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43
Task/Mandelbrot-set/Java/mandelbrot-set-1.java
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Task/Mandelbrot-set/Java/mandelbrot-set-1.java
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import java.awt.Graphics;
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import java.awt.image.BufferedImage;
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import javax.swing.JFrame;
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public class Mandelbrot extends JFrame {
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private final int MAX_ITER = 570;
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private final double ZOOM = 150;
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private BufferedImage I;
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private double zx, zy, cX, cY, tmp;
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public Mandelbrot() {
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super("Mandelbrot Set");
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setBounds(100, 100, 800, 600);
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setResizable(false);
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setDefaultCloseOperation(EXIT_ON_CLOSE);
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I = new BufferedImage(getWidth(), getHeight(), BufferedImage.TYPE_INT_RGB);
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for (int y = 0; y < getHeight(); y++) {
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for (int x = 0; x < getWidth(); x++) {
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zx = zy = 0;
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cX = (x - 400) / ZOOM;
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cY = (y - 300) / ZOOM;
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int iter = MAX_ITER;
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while (zx * zx + zy * zy < 4 && iter > 0) {
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tmp = zx * zx - zy * zy + cX;
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zy = 2.0 * zx * zy + cY;
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zx = tmp;
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iter--;
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}
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I.setRGB(x, y, iter | (iter << 8));
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}
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}
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}
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@Override
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public void paint(Graphics g) {
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g.drawImage(I, 0, 0, this);
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}
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public static void main(String[] args) {
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new Mandelbrot().setVisible(true);
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}
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}
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294
Task/Mandelbrot-set/Java/mandelbrot-set-2.java
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294
Task/Mandelbrot-set/Java/mandelbrot-set-2.java
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import static java.awt.Color.HSBtoRGB;
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import static java.awt.Color.black;
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import static java.awt.event.KeyEvent.VK_BACK_SLASH;
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import static java.awt.event.KeyEvent.VK_ESCAPE;
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import static java.awt.image.BufferedImage.TYPE_INT_RGB;
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import static java.lang.Integer.signum;
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import static java.lang.Math.abs;
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import static java.lang.Math.max;
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import static java.lang.Math.min;
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import static java.lang.System.currentTimeMillis;
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import static java.util.Locale.ROOT;
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import java.awt.Dimension;
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import java.awt.Graphics;
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import java.awt.Insets;
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import java.awt.event.KeyAdapter;
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import java.awt.event.KeyEvent;
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import java.awt.event.MouseAdapter;
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import java.awt.event.MouseEvent;
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import java.awt.image.BufferedImage;
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import java.util.function.Consumer;
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import java.util.function.Predicate;
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import javax.swing.JFrame;
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/*
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* click: point to center
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* ctrl-click: point to origin
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* drag: point to mouse release point
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* ctrl-drag: point to origin + zoom
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* back-slash: back to previous point
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* esc: back to previous zoom point - zoom
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*/
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public class Mandelbrot extends JFrame {
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private static final long serialVersionUID = 1L;
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private Insets insets;
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private int width, height;
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private double widthHeightRatio;
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private int minX, minY;
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private double Zoom;
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private int mpX, mpY, mdX, mdY;
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private boolean isCtrlDown, ctrl;
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private Stack stack = new Stack();
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private BufferedImage image;
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private boolean newImage = true;
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public static void main(String[] args) {
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new Mandelbrot(800, 600); // (800, 600), (1024, 768), (1600, 900), (1920, 1080)
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//new Mandelbrot(800, 600, 4.5876514379235943e-09, -0.6092161175392330, -0.4525577210859453);
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//new Mandelbrot(800, 600, 5.9512354925205320e-10, -0.6092146769531246, -0.4525564820098262);
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//new Mandelbrot(800, 600, 6.7178527589983420e-08, -0.7819036465400592, -0.1298363433443265);
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//new Mandelbrot(800, 600, 4.9716091454775210e-09, -0.7818800036717134, -0.1298044093748981);
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//new Mandelbrot(800, 600, 7.9333341281639390e-06, -0.7238770725243187, -0.2321214232559487);
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/*
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new Mandelbrot(800, 600, new double[][] {
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{5.0000000000000000e-03, -2.6100000000000000, -1.4350000000000000}, // done!
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{3.5894206549118390e-04, -0.7397795969773300, -0.4996473551637279}, // done!
