   SCIP_BRANCHCAND*      branchcand,         /**< branching candidate storage */
   SCIP_EVENTFILTER*     eventfilter,        /**< event filter for global (not variable dependent) events */
   SCIP_EVENTQUEUE*      eventqueue,         /**< event queue */
   SCIP_VAR*             var                 /**< variable to add */
   )
{
   assert(prob != NULL);
   assert(set != NULL);
   assert(var != NULL);
   assert(SCIPvarGetProbindex(var) == -1);
   assert(SCIPvarGetStatus(var) == SCIP_VARSTATUS_ORIGINAL
      || SCIPvarGetStatus(var) == SCIP_VARSTATUS_LOOSE
      || SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN);
   /* original variables cannot go into transformed problem and transformed variables cannot go into original problem */
   assert((SCIPvarGetStatus(var) != SCIP_VARSTATUS_ORIGINAL) == prob->transformed);

#ifndef NDEBUG
   /* check if we add this variables to the same scip, where we created it */
   if( var->scip != set->scip )
   {
      SCIPerrorMessage("variable belongs to a different scip instance\n");
      return SCIP_INVALIDDATA;
   }
#endif

   /* capture variable */
   SCIPvarCapture(var);

   /* allocate additional memory */
   SCIP_CALL( probEnsureVarsMem(prob, set, prob->nvars+1) );

   /* insert variable in vars array and mark it to be in problem */
   probInsertVar(prob, var);

   /* add variable's name to the namespace */
   SCIP_CALL( SCIPprobAddVarName(prob, var) );

   /* update branching candidates and pseudo and loose objective value in the LP */
   if( SCIPvarGetStatus(var) != SCIP_VARSTATUS_ORIGINAL )
   {
      SCIP_CALL( SCIPbranchcandUpdateVar(branchcand, set, var) );
      SCIP_CALL( SCIPlpUpdateAddVar(lp, set, var) );
   }

   SCIPsetDebugMsg(set, "added variable <%s> to problem (%d variables: %d binary, %d integer, %d implicit, %d continuous)\n",
      SCIPvarGetName(var), prob->nvars, prob->nbinvars, prob->nintvars, prob->nimplvars, prob->ncontvars);

   if( prob->transformed )
   {
      SCIP_EVENT* event;

      /* issue VARADDED event */
      SCIP_CALL( SCIPeventCreateVarAdded(&event, blkmem, var) );
      SCIP_CALL( SCIPeventqueueAdd(eventqueue, blkmem, set, NULL, NULL, NULL, eventfilter, &event) );

      /* update the number of variables with non-zero objective coefficient */
      SCIPprobUpdateNObjVars(prob, set, 0.0, SCIPvarGetObj(var));

      /* SCIP assumes that the status of objisintegral does not change after transformation. Thus, the objective of all
       * new variables beyond that stage has to be compatible. */
      assert( SCIPsetGetStage(set) == SCIP_STAGE_TRANSFORMING || ! prob->objisintegral || SCIPsetIsZero(set, SCIPvarGetObj(var)) ||
         ( SCIPvarIsIntegral(var) && SCIPsetIsIntegral(set, SCIPvarGetObj(var)) ) );
   }

   return SCIP_OKAY;
}

/** marks variable to be removed from the problem; however, the variable is NOT removed from the constraints */
SCIP_RETCODE SCIPprobDelVar(
   SCIP_PROB*            prob,               /**< problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_EVENTQUEUE*      eventqueue,         /**< event queue */
   SCIP_VAR*             var,                /**< problem variable */
   SCIP_Bool*            deleted             /**< pointer to store whether marking variable to be deleted was successful */
   )
{
   assert(prob != NULL);
   assert(set != NULL);
   assert(var != NULL);
   assert(deleted != NULL);
   assert(SCIPvarGetProbindex(var) != -1);
   assert(SCIPvarGetStatus(var) == SCIP_VARSTATUS_ORIGINAL
      || SCIPvarGetStatus(var) == SCIP_VARSTATUS_LOOSE
      || SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN);

   *deleted = FALSE;

   /* don't remove variables that are not in the problem */
   /**@todo what about negated variables? should the negation variable be removed instead? */
   if( SCIPvarGetProbindex(var) == -1 )
      return SCIP_OKAY;

   /* don't remove the direct counterpart of an original variable from the transformed problem, because otherwise
    * operations on the original variables would be applied to a NULL pointer
    */
   if( SCIPvarIsTransformedOrigvar(var) )
      return SCIP_OKAY;

   assert(SCIPvarGetNegatedVar(var) == NULL);

   SCIPsetDebugMsg(set, "deleting variable <%s> from problem (%d variables: %d binary, %d integer, %d implicit, %d continuous)\n",
      SCIPvarGetName(var), prob->nvars, prob->nbinvars, prob->nintvars, prob->nimplvars, prob->ncontvars);

   /* mark variable to be deleted from the problem */
   SCIPvarMarkDeleted(var);

   if( prob->transformed )
   {
      SCIP_EVENT* event;

      assert(eventqueue != NULL);

      /* issue VARDELETED event */
      SCIP_CALL( SCIPeventCreateVarDeleted(&event, blkmem, var) );
      SCIP_CALL( SCIPeventqueueAdd(eventqueue, blkmem, set, NULL, NULL, NULL, NULL, &event) );
   }

   /* remember that the variable should be deleted from the problem in SCIPprobPerformVarDeletions() */
   SCIP_CALL( probEnsureDeletedvarsMem(prob, set, prob->ndeletedvars+1) );
   prob->deletedvars[prob->ndeletedvars] = var;
   prob->ndeletedvars++;

   *deleted = TRUE;

   return SCIP_OKAY;
}

/** actually removes the deleted variables from the problem and releases them */
SCIP_RETCODE SCIPprobPerformVarDeletions(
   SCIP_PROB*            prob,               /**< problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< dynamic problem statistics */
   SCIP_EVENTQUEUE*      eventqueue,         /**< event queue */
   SCIP_CLIQUETABLE*     cliquetable,        /**< clique table data structure */
   SCIP_LP*              lp,                 /**< current LP data (may be NULL) */
   SCIP_BRANCHCAND*      branchcand          /**< branching candidate storage */
   )
{
   int i;

   assert(prob != NULL);
   assert(set != NULL);

