Exemple #1
0
/** adds a given value to the fractionality counters of the rows in which the given variable appears */
static
void addFracCounter(
    int*                  nfracsinrow,        /**< array to store number of fractional variables per row */
    int                   nlprows,            /**< number of rows in LP */
    SCIP_VAR*             var,                /**< variable for which the counting should be updated */
    int                   incval              /**< value that should be added to the corresponding array entries */
)
{
    SCIP_COL* col;
    SCIP_ROW** rows;
    int nrows;
    int r;

    col = SCIPvarGetCol(var);
    rows = SCIPcolGetRows(col);
    nrows = SCIPcolGetNLPNonz(col);
    for( r = 0; r < nrows; ++r )
    {
        int rowidx;

        rowidx = SCIProwGetLPPos(rows[r]);
        assert(0 <= rowidx && rowidx < nlprows);
        nfracsinrow[rowidx] += incval;
        assert(nfracsinrow[rowidx] >= 0);
    }
}
Exemple #2
0
/** update row activities after a variable's solution value changed */
static
SCIP_RETCODE updateRowActivities(
   SCIP*                 scip,               /**< SCIP data structure */
   SCIP_Real*            activities,         /**< LP row activities */
   SCIP_VAR*             var,                /**< variable that has been changed */
   SCIP_Real             shiftval            /**< value that is added to variable */
   )
{
   SCIP_Real* colvals;
   SCIP_ROW** colrows;
   SCIP_COL* col;

   int ncolrows;
   int i;

   assert(activities != NULL);

   /* get data of column associated to variable */
   col = SCIPvarGetCol(var);
   colrows = SCIPcolGetRows(col);
   colvals = SCIPcolGetVals(col);
   ncolrows = SCIPcolGetNLPNonz(col);
   assert(ncolrows == 0 || (colrows != NULL && colvals != NULL));

   /* enumerate all rows with nonzero entry in this column */
   for( i = 0; i < ncolrows; ++i )
   {
      SCIP_ROW* row;
      int rowpos;

      row = colrows[i];
      rowpos = SCIProwGetLPPos(row);
      assert(-1 <= rowpos && rowpos < SCIPgetNLPRows(scip) );

      /* update row activity, only regard global rows in the LP */
      if( rowpos >= 0 && !SCIProwIsLocal(row) )
      {
         activities[rowpos] +=  shiftval * colvals[i];

         if( SCIPisInfinity(scip, activities[rowpos]) )
            activities[rowpos] = SCIPinfinity(scip);
         else if( SCIPisInfinity(scip, -activities[rowpos]) )
            activities[rowpos] = -SCIPinfinity(scip);
      }
   }

   return SCIP_OKAY;
}
Exemple #3
0
/** returns a score value for the given variable based on the active constraints that the variable appears in */
static
SCIP_Real getNActiveConsScore(
    SCIP*                 scip,               /**< SCIP data structure */
    SCIP_VAR*             var,                /**< variable to get the score value for */
    SCIP_Real*            downscore,          /**< pointer to store the score for branching downwards */
    SCIP_Real*            upscore             /**< pointer to store the score for branching upwards */
)
{
    SCIP_COL* col;
    SCIP_ROW** rows;
    SCIP_Real* vals;
    int nrows;
    int r;
    int nactrows;
    SCIP_Real downcoefsum;
    SCIP_Real upcoefsum;
    SCIP_Real score;

    assert(downscore != NULL);
    assert(upscore != NULL);

    *downscore = 0.0;
    *upscore = 0.0;
    if( SCIPvarGetStatus(var) != SCIP_VARSTATUS_COLUMN )
        return 0.0;

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

    rows = SCIPcolGetRows(col);
    vals = SCIPcolGetVals(col);
    nrows = SCIPcolGetNLPNonz(col);
    nactrows = 0;
    downcoefsum = 0.0;
    upcoefsum = 0.0;
    for( r = 0; r < nrows; ++r )
    {
        SCIP_Real activity;
        SCIP_Real lhs;
        SCIP_Real rhs;
        SCIP_Real dualsol;

        /* calculate number of active constraint sides, i.e., count equations as two */
        lhs = SCIProwGetLhs(rows[r]);
        rhs = SCIProwGetRhs(rows[r]);
        activity = SCIPgetRowLPActivity(scip, rows[r]);
        dualsol = SCIProwGetDualsol(rows[r]);
        if( SCIPisFeasEQ(scip, activity, lhs) )
        {
            SCIP_Real coef;

            nactrows++;
            coef = vals[r] / SCIProwGetNorm(rows[r]);
            if( SCIPisFeasPositive(scip, dualsol) )
            {
                if( coef > 0.0 )
                    downcoefsum += coef;
                else
                    upcoefsum -= coef;
            }
        }
        else if( SCIPisFeasEQ(scip, activity, rhs) )
        {
            SCIP_Real coef;

            nactrows++;
            coef = vals[r] / SCIProwGetNorm(rows[r]);
            if( SCIPisFeasNegative(scip, dualsol) )
            {
                if( coef > 0.0 )
                    upcoefsum += coef;
                else
                    downcoefsum -= coef;
            }
        }
    }
    score = 1e-3*nactrows + (downcoefsum + 1e-6) * (upcoefsum + 1e-6);
    *downscore = -downcoefsum;
    *upscore = -upcoefsum;

    return score;
}
/** determines shifting bounds for variable */
static
void calculateBounds(
   SCIP*                 scip,               /**< pointer to current SCIP data structure */
   SCIP_VAR*             var,                /**< the variable for which lb and ub have to be calculated */
   SCIP_Real             currentvalue,       /**< the current value of var in the working solution */
   SCIP_Real*            upperbound,         /**< pointer to store the calculated upper bound on the variable shift */
   SCIP_Real*            lowerbound,         /**< pointer to store the calculated lower bound on the variable shift */
   SCIP_Real*            upslacks,           /**< array that contains the slacks between row activities and the right hand sides of the rows */
   SCIP_Real*            downslacks,         /**< array that contains lhs slacks */
   int                   nslacks,            /**< current number of slacks */
   SCIP_Bool*            numericalerror      /**< flag to determine whether a numerical error occurred */
   )
{
   SCIP_COL*      col;
   SCIP_ROW**     colrows;
   SCIP_Real*     colvals;
   int            ncolvals;
   int i;

   assert(scip != NULL);
   assert(var != NULL);
   assert(upslacks != NULL);
   assert(downslacks != NULL);
   assert(upperbound != NULL);
   assert(lowerbound != NULL);

   /* get the column associated to the variable, the nonzero rows and the nonzero coefficients */
   col       = SCIPvarGetCol(var);
   colrows   = SCIPcolGetRows(col);
   colvals   = SCIPcolGetVals(col);
   ncolvals  = SCIPcolGetNLPNonz(col);

   /* only proceed, when variable has nonzero coefficients */
   if( ncolvals == 0 )
      return;

   assert(colvals != NULL);
   assert(colrows != NULL);

