static
void calcPscostQuot(
SCIP* scip, /**< SCIP data structure */
SCIP_VAR* var, /**< problem variable */
SCIP_Real primsol, /**< primal solution of variable */
SCIP_Real frac, /**< fractionality of variable */
int rounddir, /**< -1: round down, +1: round up, 0: select due to pseudo cost values */
SCIP_Real* pscostquot, /**< pointer to store pseudo cost quotient */
SCIP_Bool* roundup /**< pointer to store whether the variable should be rounded up */
)
{
SCIP_Real pscostdown;
SCIP_Real pscostup;
assert(pscostquot != NULL);
assert(roundup != NULL);
/* bound fractions to not prefer variables that are nearly integral */
frac = MAX(frac, 0.1);
frac = MIN(frac, 0.9);
/* get pseudo cost quotient */
pscostdown = SCIPgetVarPseudocostVal(scip, var, 0.0-frac);
pscostup = SCIPgetVarPseudocostVal(scip, var, 1.0-frac);
assert(pscostdown >= 0.0 && pscostup >= 0.0);
/* choose rounding direction */
if( rounddir == -1 )
*roundup = FALSE;
else if( rounddir == +1 )
*roundup = TRUE;
else if( frac < 0.3 )
*roundup = FALSE;
else if( frac > 0.7 )
*roundup = TRUE;
else if( primsol < SCIPvarGetRootSol(var) - 0.4 )
*roundup = FALSE;
else if( primsol > SCIPvarGetRootSol(var) + 0.4 )
*roundup = TRUE;
else if( pscostdown < pscostup )
*roundup = FALSE;
else
*roundup = TRUE;
/* calculate pseudo cost quotient */
if( *roundup )
*pscostquot = sqrt(frac) * (1.0+pscostdown) / (1.0+pscostup);
else
*pscostquot = sqrt(1.0-frac) * (1.0+pscostup) / (1.0+pscostdown);
/* prefer decisions on binary variables */
if( SCIPvarIsBinary(var) )
(*pscostquot) *= 1000.0;
}
/** branching execution method for fractional LP solutions */
static
SCIP_DECL_BRANCHEXECLP(branchExeclpPscost)
{ /*lint --e{715}*/
SCIP_VAR** lpcands;
SCIP_Real* lpcandssol;
SCIP_Real bestscore;
SCIP_Real bestrootdiff;
int nlpcands;
int bestcand;
int c;
assert(branchrule != NULL);
assert(strcmp(SCIPbranchruleGetName(branchrule), BRANCHRULE_NAME) == 0);
assert(scip != NULL);
assert(result != NULL);
SCIPdebugMessage("Execlp method of pscost branching\n");
/* get branching candidates */
SCIP_CALL( SCIPgetLPBranchCands(scip, &lpcands, &lpcandssol, NULL, NULL, &nlpcands, NULL) );
assert(nlpcands > 0);
bestcand = -1;
bestscore = -SCIPinfinity(scip);
bestrootdiff = 0.0;
for( c = 0; c < nlpcands; ++c )
{
SCIP_Real score;
SCIP_Real rootsolval;
SCIP_Real rootdiff;
score = SCIPgetVarPseudocostScore(scip, lpcands[c], lpcandssol[c]);
rootsolval = SCIPvarGetRootSol(lpcands[c]);
rootdiff = REALABS(lpcandssol[c] - rootsolval);
if( SCIPisSumGT(scip, score, bestscore) || (SCIPisSumEQ(scip, score, bestscore) && rootdiff > bestrootdiff) )
{
bestcand = c;
bestscore = score;
bestrootdiff = rootdiff;
}
}
assert(0 <= bestcand && bestcand < nlpcands);
assert(!SCIPisFeasIntegral(scip, lpcandssol[bestcand]));
/* perform the branching */
SCIPdebugMessage(" -> %d cands, selected cand %d: variable <%s> (solval=%g, score=%g)\n",
nlpcands, bestcand, SCIPvarGetName(lpcands[bestcand]), lpcandssol[bestcand], bestscore);
/* perform the branching */
SCIP_CALL( SCIPbranchVar(scip, lpcands[bestcand], NULL, NULL, NULL) );
*result = SCIP_BRANCHED;
return SCIP_OKAY;
}
/** generates the direction of the shooting ray as the difference between the root and the current LP solution */
static
SCIP_RETCODE generateDifferenceRay(
SCIP* scip, /**< SCIP data structure */
SCIP_Real* raydirection, /**< shooting ray */
SCIP_VAR** subspacevars, /**< pointer to fractional space variables */
int nsubspacevars /**< dimension of fractional space */
)
{
int v;
assert(scip != NULL);
assert(raydirection != NULL);
assert(subspacevars != NULL);
for( v = nsubspacevars - 1; v >= 0; --v )