   /* delete variables from the constraints;
    * do this only in solving stage, in presolving, it is already handled by the constraint handlers
    */
   if( SCIPsetGetStage(set) == SCIP_STAGE_SOLVING )
   {
      for( i = 0; i < set->nconshdlrs; ++i )
      {
         SCIP_CALL( SCIPconshdlrDelVars(set->conshdlrs[i], blkmem, set, stat) );
      }
   }

   for( i = 0; i < prob->ndeletedvars; ++i )
   {
      SCIP_VAR* var;

      var = prob->deletedvars[i];

      /* don't delete the variable, if it was fixed or aggregated in the meantime */
      if( SCIPvarGetProbindex(var) >= 0 )
      {
         SCIPsetDebugMsg(set, "perform deletion of <%s> [%p]\n", SCIPvarGetName(var), (void*)var);

         /* convert column variable back into loose variable, free LP column */
         if( SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN )
         {
            SCIP_CALL( SCIPvarLoose(var, blkmem, set, eventqueue, prob, lp) );
         }

         /* update branching candidates and pseudo and loose objective value in the LP */
         if( SCIPvarGetStatus(var) != SCIP_VARSTATUS_ORIGINAL )
         {
            SCIP_CALL( SCIPlpUpdateDelVar(lp, set, var) );
            SCIP_CALL( SCIPbranchcandRemoveVar(branchcand, var) );
         }

         /* remove variable's name from the namespace */
         SCIP_CALL( SCIPprobRemoveVarName(prob, var) );

         /* remove variable from vars array and mark it to be not in problem */
         SCIP_CALL( probRemoveVar(prob, blkmem, cliquetable, set, var) );

         /* update the number of variables with non-zero objective coefficient */
         if( prob->transformed )
            SCIPprobUpdateNObjVars(prob, set, SCIPvarGetObj(var), 0.0);

         /* release variable */
         SCIP_CALL( SCIPvarRelease(&prob->deletedvars[i], blkmem, set, eventqueue, lp) );
      }
   }
   prob->ndeletedvars = 0;

   return SCIP_OKAY;
}

/** changes the type of a variable in the problem */
SCIP_RETCODE SCIPprobChgVarType(
   SCIP_PROB*            prob,               /**< problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_PRIMAL*          primal,             /**< primal data */
   SCIP_LP*              lp,                 /**< current LP data */
   SCIP_BRANCHCAND*      branchcand,         /**< branching candidate storage */
   SCIP_EVENTQUEUE*      eventqueue,         /**< event queue */
   SCIP_CLIQUETABLE*     cliquetable,        /**< clique table data structure */
   SCIP_VAR*             var,                /**< variable to add */
   SCIP_VARTYPE          vartype             /**< new type of variable */
   )
{
   assert(prob != NULL);
   assert(var != NULL);
   assert(SCIPvarGetProbindex(var) >= 0);
   assert(SCIPvarGetStatus(var) == SCIP_VARSTATUS_ORIGINAL
      || SCIPvarGetStatus(var) == SCIP_VARSTATUS_LOOSE
      || SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN);
   assert(branchcand != NULL || SCIPvarGetStatus(var) == SCIP_VARSTATUS_ORIGINAL);

   if( SCIPvarGetType(var) == vartype )
      return SCIP_OKAY;

   /* temporarily remove variable from branching candidates */
   if( branchcand != NULL )
   {
      SCIP_CALL( SCIPbranchcandRemoveVar(branchcand, var) );
   }

   /* temporarily remove variable from problem */
   SCIP_CALL( probRemoveVar(prob, blkmem, cliquetable, set, var) );

   /* change the type of the variable */
   SCIP_CALL( SCIPvarChgType(var, blkmem, set, primal, lp, eventqueue, vartype) );

   /* reinsert variable into problem */
   probInsertVar(prob, var);

   /* update branching candidates */
   if( branchcand != NULL )
   {
      SCIP_CALL( SCIPbranchcandUpdateVar(branchcand, set, var) );
   }

   return SCIP_OKAY;
}

/** informs problem, that the given loose problem variable changed its status */
SCIP_RETCODE SCIPprobVarChangedStatus(
   SCIP_PROB*            prob,               /**< problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_BRANCHCAND*      branchcand,         /**< branching candidate storage */
   SCIP_CLIQUETABLE*     cliquetable,        /**< clique table data structure */
   SCIP_VAR*             var                 /**< problem variable */
   )
{
   assert(prob != NULL);
   assert(var != NULL);
   assert(SCIPvarGetProbindex(var) != -1);

   /* get current status of variable */
   switch( SCIPvarGetStatus(var) )
   {
   case SCIP_VARSTATUS_ORIGINAL:
      SCIPerrorMessage("variables cannot switch to ORIGINAL status\n");
      return SCIP_INVALIDDATA;

   case SCIP_VARSTATUS_LOOSE:
      /* variable switched from column to loose */
      prob->ncolvars--;
      break;

   case SCIP_VARSTATUS_COLUMN:
      /* variable switched from non-column to column */
      prob->ncolvars++;
      break;

   case SCIP_VARSTATUS_FIXED:
   case SCIP_VARSTATUS_AGGREGATED:
   case SCIP_VARSTATUS_MULTAGGR:
   case SCIP_VARSTATUS_NEGATED:
      /* variable switched from unfixed to fixed (if it was fixed before, probindex would have been -1) */

      /* remove variable from problem */
      SCIP_CALL( probRemoveVar(prob, blkmem, cliquetable, set, var) );

      /* insert variable in fixedvars array */
      SCIP_CALL( probEnsureFixedvarsMem(prob, set, prob->nfixedvars+1) );
      prob->fixedvars[prob->nfixedvars] = var;
      prob->nfixedvars++;