   /* initialize the bounds on the shift to be the gap of the current solution value to the bounds of the variable */
   if( SCIPisInfinity(scip, SCIPvarGetUbGlobal(var)) )
      *upperbound = SCIPinfinity(scip);
   else
      *upperbound = SCIPvarGetUbGlobal(var) - currentvalue;

   if( SCIPisInfinity(scip, -SCIPvarGetLbGlobal(var)) )
      *lowerbound = SCIPinfinity(scip);
   else
      *lowerbound = currentvalue - SCIPvarGetLbGlobal(var);

   /* go through every nonzero row coefficient corresponding to var to determine bounds for shifting
    * in such a way that shifting maintains feasibility in every LP row.
    * a lower or upper bound as it is calculated in zirounding always has to be >= 0.0.
    * if one of these values is significantly < 0.0, this will cause the abort of execution of the heuristic so that
    * infeasible solutions are avoided
    */
   for( i = 0; i < ncolvals && (*lowerbound > 0.0 || *upperbound > 0.0); ++i )
   {
      SCIP_ROW* row;
      int       rowpos;

      row = colrows[i];
      rowpos = SCIProwGetLPPos(row);

      /* the row might currently not be in the LP, ignore it! */
      if( rowpos == -1 )
         continue;

      assert(0 <= rowpos && rowpos < nslacks);

      /* all bounds and slacks as they are calculated in zirounding always have to be greater equal zero.
       * It might however be due to numerical issues, e.g. with scaling, that they are not. Better abort in this case.
       */
      if( SCIPisFeasLT(scip, *lowerbound, 0.0) || SCIPisFeasLT(scip, *upperbound, 0.0)
         || SCIPisFeasLT(scip, upslacks[rowpos], 0.0) || SCIPisFeasLT(scip, downslacks[rowpos] , 0.0) )
      {
         *numericalerror = TRUE;
         return;
      }

      SCIPdebugMessage("colval: %15.8g, downslack: %15.8g, upslack: %5.2g, lb: %5.2g, ub: %5.2g\n", colvals[i], downslacks[rowpos], upslacks[rowpos],
         *lowerbound, *upperbound);

      /* if coefficient > 0, rounding up might violate up slack and rounding down might violate down slack
       * thus search for the minimum so that no constraint is violated; vice versa for coefficient < 0
       */
      if( colvals[i] > 0 )
      {
         if( !SCIPisInfinity(scip, upslacks[rowpos]) )
         {
            SCIP_Real upslack;
            upslack = MAX(upslacks[rowpos], 0.0); /* avoid errors due to numerically slightly infeasible rows */
            *upperbound = MIN(*upperbound, upslack/colvals[i]);
         }

         if( !SCIPisInfinity(scip, downslacks[rowpos]) )
         {
            SCIP_Real downslack;
            downslack = MAX(downslacks[rowpos], 0.0); /* avoid errors due to numerically slightly infeasible rows */
            *lowerbound = MIN(*lowerbound, downslack/colvals[i]);
         }
      }
      else
      {
         assert(colvals[i] != 0.0);

         if( !SCIPisInfinity(scip, upslacks[rowpos]) )
         {
            SCIP_Real upslack;
            upslack = MAX(upslacks[rowpos], 0.0); /* avoid errors due to numerically slightly infeasible rows */
            *lowerbound = MIN(*lowerbound, -upslack/colvals[i]);
         }

         if( !SCIPisInfinity(scip, downslacks[rowpos]) )
         {
            SCIP_Real downslack;
            downslack = MAX(downslacks[rowpos], 0.0); /* avoid errors due to numerically slightly infeasible rows */
            *upperbound = MIN(*upperbound, -downslack/colvals[i]);
         }
      }
   }
}
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecZirounding)
{  /*lint --e{715}*/
   SCIP_HEURDATA*     heurdata;
   SCIP_SOL*          sol;
   SCIP_VAR**         lpcands;
   SCIP_VAR**         zilpcands;

   SCIP_VAR**         slackvars;
   SCIP_Real*         upslacks;
   SCIP_Real*         downslacks;
   SCIP_Real*         activities;
   SCIP_Real*         slackvarcoeffs;
   SCIP_Bool*         rowneedsslackvar;

   SCIP_ROW**         rows;
   SCIP_Real*         lpcandssol;
   SCIP_Real*         solarray;

   SCIP_Longint       nlps;
   int                currentlpcands;
   int                nlpcands;
   int                nimplfracs;
   int                i;
   int                c;
   int                nslacks;
   int                nroundings;

   SCIP_RETCODE       retcode;

   SCIP_Bool          improvementfound;
   SCIP_Bool          numericalerror;

   assert(strcmp(SCIPheurGetName(heur), HEUR_NAME) == 0);
   assert(result != NULL);
   assert(SCIPhasCurrentNodeLP(scip));

   *result = SCIP_DIDNOTRUN;

   /* do not call heuristic of node was already detected to be infeasible */
   if( nodeinfeasible )
      return SCIP_OKAY;

   /* only call heuristic if an optimal LP-solution is at hand */
   if( SCIPgetLPSolstat(scip) != SCIP_LPSOLSTAT_OPTIMAL )
      return SCIP_OKAY;

   /* only call heuristic, if the LP objective value is smaller than the cutoff bound */
   if( SCIPisGE(scip, SCIPgetLPObjval(scip), SCIPgetCutoffbound(scip)) )
      return SCIP_OKAY;

   /* get heuristic data */
   heurdata = SCIPheurGetData(heur);
   assert(heurdata != NULL);

   /* Do not call heuristic if deactivation check is enabled and percentage of found solutions in relation
    * to number of calls falls below heurdata->stoppercentage */
   if( heurdata->stopziround && SCIPheurGetNCalls(heur) >= heurdata->minstopncalls
      && SCIPheurGetNSolsFound(heur)/(SCIP_Real)SCIPheurGetNCalls(heur) < heurdata->stoppercentage )
      return SCIP_OKAY;

   /* assure that heuristic has not already been called after the last LP had been solved */
   nlps = SCIPgetNLPs(scip);
   if( nlps == heurdata->lastlp )
      return SCIP_OKAY;

   heurdata->lastlp = nlps;

   /* get fractional variables */
   SCIP_CALL( SCIPgetLPBranchCands(scip, &lpcands, &lpcandssol, NULL, &nlpcands, NULL, &nimplfracs) );
   nlpcands = nlpcands + nimplfracs;
   /* make sure that there is at least one fractional variable that should be integral */
   if( nlpcands == 0 )
      return SCIP_OKAY;

   assert(nlpcands > 0);
   assert(lpcands != NULL);
   assert(lpcandssol != NULL);

   /* get LP rows data */
   rows    = SCIPgetLPRows(scip);
   nslacks = SCIPgetNLPRows(scip);

   /* cannot do anything if LP is empty */
   if( nslacks == 0 )
      return SCIP_OKAY;

   assert(rows != NULL);
   assert(nslacks > 0);

   /* get the working solution from heuristic's local data */
   sol = heurdata->sol;
   assert(sol != NULL);