raydirection[v] = SCIPvarGetLPSol(subspacevars[v]) - SCIPvarGetRootSol(subspacevars[v]);
return SCIP_OKAY;
}
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecLinesearchdiving)
{ /*lint --e{715}*/
SCIP_HEURDATA* heurdata;
SCIP_LPSOLSTAT lpsolstat;
SCIP_VAR* var;
SCIP_VAR** lpcands;
SCIP_Real* lpcandssol;
SCIP_Real* lpcandsfrac;
SCIP_Real searchubbound;
SCIP_Real searchavgbound;
SCIP_Real searchbound;
SCIP_Real objval;
SCIP_Real oldobjval;
SCIP_Real solval;
SCIP_Real rootsolval;
SCIP_Real distquot;
SCIP_Real bestdistquot;
SCIP_Bool roundup;
SCIP_Bool bestcandroundup;
SCIP_Bool lperror;
SCIP_Bool cutoff;
SCIP_Bool backtracked;
SCIP_Bool success;
SCIP_Longint ncalls;
SCIP_Longint nsolsfound;
SCIP_Longint nlpiterations;
SCIP_Longint maxnlpiterations;
int nlpcands;
int startnlpcands;
int depth;
int maxdepth;
int maxdivedepth;
int divedepth;
int bestcand;
int c;
assert(heur != NULL);
assert(scip != NULL);
assert(result != NULL);
assert(SCIPhasCurrentNodeLP(scip));
*result = SCIP_DELAYED;
/* 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;
/* only call heuristic, if the LP solution is basic (which allows fast resolve in diving) */
if( !SCIPisLPSolBasic(scip) )
return SCIP_OKAY;
/* don't dive two times at the same node */
if( SCIPgetLastDivenode(scip) == SCIPgetNNodes(scip) && SCIPgetDepth(scip) > 0 )
return SCIP_OKAY;
*result = SCIP_DIDNOTRUN;
/* get heuristic's data */
heurdata = SCIPheurGetData(heur);
assert(heurdata != NULL);
/* only try to dive, if we are in the correct part of the tree, given by minreldepth and maxreldepth */
depth = SCIPgetDepth(scip);
maxdepth = SCIPgetMaxDepth(scip);
maxdepth = MAX(maxdepth, 30);
if( depth < heurdata->minreldepth*maxdepth || depth > heurdata->maxreldepth*maxdepth )
return SCIP_OKAY;
/* calculate the maximal number of LP iterations until heuristic is aborted */
nlpiterations = SCIPgetNNodeLPIterations(scip);
ncalls = SCIPheurGetNCalls(heur);
nsolsfound = 10*SCIPheurGetNBestSolsFound(heur) + heurdata->nsuccess;
maxnlpiterations = (SCIP_Longint)((1.0 + 10.0*(nsolsfound+1.0)/(ncalls+1.0)) * heurdata->maxlpiterquot * nlpiterations);
maxnlpiterations += heurdata->maxlpiterofs;
/* don't try to dive, if we took too many LP iterations during diving */
if( heurdata->nlpiterations >= maxnlpiterations )
return SCIP_OKAY;
/* allow at least a certain number of LP iterations in this dive */
maxnlpiterations = MAX(maxnlpiterations, heurdata->nlpiterations + MINLPITER);
/* get fractional variables that should be integral */
SCIP_CALL( SCIPgetLPBranchCands(scip, &lpcands, &lpcandssol, &lpcandsfrac, &nlpcands, NULL, NULL) );
/* don't try to dive, if there are no fractional variables */
if( nlpcands == 0 )
return SCIP_OKAY;
/* calculate the objective search bound */
if( SCIPgetNSolsFound(scip) == 0 )
{
if( heurdata->maxdiveubquotnosol > 0.0 )
searchubbound = SCIPgetLowerbound(scip)
+ heurdata->maxdiveubquotnosol * (SCIPgetCutoffbound(scip) - SCIPgetLowerbound(scip));
else
searchubbound = SCIPinfinity(scip);
if( heurdata->maxdiveavgquotnosol > 0.0 )
searchavgbound = SCIPgetLowerbound(scip)
+ heurdata->maxdiveavgquotnosol * (SCIPgetAvgLowerbound(scip) - SCIPgetLowerbound(scip));
else
searchavgbound = SCIPinfinity(scip);
}
else
{
if( heurdata->maxdiveubquot > 0.0 )
searchubbound = SCIPgetLowerbound(scip)
+ heurdata->maxdiveubquot * (SCIPgetCutoffbound(scip) - SCIPgetLowerbound(scip));
else
searchubbound = SCIPinfinity(scip);
if( heurdata->maxdiveavgquot > 0.0 )
searchavgbound = SCIPgetLowerbound(scip)
+ heurdata->maxdiveavgquot * (SCIPgetAvgLowerbound(scip) - SCIPgetLowerbound(scip));
else
searchavgbound = SCIPinfinity(scip);
}
