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package symjava.examples;
import static symjava.symbolic.Symbol.C0;
import java.util.ArrayList;
import java.util.List;
import symjava.relational.Eq;
import symjava.relational.Ge;
import symjava.relational.Gt;
import symjava.relational.Le;
import symjava.relational.Lt;
import symjava.relational.Relation;
import symjava.symbolic.Expr;
import symjava.symbolic.Symbols;
import symjava.symbolic.utils.AddList;
import symjava.symbolic.utils.Utils;
public class OptSolver {
Expr obj;
List<Relation> constrs = new ArrayList<Relation>();
public OptSolver() {
}
public static OptSolver min(Expr obj) {
OptSolver s = new OptSolver();
s.obj = obj;
return s;
}
public OptSolver subjectTo(Relation ...constrs) {
for(Relation r : constrs)
this.constrs.add(r);
return this;
}
double[] solve() {
Symbols lmd = new Symbols("\\lambda");
Symbols c = new Symbols("c");
AddList addList = new AddList();
addList.add(obj);
int idxLmd = 1;
int idxC = 1;
for(int i=0; i<constrs.size(); i++) {
Relation e = constrs.get(i);
if(e instanceof Eq) {
addList.add(lmd.get(idxLmd++)*(e.lhs()-e.rhs()));
} else if(e instanceof Ge || e instanceof Gt) {
addList.add(lmd.get(idxLmd++)*(e.lhs()-e.rhs()-c.get(idxC)*c.get(idxC)));
idxC++;
} else if(e instanceof Le || e instanceof Lt) {
addList.add(lmd.get(idxLmd++)*(e.lhs()-e.rhs()+c.get(idxC)*c.get(idxC)));
idxC++;
} else {
throw new RuntimeException("Unsupported relation: " + e);
}
}
Expr L = addList.toExpr();
Expr[] freeVars = Utils.extractSymbols(L).toArray(new Expr[0]);
double[] x0 = new double[freeVars.length];
Eq eq = new Eq(L, C0, freeVars);
System.out.println(eq);
return NewtonOptimization.solve(eq, x0, 1000, 1e-6, false);
}
}
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