/** find variable aggregations for downlock case */
static
SCIP_RETCODE findDownlockAggregations(
SCIP* scip, /**< SCIP main data structure */
SCIPMILPMATRIX* matrix, /**< constraint matrix */
int* nvaragg, /**< number of redundant variables */
AGGRTYPE* aggtypes, /**< type of aggregations (in same order as variables in matrix) */
SCIP_VAR** binvars /**< pointers to the binary variables (in same order as variables in matrix) */
)
{
int nvars;
int i;
assert(scip != NULL);
assert(matrix != NULL);
assert(nvaragg != NULL);
assert(aggtypes != NULL);
assert(binvars != NULL);
nvars = SCIPmatrixGetNColumns(matrix);
for( i = 0; i < nvars; i++ )
{
/* column has only one downlock which keeps it from being fixed by duality fixing;
* only handle variable if it was not yet aggregated due to a single uplock
*/
if( SCIPmatrixGetColNDownlocks(matrix, i) == 1 &&
SCIPisGE(scip, SCIPvarGetObj(SCIPmatrixGetVar(matrix, i)), 0.0) &&
aggtypes[i] == NOAGG )
{
SCIP_Real lb;
SCIP_Real ub;
lb = SCIPmatrixGetColLb(matrix, i);
ub = SCIPmatrixGetColUb(matrix, i);
assert(lb == SCIPvarGetLbGlobal(SCIPmatrixGetVar(matrix, i))); /*lint !e777*/
assert(ub == SCIPvarGetUbGlobal(SCIPmatrixGetVar(matrix, i))); /*lint !e777*/
/* the variable needs to have finite bounds to allow an agregation */
if( !SCIPisInfinity(scip, -lb) && !SCIPisInfinity(scip, ub) )
{
int binvaridx;
AGGRTYPE aggtype;
getBinVarIdxInDownlockRow(scip, matrix, i, &binvaridx, &aggtype);
if( binvaridx >= 0 )
{
aggtypes[i] = aggtype;
binvars[i] = SCIPmatrixGetVar(matrix, binvaridx);
(*nvaragg)++;
}
}
}
}
return SCIP_OKAY;
}
/** node comparison method of node selector */
static
SCIP_DECL_NODESELCOMP(nodeselCompHybridestim)
{ /*lint --e{715}*/
SCIP_NODESELDATA* nodeseldata;
SCIP_Real score1;
SCIP_Real score2;
assert(nodesel != NULL);
assert(strcmp(SCIPnodeselGetName(nodesel), NODESEL_NAME) == 0);
assert(scip != NULL);
nodeseldata = SCIPnodeselGetData(nodesel);
assert(nodeseldata != NULL);
score1 = getNodeselScore(node1, nodeseldata->estimweight);
score2 = getNodeselScore(node2, nodeseldata->estimweight);
if( (SCIPisInfinity(scip, score1) && SCIPisInfinity(scip, score2)) ||
(SCIPisInfinity(scip, -score1) && SCIPisInfinity(scip, -score2)) ||
SCIPisEQ(scip, score1, score2) )
{
SCIP_NODETYPE nodetype1;
SCIP_NODETYPE nodetype2;
nodetype1 = SCIPnodeGetType(node1);
nodetype2 = SCIPnodeGetType(node2);
if( nodetype1 == SCIP_NODETYPE_CHILD && nodetype2 != SCIP_NODETYPE_CHILD )
return -1;
else if( nodetype1 != SCIP_NODETYPE_CHILD && nodetype2 == SCIP_NODETYPE_CHILD )
return +1;
else if( nodetype1 == SCIP_NODETYPE_SIBLING && nodetype2 != SCIP_NODETYPE_SIBLING )
return -1;
else if( nodetype1 != SCIP_NODETYPE_SIBLING && nodetype2 == SCIP_NODETYPE_SIBLING )
return +1;
else
{
int depth1;
int depth2;
depth1 = SCIPnodeGetDepth(node1);
depth2 = SCIPnodeGetDepth(node2);
if( depth1 < depth2 )
return -1;
else if( depth1 > depth2 )
return +1;
else
return 0;
}
}
if( SCIPisLT(scip, score1, score2) )
return -1;
assert(SCIPisGT(scip, score1, score2));
return +1;
}
/** 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;
}
/** output method of display column to output file stream 'file' */
static
SCIP_DECL_DISPOUTPUT(SCIPdispOutputGap)
{ /*lint --e{715}*/
SCIP_Real gap;
assert(disp != NULL);
assert(strcmp(SCIPdispGetName(disp), DISP_NAME_GAP) == 0);
assert(scip != NULL);
gap = SCIPgetGap(scip);
if( SCIPisInfinity(scip, gap) )
SCIPinfoMessage(scip, file, " Inf ");
else if( gap >= 100.00 )
SCIPinfoMessage(scip, file, " Large ");
else
SCIPinfoMessage(scip, file, "%7.2f%%", 100.0*gap);
if( SCIPgetNNodesLeft(scip) > 0
|| SCIPisZero(scip, gap) )
{
SCIP_CALL( SCIPsetIntParam(scip, "display/verblevel", 0) );
}
return SCIP_OKAY;
}
/** output method of display column to output file stream 'file' */
static
SCIP_DECL_DISPOUTPUT(SCIPdispOutputCutoffbound)
{ /*lint --e{715}*/
SCIP_Real cutoffbound;
assert(disp != NULL);
assert(strcmp(SCIPdispGetName(disp), DISP_NAME_CUTOFFBOUND) == 0);
assert(scip != NULL);
cutoffbound = SCIPgetCutoffbound(GCGpricerGetOrigprob(scip));
if( SCIPisInfinity(scip, REALABS(cutoffbound)) )
SCIPinfoMessage(scip, file, " -- ");
else
SCIPinfoMessage(scip, file, "%13.6e ", SCIPretransformObj(GCGpricerGetOrigprob(scip), cutoffbound));
return SCIP_OKAY;
}
/** output method of display column to output file stream 'file' */
static
SCIP_DECL_DISPOUTPUT(SCIPdispOutputAvgdualbound)
{ /*lint --e{715}*/
SCIP_Real avgdualbound;
assert(disp != NULL);
assert(strcmp(SCIPdispGetName(disp), DISP_NAME_AVGDUALBOUND) == 0);
assert(scip != NULL);
avgdualbound = SCIPgetAvgDualbound(GCGpricerGetOrigprob(scip));
if( SCIPisInfinity(scip, REALABS(avgdualbound)) )
SCIPinfoMessage(scip, file, " -- ");
else
SCIPinfoMessage(scip, file, "%13.6e ", avgdualbound);
return SCIP_OKAY;
}
/** output method of display column to output file stream 'file' */
static
SCIP_DECL_DISPOUTPUT(SCIPdispOutputLpobj)
{ /*lint --e{715}*/
SCIP_Real lpobj;
assert(disp != NULL);
assert(strcmp(SCIPdispGetName(disp), DISP_NAME_LPOBJ) == 0);
assert(scip != NULL);
lpobj = SCIPgetLPObjval(scip);
if( SCIPisInfinity(scip, REALABS(lpobj)) )
SCIPinfoMessage(scip, file, " -- ");
else
SCIPinfoMessage(scip, file, "%13.6e ", lpobj);
return SCIP_OKAY;
}
/** output method of display column to output file stream 'file' */
static
SCIP_DECL_DISPOUTPUT(SCIPdispOutputEstimate)
{ /*lint --e{715}*/
SCIP_Real estimate;
assert(disp != NULL);
assert(strcmp(SCIPdispGetName(disp), DISP_NAME_ESTIMATE) == 0);
assert(scip != NULL);
estimate = SCIPgetLocalOrigEstimate(GCGpricerGetOrigprob(scip));
if( SCIPisInfinity(scip, REALABS(estimate)) )
SCIPinfoMessage(scip, file, " -- ");
else
SCIPinfoMessage(scip, file, "%13.6e ", estimate);
return SCIP_OKAY;
}
/** output method of display column to output file stream 'file' */
static
SCIP_DECL_DISPOUTPUT(SCIPdispOutputPrimalbound)
{ /*lint --e{715}*/
SCIP_Real primalbound;
assert(disp != NULL);
assert(strcmp(SCIPdispGetName(disp), DISP_NAME_PRIMALBOUND) == 0);
assert(scip != NULL);
primalbound = SCIPgetPrimalbound(scip);
if( SCIPisInfinity(scip, REALABS(primalbound)) )
SCIPinfoMessage(scip, file, " -- ");
else
SCIPinfoMessage(scip, file, "%13.6e%c", SCIPretransformObj(GCGpricerGetOrigprob(scip), primalbound),
SCIPisPrimalboundSol(scip) ? ' ' : '*');
return SCIP_OKAY;
}
/** execution method of presolver */
static
SCIP_DECL_PRESOLEXEC(presolExecDualfix)
{ /*lint --e{715}*/
SCIP_VAR** vars;
SCIP_Real bound;
SCIP_Real roundbound;
SCIP_Real obj;
SCIP_Bool infeasible;
SCIP_Bool fixed;
int nvars;
int v;
assert(presol != NULL);
assert(strcmp(SCIPpresolGetName(presol), PRESOL_NAME) == 0);
assert(result != NULL);
*result = SCIP_DIDNOTFIND;
/* get active problem variables */
vars = SCIPgetVars(scip);
nvars = SCIPgetNVars(scip);
/* look for fixable variables
* loop backwards, since a variable fixing can change the current and the subsequent slots in the vars array
*/
for( v = nvars - 1; v >= 0; --v )
{
/* don't perform dual presolving operations on deleted variables */
if( SCIPvarIsDeleted(vars[v]) )
continue;
obj = SCIPvarGetObj(vars[v]);
/* if the objective coefficient of the variable is 0 and it may be rounded both
* up and down, then fix it to the closest feasible value to 0 */
if( SCIPisZero(scip, obj) && SCIPvarMayRoundDown(vars[v]) && SCIPvarMayRoundUp(vars[v]) )
{
bound = SCIPvarGetLbGlobal(vars[v]);
if( SCIPisLT(scip, bound, 0.0) )
{
if( SCIPisLE(scip, 0.0, SCIPvarGetUbGlobal(vars[v])) )
bound = 0.0;
else
{
/* try to take an integer value, only for polishing */
roundbound = SCIPfloor(scip, SCIPvarGetUbGlobal(vars[v]));
if( roundbound < bound )
bound = SCIPvarGetUbGlobal(vars[v]);
else
bound = roundbound;
}
}
else
{
/* try to take an integer value, only for polishing */
roundbound = SCIPceil(scip, bound);
if( roundbound < SCIPvarGetUbGlobal(vars[v]) )
bound = roundbound;
}
SCIPdebugMessage("variable <%s> with objective 0 fixed to %g\n",
SCIPvarGetName(vars[v]), bound);
}
else
{
/* if it is always possible to round variable in direction of objective value,
* fix it to its proper bound
*/
if( SCIPvarMayRoundDown(vars[v]) && !SCIPisNegative(scip, obj) )
{
bound = SCIPvarGetLbGlobal(vars[v]);
if( SCIPisZero(scip, obj) && SCIPvarGetNLocksUp(vars[v]) == 1 && SCIPisInfinity(scip, -bound) )
{
/* variable can be set to -infinity, and it is only contained in one constraint:
* we hope that the corresponding constraint handler is clever enough to set/aggregate the variable
* to something more useful than -infinity and do nothing here
*/
continue;
}
SCIPdebugMessage("variable <%s> with objective %g and %d uplocks fixed to lower bound %g\n",
SCIPvarGetName(vars[v]), SCIPvarGetObj(vars[v]), SCIPvarGetNLocksUp(vars[v]), bound);
}
else if( SCIPvarMayRoundUp(vars[v]) && !SCIPisPositive(scip, obj) )
{
bound = SCIPvarGetUbGlobal(vars[v]);
if( SCIPisZero(scip, obj) && SCIPvarGetNLocksDown(vars[v]) == 1 && SCIPisInfinity(scip, bound) )
{
/* variable can be set to +infinity, and it is only contained in one constraint:
* we hope that the corresponding constraint handler is clever enough to set/aggregate the variable
* to something more useful than +infinity and do nothing here
*/
continue;
}
SCIPdebugMessage("variable <%s> with objective %g and %d downlocks fixed to upper bound %g\n",
SCIPvarGetName(vars[v]), SCIPvarGetObj(vars[v]), SCIPvarGetNLocksDown(vars[v]), bound);
}
else
continue;
}
/* apply the fixing */
if( SCIPisInfinity(scip, REALABS(bound)) && !SCIPisZero(scip, obj) )
{
SCIPdebugMessage(" -> unbounded fixing\n");
SCIPverbMessage(scip, SCIP_VERBLEVEL_NORMAL, NULL,
"problem infeasible or unbounded: variable <%s> with objective %.15g can be made infinitely %s\n",
SCIPvarGetName(vars[v]), SCIPvarGetObj(vars[v]), bound < 0.0 ? "small" : "large");
*result = SCIP_UNBOUNDED;
return SCIP_OKAY;
}
SCIP_CALL( SCIPfixVar(scip, vars[v], bound, &infeasible, &fixed) );
if( infeasible )
{
SCIPdebugMessage(" -> infeasible fixing\n");
*result = SCIP_CUTOFF;
return SCIP_OKAY;
}
assert(fixed);
(*nfixedvars)++;
*result = SCIP_SUCCESS;
}
return SCIP_OKAY;
}
/** reduced cost propagation method for an LP solution */
static
SCIP_DECL_PROPEXEC(propExecRedcost)
{ /*lint --e{715}*/
SCIP_PROPDATA* propdata;
SCIP_COL** cols;
SCIP_Real requiredredcost;
SCIP_Real cutoffbound;
SCIP_Real lpobjval;
SCIP_Bool propbinvars;
SCIP_Bool cutoff;
int nchgbds;
int ncols;
int c;
*result = SCIP_DIDNOTRUN;
/* in case we have a zero objective function, we skip the reduced cost propagator */
if( SCIPgetNObjVars(scip) == 0 )
return SCIP_OKAY;
/* propagator can only be applied during solving stage */
if( SCIPgetStage(scip) < SCIP_STAGE_SOLVING )
return SCIP_OKAY;
/* we cannot apply reduced cost fixing, if we want to solve exactly */
/**@todo implement reduced cost fixing with interval arithmetics */
if( SCIPisExactSolve(scip) )
return SCIP_OKAY;
/* only call propagator, if the current node has an LP */
if( !SCIPhasCurrentNodeLP(scip) )
return SCIP_OKAY;
/* only call propagator, if an optimal LP solution is at hand */
if( SCIPgetLPSolstat(scip) != SCIP_LPSOLSTAT_OPTIMAL )
return SCIP_OKAY;
/* only call propagator, if the current LP is a valid relaxation */
if( !SCIPisLPRelax(scip) )
return SCIP_OKAY;
/* we cannot apply reduced cost strengthening, if no simplex basis is available */
if( !SCIPisLPSolBasic(scip) )
return SCIP_OKAY;
/* get current cutoff bound */
cutoffbound = SCIPgetCutoffbound(scip);
/* reduced cost strengthening can only be applied, if we have a finite cutoff */
if( SCIPisInfinity(scip, cutoffbound) )
return SCIP_OKAY;
/* get LP columns */
cols = SCIPgetLPCols(scip);
ncols = SCIPgetNLPCols(scip);
/* do nothing if the LP has no columns (is empty) */
if( ncols == 0 )
return SCIP_OKAY;
/* get propagator data */
propdata = SCIPpropGetData(prop);
assert(propdata != NULL);
/* chack if all integral variables are fixed and the continuous variables should not be propagated */
if( !propdata->continuous && SCIPgetNPseudoBranchCands(scip) == 0 )
return SCIP_OKAY;
/* get LP objective value */
lpobjval = SCIPgetLPObjval(scip);
/* check if binary variables should be propagated */
propbinvars = (SCIPgetDepth(scip) == 0) || (cutoffbound - lpobjval < 5 * propdata->maxredcost);
/* skip the propagator if the problem has only binary variables and those should not be propagated */
if( !propbinvars && SCIPgetNVars(scip) == SCIPgetNBinVars(scip) )
return SCIP_OKAY;
*result = SCIP_DIDNOTFIND;
cutoff = FALSE;
nchgbds = 0;
/* compute the required reduced cost which are needed for a binary variable to be fixed */
requiredredcost = cutoffbound - lpobjval;
SCIPdebugMessage("lpobjval <%g>, cutoffbound <%g>, max reduced <%g>, propgate binary %u, use implics %u\n",
lpobjval, cutoffbound, propdata->maxredcost, propbinvars, propdata->usefullimplics);
/* check reduced costs for non-basic columns */
for( c = 0; c < ncols && !cutoff; ++c )
{
SCIP_VAR* var;
var = SCIPcolGetVar(cols[c]);
/* skip continuous variables in case the corresponding parameter is set */
if( !propdata->continuous && !SCIPvarIsIntegral(var) )
continue;
if( SCIPvarIsBinary(var) )
{
if( propbinvars )
{
if( SCIPgetDepth(scip) == 0 )
{
SCIP_CALL( propagateRootRedcostBinvar(scip, propdata, var, cols[c], cutoffbound, &nchgbds) );
}
else
{
SCIP_CALL( propagateRedcostBinvar(scip, propdata, var, cols[c], requiredredcost, &nchgbds, &cutoff) );
}
}
}
else
{
SCIP_CALL( propagateRedcostVar(scip, var, cols[c], lpobjval, cutoffbound, &nchgbds) );
}
}
if( cutoff )
{
*result = SCIP_CUTOFF;
SCIPdebugMessage("node %"SCIP_LONGINT_FORMAT": detected cutoff\n",
SCIPnodeGetNumber(SCIPgetCurrentNode(scip)));
}