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{3.3905106941862460e-05, -0.6270410477828043, -0.4587021918164572}, // done!
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{6.0636337351945460e-06, -0.6101531446039512, -0.4522561221394852}, // done!
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{1.5502741161769430e-06, -0.6077214060084073, -0.4503995886987711}, // done!
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});
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//*/
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}
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public Mandelbrot(int width, int height) {
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this(width, height, .005, -2.61, -1.435);
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}
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public Mandelbrot(int width, int height, double Zoom, double r, double i) {
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this(width, height, new double[] {Zoom, r, i});
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}
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public Mandelbrot(int width, int height, double[] ... points) {
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super("Mandelbrot Set");
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setResizable(false);
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setDefaultCloseOperation(EXIT_ON_CLOSE);
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Dimension screen = getToolkit().getScreenSize();
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setBounds(
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rint((screen.getWidth() - width) / 2),
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rint((screen.getHeight() - height) / 2),
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width,
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height
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);
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addMouseListener(mouseAdapter);
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addMouseMotionListener(mouseAdapter);
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addKeyListener(keyAdapter);
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Point point = stack.push(points);
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this.Zoom = point.Zoom;
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this.minX = point.minX;
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this.minY = point.minY;
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setVisible(true);
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insets = getInsets();
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this.width = width -= insets.left + insets.right;
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this.height = height -= insets.top + insets.bottom;
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widthHeightRatio = (double) width / height;
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}
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private int rint(double d) {
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return (int) Math.rint(d); // half even
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}
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private void repaint(boolean newImage) {
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this.newImage = newImage;
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repaint();
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}
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private MouseAdapter mouseAdapter = new MouseAdapter() {
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public void mouseClicked(MouseEvent e) {
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stack.push(false);
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if (!ctrl) {
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minX -= width / 2 ;
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minY -= height / 2;
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}
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minX += e.getX() - insets.left;
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minY += e.getY() - insets.top;
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ctrl = false;
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repaint(true);
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}
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public void mousePressed(MouseEvent e) {
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mpX = e.getX();
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mpY = e.getY();
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ctrl = isCtrlDown;
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}
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public void mouseDragged(MouseEvent e) {
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if (!ctrl) return;
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setMdCoord(e);
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repaint();
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}
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private void setMdCoord(MouseEvent e) {
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int dx = e.getX() - mpX;
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int dy = e.getY() - mpY;
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mdX = mpX + max(abs(dx), rint(abs(dy) * widthHeightRatio) * signum(dx));
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mdY = mpY + max(abs(dy), rint(abs(dx) / widthHeightRatio) * signum(dy));
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acceptIf(insets.left, ge(mdX), setMdXY);
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acceptIf(insets.top, ge(mdY), setMdYX);
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acceptIf(insets.left+width-1, le(mdX), setMdXY);
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acceptIf(insets.top+height-1, le(mdY), setMdYX);
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}
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private void acceptIf(int value, Predicate<Integer> p, Consumer<Integer> c) { if (p.test(value)) c.accept(value); }
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private Predicate<Integer> ge(int md) { return v-> v >= md; }
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private Predicate<Integer> le(int md) { return v-> v <= md; }
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private Consumer<Integer> setMdXY = v-> mdY = mpY + rint(abs((mdX=v)-mpX) / widthHeightRatio) * signum(mdY-mpY);
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private Consumer<Integer> setMdYX = v-> mdX = mpX + rint(abs((mdY=v)-mpY) * widthHeightRatio) * signum(mdX-mpX);
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public void mouseReleased(MouseEvent e) {
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if (e.getX() == mpX && e.getY() == mpY) return;
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stack.push(ctrl);
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if (!ctrl) {
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minX += mpX - (mdX = e.getX());
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minY += mpY - (mdY = e.getY());
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}
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else {
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setMdCoord(e);
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if (mdX < mpX) { int t=mpX; mpX=mdX; mdX=t; }
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if (mdY < mpY) { int t=mpY; mpY=mdY; mdY=t; }
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minX += mpX - insets.left;
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minY += mpY - insets.top;
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double rZoom = (double) width / abs(mdX - mpX);
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minX *= rZoom;
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minY *= rZoom;
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Zoom /= rZoom;
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}
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ctrl = false;
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repaint(true);
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}
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};
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private KeyAdapter keyAdapter = new KeyAdapter() {
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public void keyPressed(KeyEvent e) {
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isCtrlDown = e.isControlDown();
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}
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public void keyReleased(KeyEvent e) {
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isCtrlDown = e.isControlDown();