   *result = SCIP_DIDNOTFIND;

   solarray = NULL;
   zilpcands = NULL;

   retcode = SCIP_OKAY;
   /* copy the current LP solution to the working solution and allocate memory for local data */
   SCIP_CALL( SCIPlinkLPSol(scip, sol) );
   SCIP_CALL_TERMINATE(retcode, SCIPallocBufferArray(scip, &solarray, nlpcands), TERMINATE);
   SCIP_CALL_TERMINATE(retcode, SCIPallocBufferArray(scip, &zilpcands, nlpcands), TERMINATE);

   /* copy necessary data to local arrays */
   BMScopyMemoryArray(solarray, lpcandssol, nlpcands);
   BMScopyMemoryArray(zilpcands, lpcands, nlpcands);

   /* allocate buffer data arrays */
   SCIP_CALL_TERMINATE(retcode, SCIPallocBufferArray(scip, &slackvars, nslacks), TERMINATE);
   SCIP_CALL_TERMINATE(retcode, SCIPallocBufferArray(scip, &upslacks, nslacks), TERMINATE);
   SCIP_CALL_TERMINATE(retcode, SCIPallocBufferArray(scip, &downslacks, nslacks), TERMINATE);
   SCIP_CALL_TERMINATE(retcode, SCIPallocBufferArray(scip, &slackvarcoeffs, nslacks), TERMINATE);
   SCIP_CALL_TERMINATE(retcode, SCIPallocBufferArray(scip, &rowneedsslackvar, nslacks), TERMINATE);
   SCIP_CALL_TERMINATE(retcode, SCIPallocBufferArray(scip, &activities, nslacks), TERMINATE);

   BMSclearMemoryArray(slackvars, nslacks);
   BMSclearMemoryArray(slackvarcoeffs, nslacks);
   BMSclearMemoryArray(rowneedsslackvar, nslacks);

   numericalerror = FALSE;
   nroundings = 0;

   /* loop over fractional variables and involved LP rows to find all rows which require a slack variable */
   for( c = 0; c < nlpcands; ++c )
   {
      SCIP_VAR* cand;
      SCIP_ROW** candrows;
      int r;
      int ncandrows;

      cand = zilpcands[c];
      assert(cand != NULL);
      assert(SCIPcolGetLPPos(SCIPvarGetCol(cand)) >= 0);

      candrows = SCIPcolGetRows(SCIPvarGetCol(cand));
      ncandrows = SCIPcolGetNLPNonz(SCIPvarGetCol(cand));

      assert(candrows == NULL || ncandrows > 0);

      for( r = 0; r < ncandrows; ++r )
      {
         int rowpos;

         assert(candrows != NULL); /* to please flexelint */
         assert(candrows[r] != NULL);
         rowpos = SCIProwGetLPPos(candrows[r]);

         if( rowpos >= 0 && SCIPisFeasEQ(scip, SCIProwGetLhs(candrows[r]), SCIProwGetRhs(candrows[r])) )
         {
            rowneedsslackvar[rowpos] = TRUE;
            SCIPdebugMessage("  Row %s needs slack variable for variable %s\n", SCIProwGetName(candrows[r]), SCIPvarGetName(cand));
         }
      }
   }

   /* calculate row slacks for every every row that belongs to the current LP and ensure, that the current solution
    * has no violated constraint -- if any constraint is violated, i.e. a slack is significantly smaller than zero,
    * this will cause the termination of the heuristic because Zirounding does not provide feasibility recovering
    */
   for( i = 0; i < nslacks; ++i )
   {
      SCIP_ROW*          row;
      SCIP_Real          lhs;
      SCIP_Real          rhs;

      row = rows[i];

      assert(row != NULL);

      lhs = SCIProwGetLhs(row);
      rhs = SCIProwGetRhs(row);

      /* get row activity */
      activities[i] = SCIPgetRowActivity(scip, row);
      assert(SCIPisFeasLE(scip, lhs, activities[i]) && SCIPisFeasLE(scip, activities[i], rhs));

      /* in special case if LHS or RHS is (-)infinity slacks have to be initialized as infinity */
      if( SCIPisInfinity(scip, -lhs) )
         downslacks[i] = SCIPinfinity(scip);
      else
         downslacks[i] = activities[i] - lhs;

      if( SCIPisInfinity(scip, rhs) )
         upslacks[i] = SCIPinfinity(scip);
      else
         upslacks[i] = rhs - activities[i];

      SCIPdebugMessage("lhs:%5.2f <= act:%5.2g <= rhs:%5.2g --> down: %5.2g, up:%5.2g\n", lhs, activities[i], rhs, downslacks[i], upslacks[i]);

      /* row is an equation. Try to find a slack variable in the row, i.e.,
       * a continuous variable which occurs only in this row. If no such variable exists,
       * there is no hope for an IP-feasible solution in this round
       */
      if( SCIPisFeasEQ(scip, lhs, rhs) && rowneedsslackvar[i] )
      {
         /* @todo: This is only necessary for rows containing fractional variables. */
         rowFindSlackVar(scip, row, &(slackvars[i]), &(slackvarcoeffs[i]));

         if( slackvars[i] == NULL )
         {
            SCIPdebugMessage("No slack variable found for equation %s, terminating ZI Round heuristic\n", SCIProwGetName(row));
            goto TERMINATE;
         }
         else
         {
            SCIP_Real ubslackvar;
            SCIP_Real lbslackvar;
            SCIP_Real solvalslackvar;
            SCIP_Real coeffslackvar;
            SCIP_Real ubgap;
            SCIP_Real lbgap;

            assert(SCIPvarGetType(slackvars[i]) == SCIP_VARTYPE_CONTINUOUS);
            solvalslackvar = SCIPgetSolVal(scip, sol, slackvars[i]);
            ubslackvar = SCIPvarGetUbGlobal(slackvars[i]);
            lbslackvar = SCIPvarGetLbGlobal(slackvars[i]);

            coeffslackvar = slackvarcoeffs[i];
            assert(!SCIPisFeasZero(scip, coeffslackvar));

            ubgap = ubslackvar - solvalslackvar;
            lbgap = solvalslackvar - lbslackvar;

            if( SCIPisFeasZero(scip, ubgap) )
              ubgap = 0.0;
            if( SCIPisFeasZero(scip, lbgap) )
              lbgap = 0.0;

            if( SCIPisFeasPositive(scip, coeffslackvar) )
            {
              if( !SCIPisInfinity(scip, lbslackvar) )
                upslacks[i] += coeffslackvar * lbgap;
              else
                upslacks[i] = SCIPinfinity(scip);
              if( !SCIPisInfinity(scip, ubslackvar) )
                downslacks[i] += coeffslackvar * ubgap;
              else
                downslacks[i] = SCIPinfinity(scip);
            }
            else
            {
               if( !SCIPisInfinity(scip, ubslackvar) )
                  upslacks[i] -= coeffslackvar * ubgap;
               else
                  upslacks[i] = SCIPinfinity(scip);
               if( !SCIPisInfinity(scip, lbslackvar) )
                  downslacks[i] -= coeffslackvar * lbgap;
               else
                  downslacks[i] = SCIPinfinity(scip);
            }
            SCIPdebugMessage("  Slack variable for row %s at pos %d: %g <= %s = %g <= %g; Coeff %g, upslack = %g, downslack = %g  \n",
               SCIProwGetName(row), SCIProwGetLPPos(row), lbslackvar, SCIPvarGetName(slackvars[i]), solvalslackvar, ubslackvar, coeffslackvar,
               upslacks[i], downslacks[i]);
         }
      }
      /* due to numerical inaccuracies, the rows might be feasible, even if the slacks are
       * significantly smaller than zero -> terminate
       */
      if( SCIPisFeasLT(scip, upslacks[i], 0.0) || SCIPisFeasLT(scip, downslacks[i], 0.0) )
         goto TERMINATE;
   }

   assert(nslacks == 0 || (upslacks != NULL && downslacks != NULL && activities != NULL));