else if( nchgbds > 0 )
{
*result = SCIP_REDUCEDDOM;
SCIPdebugMessage("node %"SCIP_LONGINT_FORMAT": %d bound changes (max redcost <%g>)\n",
SCIPnodeGetNumber(SCIPgetCurrentNode(scip)) , nchgbds, propdata->maxredcost);
}
return SCIP_OKAY;
}
/* standard "main" method for mex interface */
void mexFunction(
int nlhs, /* number of expected outputs */
mxArray* plhs[], /* array of pointers to output arguments */
int nrhs, /* number of inputs */
const mxArray* prhs[] /* array of pointers to input arguments */
)
{
SCIP* scip;
SCIP_VAR** vars;
SCIP_Real* objs;
SCIP_Real* lhss;
SCIP_Real* rhss;
SCIP_Real* lbs;
SCIP_Real* ubs;
SCIP_Real* matrix;
SCIP_Real* bestsol;
SCIP_Real* objval;
char* vartypes;
char objsense[SCIP_MAXSTRLEN];
int nvars;
int nconss;
int stringsize;
int i;
if( SCIPmajorVersion() < 2 )
{
mexErrMsgTxt("SCIP versions less than 2.0 are not supported\n");
return;
}
/* initialize SCIP */
SCIP_CALL_ABORT( SCIPcreate(&scip) );
/* output SCIP information */
SCIPprintVersion(scip, NULL);
/* include default SCIP plugins */
SCIP_CALL_ABORT( SCIPincludeDefaultPlugins(scip) );
if( nlhs != 2 || nrhs != 8 )
mexErrMsgTxt("invalid number of parameters. Call as [bestsol, objval] = matscip(matrix, lhs, rhs, obj, lb, ub, vartype, objsense)\n");
if( mxIsSparse(prhs[0]) )
mexErrMsgTxt("sparse matrices are not supported yet"); /* ???????? of course this has to change */
/* get linear constraint coefficient matrix */
matrix = mxGetPr(prhs[0]);
if( matrix == NULL )
mexErrMsgTxt("matrix must not be NULL");
if( mxGetNumberOfDimensions(prhs[0]) != 2 )
mexErrMsgTxt("matrix must have exactly two dimensions");
/* get dimensions of matrix */
nconss = mxGetM(prhs[0]);
nvars = mxGetN(prhs[0]);
assert(nconss > 0);
assert(nvars > 0);
/* get left hand sides of linear constraints */
lhss = mxGetPr(prhs[1]);
if( mxGetM(prhs[1]) != nconss )
mexErrMsgTxt("dimension of left hand side vector does not match matrix dimension");
assert(lhss != NULL);
/* get right hand sides of linear constraints */
rhss = mxGetPr(prhs[2]);
if( mxGetM(prhs[2]) != nconss )
mexErrMsgTxt("dimension of right hand side vector does not match matrix dimension");
assert(rhss != NULL);
/* get objective coefficients */
objs = mxGetPr(prhs[3]);
if( mxGetM(prhs[3]) != nvars )
mexErrMsgTxt("dimension of objective coefficient vector does not match matrix dimension");
/* get lower bounds of variables */
lbs = mxGetPr(prhs[4]);
if( mxGetM(prhs[4]) != nvars )
mexErrMsgTxt("dimension of lower bound vector does not match matrix dimension");
/* get upper bounds of variables */
ubs = mxGetPr(prhs[5]);
if( mxGetM(prhs[5]) != nvars )
mexErrMsgTxt("dimension of upper bound vector does not match matrix dimension");
/* allocate memory for variable type characters */
SCIP_CALL_ABORT( SCIPallocMemoryArray(scip, &vartypes, nvars+1) );
/* get variable types */
if( mxGetString(prhs[6], vartypes, nvars+1) != 0 )
mexErrMsgTxt("Error when parsing variable types, maybe a wrong vector dimension?");
/* get objective sense */
stringsize = mxGetNumberOfElements(prhs[7]);
if( stringsize != 3 )
mexErrMsgTxt("objective sense must be a three character word: \"max\" or \"min\"");
if( mxGetString(prhs[7], objsense, stringsize+1) != 0)
mexErrMsgTxt("Error when parsing objective sense string");
if( strcmp(objsense,"max") != 0 && strcmp(objsense,"min") != 0 )
mexErrMsgTxt("objective sense must be either \"max\" or \"min\"");
/* get output parameters */
plhs[0] = mxCreateDoubleMatrix(nvars, 1, mxREAL);
bestsol = mxGetPr(plhs[0]);
plhs[1] = mxCreateDoubleScalar(mxREAL);
objval = mxGetPr(plhs[1]);
/* create SCIP problem */
SCIP_CALL_ABORT( SCIPcreateProb(scip, "mex_prob", NULL, NULL, NULL, NULL, NULL, NULL, NULL) );
/* allocate memory for variable array */
SCIP_CALL_ABORT( SCIPallocMemoryArray(scip, &vars, nvars) );
/* create variables */
for( i = 0; i < nvars; ++i)
{
SCIP_VARTYPE vartype;
char varname[SCIP_MAXSTRLEN];
/* convert vartype character to SCIP vartype */
if( vartypes[i] == 'i' )
vartype = SCIP_VARTYPE_INTEGER;
else if( vartypes[i] == 'b' )
vartype = SCIP_VARTYPE_BINARY;
else if( vartypes[i] == 'c' )
vartype = SCIP_VARTYPE_CONTINUOUS;
else
mexErrMsgTxt("unkown variable type");
/* variables get canonic names x_i */
(void) SCIPsnprintf(varname, SCIP_MAXSTRLEN, "x_%d", i);
/* create variable object and add it to SCIP */
SCIP_CALL_ABORT( SCIPcreateVar(scip, &vars[i], varname, lbs[i], ubs[i], objs[i],
vartype, TRUE, FALSE, NULL, NULL, NULL, NULL, NULL) );
assert(vars[i] != NULL);
SCIP_CALL_ABORT( SCIPaddVar(scip, vars[i]) );
}
/* create linear constraints */
for( i = 0; i < nconss; ++i )
{
SCIP_CONS* cons;
char consname[SCIP_MAXSTRLEN];
int j;
/* constraints get canonic names cons_i */
(void) SCIPsnprintf(consname, SCIP_MAXSTRLEN, "cons_%d", i);
/* create empty linear constraint */
SCIP_CALL_ABORT( SCIPcreateConsLinear(scip, &cons, consname, 0, NULL, NULL, lhss[i], rhss[i],
TRUE, TRUE, TRUE, TRUE, TRUE, FALSE, FALSE, FALSE, FALSE, FALSE) );
/* add non-zero coefficients to linear constraint */
for( j = 0; j < nvars; ++j )
{
if( !SCIPisFeasZero(scip, matrix[i+j*nconss]) )
{
SCIP_CALL_ABORT( SCIPaddCoefLinear(scip, cons, vars[j], matrix[i+j*nconss]) );
}
}
/* add constraint to SCIP and release it */
SCIP_CALL_ABORT( SCIPaddCons(scip, cons) );
SCIP_CALL_ABORT( SCIPreleaseCons(scip, &cons) );
}
/* set objective sense in SCIP */
if( strcmp(objsense,"max") == 0)
{
SCIP_CALL_ABORT( SCIPsetObjsense(scip, SCIP_OBJSENSE_MAXIMIZE) );
}
else if( strcmp(objsense,"min") == 0)
{
SCIP_CALL_ABORT( SCIPsetObjsense(scip, SCIP_OBJSENSE_MINIMIZE) );
}
else
/* this should have been caught earlier when parsing objsense */
mexErrMsgTxt("unkown objective sense");
/* solve SCIP problem */
SCIP_CALL_ABORT( SCIPsolve(scip) );
/* if SCIP found a solution, pass it back into MATLAB output parameters */
if( SCIPgetNSols > 0 )
{
SCIP_SOL* scipbestsol;
/* get incumbent solution vector */
scipbestsol = SCIPgetBestSol(scip);
assert(scipbestsol != NULL);
/* get objective value of incumbent solution */
*objval = SCIPgetSolOrigObj(scip, scipbestsol);
assert(!SCIPisInfinity(scip, REALABS(*objval)));
/* copy solution values into output vector */
for( i = 0; i < nvars; ++i )
bestsol[i] = SCIPgetSolVal(scip,scipbestsol,vars[i]);
}
/* release variables */
for( i = 0; i < nvars; ++i )
{
SCIP_CALL_ABORT( SCIPreleaseVar(scip, &vars[i]) );
}
/* free memory for variable arrays */
SCIPfreeMemoryArray(scip, &vartypes);
SCIPfreeMemoryArray(scip, &vars);
/* deinitialize SCIP */
SCIP_CALL_ABORT( SCIPfree(&scip) );
/* check for memory leaks */
BMScheckEmptyMemory();
return;
}
/** transforms given solution of the master problem into solution of the original problem
* @todo think about types of epsilons used in this method
*/
SCIP_RETCODE GCGrelaxTransformMastersolToOrigsol(
SCIP* scip, /**< SCIP data structure */
SCIP_SOL* mastersol, /**< solution of the master problem, or NULL for current LP solution */
SCIP_SOL** origsol /**< pointer to store the new created original problem's solution */
)
{
SCIP* masterprob;
int npricingprobs;
int* blocknrs;
SCIP_Real* blockvalue;
SCIP_Real increaseval;
SCIP_VAR** mastervars;
SCIP_Real* mastervals;
int nmastervars;
SCIP_VAR** vars;
int nvars;
SCIP_Real feastol;
int i;
int j;
assert(scip != NULL);
assert(origsol != NULL);
masterprob = GCGrelaxGetMasterprob(scip);
npricingprobs = GCGrelaxGetNPricingprobs(scip);
assert( !SCIPisInfinity(scip, SCIPgetSolOrigObj(masterprob, mastersol)) );
SCIP_CALL( SCIPcreateSol(scip, origsol, GCGrelaxGetProbingheur(scip)) );
SCIP_CALL( SCIPallocBufferArray(scip, &blockvalue, npricingprobs) );
SCIP_CALL( SCIPallocBufferArray(scip, &blocknrs, npricingprobs) );
/* get variables of the master problem and their solution values */
SCIP_CALL( SCIPgetVarsData(masterprob, &mastervars, &nmastervars, NULL, NULL, NULL, NULL) );
assert(mastervars != NULL);
assert(nmastervars >= 0);
SCIP_CALL( SCIPallocBufferArray(scip, &mastervals, nmastervars) );
SCIP_CALL( SCIPgetSolVals(masterprob, mastersol, nmastervars, mastervars, mastervals) );
/* initialize the block values for the pricing problems */
for( i = 0; i < npricingprobs; i++ )
{
blockvalue[i] = 0.0;
blocknrs[i] = 0;
}
/* loop over all given master variables */
for( i = 0; i < nmastervars; i++ )
{
SCIP_VAR** origvars;
int norigvars;
SCIP_Real* origvals;
SCIP_Bool isray;
int blocknr;
origvars = GCGmasterVarGetOrigvars(mastervars[i]);
norigvars = GCGmasterVarGetNOrigvars(mastervars[i]);
origvals = GCGmasterVarGetOrigvals(mastervars[i]);
blocknr = GCGvarGetBlock(mastervars[i]);
isray = GCGmasterVarIsRay(mastervars[i]);
assert(GCGvarIsMaster(mastervars[i]));
assert(!SCIPisFeasNegative(scip, mastervals[i]));
/** @todo handle infinite master solution values */
assert(!SCIPisInfinity(scip, mastervals[i]));
/* first of all, handle variables representing rays */
if( isray )
{
assert(blocknr >= 0);
/* we also want to take into account variables representing rays, that have a small value (between normal and feas eps),
* so we do no feas comparison here */
if( SCIPisPositive(scip, mastervals[i]) )
{
/* loop over all original variables contained in the current master variable */
for( j = 0; j < norigvars; j++ )
{
if( SCIPisZero(scip, origvals[j]) )
break;
assert(!SCIPisZero(scip, origvals[j]));
/* the original variable is a linking variable: just transfer the solution value of the direct copy (this is done later) */
if( GCGvarIsLinking(origvars[j]) )
continue;
SCIPdebugMessage("Increasing value of %s by %f because of %s\n", SCIPvarGetName(origvars[j]), origvals[j] * mastervals[i], SCIPvarGetName(mastervars[i]));
/* increase the corresponding value */
SCIP_CALL( SCIPincSolVal(scip, *origsol, origvars[j], origvals[j] * mastervals[i]) );
}
}
mastervals[i] = 0.0;
continue;
}
/* handle the variables with value >= 1 to get integral values in original solution */
while( SCIPisFeasGE(scip, mastervals[i], 1.0) )
{
/* variable was directly transferred to the master problem (only in linking conss or linking variable) */
/** @todo this may be the wrong place for this case, handle it before the while loop
* and remove the similar case in the next while loop */
if( blocknr == -1 )
{
assert(norigvars == 1);
assert(origvals[0] == 1.0);
/* increase the corresponding value */
SCIPdebugMessage("Increasing value of %s by %f because of %s\n", SCIPvarGetName(origvars[0]), origvals[0] * mastervals[i], SCIPvarGetName(mastervars[i]));
SCIP_CALL( SCIPincSolVal(scip, *origsol, origvars[0], origvals[0] * mastervals[i]) );
mastervals[i] = 0.0;
}
else
{
assert(blocknr >= 0);
/* loop over all original variables contained in the current master variable */
for( j = 0; j < norigvars; j++ )
{
SCIP_VAR* pricingvar;
int norigpricingvars;
SCIP_VAR** origpricingvars;
if( SCIPisZero(scip, origvals[j]) )
break;
assert(!SCIPisZero(scip, origvals[j]));
/* the original variable is a linking variable: just transfer the solution value of the direct copy (this is done above) */
if( GCGvarIsLinking(origvars[j]) )
continue;
pricingvar = GCGoriginalVarGetPricingVar(origvars[j]);
assert(GCGvarIsPricing(pricingvar));
norigpricingvars = GCGpricingVarGetNOrigvars(pricingvar);
origpricingvars = GCGpricingVarGetOrigvars(pricingvar);
/* just in case a variable has a value higher than the number of blocks, it represents */
if( norigpricingvars <= blocknrs[blocknr] )
{
SCIPdebugMessage("Increasing value of %s by %f because of %s\n", SCIPvarGetName(origpricingvars[norigpricingvars-1]), mastervals[i] * origvals[j], SCIPvarGetName(mastervars[i]));
/* increase the corresponding value */
SCIP_CALL( SCIPincSolVal(scip, *origsol, origpricingvars[norigpricingvars-1], mastervals[i] * origvals[j]) );
mastervals[i] = 1.0;
}
/* this should be default */
else
{
SCIPdebugMessage("Increasing value of %s by %f because of %s\n", SCIPvarGetName(origpricingvars[blocknrs[blocknr]]), origvals[j], SCIPvarGetName(mastervars[i]) );
/* increase the corresponding value */
SCIP_CALL( SCIPincSolVal(scip, *origsol, origpricingvars[blocknrs[blocknr]], origvals[j]) );
}
}
mastervals[i] = mastervals[i] - 1.0;
blocknrs[blocknr]++;
}
}
}
/* loop over all given master variables */
for( i = 0; i < nmastervars; i++ )
{
SCIP_VAR** origvars;
int norigvars;
SCIP_Real* origvals;
int blocknr;
origvars = GCGmasterVarGetOrigvars(mastervars[i]);
norigvars = GCGmasterVarGetNOrigvars(mastervars[i]);
origvals = GCGmasterVarGetOrigvals(mastervars[i]);
blocknr = GCGvarGetBlock(mastervars[i]);
if( SCIPisFeasZero(scip, mastervals[i]) )
{
continue;
}
assert(SCIPisFeasGE(scip, mastervals[i], 0.0) && SCIPisFeasLT(scip, mastervals[i], 1.0));
while( SCIPisFeasPositive(scip, mastervals[i]) )
{
assert(GCGvarIsMaster(mastervars[i]));
assert(!GCGmasterVarIsRay(mastervars[i]));
if( blocknr == -1 )
{
assert(norigvars == 1);
assert(origvals[0] == 1.0);
SCIPdebugMessage("Increasing value of %s by %f because of %s\n", SCIPvarGetName(origvars[0]), origvals[0] * mastervals[i], SCIPvarGetName(mastervars[i]) );
/* increase the corresponding value */
SCIP_CALL( SCIPincSolVal(scip, *origsol, origvars[0], origvals[0] * mastervals[i]) );
mastervals[i] = 0.0;
}
else
{
increaseval = MIN(mastervals[i], 1.0 - blockvalue[blocknr]);
/* loop over all original variables contained in the current master variable */
for( j = 0; j < norigvars; j++ )
{
SCIP_VAR* pricingvar;
int norigpricingvars;
SCIP_VAR** origpricingvars;
if( SCIPisZero(scip, origvals[j]) )
continue;
/* the original variable is a linking variable: just transfer the solution value of the direct copy (this is done above) */
if( GCGvarIsLinking(origvars[j]) )
continue;
pricingvar = GCGoriginalVarGetPricingVar(origvars[j]);
