@Override
public void evaluate(Solution solution) {
double[] x = EncodingUtils.getReal(solution);
double[] psum = new double[numberOfObjectives];
double[] zz = new double[numberOfVariables];
// apply transform to convert from UF11 to DTLZ2
CEC2009.transform(
x,
zz,
psum,
numberOfVariables == 10 ? M_10D : M_30D,
numberOfVariables == 10 ? lamda_l_10D : lamda_l_30D,
numberOfVariables,
numberOfObjectives);
// evaluate the transformed solution with DTLZ2
Solution transformedSolution = problem.newSolution();
EncodingUtils.setReal(transformedSolution, zz);
problem.evaluate(transformedSolution);
// convert the DTLZ2 results back to UF11
for (int i = 0; i < numberOfObjectives; i++) {
solution.setObjective(
i, 2.0 / (1.0 + Math.exp(-psum[i])) * (transformedSolution.getObjective(i) + 1));
}
}
@Override
public Solution newSolution() {
Solution solution = new Solution(2, 3, 2);
solution.setVariable(0, EncodingUtils.newReal(-10.0, 10.0));
solution.setVariable(1, EncodingUtils.newReal(-10.0, 10.0));
return solution;
}
@Override
public Solution generate() {
Solution solution = newSolution();
EncodingUtils.setReal(solution.getVariable(0), 3.0);
EncodingUtils.setReal(solution.getVariable(1), 0.5);
evaluate(solution);
return solution;
}
@Override
public void evaluate(Solution solution) {
double x = EncodingUtils.getReal(solution.getVariable(0));
double y = EncodingUtils.getReal(solution.getVariable(1));
double f1 = 1.5 - x * (1.0 - y);
double f2 = 2.25 - x * (1.0 - Math.pow(y, 2.0));
double f3 = 2.625 - x * (1.0 - Math.pow(y, 3.0));
double c1 = -Math.pow(x, 2.0) - Math.pow(y - 0.5, 2.0) + 9.0;
double c2 = Math.pow(x - 1.0, 2.0) + Math.pow(y - 0.5, 2.0) - 6.25;
solution.setObjective(0, f1);
solution.setObjective(1, f2);
solution.setObjective(2, f3);
solution.setConstraint(0, c1 <= 0.0 ? 0.0 : c1);
solution.setConstraint(1, c2 <= 0.0 ? 0.0 : c2);
}
/**
* Extracts the decision variables from the solution, evaluates the Rosenbrock function, and
* saves the resulting objective value back to the solution.
*/
@Override
public void evaluate(Solution solution) {
double[] x = EncodingUtils.getReal(solution);
double[] f = new double[numberOfObjectives];
int k = numberOfVariables - numberOfObjectives + 1;
double g = 0.0;
for (int i = numberOfVariables - k; i < numberOfVariables; i++) {
g += Math.pow(x[i] - 0.5, 2.0);
}
for (int i = 0; i < numberOfObjectives; i++) {
f[i] = 1.0 + g;
for (int j = 0; j < numberOfObjectives - i - 1; j++) {
f[i] *= Math.cos(0.5 * Math.PI * x[j]);
}
if (i != 0) {
f[i] *= Math.sin(0.5 * Math.PI * x[numberOfObjectives - i - 1]);
}
}
solution.setObjectives(f);
}
@Override
public void evaluate(Solution solution) {
double[] theta = new double[numberOfObjectives - 1];
double[] f = new double[numberOfObjectives];
double[] x = EncodingUtils.getReal(solution);
int k = numberOfVariables - numberOfObjectives + 1;
double g = 0.0;
for (int i = numberOfVariables - k; i < numberOfVariables; i++) {
g += java.lang.Math.pow(x[i], 0.1);
}
double t = java.lang.Math.PI / (4.0 * (1.0 + g));
theta[0] = x[0] * java.lang.Math.PI / 2;
for (int i = 1; i < (numberOfObjectives - 1); i++) {
theta[i] = t * (1.0 + 2.0 * g * x[i]);
}
for (int i = 0; i < numberOfObjectives; i++) {
f[i] = 1.0 + g;
for (int j = 0; j < numberOfObjectives - (i + 1); j++) {
f[i] *= java.lang.Math.cos(theta[j]);
}
if (i != 0) {
int aux = numberOfObjectives - (i + 1);
f[i] *= java.lang.Math.sin(theta[aux]);
}
solution.setObjective(i, f[i]);
}
}
@Override
public Solution newSolution() {
Solution solution = new Solution(1, 1);
solution.setVariable(0, EncodingUtils.newPermutation(instance.getDimension()));
return solution;
}
/**
* Saves a {@link Tour} into a MOEA Framework solution.
*
* @param solution the MOEA Framework solution
* @param tour the tour
*/
public static void fromTour(Solution solution, Tour tour) {
int[] permutation = tour.toArray();
// decrement values to get permutation
for (int i = 0; i < permutation.length; i++) {
permutation[i]--;
}
EncodingUtils.setPermutation(solution.getVariable(0), permutation);
}
/**
* Converts a MOEA Framework solution to a {@link Tour}.
*
* @param solution the MOEA Framework solution
* @return the tour defined by the solution
*/
public static Tour toTour(Solution solution) {
int[] permutation = EncodingUtils.getPermutation(solution.getVariable(0));
// increment values since TSP nodes start at 1
for (int i = 0; i < permutation.length; i++) {
permutation[i]++;
}
return Tour.createTour(permutation);
}
@Override
public void evaluate(Solution solution) {
double[] x = EncodingUtils.getReal(solution);
double x1 = Math.cos(Math.PI / 12.0) * x[0] - Math.sin(Math.PI / 12.0) * x[1];
double x2 = Math.sin(Math.PI / 12.0) * x[0] + Math.cos(Math.PI / 12.0) * x[1];
solution.setObjective(0, x1);
solution.setObjective(
1,
Math.sqrt(2.0 * Math.PI)
- Math.sqrt(Math.abs(x1))
+ 2.0 * Math.pow(Math.abs(x2 - 3.0 * Math.cos(x1) - 3), 1.0 / 3.0));
}