   /* initialize number of remaining variables and flag to enter the main loop */
   currentlpcands = nlpcands;
   improvementfound = TRUE;

   /* iterate over variables as long as there are fractional variables left */
   while( currentlpcands > 0 && improvementfound && (heurdata->maxroundingloops == -1 || nroundings < heurdata->maxroundingloops) )
   {  /*lint --e{850}*/
      improvementfound = FALSE;
      nroundings++;
      SCIPdebugMessage("zirounding enters while loop for %d time with %d candidates left. \n", nroundings, currentlpcands);

      /* check for every remaining fractional variable if a shifting decreases ZI-value of the variable */
      for( c = 0; c < currentlpcands; ++c )
      {
         SCIP_VAR* var;
         SCIP_Real oldsolval;
         SCIP_Real upperbound;
         SCIP_Real lowerbound;
         SCIP_Real up;
         SCIP_Real down;
         SCIP_Real ziup;
         SCIP_Real zidown;
         SCIP_Real zicurrent;
         SCIP_Real shiftval;

         DIRECTION direction;

         /* get values from local data */
         oldsolval = solarray[c];
         var = zilpcands[c];

         assert(!SCIPisFeasIntegral(scip, oldsolval));
         assert(SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN);

         /* calculate bounds for variable and make sure that there are no numerical inconsistencies */
         upperbound = SCIPinfinity(scip);
         lowerbound = SCIPinfinity(scip);
         calculateBounds(scip, var, oldsolval, &upperbound, &lowerbound, upslacks, downslacks, nslacks, &numericalerror);

         if( numericalerror )
            goto TERMINATE;

         /* calculate the possible values after shifting */
         up   = oldsolval + upperbound;
         down = oldsolval - lowerbound;

         /* if the variable is integer or implicit binary, do not shift further than the nearest integer */
         if( SCIPvarGetType(var) != SCIP_VARTYPE_BINARY)
         {
            SCIP_Real ceilx;
            SCIP_Real floorx;

            ceilx = SCIPfeasCeil(scip, oldsolval);
            floorx = SCIPfeasFloor(scip, oldsolval);
            up   = MIN(up, ceilx);
            down = MAX(down, floorx);
         }

         /* calculate necessary values */
         ziup      = getZiValue(scip, up);
         zidown    = getZiValue(scip, down);
         zicurrent = getZiValue(scip, oldsolval);

         /* calculate the shifting direction that reduces ZI-value the most,
          * if both directions improve ZI-value equally, take the direction which improves the objective
          */
         if( SCIPisFeasLT(scip, zidown, zicurrent) || SCIPisFeasLT(scip, ziup, zicurrent) )
         {
            if( SCIPisFeasEQ(scip,ziup, zidown) )
               direction  = SCIPisFeasGE(scip, SCIPvarGetObj(var), 0.0) ? DIRECTION_DOWN : DIRECTION_UP;
            else if( SCIPisFeasLT(scip, zidown, ziup) )
               direction = DIRECTION_DOWN;
            else
               direction = DIRECTION_UP;

            /* once a possible shifting direction and value have been found, variable value is updated */
            shiftval = (direction == DIRECTION_UP ? up - oldsolval : down - oldsolval);

            /* this improves numerical stability in some cases */
            if( direction == DIRECTION_UP )
               shiftval = MIN(shiftval, upperbound);
            else
               shiftval = MIN(shiftval, lowerbound);
            /* update the solution */
            solarray[c] = direction == DIRECTION_UP ? up : down;
            SCIP_CALL( SCIPsetSolVal(scip, sol, var, solarray[c]) );

            /* update the rows activities and slacks */
            SCIP_CALL( updateSlacks(scip, sol, var, shiftval, upslacks,
                  downslacks, activities, slackvars, slackvarcoeffs, nslacks) );

            SCIPdebugMessage("zirounding update step : %d var index, oldsolval=%g, shiftval=%g\n",
               SCIPvarGetIndex(var), oldsolval, shiftval);
            /* since at least one improvement has been found, heuristic will enter main loop for another time because the improvement
             * might affect many LP rows and their current slacks and thus make further rounding steps possible */
            improvementfound = TRUE;
         }

         /* if solution value of variable has become feasibly integral due to rounding step,
          * variable is put at the end of remaining candidates array so as not to be considered in future loops
          */
         if( SCIPisFeasIntegral(scip, solarray[c]) )
         {
            zilpcands[c] = zilpcands[currentlpcands - 1];
            solarray[c] = solarray[currentlpcands - 1];
            currentlpcands--;

            /* counter is decreased if end of candidates array has not been reached yet */
            if( c < currentlpcands )
               c--;
         }
         else if( nroundings == heurdata->maxroundingloops - 1 )
            goto TERMINATE;
      }
   }

   /* in case that no candidate is left for rounding after the final main loop
    * the found solution has to be checked for feasibility in the original problem
    */
   if( currentlpcands == 0 )
   {
      SCIP_Bool stored;
      SCIP_CALL(SCIPtrySol(scip, sol, FALSE, FALSE, TRUE, FALSE, &stored));
      if( stored )
      {
#ifdef SCIP_DEBUG
         SCIPdebugMessage("found feasible rounded solution:\n");
         SCIP_CALL( SCIPprintSol(scip, sol, NULL, FALSE) );
#endif
         SCIPstatisticMessage("  ZI Round solution value: %g \n", SCIPgetSolOrigObj(scip, sol));