assert(GCGvarIsPricing(pricingvar));
norigpricingvars = GCGpricingVarGetNOrigvars(pricingvar);
origpricingvars = GCGpricingVarGetOrigvars(pricingvar);
if( norigpricingvars <= blocknrs[blocknr] )
{
increaseval = mastervals[i];
SCIPdebugMessage("Increasing value of %s by %f because of %s\n", SCIPvarGetName(origpricingvars[norigpricingvars-1]), origvals[j] * increaseval, SCIPvarGetName(mastervars[i]) );
/* increase the corresponding value */
SCIP_CALL( SCIPincSolVal(scip, *origsol, origpricingvars[norigpricingvars-1], origvals[j] * increaseval) );
}
else
{
/* increase the corresponding value */
SCIPdebugMessage("Increasing value of %s by %f because of %s\n", SCIPvarGetName(origpricingvars[blocknrs[blocknr]]), origvals[j] * increaseval, SCIPvarGetName(mastervars[i]) );
SCIP_CALL( SCIPincSolVal(scip, *origsol, origpricingvars[blocknrs[blocknr]], origvals[j] * increaseval) );
}
}
mastervals[i] = mastervals[i] - increaseval;
if( SCIPisFeasZero(scip, mastervals[i]) )
{
mastervals[i] = 0.0;
}
blockvalue[blocknr] += increaseval;
/* if the value assigned to the block is equal to 1, this block is full and we take the next block */
if( SCIPisFeasGE(scip, blockvalue[blocknr], 1.0) )
{
blockvalue[blocknr] = 0.0;
blocknrs[blocknr]++;
}
}
}
}
SCIPfreeBufferArray(scip, &mastervals);
SCIPfreeBufferArray(scip, &blocknrs);
SCIPfreeBufferArray(scip, &blockvalue);
/* if the solution violates one of its bounds by more than feastol
* and less than 10*feastol, round it and print a warning
*/
SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, NULL, NULL, NULL, NULL) );
SCIP_CALL( SCIPgetRealParam(scip, "numerics/feastol", &feastol) );
for( i = 0; i < nvars; ++i )
{
SCIP_Real solval;
SCIP_Real lb;
SCIP_Real ub;
solval = SCIPgetSolVal(scip, *origsol, vars[i]);
lb = SCIPvarGetLbLocal(vars[i]);
ub = SCIPvarGetUbLocal(vars[i]);
if( SCIPisFeasGT(scip, solval, ub) && EPSEQ(solval, ub, 10 * feastol) )
{
SCIP_CALL( SCIPsetSolVal(scip, *origsol, vars[i], ub) );
SCIPwarningMessage(scip, "Variable %s rounded from %g to %g in relaxation solution\n",
SCIPvarGetName(vars[i]), solval, ub);
}
else if( SCIPisFeasLT(scip, solval, lb) && EPSEQ(solval, lb, 10 * feastol) )
{
SCIP_CALL( SCIPsetSolVal(scip, *origsol, vars[i], lb) );
SCIPwarningMessage(scip, "Variable %s rounded from %g to %g in relaxation solution\n",
SCIPvarGetName(vars[i]), solval, lb);
}
}
return SCIP_OKAY;
}
/** compares the so far best branching candidate with a new candidate and updates best candidate, if new candidate is better */
static
void updateBestCandidate(
SCIP* scip, /**< SCIP data structure */
SCIP_VAR** bestvar, /**< best branching candidate */
SCIP_Real* bestscore, /**< score of best branching candidate */
SCIP_Real* bestobj, /**< absolute objective value of best branching candidate */
SCIP_Real* bestsol, /**< proposed branching point of best branching candidate */
SCIP_VAR* cand, /**< branching candidate to consider */
SCIP_Real candscore, /**< scoring of branching candidate */
SCIP_Real candsol /**< proposed branching point of branching candidate */
)
{
SCIP_Real obj;
assert(scip != NULL);
assert(bestvar != NULL);
assert(bestscore != NULL);
assert(bestobj != NULL);
assert(*bestobj >= 0.0);
assert(cand != NULL);
/* a branching variable candidate should either be an active problem variable or a multi-aggregated variable */
assert(SCIPvarIsActive(SCIPvarGetProbvar(cand)) ||
SCIPvarGetStatus(SCIPvarGetProbvar(cand)) == SCIP_VARSTATUS_MULTAGGR);
if( SCIPvarGetStatus(SCIPvarGetProbvar(cand)) == SCIP_VARSTATUS_MULTAGGR )
{
/* for a multi-aggregated variable, we call updateBestCandidate function recursively with all variables in the multi-aggregation */
SCIP_VAR** multvars;
int nmultvars;
int i;
SCIP_Bool success;
SCIP_Real multvarlb;
SCIP_Real multvarub;
cand = SCIPvarGetProbvar(cand);
multvars = SCIPvarGetMultaggrVars(cand);
nmultvars = SCIPvarGetMultaggrNVars(cand);
/* if we have a candidate branching point, then first register only aggregation variables
* for which we can compute a corresponding branching point too (see also comments below)
* if this fails, then register all (unfixed) aggregation variables, thereby forgetting about candsol
*/
success = FALSE;
if( candsol != SCIP_INVALID ) /*lint !e777*/
{
SCIP_Real* multscalars;
SCIP_Real minact;
SCIP_Real maxact;
SCIP_Real aggrvarsol;
SCIP_Real aggrvarsol1;
SCIP_Real aggrvarsol2;
multscalars = SCIPvarGetMultaggrScalars(cand);
/* for computing the branching point, we need the current bounds of the multi-aggregated variable */
minact = SCIPcomputeVarLbLocal(scip, cand);
maxact = SCIPcomputeVarUbLocal(scip, cand);
for( i = 0; i < nmultvars; ++i )
{
/* skip fixed variables */
multvarlb = SCIPcomputeVarLbLocal(scip, multvars[i]);
multvarub = SCIPcomputeVarUbLocal(scip, multvars[i]);
if( SCIPisEQ(scip, multvarlb, multvarub) )
continue;
assert(multscalars != NULL);
assert(multscalars[i] != 0.0);
/* we cannot ensure that both the upper bound in the left node and the lower bound in the right node
* will be candsol by a clever choice for the branching point of multvars[i],
* but we can try to ensure that at least one of them will be at candsol
*/
if( multscalars[i] > 0.0 )
{
/* cand >= candsol
* if multvars[i] >= (candsol - (maxact - multscalars[i] * ub(multvars[i]))) / multscalars[i]
* = (candsol - maxact) / multscalars[i] + ub(multvars[i])
*/
aggrvarsol1 = (candsol - maxact) / multscalars[i] + multvarub;
/* cand <= candsol
* if multvars[i] <= (candsol - (minact - multscalar[i] * lb(multvars[i]))) / multscalars[i]
* = (candsol - minact) / multscalars[i] + lb(multvars[i])
*/
aggrvarsol2 = (candsol - minact) / multscalars[i] + multvarlb;
}
else
{
/* cand >= candsol
* if multvars[i] <= (candsol - (maxact - multscalars[i] * lb(multvars[i]))) / multscalars[i]
* = (candsol - maxact) / multscalars[i] + lb(multvars[i])
*/
aggrvarsol2 = (candsol - maxact) / multscalars[i] + multvarlb;
/* cand <= candsol
* if multvars[i] >= (candsol - (minact - multscalar[i] * ub(multvars[i]))) / multscalars[i]
* = (candsol - minact) / multscalars[i] + ub(multvars[i])
*/
aggrvarsol1 = (candsol - minact) / multscalars[i] + multvarub;
}
/* by the above choice, aggrvarsol1 <= ub(multvars[i]) and aggrvarsol2 >= lb(multvars[i])
* if aggrvarsol1 <= lb(multvars[i]) or aggrvarsol2 >= ub(multvars[i]), then choose the other one
* if both are out of bounds, then give up
* if both are inside bounds, then choose the one closer to 0.0 (someone has better idea???)
*/
if( SCIPisFeasLE(scip, aggrvarsol1, multvarlb) )
{
if( SCIPisFeasGE(scip, aggrvarsol2, multvarub) )
continue;
else
aggrvarsol = aggrvarsol2;
}
else
{
if( SCIPisFeasGE(scip, aggrvarsol2, multvarub) )
aggrvarsol = aggrvarsol1;
else
aggrvarsol = REALABS(aggrvarsol1) < REALABS(aggrvarsol2) ? aggrvarsol1 : aggrvarsol2;
}
success = TRUE;
updateBestCandidate(scip, bestvar, bestscore, bestobj, bestsol,
multvars[i], candscore, aggrvarsol);
}
}
if( !success )
for( i = 0; i < nmultvars; ++i )
{
/* skip fixed variables */
multvarlb = SCIPcomputeVarLbLocal(scip, multvars[i]);
multvarub = SCIPcomputeVarUbLocal(scip, multvars[i]);
if( SCIPisEQ(scip, multvarlb, multvarub) )
continue;
updateBestCandidate(scip, bestvar, bestscore, bestobj, bestsol,
multvars[i], candscore, SCIP_INVALID);
}
assert(*bestvar != NULL); /* if all variables were fixed, something is strange */
return;
}
candscore *= SCIPvarGetBranchFactor(cand);
obj = SCIPvarGetObj(cand);
obj = REALABS(obj);
if( SCIPisInfinity(scip, *bestscore)
|| (!SCIPisInfinity(scip, candscore) &&
(SCIPisLT(scip, candscore, *bestscore) || (SCIPisLE(scip, candscore, *bestscore) && obj > *bestobj))) )
{
*bestvar = cand;
*bestscore = candscore;
*bestobj = obj;
*bestsol = candsol;
}
}
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecTrivial)
{ /*lint --e{715}*/
SCIP_VAR** vars;
SCIP_SOL* lbsol; /* solution where all variables are set to their lower bounds */
SCIP_SOL* ubsol; /* solution where all variables are set to their upper bounds */
SCIP_SOL* zerosol; /* solution where all variables are set to zero */
SCIP_SOL* locksol; /* solution where all variables are set to the bound with the fewer locks */
SCIP_Real large;
int nvars;
int nbinvars;
int i;
SCIP_Bool success;
SCIP_Bool zerovalid;
*result = SCIP_DIDNOTRUN;
if( SCIPgetNRuns(scip) > 1 )
return SCIP_OKAY;
*result = SCIP_DIDNOTFIND;
success = FALSE;
/* initialize data structure */
SCIP_CALL( SCIPcreateSol(scip, &lbsol, heur) );
SCIP_CALL( SCIPcreateSol(scip, &ubsol, heur) );
SCIP_CALL( SCIPcreateSol(scip, &zerosol, heur) );
SCIP_CALL( SCIPcreateSol(scip, &locksol, heur) );
/* determine large value to set variables to */
large = SCIPinfinity(scip);
if( !SCIPisInfinity(scip, 0.1 / SCIPfeastol(scip)) )
large = 0.1 / SCIPfeastol(scip);
SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, &nbinvars, NULL, NULL, NULL) );
/* if the problem is binary, we do not have to check the zero solution, since it is equal to the lower bound
* solution */
zerovalid = (nvars != nbinvars);
assert(vars != NULL || nvars == 0);
for( i = 0; i < nvars; i++ )
{
SCIP_Real lb;
SCIP_Real ub;
assert(vars != NULL); /* this assert is needed for flexelint */
lb = SCIPvarGetLbLocal(vars[i]);
ub = SCIPvarGetUbLocal(vars[i]);
/* if problem is obviously infeasible due to empty domain, stop */
if( SCIPisGT(scip, lb, ub) )
goto TERMINATE;
/* set bounds to sufficient large value */
if( SCIPisInfinity(scip, -lb) )
lb = MIN(-large, ub);
if( SCIPisInfinity(scip, ub) )
{
SCIP_Real tmp;
tmp = SCIPvarGetLbLocal(vars[i]);
ub = MAX(tmp, large);
}
SCIP_CALL( SCIPsetSolVal(scip, lbsol, vars[i], lb) );
SCIP_CALL( SCIPsetSolVal(scip, ubsol, vars[i], ub) );
/* try the zero vector, if it is in the bounds region */
if( zerovalid )
{
if( SCIPisLE(scip, lb, 0.0) && SCIPisLE(scip, 0.0, ub) )
{
SCIP_CALL( SCIPsetSolVal(scip, zerosol, vars[i], 0.0) );
}
else
zerovalid = FALSE;
}
/* set variables to the bound with fewer locks, if tie choose an average value */
if( SCIPvarGetNLocksDown(vars[i]) > SCIPvarGetNLocksUp(vars[i]) )
{
SCIP_CALL( SCIPsetSolVal(scip, locksol, vars[i], ub) );
}
else if( SCIPvarGetNLocksDown(vars[i]) < SCIPvarGetNLocksUp(vars[i]) )
{
SCIP_CALL( SCIPsetSolVal(scip, locksol, vars[i], lb) );
}
else
{
SCIP_Real solval;
solval = (lb+ub)/2.0;
/* if a tie occurs, roughly every third integer variable will be rounded up */
if( SCIPvarGetType(vars[i]) != SCIP_VARTYPE_CONTINUOUS )
solval = i % 3 == 0 ? SCIPceil(scip,solval) : SCIPfloor(scip,solval);
assert(SCIPisFeasLE(scip,SCIPvarGetLbLocal(vars[i]),solval) && SCIPisFeasLE(scip,solval,SCIPvarGetUbLocal(vars[i])));
SCIP_CALL( SCIPsetSolVal(scip, locksol, vars[i], solval) );
}
}
/* try lower bound solution */
SCIPdebugMessage("try lower bound solution\n");
SCIP_CALL( SCIPtrySol(scip, lbsol, FALSE, FALSE, TRUE, TRUE, &success) );
if( success )
{
SCIPdebugMessage("found feasible lower bound solution:\n");
SCIPdebug( SCIP_CALL( SCIPprintSol(scip, lbsol, NULL, FALSE) ) );
*result = SCIP_FOUNDSOL;
}
/* try upper bound solution */
SCIPdebugMessage("try upper bound solution\n");
SCIP_CALL( SCIPtrySol(scip, ubsol, FALSE, FALSE, TRUE, TRUE, &success) );
if( success )
{
SCIPdebugMessage("found feasible upper bound solution:\n");
SCIPdebug( SCIP_CALL( SCIPprintSol(scip, ubsol, NULL, FALSE) ) );
*result = SCIP_FOUNDSOL;
}
/* try zero solution */
if( zerovalid )
{
SCIPdebugMessage("try zero solution\n");
SCIP_CALL( SCIPtrySol(scip, zerosol, FALSE, FALSE, TRUE, TRUE, &success) );
if( success )
{
SCIPdebugMessage("found feasible zero solution:\n");
SCIPdebug( SCIP_CALL( SCIPprintSol(scip, zerosol, NULL, FALSE) ) );
*result = SCIP_FOUNDSOL;
}
}
/* try lock solution */
SCIPdebugMessage("try lock solution\n");
SCIP_CALL( SCIPtrySol(scip, locksol, FALSE, FALSE, TRUE, TRUE, &success) );
if( success )
{
SCIPdebugMessage("found feasible lock solution:\n");
SCIPdebug( SCIP_CALL( SCIPprintSol(scip, locksol, NULL, FALSE) ) );
*result = SCIP_FOUNDSOL;
}
TERMINATE:
/* free solutions */
SCIP_CALL( SCIPfreeSol(scip, &lbsol) );
SCIP_CALL( SCIPfreeSol(scip, &ubsol) );
SCIP_CALL( SCIPfreeSol(scip, &zerosol) );
SCIP_CALL( SCIPfreeSol(scip, &locksol) );
return SCIP_OKAY;
}
/** creates a subproblem for subscip by fixing a number of variables */
static
SCIP_RETCODE createSubproblem(
SCIP* scip, /**< original SCIP data structure */
SCIP* subscip, /**< SCIP data structure for the subproblem */
SCIP_VAR** subvars, /**< the variables of the subproblem */
SCIP_Real minfixingrate, /**< percentage of integer variables that have to be fixed */
unsigned int* randseed, /**< a seed value for the random number generator */
SCIP_Bool uselprows /**< should subproblem be created out of the rows in the LP rows? */
)
{
SCIP_VAR** vars; /* original scip variables */
SCIP_SOL* sol; /* pool of solutions */
SCIP_Bool* marked; /* array of markers, which variables to fixed */
SCIP_Bool fixingmarker; /* which flag should label a fixed variable? */
int nvars;
int nbinvars;
int nintvars;
int i;
int j;
int nmarkers;
/* get required data of the original problem */
SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, &nbinvars, &nintvars, NULL, NULL) );
sol = SCIPgetBestSol(scip);
assert(sol != NULL);
SCIP_CALL( SCIPallocBufferArray(scip, &marked, nbinvars+nintvars) );
if( minfixingrate > 0.5 )
{
nmarkers = nbinvars + nintvars - (int) SCIPfloor(scip, minfixingrate*(nbinvars+nintvars));
fixingmarker = FALSE;
}
else
{
nmarkers = (int) SCIPceil(scip, minfixingrate*(nbinvars+nintvars));
fixingmarker = TRUE;
}
assert( 0 <= nmarkers && nmarkers <= SCIPceil(scip,(nbinvars+nintvars)/2.0 ) );
j = 0;