      /* update branching candidates */
      SCIP_CALL( SCIPbranchcandUpdateVar(branchcand, set, var) );
      break;

   default:
      SCIPerrorMessage("invalid variable status <%d>\n", SCIPvarGetStatus(var));
      return SCIP_INVALIDDATA;
   }
   assert(0 <= prob->ncolvars && prob->ncolvars <= prob->nvars);

   return SCIP_OKAY;
}

/** adds constraint's name to the namespace */
SCIP_RETCODE SCIPprobAddConsName(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_CONS*            cons                /**< constraint */
   )
{
   /* add constraint's name to the namespace */
   if( consHasName(cons) && prob->consnames != NULL )
   {
      SCIP_CALL( SCIPhashtableInsert(prob->consnames, (void*)cons) );
   }

   return SCIP_OKAY;
}

/** remove constraint's name from the namespace */
SCIP_RETCODE SCIPprobRemoveConsName(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_CONS*            cons                /**< constraint */
   )
{
   /* remove constraint's name from the namespace */
   if( consHasName(cons) && prob->consnames != NULL )
   {
      SCIP_CONS* currentcons;
      currentcons = (SCIP_CONS*)SCIPhashtableRetrieve(prob->consnames, (void*)(cons->name));
      if( currentcons == cons )
      {
         SCIP_CALL( SCIPhashtableRemove(prob->consnames, (void*)cons) );
      }
   }

   return SCIP_OKAY;
}

/** adds constraint to the problem and captures it;
 *  a local constraint is automatically upgraded into a global constraint
 */
SCIP_RETCODE SCIPprobAddCons(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< dynamic problem statistics */
   SCIP_CONS*            cons                /**< constraint to add */
   )
{
   assert(prob != NULL);
   assert(cons != NULL);
   assert(cons->addconssetchg == NULL);
   assert(cons->addarraypos == -1);

#ifndef NDEBUG
   /* check if we add this constraint to the same scip, where we create the constraint */
   if( cons->scip != set->scip )
   {
      SCIPerrorMessage("constraint belongs to different scip instance\n");
      return SCIP_INVALIDDATA;
   }
#endif
   SCIPsetDebugMsg(set, "adding constraint <%s> to global problem -> %d constraints\n",
      SCIPconsGetName(cons), prob->nconss+1);

   /* mark the constraint as problem constraint, and remember the constraint's position */
   cons->addconssetchg = NULL;
   cons->addarraypos = prob->nconss;

   /* add the constraint to the problem's constraint array */
   SCIP_CALL( probEnsureConssMem(prob, set, prob->nconss+1) );
   prob->conss[prob->nconss] = cons;
   prob->nconss++;
   prob->maxnconss = MAX(prob->maxnconss, prob->nconss);
   stat->nactiveconssadded++;

   /* undelete constraint, if it was globally deleted in the past */
   cons->deleted = FALSE;

   /* mark constraint to be globally valid */
   SCIPconsSetLocal(cons, FALSE);

   /* capture constraint */
   SCIPconsCapture(cons);

   /* add constraint's name to the namespace */
   SCIP_CALL( SCIPprobAddConsName(prob, cons) );

   /* if the problem is the transformed problem, activate and lock constraint */
   if( prob->transformed )
   {
      /* activate constraint */
      if( !SCIPconsIsActive(cons) )
      {
         SCIP_CALL( SCIPconsActivate(cons, set, stat, -1, (stat->nnodes <= 1)) );
      }

      /* if constraint is a check-constraint, lock roundings of constraint's variables */
      if( SCIPconsIsChecked(cons) )
      {
         SCIP_CALL( SCIPconsAddLocks(cons, set, SCIP_LOCKTYPE_MODEL, +1, 0) );
      }
   }

   return SCIP_OKAY;
}

/** releases and removes constraint from the problem; if the user has not captured the constraint for his own use, the
 *  constraint may be invalid after the call
 */
SCIP_RETCODE SCIPprobDelCons(
   SCIP_PROB*            prob,               /**< problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< dynamic problem statistics */
   SCIP_CONS*            cons                /**< constraint to remove */
   )
{
   int arraypos;

   assert(prob != NULL);
   assert(blkmem != NULL);
   assert(cons != NULL);
   assert(cons->addconssetchg == NULL);
   assert(0 <= cons->addarraypos && cons->addarraypos < prob->nconss);
   assert(prob->conss != NULL);
   assert(prob->conss[cons->addarraypos] == cons);

   /* if the problem is the transformed problem, deactivate and unlock constraint */
   if( prob->transformed )
   {
      /* if constraint is a check-constraint, unlock roundings of constraint's variables */
      if( SCIPconsIsChecked(cons) )
      {
         SCIP_CALL( SCIPconsAddLocks(cons, set, SCIP_LOCKTYPE_MODEL, -1, 0) );
      }

      /* deactivate constraint, if it is currently active */
      if( cons->active && !cons->updatedeactivate )
      {
         SCIP_CALL( SCIPconsDeactivate(cons, set, stat) );
      }
   }
   assert(!cons->active || cons->updatedeactivate);
   assert(!cons->enabled || cons->updatedeactivate);

   /* remove constraint's name from the namespace */
   SCIP_CALL( SCIPprobRemoveConsName(prob, cons) );

   /* remove the constraint from the problem's constraint array */
   arraypos = cons->addarraypos;
   prob->conss[arraypos] = prob->conss[prob->nconss-1];
   assert(prob->conss[arraypos] != NULL);
   assert(prob->conss[arraypos]->addconssetchg == NULL);
   prob->conss[arraypos]->addarraypos = arraypos;
   prob->nconss--;

   /* mark the constraint to be no longer in the problem */
   cons->addarraypos = -1;

   /* release constraint */
   SCIP_CALL( SCIPconsRelease(&cons, blkmem, set) );

   return SCIP_OKAY;
}

/** remembers the current number of constraints in the problem's internal data structure
 *  - resets maximum number of constraints to current number of constraints
 *  - remembers current number of constraints as starting number of constraints
 */
void SCIPprobMarkNConss(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);

   /* remember number of constraints for statistic */
   prob->maxnconss = prob->nconss;
   prob->startnvars = prob->nvars;
   prob->startnconss = prob->nconss;
}