searchbound = MIN(searchubbound, searchavgbound);
if( SCIPisObjIntegral(scip) )
searchbound = SCIPceil(scip, searchbound);
/* calculate the maximal diving depth: 10 * min{number of integer variables, max depth} */
maxdivedepth = SCIPgetNBinVars(scip) + SCIPgetNIntVars(scip);
maxdivedepth = MIN(maxdivedepth, maxdepth);
maxdivedepth *= 10;
*result = SCIP_DIDNOTFIND;
/* start diving */
SCIP_CALL( SCIPstartProbing(scip) );
/* enables collection of variable statistics during probing */
SCIPenableVarHistory(scip);
/* get LP objective value */
lpsolstat = SCIP_LPSOLSTAT_OPTIMAL;
objval = SCIPgetLPObjval(scip);
SCIPdebugMessage("(node %"SCIP_LONGINT_FORMAT") executing linesearchdiving heuristic: depth=%d, %d fractionals, dualbound=%g, searchbound=%g\n",
SCIPgetNNodes(scip), SCIPgetDepth(scip), nlpcands, SCIPgetDualbound(scip), SCIPretransformObj(scip, searchbound));
/* dive as long we are in the given objective, depth and iteration limits and fractional variables exist, but
* - if possible, we dive at least with the depth 10
* - if the number of fractional variables decreased at least with 1 variable per 2 dive depths, we continue diving
*/
lperror = FALSE;
cutoff = FALSE;
divedepth = 0;
startnlpcands = nlpcands;
while( !lperror && !cutoff && lpsolstat == SCIP_LPSOLSTAT_OPTIMAL && nlpcands > 0
&& (divedepth < 10
|| nlpcands <= startnlpcands - divedepth/2
|| (divedepth < maxdivedepth && heurdata->nlpiterations < maxnlpiterations && objval < searchbound))
&& !SCIPisStopped(scip) )
{
SCIP_CALL( SCIPnewProbingNode(scip) );
divedepth++;
/* choose variable fixing:
* - in the projected space of fractional variables, extend the line segment connecting the root solution and
* the current LP solution up to the point, where one of the fractional variables becomes integral
* - round this variable to the integral value
*/
bestcand = 0;
bestdistquot = SCIPinfinity(scip);
bestcandroundup = FALSE;
for( c = 0; c < nlpcands; ++c )
{
var = lpcands[c];
solval = lpcandssol[c];
rootsolval = SCIPvarGetRootSol(var);
/* calculate distance to integral value divided by distance to root solution */
if( SCIPisLT(scip, solval, rootsolval) )
{
roundup = FALSE;
distquot = (solval - SCIPfeasFloor(scip, solval)) / (rootsolval - solval);
/* avoid roundable candidates */
if( SCIPvarMayRoundDown(var) )
distquot *= 1000.0;
}
else if( SCIPisGT(scip, solval, rootsolval) )
{
roundup = TRUE;
distquot = (SCIPfeasCeil(scip, solval) - solval) / (solval - rootsolval);
/* avoid roundable candidates */
if( SCIPvarMayRoundUp(var) )
distquot *= 1000.0;
}
else
{
roundup = FALSE;
distquot = SCIPinfinity(scip);
}
/* check, if candidate is new best candidate */
if( distquot < bestdistquot )
{
bestcand = c;
bestcandroundup = roundup;
bestdistquot = distquot;
}
}
/* create solution from diving LP and try to round it */
SCIP_CALL( SCIPlinkLPSol(scip, heurdata->sol) );
SCIP_CALL( SCIProundSol(scip, heurdata->sol, &success) );
if( success )
{
SCIPdebugMessage("linesearchdiving found roundable primal solution: obj=%g\n",
SCIPgetSolOrigObj(scip, heurdata->sol));
/* try to add solution to SCIP */
SCIP_CALL( SCIPtrySol(scip, heurdata->sol, FALSE, FALSE, FALSE, FALSE, &success) );
/* check, if solution was feasible and good enough */
if( success )
{
SCIPdebugMessage(" -> solution was feasible and good enough\n");
*result = SCIP_FOUNDSOL;
}
}
/* apply rounding of best candidate */
var = lpcands[bestcand];
backtracked = FALSE;
do
{
/* if the variable is already fixed or if the solution value is outside the domain, numerical troubles may have
* occured or variable was fixed by propagation while backtracking => Abort diving!