BMSclearMemoryArray(marked, nbinvars+nintvars);
while( j < nmarkers )
{
do
{
i = SCIPgetRandomInt(0, nbinvars+nintvars-1, randseed);
}
while( marked[i] );
marked[i] = TRUE;
j++;
}
assert( j == nmarkers );
/* change bounds of variables of the subproblem */
for( i = 0; i < nbinvars + nintvars; i++ )
{
/* fix all randomly marked variables */
if( marked[i] == fixingmarker )
{
SCIP_Real solval;
SCIP_Real lb;
SCIP_Real ub;
solval = SCIPgetSolVal(scip, sol, vars[i]);
lb = SCIPvarGetLbGlobal(subvars[i]);
ub = SCIPvarGetUbGlobal(subvars[i]);
assert(SCIPisLE(scip, lb, ub));
/* due to dual reductions, it may happen that the solution value is not in
the variable's domain anymore */
if( SCIPisLT(scip, solval, lb) )
solval = lb;
else if( SCIPisGT(scip, solval, ub) )
solval = ub;
/* perform the bound change */
if( !SCIPisInfinity(scip, solval) && !SCIPisInfinity(scip, -solval) )
{
SCIP_CALL( SCIPchgVarLbGlobal(subscip, subvars[i], solval) );
SCIP_CALL( SCIPchgVarUbGlobal(subscip, subvars[i], solval) );
}
}
}
if( uselprows )
{
SCIP_ROW** rows; /* original scip rows */
int nrows;
/* get the rows and their number */
SCIP_CALL( SCIPgetLPRowsData(scip, &rows, &nrows) );
/* copy all rows to linear constraints */
for( i = 0; i < nrows; i++ )
{
SCIP_CONS* cons;
SCIP_VAR** consvars;
SCIP_COL** cols;
SCIP_Real constant;
SCIP_Real lhs;
SCIP_Real rhs;
SCIP_Real* vals;
int nnonz;
/* ignore rows that are only locally valid */
if( SCIProwIsLocal(rows[i]) )
continue;
/* get the row's data */
constant = SCIProwGetConstant(rows[i]);
lhs = SCIProwGetLhs(rows[i]) - constant;
rhs = SCIProwGetRhs(rows[i]) - constant;
vals = SCIProwGetVals(rows[i]);
nnonz = SCIProwGetNNonz(rows[i]);
cols = SCIProwGetCols(rows[i]);
assert( lhs <= rhs );
/* allocate memory array to be filled with the corresponding subproblem variables */
SCIP_CALL( SCIPallocBufferArray(scip, &consvars, nnonz) );
for( j = 0; j < nnonz; j++ )
consvars[j] = subvars[SCIPvarGetProbindex(SCIPcolGetVar(cols[j]))];
/* create a new linear constraint and add it to the subproblem */
SCIP_CALL( SCIPcreateConsLinear(subscip, &cons, SCIProwGetName(rows[i]), nnonz, consvars, vals, lhs, rhs,
TRUE, TRUE, TRUE, TRUE, TRUE, FALSE, FALSE, TRUE, TRUE, FALSE) );
SCIP_CALL( SCIPaddCons(subscip, cons) );
SCIP_CALL( SCIPreleaseCons(subscip, &cons) );
/* free temporary memory */
SCIPfreeBufferArray(scip, &consvars);
}
}
SCIPfreeBufferArray(scip, &marked);
return SCIP_OKAY;
}
/** node comparison method of node selector */
static
SCIP_DECL_NODESELCOMP(nodeselCompBfs)
{ /*lint --e{715}*/
SCIP_Real lowerbound1;
SCIP_Real lowerbound2;
assert(nodesel != NULL);
assert(strcmp(SCIPnodeselGetName(nodesel), NODESEL_NAME) == 0);
assert(scip != NULL);
lowerbound1 = SCIPnodeGetLowerbound(node1);
lowerbound2 = SCIPnodeGetLowerbound(node2);
if( SCIPisLT(scip, lowerbound1, lowerbound2) )
return -1;
else if( SCIPisGT(scip, lowerbound1, lowerbound2) )
return +1;
else
{
SCIP_Real estimate1;
SCIP_Real estimate2;
estimate1 = SCIPnodeGetEstimate(node1);
estimate2 = SCIPnodeGetEstimate(node2);
if( (SCIPisInfinity(scip, estimate1) && SCIPisInfinity(scip, estimate2)) ||
(SCIPisInfinity(scip, -estimate1) && SCIPisInfinity(scip, -estimate2)) ||
SCIPisEQ(scip, estimate1, estimate2) )
{
SCIP_NODETYPE nodetype1;
SCIP_NODETYPE nodetype2;
nodetype1 = SCIPnodeGetType(node1);
nodetype2 = SCIPnodeGetType(node2);
if( nodetype1 == SCIP_NODETYPE_CHILD && nodetype2 != SCIP_NODETYPE_CHILD )
return -1;
else if( nodetype1 != SCIP_NODETYPE_CHILD && nodetype2 == SCIP_NODETYPE_CHILD )
return +1;
else if( nodetype1 == SCIP_NODETYPE_SIBLING && nodetype2 != SCIP_NODETYPE_SIBLING )
return -1;
else if( nodetype1 != SCIP_NODETYPE_SIBLING && nodetype2 == SCIP_NODETYPE_SIBLING )
return +1;
else
{
int depth1;
int depth2;
depth1 = SCIPnodeGetDepth(node1);
depth2 = SCIPnodeGetDepth(node2);
if( depth1 < depth2 )
return -1;
else if( depth1 > depth2 )
return +1;
else
return 0;
}
}
if( SCIPisLT(scip, estimate1, estimate2) )
return -1;
assert(SCIPisGT(scip, estimate1, estimate2));
return +1;
}
}
/** branching execution method for external candidates */
static
SCIP_DECL_BRANCHEXECEXT(branchExecextPscost)
{ /*lint --e{715}*/
SCIP_BRANCHRULEDATA* branchruledata;
SCIP_VAR** externcands;
SCIP_Real* externcandssol;
SCIP_Real* externcandsscore;
int nprioexterncands;
SCIP_VAR* brvar;
SCIP_Real brpoint;
int nchildren;
assert(branchrule != NULL);
assert(strcmp(SCIPbranchruleGetName(branchrule), BRANCHRULE_NAME) == 0);
assert(scip != NULL);
assert(result != NULL);
branchruledata = SCIPbranchruleGetData(branchrule);
assert(branchruledata != NULL);
SCIPdebugMessage("Execext method of pscost branching\n");
/* get branching candidates */
SCIP_CALL( SCIPgetExternBranchCands(scip, &externcands, &externcandssol, &externcandsscore, NULL, &nprioexterncands, NULL, NULL, NULL) );
assert(nprioexterncands > 0);
/* get current update strategy for pseudo costs, if our multiplier rule is 'u' */
if( branchruledata->strategy == 'u' )
{
SCIP_CALL( SCIPgetCharParam(scip, "branching/lpgainnormalize", &branchruledata->updatestrategy) );
}
/* select branching variable */
SCIP_CALL( selectBranchVar(scip, branchrule, externcands, externcandssol, externcandsscore, nprioexterncands, &brvar, &brpoint) );
if( brvar == NULL )
{
SCIPerrorMessage("branchExecextPscost failed to select a branching variable from %d candidates\n", nprioexterncands);
*result = SCIP_DIDNOTRUN;
return SCIP_OKAY;
}
assert(SCIPvarIsActive(SCIPvarGetProbvar(brvar)));
SCIPdebugMessage("branching on variable <%s>: new intervals: [%g, %g] and [%g, %g]\n",
SCIPvarGetName(brvar), SCIPvarGetLbLocal(brvar), SCIPadjustedVarUb(scip, brvar, brpoint), SCIPadjustedVarLb(scip, brvar, brpoint), SCIPvarGetUbLocal(brvar));
if( branchruledata->nchildren > 2 && SCIPnodeGetDepth(SCIPgetCurrentNode(scip)) <= branchruledata->narymaxdepth )
{
/* do n-ary branching */
SCIP_Real minwidth;
minwidth = 0.0;
if( !SCIPisInfinity(scip, -SCIPvarGetLbGlobal(brvar)) && !SCIPisInfinity(scip, SCIPvarGetUbGlobal(brvar)) )
minwidth = branchruledata->naryminwidth * (SCIPvarGetUbGlobal(brvar) - SCIPvarGetLbGlobal(brvar));
SCIP_CALL( SCIPbranchVarValNary(scip, brvar, brpoint, branchruledata->nchildren, minwidth, branchruledata->narywidthfactor, &nchildren) );
}
else
{
/* do binary branching */
SCIP_CALL( SCIPbranchVarValNary(scip, brvar, brpoint, 2, 0.0, 1.0, &nchildren) );
}
if( nchildren > 1 )
{
*result = SCIP_BRANCHED;
}
else
{
/* if there are no children, then variable should have been fixed by SCIPbranchVarVal */
assert(SCIPisEQ(scip, SCIPvarGetLbLocal(brvar), SCIPvarGetUbLocal(brvar)));
*result = SCIP_REDUCEDDOM;
}
return SCIP_OKAY;
}
/** find fitting binary variable aggregation for downlock case */
static
void getBinVarIdxInDownlockRow(
SCIP* scip, /**< SCIP main data structure */
SCIPMILPMATRIX* matrix, /**< constraint matrix */
int aggvaridx, /**< index of variable which should be aggregated */
int* binvaridx, /**< pointer to store index of binary variable */
AGGRTYPE* aggtype /**< pointer to store type of aggregation */
)
{
int rowidx;
SCIP_Real coef;
int* rowpnt;
int* rowend;
SCIP_Real* valpnt;
SCIP_Real minact;
SCIP_Real maxact;
SCIP_Real lhs;
SCIP_Real ub;
assert(binvaridx != NULL);
assert(aggtype != NULL);
*binvaridx = -1;
*aggtype = NOAGG;
getDownlockRowIdx(matrix, aggvaridx, &rowidx, &coef);
if( rowidx < 0 )
return;
assert(coef > 0);
minact = SCIPmatrixGetRowMinActivity(matrix, rowidx);
maxact = SCIPmatrixGetRowMaxActivity(matrix, rowidx);
if( SCIPisInfinity(scip, -minact) || SCIPisInfinity(scip, maxact) )
return;
lhs = SCIPmatrixGetRowLhs(matrix, rowidx);
ub = SCIPmatrixGetColUb(matrix, aggvaridx);
/* search for appropriate binary variables */
rowpnt = SCIPmatrixGetRowIdxPtr(matrix, rowidx);
rowend = rowpnt + SCIPmatrixGetRowNNonzs(matrix, rowidx);
valpnt = SCIPmatrixGetRowValPtr(matrix, rowidx);
for( ; (rowpnt < rowend); rowpnt++, valpnt++ )
{
SCIP_VAR* var;
if( *rowpnt == aggvaridx )
continue;
var = SCIPmatrixGetVar(matrix, *rowpnt);
/* avoid cases where the binary variable has lb=ub=1 or lb=ub=0 */
if( SCIPvarGetType(var) == SCIP_VARTYPE_BINARY &&
SCIPmatrixGetColLb(matrix, *rowpnt) < 0.5 &&
SCIPmatrixGetColUb(matrix, *rowpnt) > 0.5 )
{
SCIP_Real bincoef;
bincoef = *valpnt;
if( bincoef < 0 )
{
/* binvar = 0 implies that the constraint is redundant */
if( SCIPisGE(scip, minact-bincoef, lhs) )
{
/* binvar = 1 implies that aggvar = ub */
SCIP_Real bnd;
bnd = (lhs - maxact + coef*ub - bincoef) / coef;
if( SCIPisGE(scip, bnd, ub) )
{
*binvaridx = *rowpnt;
*aggtype = BIN0LBOUND;
break;
}
}
}
if( bincoef > 0 )
{
/* binvar = 1 implies that the constraint is redundant */
if( SCIPisGE(scip, minact+bincoef, lhs) )
{
/* binvar = 0 implies that aggvar = ub */
SCIP_Real bnd;
bnd = (lhs - maxact + coef*ub + bincoef) / coef;
if( SCIPisGE(scip, bnd, ub) )
{
*binvaridx = *rowpnt;
*aggtype = BIN0UBOUND;
break;
}
}
}
}
}
}
/** call writing method */
static
SCIP_RETCODE writeBoundsFocusNode(
SCIP* scip, /**< SCIP data structure */
SCIP_EVENTHDLRDATA* eventhdlrdata /**< event handler data */
)
{
FILE* file;
SCIP_Bool writesubmipdualbound;
SCIP_NODE* node;
assert(scip != NULL);
assert(eventhdlrdata != NULL);
file = eventhdlrdata->file;
writesubmipdualbound = eventhdlrdata->writesubmipdualbound;
node = SCIPgetCurrentNode(scip);
/* do not process probing nodes */
if( SCIPnodeGetType(node) == SCIP_NODETYPE_PROBINGNODE )
return SCIP_OKAY;
/* do not process cutoff nodes */
if( SCIPisInfinity(scip, SCIPgetNodeDualbound(scip, node)) )
return SCIP_OKAY;
if( !SCIPisEQ(scip, eventhdlrdata->lastpb, SCIPgetPrimalbound(scip)) )
{
#ifdef LONGSTATS
SCIPinfoMessage(scip, file, "Status after %"SCIP_LONGINT_FORMAT" processed nodes (%d open)\n", SCIPgetNNodes(scip), SCIPgetNNodesLeft(scip));
SCIPinfoMessage(scip, file, "Primalbound: %g\n", SCIPgetPrimalbound(scip));
SCIPinfoMessage(scip, file, "Dualbound: %g\n", SCIPgetDualbound(scip));
#else
SCIPinfoMessage(scip, file, "PB %g\n", SCIPgetPrimalbound(scip));
#endif
eventhdlrdata->lastpb = SCIPgetPrimalbound(scip);
}
if( writesubmipdualbound )
{
SCIP* subscip;
SCIP_Bool valid;
SCIP_Real submipdb;
SCIP_Bool cutoff;
SCIP_CALL( SCIPcreate(&subscip) );
submipdb = SCIP_INVALID;
valid = FALSE;
cutoff = FALSE;
SCIP_CALL( SCIPcopy(scip, subscip, NULL, NULL, "__boundwriting", FALSE, FALSE, TRUE, &valid) );
if( valid )
{
/* do not abort subproblem on CTRL-C */
SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );
/* disable output to console */
SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );
/* solve only root node */
SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", 1LL) );
#if 0
/* disable heuristics in subscip */
SCIP_CALL( SCIPsetHeuristics(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
#endif
/* set cutoffbound as objective limit for subscip */
SCIP_CALL( SCIPsetObjlimit(subscip, SCIPgetCutoffbound(scip)) );
SCIP_CALL( SCIPsolve(subscip) );
cutoff = (SCIPgetStatus(subscip) == SCIP_STATUS_INFEASIBLE);
submipdb = SCIPgetDualbound(subscip) * SCIPgetTransObjscale(scip) + SCIPgetTransObjoffset(scip);
}
#ifdef LONGSTATS
SCIPinfoMessage(scip, file, "Node %"SCIP_LONGINT_FORMAT" (depth %d): dualbound: %g, nodesubmiprootdualbound: %g %s\n", SCIPnodeGetNumber(node), SCIPnodeGetDepth(node), SCIPgetNodeDualbound(scip, node), submipdb, cutoff ? "(cutoff)" : "");
#else
SCIPinfoMessage(scip, file, "%"SCIP_LONGINT_FORMAT" %d %g %g %s\n", SCIPnodeGetNumber(node), SCIPnodeGetDepth(node), SCIPgetNodeDualbound(scip, node), submipdb, cutoff ? "(cutoff)" : "");
#endif
SCIP_CALL( SCIPfree(&subscip) );
}
else
{
#ifdef LONGSTATS
SCIPinfoMessage(scip, file, "Node %"SCIP_LONGINT_FORMAT" (depth %d): dualbound: %g\n", SCIPnodeGetNumber(node), SCIPnodeGetDepth(node), SCIPgetNodeDualbound(scip, node));
#else
SCIPinfoMessage(scip, file, "%"SCIP_LONGINT_FORMAT" %d %g\n", SCIPnodeGetNumber(node), SCIPnodeGetDepth(node), SCIPgetNodeDualbound(scip, node));
#endif
}
#ifdef LONGSTATS
SCIPinfoMessage(scip, file, "\n");
#endif
return SCIP_OKAY;
}
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecOneopt)
{ /*lint --e{715}*/
SCIP_HEURDATA* heurdata;
SCIP_SOL* bestsol; /* incumbent solution */
SCIP_SOL* worksol; /* heuristic's working solution */
SCIP_VAR** vars; /* SCIP variables */
SCIP_VAR** shiftcands; /* shiftable variables */
SCIP_ROW** lprows; /* SCIP LP rows */
SCIP_Real* activities; /* row activities for working solution */
SCIP_Real* shiftvals;
SCIP_Real lb;
SCIP_Real ub;
SCIP_Bool localrows;
SCIP_Bool valid;
int nchgbound;
int nbinvars;
int nintvars;
int nvars;
int nlprows;
int i;
int nshiftcands;
int shiftcandssize;
SCIP_RETCODE retcode;
assert(heur != NULL);
assert(scip != NULL);
assert(result != NULL);
/* get heuristic's data */
heurdata = SCIPheurGetData(heur);
assert(heurdata != NULL);
*result = SCIP_DELAYED;
/* we only want to process each solution once */
bestsol = SCIPgetBestSol(scip);
if( bestsol == NULL || heurdata->lastsolindex == SCIPsolGetIndex(bestsol) )
return SCIP_OKAY;
/* reset the timing mask to its default value (at the root node it could be different) */
if( SCIPgetNNodes(scip) > 1 )
SCIPheurSetTimingmask(heur, HEUR_TIMING);
/* get problem variables */
SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, &nbinvars, &nintvars, NULL, NULL) );
nintvars += nbinvars;
/* do not run if there are no discrete variables */
if( nintvars == 0 )
{
*result = SCIP_DIDNOTRUN;
return SCIP_OKAY;
}
if( heurtiming == SCIP_HEURTIMING_BEFOREPRESOL )
{
SCIP* subscip; /* the subproblem created by zeroobj */
SCIP_HASHMAP* varmapfw; /* mapping of SCIP variables to sub-SCIP variables */
