Solutions

The following sections describe solutions to the preceding problems. You can download the example solutions to see additional details and to experiment with the programs at https://github.com/PacktPublishing/Improving-your-C-Sharp-Skills/tree/master/Chapter15.

 

1. Monte Carlo π

The following code uses a Monte Carlo algorithm to estimate π:

// Use Monte Carlo simulation to estimate pi.
private double MonteCarloPi(long numPoints)
{
    Random rand = new Random();

    // Make a bitmap to show points.
    int wid = pointsPictureBox.ClientSize.Width;
    int hgt = pointsPictureBox.ClientSize.Height;
    Bitmap bm = new Bitmap(wid, hgt);
    using (Graphics gr = Graphics.FromImage(bm))
    {
        gr.Clear(Color.White);
        gr.DrawEllipse(Pens.Black, 0, 0, wid - 1, hgt - 1);
    }

    // Make the random points.
    int numHits = 0;
    for (int i = 0; i < numPoints; i++)
    {
        // Make a random point 0 <= x < 1.
        double x = rand.NextDouble();
        double...