         *result = SCIP_FOUNDSOL;
      }
   }

   /* free memory for all locally allocated data */
 TERMINATE:
   SCIPfreeBufferArrayNull(scip, &activities);
   SCIPfreeBufferArrayNull(scip, &rowneedsslackvar);
   SCIPfreeBufferArrayNull(scip, &slackvarcoeffs);
   SCIPfreeBufferArrayNull(scip, &downslacks);
   SCIPfreeBufferArrayNull(scip, &upslacks);
   SCIPfreeBufferArrayNull(scip, &slackvars);
   SCIPfreeBufferArrayNull(scip, &zilpcands);
   SCIPfreeBufferArrayNull(scip, &solarray);

   return retcode;
}
/**  when a variable is shifted, the activities and slacks of all rows it appears in have to be updated */
static
SCIP_RETCODE updateSlacks(
   SCIP*                 scip,               /**< pointer to current SCIP data structure */
   SCIP_SOL*             sol,                /**< working solution */
   SCIP_VAR*             var,                /**< pointer to variable to be modified */
   SCIP_Real             shiftvalue,         /**< the value by which the variable is shifted */
   SCIP_Real*            upslacks,           /**< upslacks of all rows the variable appears in */
   SCIP_Real*            downslacks,         /**< downslacks of all rows the variable appears in */
   SCIP_Real*            activities,         /**< activities of the LP rows */
   SCIP_VAR**            slackvars,          /**< the slack variables for equality rows */
   SCIP_Real*            slackcoeffs,        /**< the slack variable coefficients */
   int                   nslacks             /**< size of the arrays */
   )
{
   SCIP_COL*    col;        /* the corresponding column of variable var */
   SCIP_ROW**   rows;       /* pointer to the nonzero coefficient rows for variable var */
   int          nrows;      /* the number of nonzeros */
   SCIP_Real*   colvals;    /* array to store the nonzero coefficients */
   int i;

   assert(scip != NULL);
   assert(sol != NULL);
   assert(var != NULL);
   assert(upslacks != NULL);
   assert(downslacks != NULL);
   assert(activities != NULL);
   assert(nslacks >= 0);

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

   rows     = SCIPcolGetRows(col);
   nrows    = SCIPcolGetNLPNonz(col);
   colvals  = SCIPcolGetVals(col);
   assert(nrows == 0 || (rows != NULL && colvals != NULL));

   /* go through all rows the shifted variable appears in */
   for( i = 0; i < nrows; ++i )
   {
      int rowpos;

      rowpos = SCIProwGetLPPos(rows[i]);
      assert(-1 <= rowpos && rowpos < nslacks);

      /* if the row is in the LP, update its activity, up and down slack */
      if( rowpos >= 0 )
      {
         SCIP_Real val;

         val = colvals[i] * shiftvalue;

         /* if the row is an equation, we update its slack variable instead of its activities */
         if( SCIPisFeasEQ(scip, SCIProwGetLhs(rows[i]), SCIProwGetRhs(rows[i])) )
         {
            SCIP_Real slackvarshiftval;
            SCIP_Real slackvarsolval;

            assert(slackvars[rowpos] != NULL);
            assert(!SCIPisFeasZero(scip, slackcoeffs[rowpos]));

            slackvarsolval = SCIPgetSolVal(scip, sol, slackvars[rowpos]);
            slackvarshiftval = -val / slackcoeffs[rowpos];

            assert(SCIPisFeasGE(scip, slackvarsolval + slackvarshiftval, SCIPvarGetLbGlobal(slackvars[rowpos])));
            assert(SCIPisFeasLE(scip, slackvarsolval + slackvarshiftval, SCIPvarGetUbGlobal(slackvars[rowpos])));

            SCIP_CALL( SCIPsetSolVal(scip, sol, slackvars[rowpos], slackvarsolval + slackvarshiftval) );
         }
         else if( !SCIPisInfinity(scip, -activities[rowpos]) && !SCIPisInfinity(scip, activities[rowpos]) )
            activities[rowpos] += val;

         /* the slacks of the row now can be updated independently of its type */
         if( !SCIPisInfinity(scip, upslacks[rowpos]) )
            upslacks[rowpos] -= val;
         if( !SCIPisInfinity(scip, -downslacks[rowpos]) )
            downslacks[rowpos] += val;

         assert(!SCIPisFeasNegative(scip, upslacks[rowpos]));
         assert(!SCIPisFeasNegative(scip, downslacks[rowpos]));
      }
   }
   return SCIP_OKAY;
}
Exemple #7
0
/** compute value by which the solution of variable @p var can be shifted */
static
SCIP_Real calcShiftVal(
   SCIP*                 scip,               /**< SCIP data structure */
   SCIP_VAR*             var,                /**< variable that should be shifted */
   SCIP_Real             solval,             /**< current solution value */
   SCIP_Real*            activities          /**< LP row activities */
   )
{
   SCIP_Real lb;
   SCIP_Real ub;
   SCIP_Real obj;
   SCIP_Real shiftval;

   SCIP_COL* col;
   SCIP_ROW** colrows;
   SCIP_Real* colvals;
   SCIP_Bool shiftdown;

   int ncolrows;
   int i;


   /* get variable's solution value, global bounds and objective coefficient */
   lb = SCIPvarGetLbGlobal(var);
   ub = SCIPvarGetUbGlobal(var);
   obj = SCIPvarGetObj(var);
   shiftval = 0.0;
   shiftdown = TRUE;

   /* determine shifting direction and maximal possible shifting w.r.t. corresponding bound */
   if( obj > 0.0 && SCIPisFeasGE(scip, solval - 1.0, lb) )
      shiftval = SCIPfeasFloor(scip, solval - lb);
   else if( obj < 0.0 && SCIPisFeasLE(scip, solval + 1.0, ub) )
   {
      shiftval = SCIPfeasFloor(scip, ub - solval);
      shiftdown = FALSE;
   }
   else
      return 0.0;


   SCIPdebugMessage("Try to shift %s variable <%s> with\n", shiftdown ? "down" : "up", SCIPvarGetName(var) );
   SCIPdebugMessage("    lb:<%g> <= val:<%g> <= ub:<%g> and obj:<%g> by at most: <%g>\n", lb, solval, ub, obj, shiftval);

   /* get data of LP column */
   col = SCIPvarGetCol(var);
   colrows = SCIPcolGetRows(col);
   colvals = SCIPcolGetVals(col);
   ncolrows = SCIPcolGetNLPNonz(col);

   assert(ncolrows == 0 || (colrows != NULL && colvals != NULL));

   /* find minimal shift value, st. all rows stay valid */
   for( i = 0; i < ncolrows && shiftval > 0.0; ++i )
   {
      SCIP_ROW* row;
      int rowpos;

      row = colrows[i];
      rowpos = SCIProwGetLPPos(row);
      assert(-1 <= rowpos && rowpos < SCIPgetNLPRows(scip) );

      /* only global rows need to be valid */
      if( rowpos >= 0 && !SCIProwIsLocal(row) )
      {
         SCIP_Real shiftvalrow;

         assert(SCIProwIsInLP(row));

         if( shiftdown == (colvals[i] > 0) )
            shiftvalrow = SCIPfeasFloor(scip, (activities[rowpos] - SCIProwGetLhs(row)) / ABS(colvals[i]));
         else
            shiftvalrow = SCIPfeasFloor(scip, (SCIProwGetRhs(row) -  activities[rowpos]) / ABS(colvals[i]));
#ifdef SCIP_DEBUG
         if( shiftvalrow < shiftval )
         {
            SCIPdebugMessage(" -> The shift value had to be reduced to <%g>, because of row <%s>.\n",
               shiftvalrow, SCIProwGetName(row));
            SCIPdebugMessage("    lhs:<%g> <= act:<%g> <= rhs:<%g>, colval:<%g>\n",
               SCIProwGetLhs(row), activities[rowpos], SCIProwGetRhs(row), colvals[i]);
         }
#endif
         shiftval = MIN(shiftval, shiftvalrow);
         /* shiftvalrow might be negative, if we detected infeasibility -> make sure that shiftval is >= 0 */
         shiftval = MAX(shiftval, 0.0);
      }
   }
   if( shiftdown )
      shiftval *= -1.0;