*/
if( SCIPvarGetLbLocal(var) >= SCIPvarGetUbLocal(var) - 0.5 )
{
SCIPdebugMessage("selected variable <%s> already fixed to [%g,%g] (solval: %.9f), diving aborted \n",
SCIPvarGetName(var), SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var), lpcandssol[bestcand]);
cutoff = TRUE;
break;
}
if( SCIPisFeasLT(scip, lpcandssol[bestcand], SCIPvarGetLbLocal(var)) || SCIPisFeasGT(scip, lpcandssol[bestcand], SCIPvarGetUbLocal(var)) )
{
SCIPdebugMessage("selected variable's <%s> solution value is outside the domain [%g,%g] (solval: %.9f), diving aborted\n",
SCIPvarGetName(var), SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var), lpcandssol[bestcand]);
assert(backtracked);
break;
}
/* apply rounding of best candidate */
if( bestcandroundup == !backtracked )
{
/* round variable up */
SCIPdebugMessage(" dive %d/%d, LP iter %"SCIP_LONGINT_FORMAT"/%"SCIP_LONGINT_FORMAT": var <%s>, sol=%g, root=%g, [%g,%g] -> [%g,%g]\n",
divedepth, maxdivedepth, heurdata->nlpiterations, maxnlpiterations,
SCIPvarGetName(var), lpcandssol[bestcand], SCIPvarGetRootSol(var),
SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var),
SCIPfeasCeil(scip, lpcandssol[bestcand]), SCIPvarGetUbLocal(var));
SCIP_CALL( SCIPchgVarLbProbing(scip, var, SCIPfeasCeil(scip, lpcandssol[bestcand])) );
}
else
{
/* round variable down */
SCIPdebugMessage(" dive %d/%d, LP iter %"SCIP_LONGINT_FORMAT"/%"SCIP_LONGINT_FORMAT": var <%s>, sol=%g, root=%g, [%g,%g] -> [%g,%g]\n",
divedepth, maxdivedepth, heurdata->nlpiterations, maxnlpiterations,
SCIPvarGetName(var), lpcandssol[bestcand], SCIPvarGetRootSol(var),
SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var),
SCIPvarGetLbLocal(var), SCIPfeasFloor(scip, lpcandssol[bestcand]));
SCIP_CALL( SCIPchgVarUbProbing(scip, var, SCIPfeasFloor(scip, lpcandssol[bestcand])) );
}
/* apply domain propagation */
SCIP_CALL( SCIPpropagateProbing(scip, 0, &cutoff, NULL) );
if( !cutoff )
{
/* resolve the diving LP */
/* Errors in the LP solver should not kill the overall solving process, if the LP is just needed for a heuristic.
* Hence in optimized mode, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
*/
#ifdef NDEBUG
SCIP_RETCODE retstat;
nlpiterations = SCIPgetNLPIterations(scip);
retstat = SCIPsolveProbingLP(scip, MAX((int)(maxnlpiterations - heurdata->nlpiterations), MINLPITER), &lperror, &cutoff);
if( retstat != SCIP_OKAY )
{
SCIPwarningMessage(scip, "Error while solving LP in Linesearchdiving heuristic; LP solve terminated with code <%d>\n",retstat);
}
#else
nlpiterations = SCIPgetNLPIterations(scip);
SCIP_CALL( SCIPsolveProbingLP(scip, MAX((int)(maxnlpiterations - heurdata->nlpiterations), MINLPITER), &lperror, &cutoff) );
#endif
if( lperror )
break;
/* update iteration count */
heurdata->nlpiterations += SCIPgetNLPIterations(scip) - nlpiterations;
/* get LP solution status, objective value, and fractional variables, that should be integral */
lpsolstat = SCIPgetLPSolstat(scip);
assert(cutoff || (lpsolstat != SCIP_LPSOLSTAT_OBJLIMIT && lpsolstat != SCIP_LPSOLSTAT_INFEASIBLE &&
(lpsolstat != SCIP_LPSOLSTAT_OPTIMAL || SCIPisLT(scip, SCIPgetLPObjval(scip), SCIPgetCutoffbound(scip)))));
}
/* perform backtracking if a cutoff was detected */
if( cutoff && !backtracked && heurdata->backtrack )
{
SCIPdebugMessage(" *** cutoff detected at level %d - backtracking\n", SCIPgetProbingDepth(scip));
SCIP_CALL( SCIPbacktrackProbing(scip, SCIPgetProbingDepth(scip)-1) );
SCIP_CALL( SCIPnewProbingNode(scip) );
backtracked = TRUE;
}
else
backtracked = FALSE;
}
while( backtracked );
if( !lperror && !cutoff && lpsolstat == SCIP_LPSOLSTAT_OPTIMAL )
{
/* get new objective value */
oldobjval = objval;
objval = SCIPgetLPObjval(scip);
/* update pseudo cost values */
