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 DBM mat2matParam(DBM m, DBM paramCoef, Variable paramK) {
Matrix mat = m.mat();
Matrix paramCoefMat = (paramCoef == null) ? null : paramCoef.mat();
if (paramCoefMat != null)
if (mat.size() != paramCoefMat.size())
throw new RuntimeException("Operation on matrices of incompatible sizes");
int size = mat.size();
FieldStaticInf fs = DeltaClosure.deltaFS();
Matrix retMat = DBM.newMatrix(size, fs);
retMat.init();
for (int i = 0; i < size; ++i) {
for (int j = 0; j < size; ++j) {
Field f1 = mat.get(i, j);
if (!f1.isFinite()) continue;
int i_f1 = f1.toInt();
int i_f2 = 0;
{
if (paramCoefMat != null) {
Field f2 = paramCoefMat.get(i, j);
i_f2 = f2.toInt();
}
}
Field f = DeltaClosure.deltaBound(i_f1, i_f2);
retMat.set(i, j, f);
}
}
return new DBM(DBM.Encoding.DBC, retMat, fs);
}