   /* we must not shift variables to infinity */
   if( SCIPisInfinity(scip, solval + shiftval) )
      shiftval = 0.0;

   return shiftval;
}
/** returns a score value for the given variable based on the active constraints that the variable appears in */
static
SCIP_Real getNActiveConsScore(
   SCIP*                 scip,               /**< SCIP data structure */
   SCIP_SOL*             sol,                /**< working solution */
   SCIP_VAR*             var,                /**< variable to get the score value for */
   SCIP_Real*            downscore,          /**< pointer to store the score for branching downwards */
   SCIP_Real*            upscore             /**< pointer to store the score for branching upwards */
   )
{
   SCIP_COL* col;
   SCIP_ROW** rows;
   SCIP_Real* vals;
   int nrows;
   int r;
   int nactrows;
   SCIP_Real nlprows;
   SCIP_Real downcoefsum;
   SCIP_Real upcoefsum;
   SCIP_Real score;

   assert(downscore != NULL);
   assert(upscore != NULL);

   *downscore = 0.0;
   *upscore = 0.0;
   if( SCIPvarGetStatus(var) != SCIP_VARSTATUS_COLUMN )
      return 0.0;

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

   rows = SCIPcolGetRows(col);
   vals = SCIPcolGetVals(col);
   nrows = SCIPcolGetNLPNonz(col);
   nactrows = 0;
   downcoefsum = 0.0;
   upcoefsum = 0.0;
   for( r = 0; r < nrows; ++r )
   {
      SCIP_ROW* row;
      SCIP_Real activity;
      SCIP_Real lhs;
      SCIP_Real rhs;
      SCIP_Real dualsol;

      row = rows[r];
      /* calculate number of active constraint sides, i.e., count equations as two */
      lhs = SCIProwGetLhs(row);
      rhs = SCIProwGetRhs(row);

      /* @todo this is suboptimal because activity is calculated by looping over all nonzeros of this row, need to
       * store LP activities instead (which cannot be retrieved if no LP was solved at this node)
       */
      activity = SCIPgetRowSolActivity(scip, row, sol);

      dualsol = SCIProwGetDualsol(row);
      if( SCIPisFeasEQ(scip, activity, lhs) )
      {
         SCIP_Real coef;

         nactrows++;
         coef = vals[r] / SCIProwGetNorm(row);
         if( SCIPisFeasPositive(scip, dualsol) )
         {
            if( coef > 0.0 )
               downcoefsum += coef;
            else
               upcoefsum -= coef;
         }
      }
      else if( SCIPisFeasEQ(scip, activity, rhs) )
      {
         SCIP_Real coef;

         nactrows++;
         coef = vals[r] / SCIProwGetNorm(row);
         if( SCIPisFeasNegative(scip, dualsol) )
         {
            if( coef > 0.0 )
               upcoefsum += coef;
            else
               downcoefsum -= coef;
         }
      }
   }

   /* use the number of LP rows for normalization */
   nlprows = (SCIP_Real)SCIPgetNLPRows(scip);
   upcoefsum /= nlprows;
   downcoefsum /= nlprows;

   /* calculate the score using SCIP's branch score. Pass NULL as variable to not have the var branch factor influence
    * the result
    */
   score = nactrows / nlprows + SCIPgetBranchScore(scip, NULL, downcoefsum, upcoefsum);

   assert(score <= 3.0);
   assert(score >= 0.0);

   *downscore = downcoefsum;
   *upscore = upcoefsum;

   return score;
}
/** process a variable from the queue of changed variables */
static
SCIP_RETCODE varProcessBoundChanges(
   SCIP*                 scip,               /**< SCIP data structure */
   SCIP_HEURDATA*        heurdata,           /**< heuristic data */
   SCIP_VAR*             var                 /**< the variable whose bound changes need to be processed */
   )
{
   SCIP_ROW** colrows;
   SCIP_COL* varcol;
   SCIP_Real* colvals;
   SCIP_Real oldmean;
   SCIP_Real newmean;
   SCIP_Real oldvariance;
   SCIP_Real newvariance;
   SCIP_Real oldlb;
   SCIP_Real newlb;
   SCIP_Real oldub;
   SCIP_Real newub;
   SCIP_VARTYPE vartype;
   int ncolrows;
   int r;
   int varindex;

   /* ensure that this is a probing bound change */
   assert(SCIPinProbing(scip));

   assert(var != NULL);
   varcol = SCIPvarGetCol(var);
   assert(varcol != NULL);
   colrows = SCIPcolGetRows(varcol);
   colvals = SCIPcolGetVals(varcol);
   ncolrows = SCIPcolGetNNonz(varcol);

   varindex = SCIPvarGetProbindex(var);

   oldlb = heurdata->currentlbs[varindex];
   oldub = heurdata->currentubs[varindex];

   /* skip update if the variable has never been subject of previously calculated row activities */
   assert((oldlb == SCIP_INVALID) == (oldub == SCIP_INVALID)); /*lint !e777 doesn't like comparing floats for equality */
   if( oldlb == SCIP_INVALID ) /*lint !e777 */
      return SCIP_OKAY;

   newlb = SCIPvarGetLbLocal(var);
   newub = SCIPvarGetUbLocal(var);

   /* skip update if the bound change events have cancelled out */
   if( SCIPisFeasEQ(scip, oldlb, newlb) && SCIPisFeasEQ(scip, oldub, newub) )
      return SCIP_OKAY;

   /* calculate old and new variable distribution mean and variance */
   oldvariance = 0.0;
   newvariance = 0.0;
   oldmean = 0.0;
   newmean = 0.0;
   vartype = SCIPvarGetType(var);
   SCIPvarCalcDistributionParameters(scip, oldlb, oldub, vartype, &oldmean, &oldvariance);
   SCIPvarCalcDistributionParameters(scip, newlb, newub, vartype, &newmean, &newvariance);

   /* loop over all rows of this variable and update activity distribution */
   for( r = 0; r < ncolrows; ++r )
   {
      int rowpos;

      assert(colrows[r] != NULL);
      rowpos = SCIProwGetIndex(colrows[r]);
      assert(rowpos >= 0);

      SCIP_CALL( heurdataEnsureArraySize(scip, heurdata, rowpos) );