if( SCIPisGT(scip, objval, oldobjval) )
{
if( bestcandroundup )
{
SCIP_CALL( SCIPupdateVarPseudocost(scip, lpcands[bestcand], 1.0-lpcandsfrac[bestcand],
objval - oldobjval, 1.0) );
}
else
{
SCIP_CALL( SCIPupdateVarPseudocost(scip, lpcands[bestcand], 0.0-lpcandsfrac[bestcand],
objval - oldobjval, 1.0) );
}
}
/* get new fractional variables */
SCIP_CALL( SCIPgetLPBranchCands(scip, &lpcands, &lpcandssol, &lpcandsfrac, &nlpcands, NULL, NULL) );
}
SCIPdebugMessage(" -> lpsolstat=%d, objval=%g, nfrac=%d\n", lpsolstat, objval, nlpcands);
}
/* check if a solution has been found */
if( nlpcands == 0 && !lperror && !cutoff && lpsolstat == SCIP_LPSOLSTAT_OPTIMAL )
{
/* create solution from diving LP */
SCIP_CALL( SCIPlinkLPSol(scip, heurdata->sol) );
SCIPdebugMessage("linesearchdiving found primal solution: obj=%g\n", SCIPgetSolOrigObj(scip, heurdata->sol));
/* try to add solution to SCIP */
SCIP_CALL( SCIPtrySol(scip, heurdata->sol, FALSE, FALSE, FALSE, FALSE, &success) );
/* check, if solution was feasible and good enough */
if( success )
{
SCIPdebugMessage(" -> solution was feasible and good enough\n");
*result = SCIP_FOUNDSOL;
}
}
/* end diving */
SCIP_CALL( SCIPendProbing(scip) );
if( *result == SCIP_FOUNDSOL )
heurdata->nsuccess++;
SCIPdebugMessage("linesearchdiving heuristic finished\n");
return SCIP_OKAY;
}
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecRootsoldiving) /*lint --e{715}*/
{ /*lint --e{715}*/
SCIP_HEURDATA* heurdata;
SCIP_VAR** vars;
SCIP_Real* rootsol;
SCIP_Real* objchgvals;
int* softroundings;
int* intvalrounds;
int nvars;
int nbinvars;
int nintvars;
int nlpcands;
SCIP_LPSOLSTAT lpsolstat;
SCIP_Real absstartobjval;
SCIP_Real objstep;
SCIP_Real alpha;
SCIP_Real oldobj;
SCIP_Real newobj;
SCIP_Bool lperror;
SCIP_Bool lpsolchanged;
SCIP_Longint nsolsfound;
SCIP_Longint ncalls;
SCIP_Longint nlpiterations;
SCIP_Longint maxnlpiterations;
int depth;
int maxdepth;
int maxdivedepth;
int divedepth;
int startnlpcands;
int ncycles;
int i;
assert(heur != NULL);
assert(strcmp(SCIPheurGetName(heur), HEUR_NAME) == 0);
assert(scip != NULL);
assert(result != NULL);
assert(SCIPhasCurrentNodeLP(scip));
*result = SCIP_DELAYED;
/* 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 solution is basic (which allows fast resolve in diving) */
if( !SCIPisLPSolBasic(scip) )
return SCIP_OKAY;
/* don't dive two times at the same node */
if( SCIPgetLastDivenode(scip) == SCIPgetNNodes(scip) && SCIPgetDepth(scip) > 0 )
return SCIP_OKAY;
*result = SCIP_DIDNOTRUN;
/* get heuristic's data */
heurdata = SCIPheurGetData(heur);
assert(heurdata != NULL);
/* only apply heuristic, if only a few solutions have been found */
if( heurdata->maxsols >= 0 && SCIPgetNSolsFound(scip) >= heurdata->maxsols )
return SCIP_OKAY;
/* only try to dive, if we are in the correct part of the tree, given by minreldepth and maxreldepth */
depth = SCIPgetDepth(scip);
maxdepth = SCIPgetMaxDepth(scip);
maxdepth = MAX(maxdepth, 30);
if( depth < heurdata->minreldepth*maxdepth || depth > heurdata->maxreldepth*maxdepth )
return SCIP_OKAY;
/* calculate the maximal number of LP iterations until heuristic is aborted */
nlpiterations = SCIPgetNNodeLPIterations(scip);
ncalls = SCIPheurGetNCalls(heur);
nsolsfound = 10*SCIPheurGetNBestSolsFound(heur) + heurdata->nsuccess;
maxnlpiterations = (SCIP_Longint)((1.0 + 10.0*(nsolsfound+1.0)/(ncalls+1.0)) * heurdata->maxlpiterquot * nlpiterations);
maxnlpiterations += heurdata->maxlpiterofs;
/* don't try to dive, if we took too many LP iterations during diving */
if( heurdata->nlpiterations >= maxnlpiterations )
return SCIP_OKAY;
/* allow at least a certain number of LP iterations in this dive */
maxnlpiterations = MAX(maxnlpiterations, heurdata->nlpiterations + MINLPITER);