SCIP_VAR** subvars; /* subproblem's variables */
SCIP_Real* subsolvals; /* solution values of the subproblem */
SCIP_Real timelimit; /* time limit for zeroobj subproblem */
SCIP_Real memorylimit; /* memory limit for zeroobj subproblem */
SCIP_SOL* startsol;
SCIP_SOL** subsols;
int nsubsols;
if( !heurdata->beforepresol )
return SCIP_OKAY;
/* check whether there is enough time and memory left */
timelimit = 0.0;
memorylimit = 0.0;
SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
if( !SCIPisInfinity(scip, timelimit) )
timelimit -= SCIPgetSolvingTime(scip);
SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );
/* substract the memory already used by the main SCIP and the estimated memory usage of external software */
if( !SCIPisInfinity(scip, memorylimit) )
{
memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
memorylimit -= SCIPgetMemExternEstim(scip)/1048576.0;
}
/* abort if no time is left or not enough memory to create a copy of SCIP, including external memory usage */
if( timelimit <= 0.0 || memorylimit <= 2.0*SCIPgetMemExternEstim(scip)/1048576.0 )
return SCIP_OKAY;
/* initialize the subproblem */
SCIP_CALL( SCIPcreate(&subscip) );
/* create the variable mapping hash map */
SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );
/* copy complete SCIP instance */
valid = FALSE;
SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "oneopt", TRUE, FALSE, TRUE, &valid) );
SCIP_CALL( SCIPtransformProb(subscip) );
/* get variable image */
for( i = 0; i < nvars; i++ )
subvars[i] = (SCIP_VAR*) SCIPhashmapGetImage(varmapfw, vars[i]);
/* copy the solution */
SCIP_CALL( SCIPallocBufferArray(scip, &subsolvals, nvars) );
SCIP_CALL( SCIPgetSolVals(scip, bestsol, nvars, vars, subsolvals) );
/* create start solution for the subproblem */
SCIP_CALL( SCIPcreateOrigSol(subscip, &startsol, NULL) );
SCIP_CALL( SCIPsetSolVals(subscip, startsol, nvars, subvars, subsolvals) );
/* try to add new solution to sub-SCIP and free it immediately */
valid = FALSE;
SCIP_CALL( SCIPtrySolFree(subscip, &startsol, FALSE, FALSE, FALSE, FALSE, &valid) );
SCIPfreeBufferArray(scip, &subsolvals);
SCIPhashmapFree(&varmapfw);
/* disable statistic timing inside sub SCIP */
SCIP_CALL( SCIPsetBoolParam(subscip, "timing/statistictiming", FALSE) );
/* deactivate basically everything except oneopt in the sub-SCIP */
SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
SCIP_CALL( SCIPsetHeuristics(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", 1LL) );
SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );
SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );
SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );
/* if necessary, some of the parameters have to be unfixed first */
if( SCIPisParamFixed(subscip, "lp/solvefreq") )
{
SCIPwarningMessage(scip, "unfixing parameter lp/solvefreq in subscip of oneopt heuristic\n");
SCIP_CALL( SCIPunfixParam(subscip, "lp/solvefreq") );
}
SCIP_CALL( SCIPsetIntParam(subscip, "lp/solvefreq", -1) );
if( SCIPisParamFixed(subscip, "heuristics/oneopt/freq") )
{
SCIPwarningMessage(scip, "unfixing parameter heuristics/oneopt/freq in subscip of oneopt heuristic\n");
SCIP_CALL( SCIPunfixParam(subscip, "heuristics/oneopt/freq") );
}
SCIP_CALL( SCIPsetIntParam(subscip, "heuristics/oneopt/freq", 1) );
if( SCIPisParamFixed(subscip, "heuristics/oneopt/forcelpconstruction") )
{
SCIPwarningMessage(scip, "unfixing parameter heuristics/oneopt/forcelpconstruction in subscip of oneopt heuristic\n");
SCIP_CALL( SCIPunfixParam(subscip, "heuristics/oneopt/forcelpconstruction") );
}
SCIP_CALL( SCIPsetBoolParam(subscip, "heuristics/oneopt/forcelpconstruction", TRUE) );
/* avoid recursive call, which would lead to an endless loop */
if( SCIPisParamFixed(subscip, "heuristics/oneopt/beforepresol") )
{
SCIPwarningMessage(scip, "unfixing parameter heuristics/oneopt/beforepresol in subscip of oneopt heuristic\n");
SCIP_CALL( SCIPunfixParam(subscip, "heuristics/oneopt/beforepresol") );
}
SCIP_CALL( SCIPsetBoolParam(subscip, "heuristics/oneopt/beforepresol", FALSE) );
if( valid )
{
retcode = SCIPsolve(subscip);
/* errors in solving the subproblem should not kill the overall solving process;
* hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
*/
if( retcode != SCIP_OKAY )
{
#ifndef NDEBUG
SCIP_CALL( retcode );
#endif
SCIPwarningMessage(scip, "Error while solving subproblem in zeroobj heuristic; sub-SCIP terminated with code <%d>\n",retcode);
}
#ifdef SCIP_DEBUG
SCIP_CALL( SCIPprintStatistics(subscip, NULL) );
#endif
}
/* check, whether a solution was found;
* due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted
*/
nsubsols = SCIPgetNSols(subscip);
subsols = SCIPgetSols(subscip);
valid = FALSE;
for( i = 0; i < nsubsols && !valid; ++i )
{
SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &valid) );
if( valid )
*result = SCIP_FOUNDSOL;
}
/* free subproblem */
SCIPfreeBufferArray(scip, &subvars);
SCIP_CALL( SCIPfree(&subscip) );
return SCIP_OKAY;
}
/* we can only work on solutions valid in the transformed space */
if( SCIPsolIsOriginal(bestsol) )
return SCIP_OKAY;
if( heurtiming == SCIP_HEURTIMING_BEFORENODE && (SCIPhasCurrentNodeLP(scip) || heurdata->forcelpconstruction) )
{
SCIP_Bool cutoff;
cutoff = FALSE;
SCIP_CALL( SCIPconstructLP(scip, &cutoff) );
SCIP_CALL( SCIPflushLP(scip) );
/* get problem variables again, SCIPconstructLP() might have added new variables */
SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, &nbinvars, &nintvars, NULL, NULL) );
nintvars += nbinvars;
}
/* we need an LP */
if( SCIPgetNLPRows(scip) == 0 )
return SCIP_OKAY;
*result = SCIP_DIDNOTFIND;
nchgbound = 0;
/* initialize data */
nshiftcands = 0;
shiftcandssize = 8;
heurdata->lastsolindex = SCIPsolGetIndex(bestsol);
SCIP_CALL( SCIPcreateSolCopy(scip, &worksol, bestsol) );
SCIPsolSetHeur(worksol,heur);
SCIPdebugMessage("Starting bound adjustment in 1-opt heuristic\n");
/* maybe change solution values due to global bound changes first */
for( i = nvars - 1; i >= 0; --i )
{
SCIP_VAR* var;
SCIP_Real solval;
var = vars[i];
lb = SCIPvarGetLbGlobal(var);
ub = SCIPvarGetUbGlobal(var);
solval = SCIPgetSolVal(scip, bestsol,var);
/* old solution value is smaller than the actual lower bound */
if( SCIPisFeasLT(scip, solval, lb) )
{
/* set the solution value to the global lower bound */
SCIP_CALL( SCIPsetSolVal(scip, worksol, var, lb) );
++nchgbound;
SCIPdebugMessage("var <%s> type %d, old solval %g now fixed to lb %g\n", SCIPvarGetName(var), SCIPvarGetType(var), solval, lb);
}
/* old solution value is greater than the actual upper bound */
else if( SCIPisFeasGT(scip, solval, SCIPvarGetUbGlobal(var)) )
{
/* set the solution value to the global upper bound */
SCIP_CALL( SCIPsetSolVal(scip, worksol, var, ub) );
++nchgbound;
SCIPdebugMessage("var <%s> type %d, old solval %g now fixed to ub %g\n", SCIPvarGetName(var), SCIPvarGetType(var), solval, ub);
}
}
SCIPdebugMessage("number of bound changes (due to global bounds) = %d\n", nchgbound);
SCIP_CALL( SCIPgetLPRowsData(scip, &lprows, &nlprows) );
SCIP_CALL( SCIPallocBufferArray(scip, &activities, nlprows) );
localrows = FALSE;
valid = TRUE;
/* initialize activities */
for( i = 0; i < nlprows; ++i )
{
SCIP_ROW* row;
row = lprows[i];
assert(SCIProwGetLPPos(row) == i);
if( !SCIProwIsLocal(row) )
{
activities[i] = SCIPgetRowSolActivity(scip, row, worksol);
SCIPdebugMessage("Row <%s> has activity %g\n", SCIProwGetName(row), activities[i]);
if( SCIPisFeasLT(scip, activities[i], SCIProwGetLhs(row)) || SCIPisFeasGT(scip, activities[i], SCIProwGetRhs(row)) )
{
valid = FALSE;
SCIPdebug( SCIP_CALL( SCIPprintRow(scip, row, NULL) ) );
SCIPdebugMessage("row <%s> activity %g violates bounds, lhs = %g, rhs = %g\n", SCIProwGetName(row), activities[i], SCIProwGetLhs(row), SCIProwGetRhs(row));
break;
}
}
else
localrows = TRUE;
}
if( !valid )
{
/** @todo try to correct lp rows */
SCIPdebugMessage("Some global bound changes were not valid in lp rows.\n");
goto TERMINATE;
}
SCIP_CALL( SCIPallocBufferArray(scip, &shiftcands, shiftcandssize) );
SCIP_CALL( SCIPallocBufferArray(scip, &shiftvals, shiftcandssize) );
SCIPdebugMessage("Starting 1-opt heuristic\n");
/* enumerate all integer variables and find out which of them are shiftable */
for( i = 0; i < nintvars; i++ )
{
if( SCIPvarGetStatus(vars[i]) == SCIP_VARSTATUS_COLUMN )
{
SCIP_Real shiftval;
SCIP_Real solval;
/* find out whether the variable can be shifted */
solval = SCIPgetSolVal(scip, worksol, vars[i]);
shiftval = calcShiftVal(scip, vars[i], solval, activities);
/* insert the variable into the list of shifting candidates */
if( !SCIPisFeasZero(scip, shiftval) )
{
SCIPdebugMessage(" -> Variable <%s> can be shifted by <%1.1f> \n", SCIPvarGetName(vars[i]), shiftval);
if( nshiftcands == shiftcandssize)
{
shiftcandssize *= 8;
SCIP_CALL( SCIPreallocBufferArray(scip, &shiftcands, shiftcandssize) );
SCIP_CALL( SCIPreallocBufferArray(scip, &shiftvals, shiftcandssize) );
}
shiftcands[nshiftcands] = vars[i];
shiftvals[nshiftcands] = shiftval;
nshiftcands++;
}
}
}
/* if at least one variable can be shifted, shift variables sorted by their objective */
if( nshiftcands > 0 )
{
SCIP_Real shiftval;
SCIP_Real solval;
SCIP_VAR* var;
/* the case that exactly one variable can be shifted is slightly easier */
if( nshiftcands == 1 )
{
var = shiftcands[0];
assert(var != NULL);
solval = SCIPgetSolVal(scip, worksol, var);
shiftval = shiftvals[0];
assert(!SCIPisFeasZero(scip,shiftval));
SCIPdebugMessage(" Only one shiftcand found, var <%s>, which is now shifted by<%1.1f> \n",
SCIPvarGetName(var), shiftval);
SCIP_CALL( SCIPsetSolVal(scip, worksol, var, solval+shiftval) );
}
else
{
SCIP_Real* objcoeffs;
SCIP_CALL( SCIPallocBufferArray(scip, &objcoeffs, nshiftcands) );
SCIPdebugMessage(" %d shiftcands found \n", nshiftcands);
/* sort the variables by their objective, optionally weighted with the shiftval */
if( heurdata->weightedobj )
{
for( i = 0; i < nshiftcands; ++i )
objcoeffs[i] = SCIPvarGetObj(shiftcands[i])*shiftvals[i];
}
else
{
for( i = 0; i < nshiftcands; ++i )
objcoeffs[i] = SCIPvarGetObj(shiftcands[i]);
}
/* sort arrays with respect to the first one */
SCIPsortRealPtr(objcoeffs, (void**)shiftcands, nshiftcands);
/* try to shift each variable -> Activities have to be updated */
for( i = 0; i < nshiftcands; ++i )
{
var = shiftcands[i];
assert(var != NULL);
solval = SCIPgetSolVal(scip, worksol, var);
shiftval = calcShiftVal(scip, var, solval, activities);
SCIPdebugMessage(" -> Variable <%s> is now shifted by <%1.1f> \n", SCIPvarGetName(vars[i]), shiftval);
assert(i > 0 || !SCIPisFeasZero(scip, shiftval));
assert(SCIPisFeasGE(scip, solval+shiftval, SCIPvarGetLbGlobal(var)) && SCIPisFeasLE(scip, solval+shiftval, SCIPvarGetUbGlobal(var)));
SCIP_CALL( SCIPsetSolVal(scip, worksol, var, solval+shiftval) );
SCIP_CALL( updateRowActivities(scip, activities, var, shiftval) );
}
SCIPfreeBufferArray(scip, &objcoeffs);
}
/* if the problem is a pure IP, try to install the solution, if it is a MIP, solve LP again to set the continuous
* variables to the best possible value
*/
if( nvars == nintvars || !SCIPhasCurrentNodeLP(scip) || SCIPgetLPSolstat(scip) != SCIP_LPSOLSTAT_OPTIMAL )
{
SCIP_Bool success;
/* since we ignore local rows, we cannot guarantee their feasibility and have to set the checklprows flag to
* TRUE if local rows are present
*/
SCIP_CALL( SCIPtrySol(scip, worksol, FALSE, FALSE, FALSE, localrows, &success) );
if( success )
{
SCIPdebugMessage("found feasible shifted solution:\n");
SCIPdebug( SCIP_CALL( SCIPprintSol(scip, worksol, NULL, FALSE) ) );
heurdata->lastsolindex = SCIPsolGetIndex(bestsol);
*result = SCIP_FOUNDSOL;
}
}
else
{
SCIP_Bool lperror;
#ifdef NDEBUG
SCIP_RETCODE retstat;
#endif
SCIPdebugMessage("shifted solution should be feasible -> solve LP to fix continuous variables to best values\n");
/* start diving to calculate the LP relaxation */
SCIP_CALL( SCIPstartDive(scip) );
/* set the bounds of the variables: fixed for integers, global bounds for continuous */
for( i = 0; i < nvars; ++i )
{
if( SCIPvarGetStatus(vars[i]) == SCIP_VARSTATUS_COLUMN )
{
SCIP_CALL( SCIPchgVarLbDive(scip, vars[i], SCIPvarGetLbGlobal(vars[i])) );
SCIP_CALL( SCIPchgVarUbDive(scip, vars[i], SCIPvarGetUbGlobal(vars[i])) );
}
}
/* apply this after global bounds to not cause an error with intermediate empty domains */
for( i = 0; i < nintvars; ++i )
{
if( SCIPvarGetStatus(vars[i]) == SCIP_VARSTATUS_COLUMN )
{
solval = SCIPgetSolVal(scip, worksol, vars[i]);
SCIP_CALL( SCIPchgVarLbDive(scip, vars[i], solval) );
SCIP_CALL( SCIPchgVarUbDive(scip, vars[i], solval) );
}
}
/* solve LP */
SCIPdebugMessage(" -> old LP iterations: %" SCIP_LONGINT_FORMAT "\n", SCIPgetNLPIterations(scip));
/**@todo in case of an MINLP, if SCIPisNLPConstructed() is TRUE, say, rather solve the NLP instead of the 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
retstat = SCIPsolveDiveLP(scip, -1, &lperror, NULL);
if( retstat != SCIP_OKAY )
{
SCIPwarningMessage(scip, "Error while solving LP in Oneopt heuristic; LP solve terminated with code <%d>\n",retstat);
}
#else
SCIP_CALL( SCIPsolveDiveLP(scip, -1, &lperror, NULL) );
#endif
SCIPdebugMessage(" -> new LP iterations: %" SCIP_LONGINT_FORMAT "\n", SCIPgetNLPIterations(scip));
SCIPdebugMessage(" -> error=%u, status=%d\n", lperror, SCIPgetLPSolstat(scip));
/* check if this is a feasible solution */
if( !lperror && SCIPgetLPSolstat(scip) == SCIP_LPSOLSTAT_OPTIMAL )
{
SCIP_Bool success;
/* copy the current LP solution to the working solution */
SCIP_CALL( SCIPlinkLPSol(scip, worksol) );