      /* only consider rows for which activity distribution was already calculated */
      if( heurdata->rowmeans[rowpos] != SCIP_INVALID ) /*lint !e777 doesn't like comparing floats for equality */
      {
         SCIP_Real coeff;
         SCIP_Real coeffsquared;
         assert(heurdata->rowvariances[rowpos] != SCIP_INVALID
               && SCIPisFeasGE(scip, heurdata->rowvariances[rowpos], 0.0)); /*lint !e777 */

         coeff = colvals[r];
         coeffsquared = SQUARED(coeff);

         /* update variable contribution to row activity distribution */
         heurdata->rowmeans[rowpos] += coeff * (newmean - oldmean);
         heurdata->rowvariances[rowpos] += coeffsquared * (newvariance - oldvariance);
         heurdata->rowvariances[rowpos] = MAX(0.0, heurdata->rowvariances[rowpos]);

         /* account for changes of the infinite contributions to row activities */
         if( coeff > 0.0 )
         {
            /* if the coefficient is positive, upper bounds affect activity up */
            if( SCIPisInfinity(scip, newub) && !SCIPisInfinity(scip, oldub) )
               ++heurdata->rowinfinitiesup[rowpos];
            else if( !SCIPisInfinity(scip, newub) && SCIPisInfinity(scip, oldub) )
               --heurdata->rowinfinitiesup[rowpos];

            if( SCIPisInfinity(scip, newlb) && !SCIPisInfinity(scip, oldlb) )
               ++heurdata->rowinfinitiesdown[rowpos];
            else if( !SCIPisInfinity(scip, newlb) && SCIPisInfinity(scip, oldlb) )
               --heurdata->rowinfinitiesdown[rowpos];
         }
         else if( coeff < 0.0 )
         {
            if( SCIPisInfinity(scip, newub) && !SCIPisInfinity(scip, oldub) )
               ++heurdata->rowinfinitiesdown[rowpos];
            else if( !SCIPisInfinity(scip, newub) && SCIPisInfinity(scip, oldub) )
               --heurdata->rowinfinitiesdown[rowpos];

            if( SCIPisInfinity(scip, newlb) && !SCIPisInfinity(scip, oldlb) )
               ++heurdata->rowinfinitiesup[rowpos];
            else if( !SCIPisInfinity(scip, newlb) && SCIPisInfinity(scip, oldlb) )
               --heurdata->rowinfinitiesup[rowpos];
         }
         assert(heurdata->rowinfinitiesdown[rowpos] >= 0);
         assert(heurdata->rowinfinitiesup[rowpos] >= 0);
      }
   }

   /* store the new local bounds in the data */
   heurdataUpdateCurrentBounds(scip, heurdata, var);

   return SCIP_OKAY;
}
/** calculate the branching score of a variable, depending on the chosen score parameter */
static
SCIP_RETCODE calcBranchScore(
   SCIP*                 scip,               /**< current SCIP */
   SCIP_HEURDATA*        heurdata,           /**< branch rule data */
   SCIP_VAR*             var,                /**< candidate variable */
   SCIP_Real             lpsolval,           /**< current fractional LP-relaxation solution value  */
   SCIP_Real*            upscore,            /**< pointer to store the variable score when branching on it in upward direction */
   SCIP_Real*            downscore,          /**< pointer to store the variable score when branching on it in downward direction */
   char                  scoreparam          /**< the score parameter of this heuristic */
   )
{
   SCIP_COL* varcol;
   SCIP_ROW** colrows;
   SCIP_Real* rowvals;
   SCIP_Real varlb;
   SCIP_Real varub;
   SCIP_Real squaredbounddiff; /* current squared difference of variable bounds (ub - lb)^2 */
   SCIP_Real newub;            /* new upper bound if branching downwards */
   SCIP_Real newlb;            /* new lower bound if branching upwards */
   SCIP_Real squaredbounddiffup; /* squared difference after branching upwards (ub - lb')^2 */
   SCIP_Real squaredbounddiffdown; /* squared difference after branching downwards (ub' - lb)^2 */
   SCIP_Real currentmean;      /* current mean value of variable uniform distribution */
   SCIP_Real meanup;           /* mean value of variable uniform distribution after branching up */
   SCIP_Real meandown;         /* mean value of variable uniform distribution after branching down*/
   SCIP_VARTYPE vartype;
   int ncolrows;
   int i;

   SCIP_Bool onlyactiverows; /* should only rows which are active at the current node be considered? */

   assert(scip != NULL);
   assert(var != NULL);
   assert(upscore != NULL);
   assert(downscore != NULL);
   assert(!SCIPisIntegral(scip, lpsolval) || SCIPvarIsBinary(var));
   assert(SCIPvarGetStatus(var) == SCIP_VARSTATUS_COLUMN);

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

   colrows = SCIPcolGetRows(varcol);
   rowvals = SCIPcolGetVals(varcol);
   ncolrows = SCIPcolGetNNonz(varcol);
   varlb = SCIPvarGetLbLocal(var);
   varub = SCIPvarGetUbLocal(var);
   assert(SCIPisFeasLT(scip, varlb, varub));
   vartype = SCIPvarGetType(var);

   /* calculate mean and variance of variable uniform distribution before and after branching */
   currentmean = 0.0;
   squaredbounddiff = 0.0;
   SCIPvarCalcDistributionParameters(scip, varlb, varub, vartype, &currentmean, &squaredbounddiff);

   /* unfixed binary variables may have an integer solution value in the LP solution, eg, at the presence of indicator constraints */
   if( !SCIPvarIsBinary(var) )
   {
      newlb = SCIPfeasCeil(scip, lpsolval);
      newub = SCIPfeasFloor(scip, lpsolval);
   }
   else
   {
      newlb = 1.0;
      newub = 0.0;
   }


   /* calculate the variable's uniform distribution after branching up and down, respectively. */
   squaredbounddiffup = 0.0;
   meanup = 0.0;
   SCIPvarCalcDistributionParameters(scip, newlb, varub, vartype, &meanup, &squaredbounddiffup);

   /* calculate the distribution mean and variance for a variable with finite lower bound */
   squaredbounddiffdown = 0.0;
   meandown = 0.0;
   SCIPvarCalcDistributionParameters(scip, varlb, newub, vartype, &meandown, &squaredbounddiffdown);

   /* initialize the variable's up and down score */
   *upscore = 0.0;
   *downscore = 0.0;

   onlyactiverows = FALSE;

   /* loop over the variable rows and calculate the up and down score */
   for( i = 0; i < ncolrows; ++i )
   {
      SCIP_ROW* row;
      SCIP_Real changedrowmean;
      SCIP_Real rowmean;
      SCIP_Real rowvariance;
      SCIP_Real changedrowvariance;
      SCIP_Real currentrowprob;
      SCIP_Real newrowprobup;
      SCIP_Real newrowprobdown;
      SCIP_Real squaredcoeff;
      SCIP_Real rowval;
      int rowinfinitiesdown;
      int rowinfinitiesup;
      int rowpos;

      row = colrows[i];
      rowval = rowvals[i];
      assert(row != NULL);

      /* we access the rows by their index */
      rowpos = SCIProwGetIndex(row);