/* get number of fractional variables, that should be integral */
nlpcands = SCIPgetNLPBranchCands(scip);
/* don't try to dive, if there are no fractional variables */
if( nlpcands == 0 )
return SCIP_OKAY;
/* calculate the maximal diving depth */
nvars = SCIPgetNBinVars(scip) + SCIPgetNIntVars(scip);
if( SCIPgetNSolsFound(scip) == 0 )
maxdivedepth = (int)(heurdata->depthfacnosol * nvars);
else
maxdivedepth = (int)(heurdata->depthfac * nvars);
maxdivedepth = MAX(maxdivedepth, 10);
*result = SCIP_DIDNOTFIND;
/* get all variables of LP */
SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, &nbinvars, &nintvars, NULL, NULL) );
/* get root solution value of all binary and integer variables */
SCIP_CALL( SCIPallocBufferArray(scip, &rootsol, nbinvars + nintvars) );
for( i = 0; i < nbinvars + nintvars; i++ )
rootsol[i] = SCIPvarGetRootSol(vars[i]);
/* get current LP objective value, and calculate length of a single step in an objective coefficient */
absstartobjval = SCIPgetLPObjval(scip);
absstartobjval = ABS(absstartobjval);
absstartobjval = MAX(absstartobjval, 1.0);
objstep = absstartobjval / 10.0;
/* initialize array storing the preferred soft rounding directions and counting the integral value rounds */
SCIP_CALL( SCIPallocBufferArray(scip, &softroundings, nbinvars + nintvars) );
BMSclearMemoryArray(softroundings, nbinvars + nintvars);
SCIP_CALL( SCIPallocBufferArray(scip, &intvalrounds, nbinvars + nintvars) );
BMSclearMemoryArray(intvalrounds, nbinvars + nintvars);
/* allocate temporary memory for buffering objective changes */
SCIP_CALL( SCIPallocBufferArray(scip, &objchgvals, nbinvars + nintvars) );
/* start diving */
SCIP_CALL( SCIPstartDive(scip) );
SCIPdebugMessage("(node %"SCIP_LONGINT_FORMAT") executing rootsoldiving heuristic: depth=%d, %d fractionals, dualbound=%g, maxnlpiterations=%"SCIP_LONGINT_FORMAT", maxdivedepth=%d, LPobj=%g, objstep=%g\n",
SCIPgetNNodes(scip), SCIPgetDepth(scip), nlpcands, SCIPgetDualbound(scip), maxnlpiterations, maxdivedepth,
SCIPgetLPObjval(scip), objstep);
lperror = FALSE;
divedepth = 0;
lpsolstat = SCIP_LPSOLSTAT_OPTIMAL;
alpha = heurdata->alpha;
ncycles = 0;
lpsolchanged = TRUE;
startnlpcands = nlpcands;
while( !lperror && lpsolstat == SCIP_LPSOLSTAT_OPTIMAL && nlpcands > 0 && ncycles < 10
&& (divedepth < 10
|| nlpcands <= startnlpcands - divedepth/2
|| (divedepth < maxdivedepth && heurdata->nlpiterations < maxnlpiterations))
&& !SCIPisStopped(scip) )
{
SCIP_Bool success;
int hardroundingidx;
int hardroundingdir;
SCIP_Real hardroundingoldbd;
SCIP_Real hardroundingnewbd;
SCIP_Bool boundschanged;
SCIP_RETCODE retcode;
/* create solution from diving LP and try to round it */
SCIP_CALL( SCIPlinkLPSol(scip, heurdata->sol) );
SCIP_CALL( SCIProundSol(scip, heurdata->sol, &success) );
if( success )
{
SCIPdebugMessage("rootsoldiving found roundable primal solution: obj=%g\n", SCIPgetSolOrigObj(scip, heurdata->sol));
/* try to add solution to SCIP */
SCIP_CALL( SCIPtrySol(scip, heurdata->sol, FALSE, FALSE, FALSE, FALSE, &success) );
/* check, if solution was feasible and good enough */
if( success )
{
SCIPdebugMessage(" -> solution was feasible and good enough\n");
*result = SCIP_FOUNDSOL;
}
}
divedepth++;
hardroundingidx = -1;
hardroundingdir = 0;
hardroundingoldbd = 0.0;
hardroundingnewbd = 0.0;
boundschanged = FALSE;
SCIPdebugMessage("dive %d/%d, LP iter %"SCIP_LONGINT_FORMAT"/%"SCIP_LONGINT_FORMAT":\n", divedepth, maxdivedepth, heurdata->nlpiterations, maxnlpiterations);
/* round solution x* from diving LP:
* - x~_j = down(x*_j) if x*_j is integer or binary variable and x*_j <= root solution_j
* - x~_j = up(x*_j) if x*_j is integer or binary variable and x*_j > root solution_j