/** sets objective sense: minimization or maximization */
void SCIPprobSetObjsense(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_OBJSENSE         objsense            /**< new objective sense */
   )
{
   assert(prob != NULL);
   assert(prob->objsense == SCIP_OBJSENSE_MAXIMIZE || prob->objsense == SCIP_OBJSENSE_MINIMIZE);
   assert(objsense == SCIP_OBJSENSE_MAXIMIZE || objsense == SCIP_OBJSENSE_MINIMIZE);

   prob->objsense = objsense;
}

/** adds value to objective offset */
void SCIPprobAddObjoffset(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_Real             addval              /**< value to add to objective offset */
   )
{
   assert(prob != NULL);
   assert(prob->transformed);

   SCIPdebugMessage("adding %g to objective offset %g: new offset = %g\n", addval, prob->objoffset, prob->objoffset + addval);
   prob->objoffset += addval;
}

/** sets the dual bound on objective function */
void SCIPprobSetDualbound(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_Real             dualbound           /**< external dual bound */
   )
{
   assert(prob != NULL);

   prob->dualbound = dualbound;
}

/** sets limit on objective function, such that only solutions better than this limit are accepted */
void SCIPprobSetObjlim(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_Real             objlim              /**< external objective limit */
   )
{
   assert(prob != NULL);

   prob->objlim = objlim;
}

/** informs the problem, that its objective value is always integral in every feasible solution */
void SCIPprobSetObjIntegral(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);

   prob->objisintegral = TRUE;
}

/** sets integral objective value flag, if all variables with non-zero objective values are integral and have 
 *  integral objective value and also updates the cutoff bound if primal solution is already known
 */
SCIP_RETCODE SCIPprobCheckObjIntegral(
   SCIP_PROB*            transprob,          /**< tranformed problem data */
   SCIP_PROB*            origprob,           /**< original problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< problem statistics data */
   SCIP_PRIMAL*          primal,             /**< primal data */
   SCIP_TREE*            tree,               /**< branch and bound tree */
   SCIP_REOPT*           reopt,              /**< reoptimization data structure */
   SCIP_LP*              lp,                 /**< current LP data */
   SCIP_EVENTFILTER*     eventfilter,        /**< event filter for global (not variable dependent) events */
   SCIP_EVENTQUEUE*      eventqueue          /**< event queue */
   )
{
   SCIP_Real obj;
   int v;

   assert(transprob != NULL);
   assert(origprob != NULL);

   /* if we know already, that the objective value is integral, nothing has to be done */
   if( transprob->objisintegral )
      return SCIP_OKAY;

   /* if there exist unknown variables, we cannot conclude that the objective value is always integral */
   if( set->nactivepricers != 0 || set->nactivebenders != 0 )
      return SCIP_OKAY;

   /* if the objective value offset is fractional, the value itself is possibly fractional */
   if( !SCIPsetIsIntegral(set, transprob->objoffset) )
      return SCIP_OKAY;

   /* scan through the variables */
   for( v = 0; v < transprob->nvars; ++v )
   {
      /* get objective value of variable */
      obj = SCIPvarGetObj(transprob->vars[v]);

      /* check, if objective value is non-zero */
      if( !SCIPsetIsZero(set, obj) )
      {
         /* if variable's objective value is fractional, the problem's objective value may also be fractional */
         if( !SCIPsetIsIntegral(set, obj) )
            break;

         /* if variable with non-zero objective value is continuous, the problem's objective value may be fractional */
         if( SCIPvarGetType(transprob->vars[v]) == SCIP_VARTYPE_CONTINUOUS )
            break;
      }
   }

   /* objective value is integral, if the variable loop scanned all variables */
   if( v == transprob->nvars )
   {
      transprob->objisintegral = TRUE;

      /* update upper bound and cutoff bound in primal data structure due to new internality information */
      SCIP_CALL( SCIPprimalUpdateObjoffset(primal, blkmem, set, stat, eventfilter, eventqueue, transprob, origprob, tree, reopt, lp) );
   }

   return SCIP_OKAY;
}

/** update the number of variables with non-zero objective coefficient */
void SCIPprobUpdateNObjVars(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_Real             oldobj,             /**< old objective value for variable */
   SCIP_Real             newobj              /**< new objective value for variable */
   )
{
   assert(prob->transformed);

   if( !SCIPsetIsZero(set, oldobj) )
      prob->nobjvars--;

   if( !SCIPsetIsZero(set, newobj) )
      prob->nobjvars++;
}

/** update the dual bound if its better as the current one */
void SCIPprobUpdateDualbound(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_Real             newbound            /**< new dual bound for the node (if it's tighter than the old one) */
   )
{
   if( prob->dualbound == SCIP_INVALID ) /*lint !e777*/
      SCIPprobSetDualbound(prob, newbound);
   else
   {
      switch( prob->objsense )
      {
      case SCIP_OBJSENSE_MINIMIZE:
         prob->dualbound = MAX(newbound, prob->dualbound);
         break;

      case SCIP_OBJSENSE_MAXIMIZE:
         prob->dualbound = MIN(newbound, prob->dualbound);
         break;

      default:
         SCIPerrorMessage("invalid objective sense <%d>\n", prob->objsense);
         SCIPABORT();
      }
   }
}

/** invalidates the dual bound */
void SCIPprobInvalidateDualbound(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);

   prob->dualbound = SCIP_INVALID;
}

/** if possible, scales objective function such that it is integral with gcd = 1 */
SCIP_RETCODE SCIPprobScaleObj(
   SCIP_PROB*            transprob,          /**< tranformed problem data */
   SCIP_PROB*            origprob,           /**< original problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< problem statistics data */
   SCIP_PRIMAL*          primal,             /**< primal data */
   SCIP_TREE*            tree,               /**< branch and bound tree */
   SCIP_REOPT*           reopt,              /**< reoptimization data structure */
   SCIP_LP*              lp,                 /**< current LP data */
   SCIP_EVENTFILTER*     eventfilter,        /**< event filter for global (not variable dependent) events */
   SCIP_EVENTQUEUE*      eventqueue          /**< event queue */
   )
{
   int v;
   int nints;

   assert(transprob != NULL);
   assert(set != NULL);

   /* do not change objective if there are pricers involved */
   if( set->nactivepricers != 0 || set->nactivebenders != 0 || !set->misc_scaleobj )
      return SCIP_OKAY;

   nints = transprob->nvars - transprob->ncontvars;