SCIP_CALL( SCIPtrySol(scip, worksol, FALSE, FALSE, FALSE, FALSE, &success) );
/* check solution for feasibility */
if( success )
{
SCIPdebugMessage("found feasible shifted solution:\n");
SCIPdebug( SCIP_CALL( SCIPprintSol(scip, worksol, NULL, FALSE) ) );
heurdata->lastsolindex = SCIPsolGetIndex(bestsol);
*result = SCIP_FOUNDSOL;
}
}
/* terminate the diving */
SCIP_CALL( SCIPendDive(scip) );
}
}
SCIPdebugMessage("Finished 1-opt heuristic\n");
SCIPfreeBufferArray(scip, &shiftvals);
SCIPfreeBufferArray(scip, &shiftcands);
TERMINATE:
SCIPfreeBufferArray(scip, &activities);
SCIP_CALL( SCIPfreeSol(scip, &worksol) );
return SCIP_OKAY;
}
/** main procedure of the zeroobj heuristic, creates and solves a sub-SCIP */
SCIP_RETCODE SCIPapplyZeroobj(
SCIP* scip, /**< original SCIP data structure */
SCIP_HEUR* heur, /**< heuristic data structure */
SCIP_RESULT* result, /**< result data structure */
SCIP_Real minimprove, /**< factor by which zeroobj should at least improve the incumbent */
SCIP_Longint nnodes /**< node limit for the subproblem */
)
{
SCIP* subscip; /* the subproblem created by zeroobj */
SCIP_HASHMAP* varmapfw; /* mapping of SCIP variables to sub-SCIP variables */
SCIP_VAR** vars; /* original problem's variables */
SCIP_VAR** subvars; /* subproblem's variables */
SCIP_HEURDATA* heurdata; /* heuristic's private data structure */
SCIP_EVENTHDLR* eventhdlr; /* event handler for LP events */
SCIP_Real cutoff; /* objective cutoff for the subproblem */
SCIP_Real timelimit; /* time limit for zeroobj subproblem */
SCIP_Real memorylimit; /* memory limit for zeroobj subproblem */
SCIP_Real large;
int nvars; /* number of original problem's variables */
int i;
SCIP_Bool success;
SCIP_Bool valid;
SCIP_RETCODE retcode;
SCIP_SOL** subsols;
int nsubsols;
assert(scip != NULL);
assert(heur != NULL);
assert(result != NULL);
assert(nnodes >= 0);
assert(0.0 <= minimprove && minimprove <= 1.0);
*result = SCIP_DIDNOTRUN;
/* only call heuristic once at the root */
if( SCIPgetDepth(scip) <= 0 && SCIPheurGetNCalls(heur) > 0 )
return SCIP_OKAY;
/* get heuristic data */
heurdata = SCIPheurGetData(heur);
assert(heurdata != NULL);
/* only call the heuristic if we do not have an incumbent */
if( SCIPgetNSolsFound(scip) > 0 && heurdata->onlywithoutsol )
return SCIP_OKAY;
/* check whether there is enough time and memory left */
timelimit = 0.0;
memorylimit = 0.0;
SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
if( !SCIPisInfinity(scip, timelimit) )
timelimit -= SCIPgetSolvingTime(scip);
SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );
/* substract the memory already used by the main SCIP and the estimated memory usage of external software */
if( !SCIPisInfinity(scip, memorylimit) )
{
memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
memorylimit -= SCIPgetMemExternEstim(scip)/1048576.0;
}
/* abort if no time is left or not enough memory to create a copy of SCIP, including external memory usage */
if( timelimit <= 0.0 || memorylimit <= 2.0*SCIPgetMemExternEstim(scip)/1048576.0 )
return SCIP_OKAY;
*result = SCIP_DIDNOTFIND;
/* get variable data */
SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, NULL, NULL, NULL, NULL) );
/* initialize the subproblem */
SCIP_CALL( SCIPcreate(&subscip) );
/* create the variable mapping hash map */
SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );
/* different methods to create sub-problem: either copy LP relaxation or the CIP with all constraints */
valid = FALSE;
/* copy complete SCIP instance */
SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "zeroobj", TRUE, FALSE, TRUE, &valid) );
SCIPdebugMessage("Copying the SCIP instance was %s complete.\n", valid ? "" : "not ");
/* create event handler for LP events */
eventhdlr = NULL;
SCIP_CALL( SCIPincludeEventhdlrBasic(subscip, &eventhdlr, EVENTHDLR_NAME, EVENTHDLR_DESC, eventExecZeroobj, NULL) );
if( eventhdlr == NULL )
{
SCIPerrorMessage("event handler for "HEUR_NAME" heuristic not found.\n");
return SCIP_PLUGINNOTFOUND;
}
/* determine large value to set variables to */
large = SCIPinfinity(scip);
if( !SCIPisInfinity(scip, 0.1 / SCIPfeastol(scip)) )
large = 0.1 / SCIPfeastol(scip);
/* get variable image and change to 0.0 in sub-SCIP */
for( i = 0; i < nvars; i++ )
{
SCIP_Real adjustedbound;
SCIP_Real lb;
SCIP_Real ub;
SCIP_Real inf;
subvars[i] = (SCIP_VAR*) SCIPhashmapGetImage(varmapfw, vars[i]);
SCIP_CALL( SCIPchgVarObj(subscip, subvars[i], 0.0) );
lb = SCIPvarGetLbGlobal(subvars[i]);
ub = SCIPvarGetUbGlobal(subvars[i]);
inf = SCIPinfinity(subscip);
/* adjust infinite bounds in order to avoid that variables with non-zero objective
* get fixed to infinite value in zeroobj subproblem
*/
if( SCIPisInfinity(subscip, ub ) )
{
adjustedbound = MAX(large, lb+large);
adjustedbound = MIN(adjustedbound, inf);
SCIP_CALL( SCIPchgVarUbGlobal(subscip, subvars[i], adjustedbound) );
}
if( SCIPisInfinity(subscip, -lb ) )
{
adjustedbound = MIN(-large, ub-large);
adjustedbound = MAX(adjustedbound, -inf);
SCIP_CALL( SCIPchgVarLbGlobal(subscip, subvars[i], adjustedbound) );
}
}
/* free hash map */
SCIPhashmapFree(&varmapfw);
/* do not abort subproblem on CTRL-C */
SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );
/* disable output to console */
SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );
/* set limits for the subproblem */
SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", nnodes) );
SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );
SCIP_CALL( SCIPsetIntParam(subscip, "limits/solutions", 1) );
/* forbid recursive call of heuristics and separators solving sub-SCIPs */
SCIP_CALL( SCIPsetSubscipsOff(subscip, TRUE) );
/* disable expensive techniques that merely work on the dual bound */
/* disable cutting plane separation */
SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
/* disable expensive presolving */
SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_FAST, TRUE) );
if( !SCIPisParamFixed(subscip, "presolving/maxrounds") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "presolving/maxrounds", 50) );
}
/* use best dfs node selection */
if( SCIPfindNodesel(subscip, "dfs") != NULL && !SCIPisParamFixed(subscip, "nodeselection/dfs/stdpriority") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "nodeselection/dfs/stdpriority", INT_MAX/4) );
}
/* use inference branching */
if( SCIPfindBranchrule(subscip, "inference") != NULL && !SCIPisParamFixed(subscip, "branching/inference/priority") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "branching/leastinf/priority", INT_MAX/4) );
}
/* employ a limit on the number of enforcement rounds in the quadratic constraint handler; this fixes the issue that
* sometimes the quadratic constraint handler needs hundreds or thousands of enforcement rounds to determine the
* feasibility status of a single node without fractional branching candidates by separation (namely for uflquad
* instances); however, the solution status of the sub-SCIP might get corrupted by this; hence no deductions shall be
* made for the original SCIP
*/
if( SCIPfindConshdlr(subscip, "quadratic") != NULL && !SCIPisParamFixed(subscip, "constraints/quadratic/enfolplimit") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "constraints/quadratic/enfolplimit", 10) );
}
/* disable feaspump and fracdiving */
if( !SCIPisParamFixed(subscip, "heuristics/feaspump/freq") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "heuristics/feaspump/freq", -1) );
}
if( !SCIPisParamFixed(subscip, "heuristics/fracdiving/freq") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "heuristics/fracdiving/freq", -1) );
}
/* restrict LP iterations */
SCIP_CALL( SCIPsetLongintParam(subscip, "lp/iterlim", 2*heurdata->maxlpiters / MAX(1,nnodes)) );
SCIP_CALL( SCIPsetLongintParam(subscip, "lp/rootiterlim", heurdata->maxlpiters) );
#ifdef SCIP_DEBUG
/* for debugging zeroobj, enable MIP output */
SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 5) );
SCIP_CALL( SCIPsetIntParam(subscip, "display/freq", 100000000) );
#endif
/* if there is already a solution, add an objective cutoff */
if( SCIPgetNSols(scip) > 0 )
{
SCIP_Real upperbound;
SCIP_CONS* origobjcons;
#ifndef NDEBUG
int nobjvars;
nobjvars = 0;
#endif
cutoff = SCIPinfinity(scip);
assert( !SCIPisInfinity(scip,SCIPgetUpperbound(scip)) );
upperbound = SCIPgetUpperbound(scip) - SCIPsumepsilon(scip);
if( !SCIPisInfinity(scip,-1.0*SCIPgetLowerbound(scip)) )
{
cutoff = (1-minimprove)*SCIPgetUpperbound(scip) + minimprove*SCIPgetLowerbound(scip);
}
else
{
if( SCIPgetUpperbound(scip) >= 0 )
cutoff = ( 1 - minimprove ) * SCIPgetUpperbound ( scip );
else
cutoff = ( 1 + minimprove ) * SCIPgetUpperbound ( scip );
}
cutoff = MIN(upperbound, cutoff);
SCIP_CALL( SCIPcreateConsLinear(subscip, &origobjcons, "objbound_of_origscip", 0, NULL, NULL, -SCIPinfinity(subscip), cutoff,
TRUE, TRUE, TRUE, TRUE, TRUE, FALSE, FALSE, FALSE, FALSE, FALSE) );
for( i = 0; i < nvars; ++i)
{
if( !SCIPisFeasZero(subscip, SCIPvarGetObj(vars[i])) )
{
SCIP_CALL( SCIPaddCoefLinear(subscip, origobjcons, subvars[i], SCIPvarGetObj(vars[i])) );
#ifndef NDEBUG
nobjvars++;
#endif
}
}
SCIP_CALL( SCIPaddCons(subscip, origobjcons) );
SCIP_CALL( SCIPreleaseCons(subscip, &origobjcons) );
assert(nobjvars == SCIPgetNObjVars(scip));
}
/* catch LP events of sub-SCIP */
SCIP_CALL( SCIPtransformProb(subscip) );
SCIP_CALL( SCIPcatchEvent(subscip, SCIP_EVENTTYPE_NODESOLVED, eventhdlr, (SCIP_EVENTDATA*) heurdata, NULL) );
SCIPdebugMessage("solving subproblem: nnodes=%"SCIP_LONGINT_FORMAT"\n", nnodes);
retcode = SCIPsolve(subscip);
/* drop LP events of sub-SCIP */
SCIP_CALL( SCIPdropEvent(subscip, SCIP_EVENTTYPE_NODESOLVED, eventhdlr, (SCIP_EVENTDATA*) heurdata, -1) );
/* errors in solving the subproblem should not kill the overall solving process;
* hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
*/
if( retcode != SCIP_OKAY )
{
#ifndef NDEBUG
SCIP_CALL( retcode );
#endif
SCIPwarningMessage(scip, "Error while solving subproblem in zeroobj heuristic; sub-SCIP terminated with code <%d>\n",retcode);
}
/* check, whether a solution was found;
* due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted
*/
nsubsols = SCIPgetNSols(subscip);
subsols = SCIPgetSols(subscip);
success = FALSE;
for( i = 0; i < nsubsols && (!success || heurdata->addallsols); ++i )
{
SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &success) );
if( success )
*result = SCIP_FOUNDSOL;
}
#ifdef SCIP_DEBUG
SCIP_CALL( SCIPprintStatistics(subscip, NULL) );
#endif
/* free subproblem */
SCIPfreeBufferArray(scip, &subvars);
SCIP_CALL( SCIPfree(&subscip) );
return SCIP_OKAY;
}
/** selects the branching variable from given candidate array */
static
SCIP_RETCODE selectBranchVar(
SCIP* scip, /**< SCIP data structure */
SCIP_BRANCHRULE* branchrule, /**< branching rule */
SCIP_VAR** cands, /**< array of branching candidates */
SCIP_Real* candssol, /**< array of candidate solution values */
SCIP_Real* candsscore, /**< array of candidate scores */
int ncands, /**< the number of candidates */
SCIP_VAR** brvar, /**< pointer to store the selected branching candidate or NULL if none */
SCIP_Real* brpoint /**< pointer to store branching point of selected branching variable */
)
{ /*lint --e{850}*/
SCIP_BRANCHRULEDATA* branchruledata;
SCIP_VAR* cand;
SCIP_Real candsol;
SCIP_Real bestbranchscore;
SCIP_Real scoremin;
SCIP_Real scoresum;
SCIP_Real scoremax;
SCIP_VAR** candssorted;
int* candsorigidx;
int i;
int j;
assert(brvar != NULL);
assert(brpoint != NULL);
(*brvar) = NULL;
(*brpoint) = SCIP_INVALID;
if( ncands == 0 )
return SCIP_OKAY;
branchruledata = SCIPbranchruleGetData(branchrule);
assert(branchruledata != NULL);
/* sort branching candidates (in a copy), such that same variables are on consecutive positions */
SCIP_CALL( SCIPduplicateBufferArray(scip, &candssorted, cands, ncands) );
SCIP_CALL( SCIPallocBufferArray(scip, &candsorigidx, ncands) );
for( i = 0; i < ncands; ++i )
candsorigidx[i] = i;
SCIPsortPtrInt((void**)candssorted, candsorigidx, SCIPvarComp, ncands);
bestbranchscore = -1.0;
for( i = 0; i < ncands; ++i )
{
cand = candssorted[i];
/* there should be no fixed branching candidates */
assert(!SCIPisEQ(scip, SCIPvarGetLbLocal(cand), SCIPvarGetUbLocal(cand)));
/* compute min, sum, and max of all registered scores for this variables
* set candsol to a valid value, if someone registered one */
scoremin = candsscore[candsorigidx[i]];
scoresum = scoremin;
scoremax = scoremin;
candsol = candssol[candsorigidx[i]];
for( j = i+1 ; j < ncands && SCIPvarCompare(candssorted[j], cand) == 0; ++j )
{
assert(candsscore[candsorigidx[j]] >= 0.0);
scoresum += candsscore[candsorigidx[j]];
if( candsscore[candsorigidx[j]] < scoremin )
scoremin = candsscore[candsorigidx[j]];
else if( candsscore[candsorigidx[j]] > scoremax )
scoremax = candsscore[candsorigidx[j]];
/* @todo if there are two valid externcandssol available for the same variable, should we take the one closer to the middle of the domain? */
if( SCIPisInfinity(scip, REALABS(candsol)) )
candsol = candssol[candsorigidx[j]];
}
/* set i to last occurrence of cand in candssorted (instead of first one as before), so in next round we look at another variable */
i = j-1;
assert(candssorted[i] == cand);
/* check if new candidate is better than previous candidate (if any) */
SCIP_CALL( updateBestCandidate(scip, branchruledata, brvar, brpoint, &bestbranchscore, cand, scoremin, scoremax, scoresum, candsol) );
}
/* there were candidates, but no variable was selected; this can only happen if the branching points are huge values
* for all variables on which we cannot branch
* @todo delay the node?