* - x~_j = x*_j if x*_j is continuous variable
* change objective function in diving LP:
* - if x*_j is integral, or j is a continuous variable, set obj'_j = alpha * obj_j
* - otherwise, set obj'_j = alpha * obj_j + sign(x*_j - x~_j)
*/
for( i = 0; i < nbinvars + nintvars; i++ )
{
SCIP_VAR* var;
SCIP_Real solval;
var = vars[i];
oldobj = SCIPgetVarObjDive(scip, var);
newobj = oldobj;
solval = SCIPvarGetLPSol(var);
if( SCIPisFeasIntegral(scip, solval) )
{
/* if the variable became integral after a soft rounding, count the rounds; after a while, fix it to its
* current integral value;
* otherwise, fade out the objective value
*/
if( softroundings[i] != 0 && lpsolchanged )
{
intvalrounds[i]++;
if( intvalrounds[i] == 5 && SCIPgetVarLbDive(scip, var) < SCIPgetVarUbDive(scip, var) - 0.5 )
{
/* use exact integral value, if the variable is only integral within numerical tolerances */
solval = SCIPfloor(scip, solval+0.5);
SCIPdebugMessage(" -> fixing <%s> = %g\n", SCIPvarGetName(var), solval);
SCIP_CALL( SCIPchgVarLbDive(scip, var, solval) );
SCIP_CALL( SCIPchgVarUbDive(scip, var, solval) );
boundschanged = TRUE;
}
}
else
newobj = alpha * oldobj;
}
else if( solval <= rootsol[i] )
{
/* if the variable was soft rounded most of the time downwards, round it downwards by changing the bounds;
* otherwise, apply soft rounding by changing the objective value
*/
softroundings[i]--;
if( softroundings[i] <= -10 && hardroundingidx == -1 )
{
SCIPdebugMessage(" -> hard rounding <%s>[%g] <= %g\n",
SCIPvarGetName(var), solval, SCIPfeasFloor(scip, solval));
hardroundingidx = i;
hardroundingdir = -1;
hardroundingoldbd = SCIPgetVarUbDive(scip, var);
hardroundingnewbd = SCIPfeasFloor(scip, solval);
SCIP_CALL( SCIPchgVarUbDive(scip, var, hardroundingnewbd) );
boundschanged = TRUE;
}
else
newobj = alpha * oldobj + objstep;
}
else
{
/* if the variable was soft rounded most of the time upwards, round it upwards by changing the bounds;
* otherwise, apply soft rounding by changing the objective value
*/
softroundings[i]++;
if( softroundings[i] >= +10 && hardroundingidx == -1 )
{
SCIPdebugMessage(" -> hard rounding <%s>[%g] >= %g\n",
SCIPvarGetName(var), solval, SCIPfeasCeil(scip, solval));
hardroundingidx = i;
hardroundingdir = +1;
hardroundingoldbd = SCIPgetVarLbDive(scip, var);
hardroundingnewbd = SCIPfeasCeil(scip, solval);
SCIP_CALL( SCIPchgVarLbDive(scip, var, hardroundingnewbd) );
boundschanged = TRUE;
}
else
newobj = alpha * oldobj - objstep;
}
/* remember the objective change */
objchgvals[i] = newobj;
}
/* apply objective changes if there was no bound change */
if( !boundschanged )
{
/* apply cached changes on integer variables */
for( i = 0; i < nbinvars + nintvars; ++i )
{
SCIP_VAR* var;
var = vars[i];
SCIPdebugMessage(" -> i=%d var <%s>, solval=%g, rootsol=%g, oldobj=%g, newobj=%g\n",
i, SCIPvarGetName(var), SCIPvarGetLPSol(var), rootsol[i], SCIPgetVarObjDive(scip, var), objchgvals[i]);
SCIP_CALL( SCIPchgVarObjDive(scip, var, objchgvals[i]) );
}
/* fade out the objective values of the continuous variables */
for( i = nbinvars + nintvars; i < nvars; i++ )
{
SCIP_VAR* var;
var = vars[i];
oldobj = SCIPgetVarObjDive(scip, var);
newobj = alpha * oldobj;
SCIPdebugMessage(" -> i=%d var <%s>, solval=%g, oldobj=%g, newobj=%g\n",
i, SCIPvarGetName(var), SCIPvarGetLPSol(var), oldobj, newobj);
SCIP_CALL( SCIPchgVarObjDive(scip, var, newobj) );
}
}
SOLVEAGAIN:
/* resolve the diving LP */
nlpiterations = SCIPgetNLPIterations(scip);
retcode = SCIPsolveDiveLP(scip, MAX((int)(maxnlpiterations - heurdata->nlpiterations), MINLPITER), &lperror);
lpsolstat = SCIPgetLPSolstat(scip);
/* Errors in the LP solver should not kill the overall solving process, if the LP is just needed for a heuristic.
