public static LinearRel mat2LCsWithParam(
DBM dbm, DBM dbmParamCoef, Variable param, LinearTerm[] substitution) {
Matrix m = dbm.mat();
Matrix paramCoef = (dbmParamCoef == null) ? null : dbmParamCoef.mat();
if (paramCoef != null)
if (m.size() != paramCoef.size())
throw new RuntimeException("Operation on matrices of incompatible sizes");
LinearRel lcs = new LinearRel();
int size = m.size();
for (int i = 0; i < size; ++i) {
for (int j = 0; j < size; ++j) {
if (i == j) continue;
// if (!isOctagon && ( (i == size/2 && j == 0) || (j == size/2 && i == 0) ))
// continue;
Field f = m.get(i, j);
if (!f.isFinite()) continue;
if (isZero(dbm, i) && isZero(dbm, j)) continue;
LinearConstr lc = new LinearConstr();
if (!isZero(dbm, i)) lc.addLinTerm(new LinearTerm(substitution[i]));
if (!isZero(dbm, j)) lc.addLinTerm(new LinearTerm(substitution[j]));
lc.addLinTerm(new LinearTerm(null, -f.toInt()));
if (paramCoef != null) {
Field f_paramCoef = paramCoef.get(i, j);
lc.addLinTerm(new LinearTerm(param, -f_paramCoef.toInt()));
}
lcs.add(lc);
}
}
return lcs;
}
public static DeltaDisjunct mat2modRels(
DBM dbm, MyEnum keep, LinearTerm[] substitution, boolean isOctagon, IntegerInf maxK) {
Matrix m = dbm.mat();
LinearRel lcs = new LinearRel();
int size = m.size();
boolean onlyZeroK = true; // coefficients of K always 0
for (int i = 0; i < size; ++i) {
for (int j = 0; j < size; ++j) {
if (i == j) continue;
Field f = m.get(i, j);
if (!f.isFinite()) continue;
// skip $0-$0'<=0 and $0'-$0<=0
if (!isOctagon && ((i == size / 2 && j == 0) || (j == size / 2 && i == 0))) continue;
LinearConstr lc = new LinearConstr();
lc.addLinTerm(substitution[i].times(1));
lc.addLinTerm(substitution[j].times(-1));
boolean zeroK = f.fillLinTerms(lc, DeltaClosure.v_k);
onlyZeroK &= zeroK;
lcs.add(lc);
}
}
if (!onlyZeroK) {
if (m.fs() instanceof FieldStatic.ParametricFS) lcs.addConstraint(DeltaClosure.lc_k);
if (maxK.isFinite()) {
lcs.add(DeltaClosure.maxKconstr(maxK.toInt()));
}
}
if (DeltaClosure.DEBUG_LEVEL >= DeltaClosure.DEBUG_LOW)
System.out.println(lcs.toSBClever(Variable.ePRINT_prime));
if (onlyZeroK) {
Relation r = Relation.toMinType(lcs);
Relation[] l;
if (!r.contradictory()) l = new Relation[] {r};
else l = new Relation[0];
return new DeltaDisjunct(l, lcs, onlyZeroK);
} else {
Relation[] tmp = null;
tmp = lcs.existElim1(DeltaClosure.v_k);
// else keep null
return new DeltaDisjunct(tmp, lcs, onlyZeroK);
}
}