   /* scan through the continuous variables */
   for( v = nints; v < transprob->nvars; ++v )
   {
      SCIP_Real obj;

      /* get objective value of variable; it it is non-zero, no scaling can be applied */
      obj = SCIPvarGetObj(transprob->vars[v]);
      if( !SCIPsetIsZero(set, obj) )
         break;
   }

   /* only continue if all continuous variables have obj = 0 */
   if( v == transprob->nvars )
   {
      SCIP_Real* objvals;
      SCIP_Real intscalar;
      SCIP_Bool success;

      /* get temporary memory */
      SCIP_CALL( SCIPsetAllocBufferArray(set, &objvals, nints) );

      /* get objective values of integer variables */
      for( v = 0; v < nints; ++v )
         objvals[v] = SCIPvarGetObj(transprob->vars[v]);

      /* calculate integral scalar */
      SCIP_CALL( SCIPcalcIntegralScalar(objvals, nints, -SCIPsetEpsilon(set), +SCIPsetEpsilon(set), OBJSCALE_MAXDNOM, OBJSCALE_MAXSCALE,
         &intscalar, &success) );

      SCIPsetDebugMsg(set, "integral objective scalar: success=%u, intscalar=%g\n", success, intscalar);

      if( success )
      {
         SCIP_Longint gcd;

         assert(intscalar > 0.0);

         /* calculate gcd of resulting integral coefficients */
         gcd = 0;
         for( v = 0; v < nints && gcd != 1; ++v )
         {
            SCIP_Longint absobj;

            /* if absobj exceeds maximum SCIP_Longint value, return */
            if( REALABS(objvals[v]) * intscalar + 0.5 > SCIP_LONGINT_MAX )
            {
               SCIPsetFreeBufferArray(set, &objvals);
               return SCIP_OKAY;
            }

            absobj = (SCIP_Longint)(REALABS(objvals[v]) * intscalar + 0.5);
            if( gcd == 0 )
               gcd = absobj;
            else if( absobj > 0 )
               gcd = SCIPcalcGreComDiv(gcd, absobj);
         }
         if( gcd != 0 )
            intscalar /= gcd;
         SCIPsetDebugMsg(set, "integral objective scalar: gcd=%" SCIP_LONGINT_FORMAT ", intscalar=%g\n", gcd, intscalar);

         /* only apply scaling if the final scalar is small enough */
         if( intscalar <= OBJSCALE_MAXFINALSCALE )
         {
            /* apply scaling */
            if( !SCIPsetIsEQ(set, intscalar, 1.0) )
            {
               /* calculate scaled objective values */
               for( v = 0; v < nints; ++v )
               {
                  SCIP_Real newobj;

                  /* check if new obj is really integral */
                  newobj = intscalar * SCIPvarGetObj(transprob->vars[v]);
                  if( !SCIPsetIsFeasIntegral(set, newobj) )
                     break;
                  objvals[v] = SCIPsetFeasFloor(set, newobj);
               }

               /* change the variables' objective values and adjust objscale and objoffset */
               if( v == nints )
               {
                  for( v = 0; v < nints; ++v )
                  {
                     SCIPsetDebugMsg(set, " -> var <%s>: newobj = %.6f\n", SCIPvarGetName(transprob->vars[v]), objvals[v]);
                     SCIP_CALL( SCIPvarChgObj(transprob->vars[v], blkmem, set, transprob, primal, lp, eventqueue, objvals[v]) );
                  }
                  transprob->objoffset *= intscalar;
                  transprob->objscale /= intscalar;
                  transprob->objisintegral = TRUE;
                  SCIPsetDebugMsg(set, "integral objective scalar: objscale=%g\n", transprob->objscale);

                  /* update upperbound and cutoffbound in primal data structure */
                  SCIP_CALL( SCIPprimalUpdateObjoffset(primal, blkmem, set, stat, eventfilter, eventqueue, transprob, origprob, tree, reopt, lp) );
               }
            }
         }
      }

      /* free temporary memory */
      SCIPsetFreeBufferArray(set, &objvals);
   }

   return SCIP_OKAY;
}

/** remembers the current solution as root solution in the problem variables */
void SCIPprobStoreRootSol(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< SCIP statistics */
   SCIP_LP*              lp,                 /**< current LP data */
   SCIP_Bool             roothaslp           /**< is the root solution from LP? */
   )
{
   int v;

   assert(prob != NULL);
   assert(prob->transformed);

   if( roothaslp )
   {
      for( v = 0; v < prob->nvars; ++v )
         SCIPvarStoreRootSol(prob->vars[v], roothaslp);

      SCIPlpSetRootLPIsRelax(lp, SCIPlpIsRelax(lp));
      SCIPlpStoreRootObjval(lp, set, prob);

      /* compute root LP best-estimate */
      SCIPstatComputeRootLPBestEstimate(stat, set, SCIPlpGetColumnObjval(lp), prob->vars, prob->nbinvars + prob->nintvars + prob->nimplvars);
   }
}

/** remembers the best solution w.r.t. root reduced cost propagation as root solution in the problem variables */
void SCIPprobUpdateBestRootSol(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_STAT*            stat,               /**< problem statistics */
   SCIP_LP*              lp                  /**< current LP data */
   )
{
   SCIP_Real rootlpobjval;
   int v;

   assert(prob != NULL);
   assert(lp != NULL);
   assert(prob->transformed);
   assert(lp->lpsolstat == SCIP_LPSOLSTAT_OPTIMAL);

   /* in case we have a zero objective fucntion, we skip the root reduced cost update */
   if( SCIPprobGetNObjVars(prob, set) == 0 )
      return;

   if( !SCIPlpIsDualReliable(lp) )
      return;

   SCIPsetDebugMsg(set, "update root reduced costs\n");

   /* compute current root LP objective value */
   rootlpobjval = SCIPlpGetObjval(lp, set, prob);
   assert(rootlpobjval != SCIP_INVALID); /*lint !e777*/

   for( v = 0; v < prob->nvars; ++v )
   {
      SCIP_VAR* var;
      SCIP_COL* col;
      SCIP_Real rootsol = 0.0;
      SCIP_Real rootredcost = 0.0;

      var = prob->vars[v];
      assert(var != NULL);