*/
if( (*brvar) == NULL )
{
SCIPerrorMessage("no branching could be created: all external candidates have huge bounds\n");
SCIPABORT();
return SCIP_BRANCHERROR; /*lint !e527*/
}
/* free buffer arrays */
SCIPfreeBufferArray(scip, &candssorted);
SCIPfreeBufferArray(scip, &candsorigidx);
return SCIP_OKAY;
}
/** 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;
}
/** checks if a given branching candidate is better than a previous one and updates the best branching candidate accordingly */
static
SCIP_RETCODE updateBestCandidate(
SCIP* scip, /**< SCIP data structure */
SCIP_BRANCHRULEDATA* branchruledata, /**< branching rule data */
SCIP_VAR** bestvar, /**< best branching candidate */
SCIP_Real* bestbrpoint, /**< branching point for best branching candidate */
SCIP_Real* bestscore, /**< score of best branching candidate */
SCIP_VAR* cand, /**< branching candidate to consider */
SCIP_Real candscoremin, /**< minimal score of branching candidate */
SCIP_Real candscoremax, /**< maximal score of branching candidate */
SCIP_Real candscoresum, /**< sum of scores of branching candidate */
SCIP_Real candsol /**< proposed branching point of branching candidate */
)
{
SCIP_Real candbrpoint;
SCIP_Real branchscore;
SCIP_Real deltaminus;
SCIP_Real deltaplus;
SCIP_Real pscostdown;
SCIP_Real pscostup;
char strategy;
assert(scip != NULL);
assert(branchruledata != NULL);
assert(bestvar != NULL);
assert(bestbrpoint != NULL);
assert(bestscore != NULL);
assert(cand != NULL);
/* a branching variable candidate should either be an active problem variable or a multi-aggregated variable */
assert(SCIPvarIsActive(SCIPvarGetProbvar(cand)) ||
SCIPvarGetStatus(SCIPvarGetProbvar(cand)) == SCIP_VARSTATUS_MULTAGGR);
if( SCIPvarGetStatus(SCIPvarGetProbvar(cand)) == SCIP_VARSTATUS_MULTAGGR )
{
/* for a multi-aggregated variable, we call updateBestCandidate function recursively with all variables in the multi-aggregation */
SCIP_VAR** multvars;
int nmultvars;
int i;
SCIP_Bool success;
SCIP_Real multvarlb;
SCIP_Real multvarub;
cand = SCIPvarGetProbvar(cand);
multvars = SCIPvarGetMultaggrVars(cand);
nmultvars = SCIPvarGetMultaggrNVars(cand);
/* if we have a candidate branching point, then first register only aggregation variables
* for which we can compute a corresponding branching point too (see also comments below)
* if this fails, then register all (unfixed) aggregation variables, thereby forgetting about candsol
*/
success = FALSE;
if( candsol != SCIP_INVALID ) /*lint !e777*/
{
SCIP_Real* multscalars;
SCIP_Real minact;
SCIP_Real maxact;
SCIP_Real aggrvarsol;
SCIP_Real aggrvarsol1;
SCIP_Real aggrvarsol2;
multscalars = SCIPvarGetMultaggrScalars(cand);
/* for computing the branching point, we need the current bounds of the multi-aggregated variable */
minact = SCIPcomputeVarLbLocal(scip, cand);
maxact = SCIPcomputeVarUbLocal(scip, cand);
for( i = 0; i < nmultvars; ++i )
{
/* skip fixed variables */
multvarlb = SCIPcomputeVarLbLocal(scip, multvars[i]);
multvarub = SCIPcomputeVarUbLocal(scip, multvars[i]);
if( SCIPisEQ(scip, multvarlb, multvarub) )
continue;
assert(multscalars != NULL);
assert(multscalars[i] != 0.0);
/* we cannot ensure that both the upper bound in the left node and the lower bound in the right node
* will be candsol by a clever choice for the branching point of multvars[i],
* but we can try to ensure that at least one of them will be at candsol
*/
if( multscalars[i] > 0.0 )
{
/* cand >= candsol
* if multvars[i] >= (candsol - (maxact - multscalars[i] * ub(multvars[i]))) / multscalars[i]
* = (candsol - maxact) / multscalars[i] + ub(multvars[i])
*/
aggrvarsol1 = (candsol - maxact) / multscalars[i] + multvarub;
/* cand <= candsol
* if multvars[i] <= (candsol - (minact - multscalar[i] * lb(multvars[i]))) / multscalars[i]
* = (candsol - minact) / multscalars[i] + lb(multvars[i])
*/
aggrvarsol2 = (candsol - minact) / multscalars[i] + multvarlb;
}
else
{
/* cand >= candsol
* if multvars[i] <= (candsol - (maxact - multscalars[i] * lb(multvars[i]))) / multscalars[i]
* = (candsol - maxact) / multscalars[i] + lb(multvars[i])
*/
aggrvarsol2 = (candsol - maxact) / multscalars[i] + multvarlb;
/* cand <= candsol
* if multvars[i] >= (candsol - (minact - multscalar[i] * ub(multvars[i]))) / multscalars[i]
* = (candsol - minact) / multscalars[i] + ub(multvars[i])
*/
aggrvarsol1 = (candsol - minact) / multscalars[i] + multvarub;
}
/* by the above choice, aggrvarsol1 <= ub(multvars[i]) and aggrvarsol2 >= lb(multvars[i])
* if aggrvarsol1 <= lb(multvars[i]) or aggrvarsol2 >= ub(multvars[i]), then choose the other one
* if both are out of bounds, then give up
* if both are inside bounds, then choose the one closer to 0.0 (someone has better idea???)
*/
if( SCIPisFeasLE(scip, aggrvarsol1, multvarlb) )
{
if( SCIPisFeasGE(scip, aggrvarsol2, multvarub) )
continue;
else
aggrvarsol = aggrvarsol2;
}
else
{
if( SCIPisFeasGE(scip, aggrvarsol2, multvarub) )
aggrvarsol = aggrvarsol1;
else
aggrvarsol = REALABS(aggrvarsol1) < REALABS(aggrvarsol2) ? aggrvarsol1 : aggrvarsol2;
}
success = TRUE;
SCIP_CALL( updateBestCandidate(scip, branchruledata, bestvar, bestbrpoint, bestscore,
multvars[i], candscoremin, candscoremax, candscoresum, aggrvarsol) );
}
}
if( !success )
for( i = 0; i < nmultvars; ++i )
{
/* skip fixed variables */
multvarlb = SCIPcomputeVarLbLocal(scip, multvars[i]);
multvarub = SCIPcomputeVarUbLocal(scip, multvars[i]);
if( SCIPisEQ(scip, multvarlb, multvarub) )
continue;
SCIP_CALL( updateBestCandidate(scip, branchruledata, bestvar, bestbrpoint, bestscore,
multvars[i], candscoremin, candscoremax, candscoresum, SCIP_INVALID) );
}
assert(*bestvar != NULL); /* if all variables were fixed, something is strange */
return SCIP_OKAY;
}
/* select branching point for this variable */
candbrpoint = SCIPgetBranchingPoint(scip, cand, candsol);
assert(candbrpoint >= SCIPvarGetLbLocal(cand));
assert(candbrpoint <= SCIPvarGetUbLocal(cand));
/* we cannot branch on a huge value for a discrete variable, because we simply cannot enumerate such huge integer values in floating point
* arithmetics
*/
if( SCIPvarGetType(cand) != SCIP_VARTYPE_CONTINUOUS && (SCIPisHugeValue(scip, candbrpoint) || SCIPisHugeValue(scip, -candbrpoint)) )
return SCIP_OKAY;
assert(SCIPvarGetType(cand) == SCIP_VARTYPE_CONTINUOUS || !SCIPisIntegral(scip, candbrpoint));
if( SCIPvarGetType(cand) == SCIP_VARTYPE_CONTINUOUS )
strategy = (branchruledata->strategy == 'u' ? branchruledata->updatestrategy : branchruledata->strategy);
else
strategy = (branchruledata->strategy == 'u' ? 'l' : branchruledata->strategy);
switch( strategy )
{
case 'l':
if( SCIPisInfinity(scip, SCIPgetSolVal(scip, NULL, cand)) || SCIPgetSolVal(scip, NULL, cand) <= SCIPadjustedVarUb(scip, cand, candbrpoint) )
deltaminus = 0.0;
else
deltaminus = SCIPgetSolVal(scip, NULL, cand) - SCIPadjustedVarUb(scip, cand, candbrpoint);
if( SCIPisInfinity(scip, -SCIPgetSolVal(scip, NULL, cand)) || SCIPgetSolVal(scip, NULL, cand) >= SCIPadjustedVarLb(scip, cand, candbrpoint) )
deltaplus = 0.0;
else
deltaplus = SCIPadjustedVarLb(scip, cand, candbrpoint) - SCIPgetSolVal(scip, NULL, cand);
break;
case 'd':
if( SCIPisInfinity(scip, -SCIPvarGetLbLocal(cand)) )
deltaminus = SCIPisInfinity(scip, candscoremax) ? SCIPinfinity(scip) : WEIGHTEDSCORING(branchruledata, candscoremin, candscoremax, candscoresum);
else
deltaminus = SCIPadjustedVarUb(scip, cand, candbrpoint) - SCIPvarGetLbLocal(cand);
if( SCIPisInfinity(scip, SCIPvarGetUbLocal(cand)) )
deltaplus = SCIPisInfinity(scip, candscoremax) ? SCIPinfinity(scip) : WEIGHTEDSCORING(branchruledata, candscoremin, candscoremax, candscoresum);
else
deltaplus = SCIPvarGetUbLocal(cand) - SCIPadjustedVarLb(scip, cand, candbrpoint);
break;
case 's':
if( SCIPisInfinity(scip, -SCIPvarGetLbLocal(cand)) )
deltaplus = SCIPisInfinity(scip, candscoremax) ? SCIPinfinity(scip) : WEIGHTEDSCORING(branchruledata, candscoremin, candscoremax, candscoresum);
else
deltaplus = SCIPadjustedVarUb(scip, cand, candbrpoint) - SCIPvarGetLbLocal(cand);
if( SCIPisInfinity(scip, SCIPvarGetUbLocal(cand)) )
deltaminus = SCIPisInfinity(scip, candscoremax) ? SCIPinfinity(scip) : WEIGHTEDSCORING(branchruledata, candscoremin, candscoremax, candscoresum);
else
deltaminus = SCIPvarGetUbLocal(cand) - SCIPadjustedVarLb(scip, cand, candbrpoint);
break;
case 'v':
deltaplus = SCIPisInfinity(scip, candscoremax) ? SCIPinfinity(scip) : WEIGHTEDSCORING(branchruledata, candscoremin, candscoremax, candscoresum);
deltaminus = deltaplus;
break;
default :
SCIPerrorMessage("branching strategy %c unknown\n", strategy);
SCIPABORT();
return SCIP_INVALIDDATA; /*lint !e527*/
}
if( SCIPisInfinity(scip, deltaminus) || SCIPisInfinity(scip, deltaplus) )
{
branchscore = SCIPinfinity(scip);
}
else
{
pscostdown = SCIPgetVarPseudocostVal(scip, cand, -deltaminus);
pscostup = SCIPgetVarPseudocostVal(scip, cand, deltaplus);
branchscore = SCIPgetBranchScore(scip, cand, pscostdown, pscostup);
assert(!SCIPisNegative(scip, branchscore));
}
SCIPdebugMessage("branching score variable <%s>[%g,%g] = %g; wscore = %g; type=%d bestbrscore=%g\n",
SCIPvarGetName(cand), SCIPvarGetLbLocal(cand), SCIPvarGetUbLocal(cand), branchscore, WEIGHTEDSCORING(branchruledata, candscoremin, candscoremax, candscoresum),
SCIPvarGetType(cand), *bestscore);
if( SCIPisInfinity(scip, branchscore) )
branchscore = 0.9*SCIPinfinity(scip);
if( SCIPisSumGT(scip, branchscore, *bestscore) )
{
(*bestscore) = branchscore;
(*bestvar) = cand;
(*bestbrpoint) = candbrpoint;
}
else if( SCIPisSumEQ(scip, branchscore, *bestscore)
&& !(SCIPisInfinity(scip, -SCIPvarGetLbLocal(*bestvar)) && SCIPisInfinity(scip, SCIPvarGetUbLocal(*bestvar))) )
{
/* if best candidate so far is not unbounded to both sides, maybe take new candidate */
if( (SCIPisInfinity(scip, -SCIPvarGetLbLocal(cand)) || SCIPisInfinity(scip, SCIPvarGetUbLocal(cand))) &&
(SCIPisInfinity(scip, -SCIPvarGetLbLocal(*bestvar)) || SCIPisInfinity(scip, SCIPvarGetUbLocal(*bestvar))) )
{
/* if both variables are unbounded but one of them is bounded on one side, take the one with the larger bound on this side (hope that this avoids branching on always the same variable) */
if( SCIPvarGetUbLocal(cand) > SCIPvarGetUbLocal(*bestvar) || SCIPvarGetLbLocal(cand) < SCIPvarGetLbLocal(*bestvar) )
{
(*bestscore) = branchscore;
(*bestvar) = cand;
(*bestbrpoint) = candbrpoint;
}
}
else if( SCIPvarGetType(*bestvar) == SCIPvarGetType(cand) )
{
/* if both have the same type, take the one with larger diameter */
if( SCIPvarGetUbLocal(*bestvar) - SCIPvarGetLbLocal(*bestvar) < SCIPvarGetUbLocal(cand) - SCIPvarGetLbLocal(cand) )
{
(*bestscore) = branchscore;
(*bestvar) = cand;
(*bestbrpoint) = candbrpoint;
}
}
else if( SCIPvarGetType(*bestvar) > SCIPvarGetType(cand) )
{
/* take the one with better type ("more discrete") */
(*bestscore) = branchscore;
(*bestvar) = cand;
(*bestbrpoint) = candbrpoint;
}
}
return SCIP_OKAY;
}
/** 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;
}
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecMutation)
{ /*lint --e{715}*/
SCIP_Longint maxnnodes;
SCIP_Longint nsubnodes; /* node limit for the subproblem */
SCIP_HEURDATA* heurdata; /* heuristic's data */
SCIP* subscip; /* the subproblem created by mutation */
SCIP_VAR** vars; /* original problem's variables */
SCIP_VAR** subvars; /* subproblem's variables */
SCIP_HASHMAP* varmapfw; /* mapping of SCIP variables to sub-SCIP variables */
SCIP_Real cutoff; /* objective cutoff for the subproblem */
SCIP_Real maxnnodesr;
SCIP_Real memorylimit;
SCIP_Real timelimit; /* timelimit for the subproblem */
SCIP_Real upperbound;
int nvars; /* number of original problem's variables */
int i;
SCIP_Bool success;
SCIP_RETCODE retcode;
assert( heur != NULL );
assert( scip != NULL );
assert( result != NULL );
/* get heuristic's data */
heurdata = SCIPheurGetData(heur);
assert( heurdata != NULL );
*result = SCIP_DELAYED;
/* only call heuristic, if feasible solution is available */
if( SCIPgetNSols(scip) <= 0 )
return SCIP_OKAY;
/* only call heuristic, if the best solution comes from transformed problem */
assert( SCIPgetBestSol(scip) != NULL );
if( SCIPsolIsOriginal(SCIPgetBestSol(scip)) )
return SCIP_OKAY;
/* only call heuristic, if enough nodes were processed since last incumbent */
if( SCIPgetNNodes(scip) - SCIPgetSolNodenum(scip,SCIPgetBestSol(scip)) < heurdata->nwaitingnodes)
return SCIP_OKAY;
