protected void Start()
{
this.simplex = new DownhillSimplex <float>(this.p, new Delta(), this.mode);
this.simplex.End((p, s, dt, a) =>
{
LogTool.Log("Solution: ", LogLevel.Info);
var sol = s as DownhillSimplex <float> .Solution;
sol.min.Print();
LogTool.Log("Running count: " + (dt as Delta).count);
});
this.simplex.TryToRun();
}
static void Main()
{
Func <vector, double> rosenBrock = delegate(vector z){
double x = z[0], y = z[1];
return(Pow(1 - x, 2) + 100 * Pow(y - x * x, 2));
};
vector p = new vector(0.0, 0.0);
double eps = 1.0 / 1000;
(vector roots, int steps) = qNewton(rosenBrock, p, eps);
WriteLine("--- Part A ---");
WriteLine("Searching for a minimum of the Rosenbrock Valley function...");
p.print("Starting point:");
roots.print($"Minimum found ({steps} steps)");
WriteLine("Global minimum: (1,1)");
Func <vector, double> himmelblau = delegate(vector z){
double x = z[0], y = z[1];
return(Pow(x * x + y - 11, 2) + Pow(x + y * y - 7, 2));
};
p = new vector(0.0, 0.0);
eps = 1.0 / 1000;
(roots, steps) = qNewton(himmelblau, p, eps);
WriteLine("Searching for a minimum of the Himmelblau function...");
p.print("Starting point:");
roots.print($"Minimum found ({steps} steps)");
WriteLine("Local minimum: (3,2)");
WriteLine("\n\n--- Part B ---");
// Read higgs.txt for fitting data
StreamReader Reader = new StreamReader("higgs.txt");
int n = 30;
vector E = new vector(n), sigma = new vector(n), err = new vector(n);
for (int i = 0; i < n; i++)
{
string line = Reader.ReadLine();
string [] data = line.Split(new char [] { ' ' });
E[i] = (Double.Parse(data[0]));
if (data[1] == "")
{
sigma[i] = Double.Parse(data[2]);
err[i] = Double.Parse(data[3]);
}
else
{
sigma[i] = (Double.Parse(data[1]));
err[i] = (Double.Parse(data[2]));
}
}
Reader.Close();
Func <double, double, double, double, double> breitWigner = (e, m, g, a) =>
a / (Pow(e - m, 2) + g * g / 4);
Func <vector, double> deviation = delegate(vector z){
double m = z[0];
double gamma = z[1];
double A = z[2];
double sum = 0;
for (int i = 0; i < n; i++)
{
sum += Pow(breitWigner(E[i], m, gamma, A) - sigma[i], 2);
}
return(sum);
};
p = new vector(125, 2, 6);
vector min;
(min, steps) = qNewton(deviation, p, eps);
WriteLine($"Fitting Higgs data to Breit-Wigner function, done in {steps} steps.");
WriteLine($"Found parameters:");
WriteLine($"Mass: {min[0]} \nGamma: {min[1]} \nA: {min[2]}");
WriteLine("\n\n--- Part C ---");
WriteLine("Find minimum Rosenbrock Valley function...");
p = new vector(0.0, 0.0);
eps = 1e-3;
DownhillSimplex DHS = new DownhillSimplex(rosenBrock, p, eps);
DHS.x.print($"Minimum found ({DHS.steps} steps):");
}