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}
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public void keyTyped(KeyEvent e) {
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char c = e.getKeyChar();
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boolean isEsc = c == VK_ESCAPE;
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if (!isEsc && c != VK_BACK_SLASH) return;
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repaint(stack.pop(isEsc));
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}
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};
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private class Point {
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public boolean type;
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public double Zoom;
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public int minX;
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public int minY;
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Point(boolean type, double Zoom, int minX, int minY) {
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this.type = type;
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this.Zoom = Zoom;
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this.minX = minX;
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this.minY = minY;
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}
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}
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private class Stack extends java.util.Stack<Point> {
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private static final long serialVersionUID = 1L;
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public Point push(boolean type) {
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return push(type, Zoom, minX, minY);
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}
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public Point push(boolean type, double ... point) {
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double Zoom = point[0];
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return push(type, Zoom, rint(point[1]/Zoom), rint(point[2]/Zoom));
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}
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public Point push(boolean type, double Zoom, int minX, int minY) {
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return push(new Point(type, Zoom, minX, minY));
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}
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public Point push(double[] ... points) {
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Point lastPoint = push(false, points[0]);
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for (int i=0, e=points.length-1; i<e; i+=1) {
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double[] point = points[i];
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lastPoint = push(point[0] != points[i+1][0], point);
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done(printPoint(lastPoint));
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}
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return lastPoint;
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}
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public boolean pop(boolean type) {
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for (;;) {
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if (empty()) return false;
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Point d = super.pop();
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Zoom = d.Zoom;
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minX = d.minX;
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minY = d.minY;
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if (!type || d.type) return true;
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}
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}
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}
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@Override
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public void paint(Graphics g) {
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if (newImage) newImage();
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g.drawImage(image, insets.left, insets.top, this);
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//g.drawLine(insets.left+width/2, insets.top+0, insets.left+width/2, insets.top+height);
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//g.drawLine(insets.left+0, insets.top+height/2, insets.left+width, insets.top+height/2);
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if (!ctrl) return;
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g.drawRect(min(mpX, mdX), min(mpY, mdY), abs(mpX - mdX), abs(mpY - mdY));
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}
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private void newImage() {
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long milli = printPoint();
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image = new BufferedImage(width, height, TYPE_INT_RGB);
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int maxX = minX + width;
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int maxY = minY + height;
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for (int x = minX; x < maxX; x+=1) {
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double r = x * Zoom;
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for (int y = minY; y < maxY; y+=1) {
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double i = y * Zoom;
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//System.out.printf("%+f%+fi\n", r, i);
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// 0f 1/6f 1/3f 1/2f 2/3f 5/6f
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//straight -> red yellow green cian blue magenta <- reverse
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image.setRGB(x-minX, y-minY, color(r, i, 360, false, 2/3f));
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}
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}
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newImage = false;
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done(milli);
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}
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private long printPoint() {
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return printPoint(Zoom, minX, minY);
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}
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private long printPoint(Point point) {
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return printPoint(point.Zoom, point.minX, point.minY);
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}
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private long printPoint(double Zoom, int minX, int minY) {
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return printPoint(Zoom, minX*Zoom, minY*Zoom);
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}
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private long printPoint(Object ... point) {
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System.out.printf(ROOT, "{%.16e, %.16g, %.16g},", point);
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return currentTimeMillis();
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}
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private void done(long milli) {
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milli = currentTimeMillis() - milli;
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System.out.println(" // " + milli + "ms done!");
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}
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private int color(double r0, double i0, int max, boolean straight, float shift) {
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int n = -1;
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double r=0, i=0, r2=0, i2=0;
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do {
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i = r*(i+i) + i0;
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r = r2-i2 + r0;
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r2 = r*r;
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i2 = i*i;
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}
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while (++n < max && r2 + i2 < 4);
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return n == max
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? black.getRGB()
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: HSBtoRGB(shift + (float) (straight ? n : max-n) / max * 11/12f + (straight ? 0f : 1/12f), 1, 1)
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;
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}
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}
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