*result = SCIP_DIDNOTRUN;
/* only call heuristic, if discrete variables are present */
if( SCIPgetNBinVars(scip) == 0 && SCIPgetNIntVars(scip) == 0 )
return SCIP_OKAY;
/* calculate the maximal number of branching nodes until heuristic is aborted */
maxnnodesr = heurdata->nodesquot * SCIPgetNNodes(scip);
/* reward mutation if it succeeded often, count the setup costs for the sub-MIP as 100 nodes */
maxnnodesr *= 1.0 + 2.0 * (SCIPheurGetNBestSolsFound(heur)+1.0)/(SCIPheurGetNCalls(heur) + 1.0);
maxnnodes = (SCIP_Longint) maxnnodesr - 100 * SCIPheurGetNCalls(heur);
maxnnodes += heurdata->nodesofs;
/* determine the node limit for the current process */
nsubnodes = maxnnodes - heurdata->usednodes;
nsubnodes = MIN(nsubnodes, heurdata->maxnodes);
/* check whether we have enough nodes left to call subproblem solving */
if( nsubnodes < heurdata->minnodes )
return SCIP_OKAY;
if( SCIPisStopped(scip) )
return SCIP_OKAY;
*result = SCIP_DIDNOTFIND;
SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, NULL, NULL, NULL, NULL) );
/* initializing the subproblem */
SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );
SCIP_CALL( SCIPcreate(&subscip) );
/* create the variable mapping hash map */
SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
if( heurdata->uselprows )
{
char probname[SCIP_MAXSTRLEN];
/* copy all plugins */
SCIP_CALL( SCIPincludeDefaultPlugins(subscip) );
/* get name of the original problem and add the string "_mutationsub" */
(void) SCIPsnprintf(probname, SCIP_MAXSTRLEN, "%s_mutationsub", SCIPgetProbName(scip));
/* create the subproblem */
SCIP_CALL( SCIPcreateProb(subscip, probname, NULL, NULL, NULL, NULL, NULL, NULL, NULL) );
/* copy all variables */
SCIP_CALL( SCIPcopyVars(scip, subscip, varmapfw, NULL, TRUE) );
}
else
{
SCIP_Bool valid;
valid = FALSE;
SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "rens", TRUE, FALSE, TRUE, &valid) );
if( heurdata->copycuts )
{
/* copies all active cuts from cutpool of sourcescip to linear constraints in targetscip */
SCIP_CALL( SCIPcopyCuts(scip, subscip, varmapfw, NULL, TRUE, NULL) );
}
SCIPdebugMessage("Copying the SCIP instance was %s complete.\n", valid ? "" : "not ");
}
for( i = 0; i < nvars; i++ )
subvars[i] = (SCIP_VAR*) SCIPhashmapGetImage(varmapfw, vars[i]);
/* free hash map */
SCIPhashmapFree(&varmapfw);
/* create a new problem, which fixes variables with same value in bestsol and LP relaxation */
SCIP_CALL( createSubproblem(scip, subscip, subvars, heurdata->minfixingrate, &heurdata->randseed, heurdata->uselprows) );
/* do not abort subproblem on CTRL-C */
SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );
/* disable output to console */
SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );
/* check whether there is enough time and memory left */
SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
if( !SCIPisInfinity(scip, timelimit) )
timelimit -= SCIPgetSolvingTime(scip);
SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );
/* substract the memory already used by the main SCIP and the estimated memory usage of external software */
if( !SCIPisInfinity(scip, memorylimit) )
{
memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
memorylimit -= SCIPgetMemExternEstim(scip)/1048576.0;
}
/* abort if no time is left or not enough memory to create a copy of SCIP, including external memory usage */
if( timelimit <= 0.0 || memorylimit <= 2.0*SCIPgetMemExternEstim(scip)/1048576.0 )
goto TERMINATE;
/* set limits for the subproblem */
SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", nsubnodes) );
SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );
/* forbid recursive call of heuristics and separators solving subMIPs */
SCIP_CALL( SCIPsetSubscipsOff(subscip, TRUE) );
/* disable cutting plane separation */
SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
/* disable expensive presolving */
SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_FAST, TRUE) );
/* use best estimate node selection */
if( SCIPfindNodesel(subscip, "estimate") != NULL && !SCIPisParamFixed(subscip, "nodeselection/estimate/stdpriority") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "nodeselection/estimate/stdpriority", INT_MAX/4) );
}
/* use inference branching */
if( SCIPfindBranchrule(subscip, "inference") != NULL && !SCIPisParamFixed(subscip, "branching/inference/priority") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "branching/inference/priority", INT_MAX/4) );
}
/* disable conflict analysis */
if( !SCIPisParamFixed(subscip, "conflict/useprop") )
{
SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useprop", FALSE) );
}
if( !SCIPisParamFixed(subscip, "conflict/useinflp") )
{
SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useinflp", FALSE) );
}
if( !SCIPisParamFixed(subscip, "conflict/useboundlp") )
{
SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useboundlp", FALSE) );
}
if( !SCIPisParamFixed(subscip, "conflict/usesb") )
{
SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usesb", FALSE) );
}
if( !SCIPisParamFixed(subscip, "conflict/usepseudo") )
{
SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usepseudo", FALSE) );
}
/* employ a limit on the number of enforcement rounds in the quadratic constraint handlers; this fixes the issue that
* sometimes the quadratic constraint handler needs hundreds or thousands of enforcement rounds to determine the
* feasibility status of a single node without fractional branching candidates by separation (namely for uflquad
* instances); however, the solution status of the sub-SCIP might get corrupted by this; hence no decutions shall be
* made for the original SCIP
*/
if( SCIPfindConshdlr(subscip, "quadratic") != NULL && !SCIPisParamFixed(subscip, "constraints/quadratic/enfolplimit") )
{
SCIP_CALL( SCIPsetIntParam(subscip, "constraints/quadratic/enfolplimit", 10) );
}
/* add an objective cutoff */
cutoff = SCIPinfinity(scip);
assert( !SCIPisInfinity(scip, SCIPgetUpperbound(scip)) );
upperbound = SCIPgetUpperbound(scip) - SCIPsumepsilon(scip);
if( !SCIPisInfinity(scip, -1.0 * SCIPgetLowerbound(scip)) )
{
cutoff = (1-heurdata->minimprove) * SCIPgetUpperbound(scip) + heurdata->minimprove * SCIPgetLowerbound(scip);
}
else
{
if( SCIPgetUpperbound ( scip ) >= 0 )
cutoff = ( 1 - heurdata->minimprove ) * SCIPgetUpperbound ( scip );
else
cutoff = ( 1 + heurdata->minimprove ) * SCIPgetUpperbound ( scip );
}
cutoff = MIN(upperbound, cutoff );
SCIP_CALL( SCIPsetObjlimit(subscip, cutoff) );
/* solve the subproblem */
SCIPdebugMessage("Solve Mutation subMIP\n");
retcode = SCIPsolve(subscip);
/* Errors in solving the subproblem should not kill the overall solving process
* Hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
*/
if( retcode != SCIP_OKAY )
{
#ifndef NDEBUG
SCIP_CALL( retcode );
#endif
SCIPwarningMessage(scip, "Error while solving subproblem in Mutation heuristic; sub-SCIP terminated with code <%d>\n",retcode);
}
heurdata->usednodes += SCIPgetNNodes(subscip);
/* check, whether a solution was found */
if( SCIPgetNSols(subscip) > 0 )
{
SCIP_SOL** subsols;
int nsubsols;
/* check, whether a solution was found;
* due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted
*/
nsubsols = SCIPgetNSols(subscip);
subsols = SCIPgetSols(subscip);
success = FALSE;
for( i = 0; i < nsubsols && !success; ++i )
{
SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &success) );
}
if( success )
*result = SCIP_FOUNDSOL;
}
TERMINATE:
/* free subproblem */
SCIPfreeBufferArray(scip, &subvars);
SCIP_CALL( SCIPfree(&subscip) );
return SCIP_OKAY;
}
/** 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;
}
/** perform dual presolving */
static
SCIP_RETCODE performDualfix(
SCIP* scip, /**< SCIP data structure */
int* nfixedvars, /**< pointer to store number of fixed variables */
SCIP_Bool* unbounded, /**< pointer to store if an unboundness was detected */
SCIP_Bool* cutoff /**< pointer to store if a cutoff was detected */
)
{
SCIP_VAR** vars;
int nvars;
int v;
/* get active problem variables */
vars = SCIPgetVars(scip);
nvars = SCIPgetNVars(scip);
/* look for fixable variables
* loop backwards, since a variable fixing can change the current and the subsequent slots in the vars array
*/
for( v = nvars - 1; v >= 0; --v )
{
SCIP_VAR* var;
SCIP_Real bound;
SCIP_Real obj;
SCIP_Bool infeasible;
SCIP_Bool fixed;
var = vars[v];
assert(var != NULL);
/* don't perform dual presolving operations on deleted variables */
if( SCIPvarIsDeleted(var) )
continue;
/* ignore already fixed variables (use feasibility tolerance since this is used in SCIPfixVar() */
if( SCIPisFeasEQ(scip, SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var)) )
continue;
obj = SCIPvarGetObj(var);
/* if the objective coefficient of the variable is 0 and it may be rounded both
* up and down, then fix it to the closest feasible value to 0 */
if( SCIPisZero(scip, obj) && SCIPvarMayRoundDown(var) && SCIPvarMayRoundUp(var) )
{
SCIP_Real roundbound;
bound = SCIPvarGetLbGlobal(var);
if( SCIPisLT(scip, bound, 0.0) )
{
if( SCIPisLE(scip, 0.0, SCIPvarGetUbGlobal(var)) )
bound = 0.0;
else
{
/* try to take an integer value, only for polishing */
roundbound = SCIPfloor(scip, SCIPvarGetUbGlobal(var));
if( roundbound < bound )
bound = SCIPvarGetUbGlobal(var);
else
bound = roundbound;
}
}
else
{
/* try to take an integer value, only for polishing */
roundbound = SCIPceil(scip, bound);
if( roundbound < SCIPvarGetUbGlobal(var) )
bound = roundbound;
}
SCIPdebugMessage("fixing variable <%s> with objective 0 to %g\n", SCIPvarGetName(var), bound);
}
else
{
/* if it is always possible to round variable in direction of objective value, fix it to its proper bound */
if( SCIPvarMayRoundDown(var) && !SCIPisNegative(scip, obj) )
{
bound = SCIPvarGetLbGlobal(var);
if ( SCIPisInfinity(scip, -bound) )
{
/* variable can be fixed to -infinity */
if ( SCIPgetStage(scip) > SCIP_STAGE_PRESOLVING )
{
/* Fixing variables to infinity is not allowed after presolving, since LP-solvers cannot handle this
* consistently. We thus have to ignore this (should better be handled in presolving). */
continue;
}
if ( SCIPisZero(scip, obj) && SCIPvarGetNLocksUp(var) == 1 )
{
/* Variable is only contained in one constraint: we hope that the corresponding constraint handler is
* clever enough to set/aggregate the variable to something more useful than -infinity and do nothing
* here. */
continue;
}
}
SCIPdebugMessage("fixing variable <%s> with objective %g and %d uplocks to lower bound %g\n",
SCIPvarGetName(var), SCIPvarGetObj(var), SCIPvarGetNLocksUp(var), bound);
}
else if( SCIPvarMayRoundUp(var) && !SCIPisPositive(scip, obj) )
{
bound = SCIPvarGetUbGlobal(var);
if ( SCIPisInfinity(scip, bound) )
{
/* variable can be fixed to infinity */
if ( SCIPgetStage(scip) > SCIP_STAGE_PRESOLVING )
{
/* Fixing variables to infinity is not allowed after presolving, since LP-solvers cannot handle this
* consistently. We thus have to ignore this (should better be handled in presolving). */
continue;
}
if ( SCIPisZero(scip, obj) && SCIPvarGetNLocksDown(var) == 1 )
{
/* Variable is only contained in one constraint: we hope that the corresponding constraint handler is
* clever enough to set/aggregate the variable to something more useful than +infinity and do nothing
* here */
continue;
}
}
SCIPdebugMessage("fixing variable <%s> with objective %g and %d downlocks to upper bound %g\n",
SCIPvarGetName(var), SCIPvarGetObj(var), SCIPvarGetNLocksDown(var), bound);
}
else
continue;
}
if( SCIPisInfinity(scip, REALABS(bound)) && !SCIPisZero(scip, obj) )
{
SCIPdebugMessage(" -> unbounded fixing\n");
SCIPverbMessage(scip, SCIP_VERBLEVEL_NORMAL, NULL,
"problem infeasible or unbounded: variable <%s> with objective %.15g can be made infinitely %s\n",
SCIPvarGetName(var), SCIPvarGetObj(var), bound < 0.0 ? "small" : "large");
*unbounded = TRUE;
return SCIP_OKAY;
}
/* apply the fixing */
SCIPdebugMessage("apply fixing of variable %s to %g\n", SCIPvarGetName(var), bound);
SCIP_CALL( SCIPfixVar(scip, var, bound, &infeasible, &fixed) );
if( infeasible )
{
SCIPdebugMessage(" -> infeasible fixing\n");
*cutoff = TRUE;
return SCIP_OKAY;
}
assert(fixed || (SCIPgetStage(scip) == SCIP_STAGE_SOLVING && SCIPisFeasEQ(scip, bound, SCIPvarGetLbLocal(var))
&& SCIPisFeasEQ(scip, bound, SCIPvarGetUbLocal(var))));
(*nfixedvars)++;
}
return SCIP_OKAY;
}
/** 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]);
}
}
}
}