      /* check if the variable is part of the LP */
      if( SCIPvarGetStatus(var) != SCIP_VARSTATUS_COLUMN )
         continue;

      col = SCIPvarGetCol(var);
      assert(col != NULL);

      assert(SCIPlpGetSolstat(lp) == SCIP_LPSOLSTAT_OPTIMAL);

      if( !SCIPvarIsBinary(var) )
      {
         rootsol = SCIPvarGetSol(var, TRUE);
         rootredcost = SCIPcolGetRedcost(col, stat, lp);
      }
      else
      {
         SCIP_Real primsol;
         SCIP_BASESTAT basestat;
         SCIP_Bool lpissolbasic;

         basestat = SCIPcolGetBasisStatus(col);
         lpissolbasic = SCIPlpIsSolBasic(lp);
         primsol = SCIPcolGetPrimsol(col);

         if( (lpissolbasic && (basestat == SCIP_BASESTAT_LOWER || basestat == SCIP_BASESTAT_UPPER)) ||
            (!lpissolbasic && (SCIPsetIsFeasEQ(set, SCIPvarGetLbLocal(var), primsol) ||
               SCIPsetIsFeasEQ(set, SCIPvarGetUbLocal(var), primsol))) )
         {
            SCIP_Real lbrootredcost;
            SCIP_Real ubrootredcost;

            /* get reduced cost if the variable gets fixed to zero */
            lbrootredcost = SCIPvarGetImplRedcost(var, set, FALSE, stat, prob, lp);
            assert( !SCIPsetIsDualfeasPositive(set, lbrootredcost)
               || SCIPsetIsFeasEQ(set, SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var)));

            /* get reduced cost if the variable gets fixed to one */
            ubrootredcost = SCIPvarGetImplRedcost(var, set, TRUE, stat, prob, lp);
            assert( !SCIPsetIsDualfeasNegative(set, ubrootredcost)
               || SCIPsetIsFeasEQ(set, SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var)));

            if( -lbrootredcost > ubrootredcost )
            {
               rootredcost = lbrootredcost;
               rootsol = 1.0;
            }
            else
            {
               rootredcost = ubrootredcost;
               rootsol = 0.0;
            }
         }
      }

      /* update the current solution as best root solution in the problem variables if it is better */
      SCIPvarUpdateBestRootSol(var, set, rootsol, rootredcost, rootlpobjval);
   }
}

/** informs problem, that the presolving process was finished, and updates all internal data structures */ /*lint -e715*/
SCIP_RETCODE SCIPprobExitPresolve(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set                 /**< global SCIP settings */
   )
{  /*lint --e{715}*/
   return SCIP_OKAY;
}

/** initializes problem for branch and bound process and resets all constraint's ages and histories of current run */
SCIP_RETCODE SCIPprobInitSolve(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set                 /**< global SCIP settings */
   )
{
   int c;
   int v;

   assert(prob != NULL);
   assert(prob->transformed);
   assert(set != NULL);

   /* reset constraint's ages */
   for( c = 0; c < prob->nconss; ++c )
   {
      SCIP_CALL( SCIPconsResetAge(prob->conss[c], set) );
   }

   /* initialize variables for solving */
   for( v = 0; v < prob->nvars; ++v )
      SCIPvarInitSolve(prob->vars[v]);

   /* call user data function */
   if( prob->probinitsol != NULL )
   {
      SCIP_CALL( prob->probinitsol(set->scip, prob->probdata) );
   }

   /* assert that the counter for variables with nonzero objective is correct */
   assert(prob->nobjvars == SCIPprobGetNObjVars(prob, set));

   return SCIP_OKAY;
}

/** deinitializes problem after branch and bound process, and converts all COLUMN variables back into LOOSE variables */
SCIP_RETCODE SCIPprobExitSolve(
   SCIP_PROB*            prob,               /**< problem data */
   BMS_BLKMEM*           blkmem,             /**< block memory */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_EVENTQUEUE*      eventqueue,         /**< event queue */
   SCIP_LP*              lp,                 /**< current LP data */
   SCIP_Bool             restart             /**< was this exit solve call triggered by a restart? */
   )
{
   SCIP_VAR* var;
   int v;

   assert(prob != NULL);
   assert(prob->transformed);
   assert(set != NULL);

   /* call user data function */
   if( prob->probexitsol != NULL )
   {
      SCIP_CALL( prob->probexitsol(set->scip, prob->probdata, restart) );
   }

   /* convert all COLUMN variables back into LOOSE variables */
   if( prob->ncolvars > 0 )
   {
      for( v = 0; v < prob->nvars; ++v )
      {
         var = prob->vars[v];
         if( SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN )
         {
            SCIP_CALL( SCIPvarLoose(var, blkmem, set, eventqueue, prob, lp) );
         }

         /* invalidate root reduced cost, root reduced solution, and root LP objective value for each variable */
         SCIPvarSetBestRootSol(var, 0.0, 0.0, SCIP_INVALID);
      }
   }
   assert(prob->ncolvars == 0);

   return SCIP_OKAY;
}




/*
 * problem information
 */

/** sets problem name */
SCIP_RETCODE SCIPprobSetName(
   SCIP_PROB*            prob,               /**< problem data */
   const char*           name                /**< name to be set */
   )
{
   assert(prob != NULL);