      /* skip non-active rows if the user parameter was set this way */
      if( onlyactiverows && SCIPisSumPositive(scip, SCIPgetRowLPFeasibility(scip, row)) )
         continue;

      /* call method to ensure sufficient data capacity */
      SCIP_CALL( heurdataEnsureArraySize(scip, heurdata, rowpos) );

      /* calculate row activity distribution if this is the first candidate to appear in this row */
      if( heurdata->rowmeans[rowpos] == SCIP_INVALID ) /*lint !e777 doesn't like comparing floats for equality */
      {
         rowCalculateGauss(scip, heurdata, row, &heurdata->rowmeans[rowpos], &heurdata->rowvariances[rowpos],
               &heurdata->rowinfinitiesdown[rowpos], &heurdata->rowinfinitiesup[rowpos]);
      }

      /* retrieve the row distribution parameters from the branch rule data */
      rowmean = heurdata->rowmeans[rowpos];
      rowvariance = heurdata->rowvariances[rowpos];
      rowinfinitiesdown = heurdata->rowinfinitiesdown[rowpos];
      rowinfinitiesup = heurdata->rowinfinitiesup[rowpos];
      assert(!SCIPisNegative(scip, rowvariance));

      currentrowprob = SCIProwCalcProbability(scip, row, rowmean, rowvariance,
            rowinfinitiesdown, rowinfinitiesup);

      /* get variable's current expected contribution to row activity */
      squaredcoeff = SQUARED(rowval);

      /* first, get the probability change for the row if the variable is branched on upwards. The probability
       * can only be affected if the variable upper bound is finite
       */
      if( !SCIPisInfinity(scip, varub) )
      {
         int rowinftiesdownafterbranch;
         int rowinftiesupafterbranch;

         /* calculate how branching would affect the row parameters */
         changedrowmean = rowmean + rowval * (meanup - currentmean);
         changedrowvariance = rowvariance + squaredcoeff * (squaredbounddiffup - squaredbounddiff);
         changedrowvariance = MAX(0.0, changedrowvariance);

         rowinftiesdownafterbranch = rowinfinitiesdown;
         rowinftiesupafterbranch = rowinfinitiesup;

         /* account for changes of the row's infinite bound contributions */
         if( SCIPisInfinity(scip, -varlb) && rowval < 0.0 )
            rowinftiesupafterbranch--;
         if( SCIPisInfinity(scip, -varlb) && rowval > 0.0 )
            rowinftiesdownafterbranch--;

         assert(rowinftiesupafterbranch >= 0);
         assert(rowinftiesdownafterbranch >= 0);
         newrowprobup = SCIProwCalcProbability(scip, row, changedrowmean, changedrowvariance, rowinftiesdownafterbranch,
               rowinftiesupafterbranch);
      }
      else
         newrowprobup = currentrowprob;

      /* do the same for the other branching direction */
      if( !SCIPisInfinity(scip, varlb) )
      {
         int rowinftiesdownafterbranch;
         int rowinftiesupafterbranch;

         changedrowmean = rowmean + rowval * (meandown - currentmean);
         changedrowvariance = rowvariance + squaredcoeff * (squaredbounddiffdown - squaredbounddiff);
         changedrowvariance = MAX(0.0, changedrowvariance);

         rowinftiesdownafterbranch = rowinfinitiesdown;
         rowinftiesupafterbranch = rowinfinitiesup;

         /* account for changes of the row's infinite bound contributions */
         if( SCIPisInfinity(scip, varub) && rowval > 0.0 )
            rowinftiesupafterbranch -= 1;
         if( SCIPisInfinity(scip, varub) && rowval < 0.0 )
            rowinftiesdownafterbranch -= 1;

         assert(rowinftiesdownafterbranch >= 0);
         assert(rowinftiesupafterbranch >= 0);
         newrowprobdown = SCIProwCalcProbability(scip, row, changedrowmean, changedrowvariance, rowinftiesdownafterbranch,
               rowinftiesupafterbranch);
      }
      else
         newrowprobdown = currentrowprob;

      /* update the up and down score depending on the chosen scoring parameter */
      SCIP_CALL( SCIPupdateDistributionScore(scip, currentrowprob, newrowprobup, newrowprobdown, upscore, downscore, scoreparam) );

      SCIPdebugMessage("  Variable %s changes probability of row %s from %g to %g (branch up) or %g;\n",
         SCIPvarGetName(var), SCIProwGetName(row), currentrowprob, newrowprobup, newrowprobdown);
      SCIPdebugMessage("  -->  new variable score: %g (for branching up), %g (for branching down)\n",
         *upscore, *downscore);
   }

   return SCIP_OKAY;
}
/** update row activities after a variable's solution value changed */
static
SCIP_RETCODE updateActivities(
   SCIP*                 scip,               /**< SCIP data structure */
   SCIP_Real*            activities,         /**< LP row activities */
   SCIP_ROW**            violrows,           /**< array with currently violated rows */
   int*                  violrowpos,         /**< position of LP rows in violrows array */
   int*                  nviolrows,          /**< pointer to the number of currently violated rows */
   int                   nlprows,            /**< number of rows in current LP */
   SCIP_VAR*             var,                /**< variable that has been changed */
   SCIP_Real             oldsolval,          /**< old solution value of variable */
   SCIP_Real             newsolval           /**< new solution value of variable */
   )
{
   SCIP_COL* col;
   SCIP_ROW** colrows;
   SCIP_Real* colvals;
   SCIP_Real delta;
   int ncolrows;
   int r;

   assert(activities != NULL);
   assert(nviolrows != NULL);
   assert(0 <= *nviolrows && *nviolrows <= nlprows);

   delta = newsolval - oldsolval;
   col = SCIPvarGetCol(var);
   colrows = SCIPcolGetRows(col);
   colvals = SCIPcolGetVals(col);
   ncolrows = SCIPcolGetNLPNonz(col);
   assert(ncolrows == 0 || (colrows != NULL && colvals != NULL));

   for( r = 0; r < ncolrows; ++r )
   {
      SCIP_ROW* row;
      int rowpos;

      row = colrows[r];
      rowpos = SCIProwGetLPPos(row);
      assert(-1 <= rowpos && rowpos < nlprows);

      if( rowpos >= 0 && !SCIProwIsLocal(row) )
      {
         SCIP_Real oldactivity;
         SCIP_Real newactivity;

         assert(SCIProwIsInLP(row));

         /* update row activity */
         oldactivity = activities[rowpos];
         if( !SCIPisInfinity(scip, -oldactivity) && !SCIPisInfinity(scip, oldactivity) )
         {
            newactivity = oldactivity + delta * colvals[r];
            if( SCIPisInfinity(scip, newactivity) )
               newactivity = SCIPinfinity(scip);
            else if( SCIPisInfinity(scip, -newactivity) )
               newactivity = -SCIPinfinity(scip);
            activities[rowpos] = newactivity;

            /* update row violation arrays */
            updateViolations(scip, row, violrows, violrowpos, nviolrows, oldactivity, newactivity);
         }
      }
   }

   return SCIP_OKAY;
}