HirstDots.java
package npw;

import painter.SPainter;
import shapes.SCircle;
import javax.swing.*;
import java.awt.*;
import java.util.Random;
import java.util.Scanner;

public class HirstDots {
    private void paintTheImage () {
        //Get the input info
        int radius = getNumber("circle radius");
        int diameter = getNumber("dot radius");

        //Establish the painter
        SPainter painter = new SPainter("Hirst Dots", radius * 2 + 50, radius * 2 + 50);
        painter.setBrushWidth(3);
        SCircle circle = new SCircle(radius);
        SCircle dot = new SCircle(diameter/2);

        //Paint the dots
        paintCircleOfDots(painter, circle, dot);
    }
    private void paintCircleOfDots(SPainter painter, SCircle circle, SCircle dot) {
        //Position the painter to begin drawing the rows
        painter.mfd(circle.radius());
        painter.tr();
        // Paint the circle of dots
        double moved = 0;
        while (moved < circle.diameter()) {
            double chord = chordLength(circle.radius() - moved, circle);
            int dots = dotOnLineCount(chord, dot.diameter()/2);
            paintRow(painter, dot, dots);
            nextRow(painter, (dot.diameter()/2));
            moved = moved + (dot.diameter()/2);
        }
        //Make the method invariant with respect to painter position
        painter.tl();
        painter.mfd(circle.radius());
    }
    //Move to the next row
    private void nextRow(SPainter painter, double rowHeight) {
        painter.tr();
        painter.mfd(rowHeight);
        painter.tl();
    }
    //Assumes the painter is at the center of the row to paint, facing right.
    private void paintRow(SPainter painter, SCircle dot, int dotsToPaint){
        //Move backward 1/2 of the length we're painting to get ready to paint the row.
        double centerOffset = ((dotsToPaint * dot.diameter()/4) - dot.diameter()/4);
        painter.mbk(centerOffset);

        //Paint the row of dots.
        int painted = 0;
        while (painted < dotsToPaint) {
            paintOneDot(painter, dot);
            painter.mfd(dot.diameter()/2);
            painted = painted + 1;
        }
        //Make the method invariant with respect to painter position.
        painter.mbk(centerOffset + (dot.diameter()/2));
    }
    private void paintOneDot(SPainter painter, SCircle dot) {
        dot.s3();
        painter.setColor(randomColor());
        painter.paint(dot);
        dot.x3();
    }

    private static int dotOnLineCount(double lineLength, double diameterLength) {
        int dots = ((int)Math.ceil((lineLength - diameterLength) / diameterLength) + 1);
        return dots;
    }

    private double chordLength(double yOffset, SCircle circle){
        double xLength = Math.sqrt(Math.pow(circle.radius(), 2) - Math.pow(yOffset, 2));
        double chordLength = xLength * 2;
        return chordLength;
    }

    private static int getNumber(String prompt) {
        String nss = JOptionPane.showInputDialog(null,prompt + "?");
        Scanner scanner = new Scanner(nss);
        return scanner.nextInt();
    }

    private static Color randomColor() {
        Random rgen = new Random();
        int r = rgen.nextInt(256);
        int g = rgen.nextInt(256);
        int b = rgen.nextInt(256);
        return new Color(r,g,b);
    }
    public HirstDots() {
        paintTheImage();
    }
    public static void main(String[] args) {
        SwingUtilities.invokeLater(new Runnable() {
            @Override
            public void run() {
                new HirstDots();
            }
          });
    }
}