   BMSfreeMemoryArray(&(prob->name));
   SCIP_ALLOC( BMSduplicateMemoryArray(&(prob->name), name, strlen(name)+1) );

   return SCIP_OKAY;
}

/** returns the number of implicit binary variables, meaning variable of vartype != SCIP_VARTYPE_BINARY and !=
 *  SCIP_VARTYPE_CONTINUOUS but with global bounds [0,1]
 *
 *  @note this number needs to be computed, because it cannot be updated like the other counters for binary and integer
 *        variables, each time the variable type changes(, we would need to update this counter each time a global bound
 *        changes), even at the end of presolving this cannot be computed, because some variable can change to an
 *        implicit binary status
 */
int SCIPprobGetNImplBinVars(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   int v;
   int nimplbinvars = 0;

   for( v = prob->nbinvars + prob->nintvars + prob->nimplvars - 1; v >= prob->nbinvars; --v )
   {
      if( SCIPvarIsBinary(prob->vars[v]) )
         ++nimplbinvars;
   }

   return nimplbinvars;
}

/** returns the number of variables with non-zero objective coefficient */
int SCIPprobGetNObjVars(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set                 /**< global SCIP settings */
   )
{
   if( prob->transformed )
   {
      /* this is much too expensive, to check it in each debug run */
#ifdef SCIP_MORE_DEBUG
      int nobjvars;
      int v;

      nobjvars = 0;

      for( v = prob->nvars - 1; v >= 0; --v )
      {
         if( !SCIPsetIsZero(set, SCIPvarGetObj(prob->vars[v])) )
            nobjvars++;
      }

      /* check that the internal count is correct */
      assert(prob->nobjvars == nobjvars);
#endif
      return prob->nobjvars;
   }
   else
   {
      int nobjvars;
      int v;

      nobjvars = 0;

      for( v = prob->nvars - 1; v >= 0; --v )
      {
         if( !SCIPsetIsZero(set, SCIPvarGetObj(prob->vars[v])) )
            nobjvars++;
      }
      return nobjvars;
   }
}

/** returns the minimal absolute non-zero objective coefficient
 *
 *  @note currently, this is only used for statistics and printed after the solving process. if this information is
 *        needed during the (pre)solving process this should be implemented more efficiently, e.g., updating the minimal
 *        absolute non-zero coefficient every time an objective coefficient has changed.
 */
SCIP_Real SCIPprobGetAbsMinObjCoef(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set                 /**< global SCIP settings */
   )
{
   SCIP_Real absmin;
   int v;

   absmin = SCIPsetInfinity(set);

   for( v = 0; v < prob->nvars; v++ )
   {
      SCIP_Real objcoef = SCIPvarGetObj(prob->vars[v]);

      if( !SCIPsetIsZero(set, objcoef) && SCIPsetIsLT(set, REALABS(objcoef), absmin) )
         absmin = REALABS(objcoef);
   }

   return absmin;
}

/** returns the maximal absolute non-zero objective coefficient
 *
 *  @note currently, this is only used for statistics and printed after the solving process. if this information is
 *        needed during the (pre)solving process this should be implemented more efficiently, e.g., updating the maximal
 *        absolute non-zero coefficient every time an objective coefficient has changed.
 */
SCIP_Real SCIPprobGetAbsMaxObjCoef(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set                 /**< global SCIP settings */
   )
{
   SCIP_Real absmax;
   int v;

   absmax = -SCIPsetInfinity(set);

   for( v = 0; v < prob->nvars; v++ )
   {
      SCIP_Real objcoef = SCIPvarGetObj(prob->vars[v]);

      if( !SCIPsetIsZero(set, objcoef) && SCIPsetIsGT(set, REALABS(objcoef), absmax) )
         absmax = REALABS(objcoef);
   }

   return absmax;
}


/** returns the external value of the given internal objective value */
SCIP_Real SCIPprobExternObjval(
   SCIP_PROB*            transprob,          /**< tranformed problem data */
   SCIP_PROB*            origprob,           /**< original problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_Real             objval              /**< internal objective value */
   )
{
   assert(set != NULL);
   assert(origprob != NULL);
   assert(transprob != NULL);
   assert(transprob->transformed);
   assert(transprob->objscale > 0.0);

   if( SCIPsetIsInfinity(set, objval) )
      return (SCIP_Real)transprob->objsense * SCIPsetInfinity(set);
   else if( SCIPsetIsInfinity(set, -objval) )
      return -(SCIP_Real)transprob->objsense * SCIPsetInfinity(set);
   else
      return (SCIP_Real)transprob->objsense * transprob->objscale * (objval + transprob->objoffset) + origprob->objoffset;
}

/** returns the internal value of the given external objective value */
SCIP_Real SCIPprobInternObjval(
   SCIP_PROB*            transprob,          /**< tranformed problem data */
   SCIP_PROB*            origprob,           /**< original problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_Real             objval              /**< external objective value */
   )
{
   assert(set != NULL);
   assert(origprob != NULL);
   assert(transprob != NULL);
   assert(transprob->transformed);
   assert(transprob->objscale > 0.0);

   if( SCIPsetIsInfinity(set, objval) )
      return (SCIP_Real)transprob->objsense * SCIPsetInfinity(set);
   else if( SCIPsetIsInfinity(set, -objval) )
      return -(SCIP_Real)transprob->objsense * SCIPsetInfinity(set);
   else
      return (SCIP_Real)transprob->objsense * (objval - origprob->objoffset)/transprob->objscale - transprob->objoffset;
}

/** returns variable of the problem with given name */
SCIP_VAR* SCIPprobFindVar(
   SCIP_PROB*            prob,               /**< problem data */
   const char*           name                /**< name of variable to find */
   )
{
   assert(prob != NULL);
   assert(name != NULL);

   if( prob->varnames == NULL )
   {
      SCIPerrorMessage("Cannot find variable if variable-names hashtable was disabled (due to parameter <misc/usevartable>)\n");
      SCIPABORT();/*lint --e{527}*/ /* only in debug mode */
      return NULL;
   }

   return (SCIP_VAR*)(SCIPhashtableRetrieve(prob->varnames, (char*)name));
}

/** returns constraint of the problem with given name */
SCIP_CONS* SCIPprobFindCons(
   SCIP_PROB*            prob,               /**< problem data */
   const char*           name                /**< name of variable to find */
   )
{
   assert(prob != NULL);
   assert(name != NULL);

   if( prob->consnames == NULL )
   {
      SCIPerrorMessage("Cannot find constraint if constraint-names hashtable was disabled (due to parameter <misc/useconstable>)\n");
      SCIPABORT();/*lint --e{527}*/ /* only in debug mode */
      return NULL;
   }

   return (SCIP_CONS*)(SCIPhashtableRetrieve(prob->consnames, (char*)name));
}

/** displays current pseudo solution */
void SCIPprobPrintPseudoSol(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_MESSAGEHDLR*     messagehdlr         /**< message handler */
   )
{
   SCIP_VAR* var;
   SCIP_Real solval;
   int v;

   for( v = 0; v < prob->nvars; ++v )
   {
      var = prob->vars[v];
      assert(var != NULL);
      solval = SCIPvarGetPseudoSol(var);
      if( !SCIPsetIsZero(set, solval) )
         SCIPmessagePrintInfo(messagehdlr, " <%s>=%.15g", SCIPvarGetName(var), solval);
   }
   SCIPmessagePrintInfo(messagehdlr, "\n");
}