* Hence in optimized mode, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
*/
if( retcode != SCIP_OKAY )
{
#ifndef NDEBUG
if( lpsolstat != SCIP_LPSOLSTAT_UNBOUNDEDRAY )
{
SCIP_CALL( retcode );
}
#endif
SCIPwarningMessage(scip, "Error while solving LP in Rootsoldiving heuristic; LP solve terminated with code <%d>\n", retcode);
SCIPwarningMessage(scip, "This does not affect the remaining solution procedure --> continue\n");
}
if( lperror )
break;
/* update iteration count */
heurdata->nlpiterations += SCIPgetNLPIterations(scip) - nlpiterations;
/* if no LP iterations were performed, we stayed at the same solution -> count this cycling */
lpsolchanged = (SCIPgetNLPIterations(scip) != nlpiterations);
if( lpsolchanged )
ncycles = 0;
else if( !boundschanged ) /* do not count if integral variables have been fixed */
ncycles++;
/* get LP solution status and number of fractional variables, that should be integral */
if( lpsolstat == SCIP_LPSOLSTAT_INFEASIBLE && hardroundingidx != -1 )
{
SCIP_VAR* var;
var = vars[hardroundingidx];
/* round the hard rounded variable to the opposite direction and resolve the LP */
if( hardroundingdir == -1 )
{
SCIPdebugMessage(" -> opposite hard rounding <%s> >= %g\n", SCIPvarGetName(var), hardroundingnewbd + 1.0);
SCIP_CALL( SCIPchgVarUbDive(scip, var, hardroundingoldbd) );
SCIP_CALL( SCIPchgVarLbDive(scip, var, hardroundingnewbd + 1.0) );
}
else
{
SCIPdebugMessage(" -> opposite hard rounding <%s> <= %g\n", SCIPvarGetName(var), hardroundingnewbd - 1.0);
SCIP_CALL( SCIPchgVarLbDive(scip, var, hardroundingoldbd) );
SCIP_CALL( SCIPchgVarUbDive(scip, var, hardroundingnewbd - 1.0) );
}
hardroundingidx = -1;
goto SOLVEAGAIN;
}
if( lpsolstat == SCIP_LPSOLSTAT_OPTIMAL )
nlpcands = SCIPgetNLPBranchCands(scip);
SCIPdebugMessage(" -> lpsolstat=%d, nfrac=%d\n", lpsolstat, nlpcands);
}
SCIPdebugMessage("---> diving finished: lpsolstat = %d, depth %d/%d, LP iter %"SCIP_LONGINT_FORMAT"/%"SCIP_LONGINT_FORMAT"\n",
lpsolstat, divedepth, maxdivedepth, heurdata->nlpiterations, maxnlpiterations);
/* check if a solution has been found */
if( nlpcands == 0 && !lperror && lpsolstat == SCIP_LPSOLSTAT_OPTIMAL )
{
SCIP_Bool success;
/* create solution from diving LP */
SCIP_CALL( SCIPlinkLPSol(scip, heurdata->sol) );
SCIPdebugMessage("rootsoldiving found primal solution: obj=%g\n", SCIPgetSolOrigObj(scip, heurdata->sol));
/* try to add solution to SCIP */
SCIP_CALL( SCIPtrySol(scip, heurdata->sol, FALSE, FALSE, FALSE, FALSE, &success) );
/* check, if solution was feasible and good enough */
if( success )
{
SCIPdebugMessage(" -> solution was feasible and good enough\n");
*result = SCIP_FOUNDSOL;
}
}
/* end diving */
SCIP_CALL( SCIPendDive(scip) );
if( *result == SCIP_FOUNDSOL )
heurdata->nsuccess++;
/* free temporary memory */
SCIPfreeBufferArray(scip, &objchgvals);
SCIPfreeBufferArray(scip, &intvalrounds);
SCIPfreeBufferArray(scip, &softroundings);
SCIPfreeBufferArray(scip, &rootsol);
SCIPdebugMessage("rootsoldiving heuristic finished\n");
return SCIP_OKAY;
}