/** outputs problem statistics */
void SCIPprobPrintStatistics(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_MESSAGEHDLR*     messagehdlr,        /**< message handler */
   FILE*                 file                /**< output file (or NULL for standard output) */
   )
{
   assert(prob != NULL);

   SCIPmessageFPrintInfo(messagehdlr, file, "  Problem name     : %s\n", prob->name);
   SCIPmessageFPrintInfo(messagehdlr, file, "  Variables        : %d (%d binary, %d integer, %d implicit integer, %d continuous)\n",
      prob->nvars, prob->nbinvars, prob->nintvars, prob->nimplvars, prob->ncontvars);
   SCIPmessageFPrintInfo(messagehdlr, file, "  Constraints      : %d initial, %d maximal\n", prob->startnconss, prob->maxnconss);
   SCIPmessageFPrintInfo(messagehdlr, file, "  Objective        : %s, %d non-zeros (abs.min = %g, abs.max = %g)\n",
         !prob->transformed ? (prob->objsense == SCIP_OBJSENSE_MINIMIZE ? "minimize" : "maximize") : "minimize",
         SCIPprobGetNObjVars(prob, set), SCIPprobGetAbsMinObjCoef(prob, set), SCIPprobGetAbsMaxObjCoef(prob, set));
}


#ifndef NDEBUG

/* In debug mode, the following methods are implemented as function calls to ensure
 * type validity.
 * In optimized mode, the methods are implemented as defines to improve performance.
 * However, we want to have them in the library anyways, so we have to undef the defines.
 */

#undef SCIPprobIsPermuted
#undef SCIPprobMarkPermuted
#undef SCIPprobIsTransformed
#undef SCIPprobIsObjIntegral
#undef SCIPprobAllColsInLP
#undef SCIPprobGetObjlim
#undef SCIPprobGetData
#undef SCIPprobGetName
#undef SCIPprobGetNVars
#undef SCIPprobGetNBinVars
#undef SCIPprobGetNIntVars
#undef SCIPprobGetNImplVars
#undef SCIPprobGetNContVars
#undef SCIPprobGetNConss
#undef SCIPprobGetVars
#undef SCIPprobGetObjoffset
#undef SCIPisConsCompressedEnabled
#undef SCIPprobEnableConsCompression

/** is the problem permuted */
SCIP_Bool SCIPprobIsPermuted(
   SCIP_PROB*            prob
   )
{
   assert(prob != NULL);

   return prob->permuted;
}

/** mark the problem as permuted */
void SCIPprobMarkPermuted(
   SCIP_PROB*            prob
   )
{
   assert(prob != NULL);

   prob->permuted = TRUE;
}

/** is the problem data transformed */
SCIP_Bool SCIPprobIsTransformed(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);

   return prob->transformed;
}

/** returns whether the objective value is known to be integral in every feasible solution */
SCIP_Bool SCIPprobIsObjIntegral(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);

   return prob->objisintegral;
}

/** returns TRUE iff all columns, i.e. every variable with non-empty column w.r.t. all ever created rows, are present
 *  in the LP, and FALSE, if there are additional already existing columns, that may be added to the LP in pricing
 */
SCIP_Bool SCIPprobAllColsInLP(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set,                /**< global SCIP settings */
   SCIP_LP*              lp                  /**< current LP data */
   )
{
   assert(SCIPlpGetNCols(lp) <= prob->ncolvars && prob->ncolvars <= prob->nvars);

   return (SCIPlpGetNCols(lp) == prob->ncolvars && set->nactivepricers == 0);
}

/** gets limit on objective function in external space */
SCIP_Real SCIPprobGetObjlim(
   SCIP_PROB*            prob,               /**< problem data */
   SCIP_SET*             set                 /**< global SCIP settings */
   )
{
   assert(prob != NULL);
   assert(set != NULL);

   return prob->objlim >= SCIP_INVALID ? (SCIP_Real)(prob->objsense) * SCIPsetInfinity(set) : prob->objlim;
}

/** gets user problem data */
SCIP_PROBDATA* SCIPprobGetData(
   SCIP_PROB*            prob                /**< problem */
   )
{
   assert(prob != NULL);

   return prob->probdata;
}

/** gets problem name */
const char* SCIPprobGetName(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->name;
}

/** gets number of problem variables */
int SCIPprobGetNVars(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->nvars;
}

/** gets number of binary problem variables */
int SCIPprobGetNBinVars(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->nbinvars;
}

/** gets number of integer problem variables */
int SCIPprobGetNIntVars(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->nintvars;
}

/** gets number of implicit integer problem variables */
int SCIPprobGetNImplVars(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->nimplvars;
}

/** gets number of continuous problem variables */
int SCIPprobGetNContVars(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->ncontvars;
}

/** gets problem variables */
SCIP_VAR** SCIPprobGetVars(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->vars;
}

/** gets number of problem constraints */
int SCIPprobGetNConss(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->nconss;
}

/** gets the objective offset */
SCIP_Real SCIPprobGetObjoffset(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->objoffset;
}

/** gets the objective scalar */
SCIP_Real SCIPprobGetObjscale(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);
   return prob->objscale;
}

/** is constraint compression enabled for this problem? */
SCIP_Bool SCIPprobIsConsCompressionEnabled(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);

   return prob->conscompression;
}

/** enable problem compression, i.e., constraints can reduce memory size by removing fixed variables during creation */
void SCIPprobEnableConsCompression(
   SCIP_PROB*            prob                /**< problem data */
   )
{
   assert(prob != NULL);

   prob->conscompression = TRUE;
}

#endif