Stuff

import java.awt.*;import java.applet.Applet;import java.awt.image.BufferedImage;public class MandelbrotFractal extends Applet {		private int height = 500;	private int width = 500;	private Color [][] picture;	private BufferedImage image;		private Generator gen;		public void init() {		gen = new Generator();		gen.render();		image = matrixToImage(picture);	}		public void paint(Graphics g) {		g.drawImage(image, 0, 0, this);	}		private BufferedImage matrixToImage(Color[][] matrix) {		BufferedImage image = new BufferedImage(width, height, BufferedImage.TYPE_INT_RGB);		for (int i = 0; i < height; ++i) 			for (int k = 0; k < width; ++k)				image.setRGB(k, i, matrix[i][k].getRGB());		return image;	}			private class Generator {		private Complex[][] complex;			private Color[] colors;				public Generator() {			generateColors();		}		public Color[][] render() {						mesh();			picture = new Color[height][width];			int pixelSize = 1;						int nextIm = pixelSize/2;			for(int i = 0; i < height; i++) {							int nextRe = pixelSize/2;				for(int j = 0; j < width; j++) {									Complex c = new Complex(0, 0);					int iterations=0;										while(c.getAbs2() < 4 && iterations<199) {						c.mul(c);						c.add(complex[nextIm][nextRe]);						iterations++;					}										if(iterations == 199)						picture[0][j] = Color.BLACK;					else						picture[0][j] = colors[iterations];					nextRe += pixelSize;									}								nextIm += pixelSize;							}						return picture;					}		private void mesh() {			complex = new Complex[height][width];			double minRe = -2.4;			double maxRe = 0.8;			double minIm = -1.4;			double maxIm = 1.4;			double dRe = (maxRe - minRe) / width;			double dIm = (maxIm - minIm) / height;			for(int i = 0; i < height; i++)				for(int j = 0; j < width; j++)					complex[i][j] = new Complex(minRe + j*dRe, maxIm - i*dIm);		}				private void generateColors() {			colors = new Color[200];			int red = 255;			int green = 255;			int blue = 255;			for(int k = 0; k < 40; k++){ // -> röd				colors[k] = new Color(red,green,blue);				blue -= 5;				green -= 5;			}			for(int k = 0; k < 40; k++){ // -> gul				colors[40+k] = new Color(red,green,blue);				green += 5;			}			for(int k = 0; k < 40; k++){ // -> vit				colors[80+k] = new Color(red,green,blue);				blue += 5;			}			for(int k = 0; k < 40; k++){ // -> turkos				colors[120+k] = new Color(red,green,blue);				red -= 5;			}			for(int k = 0; k < 40; k++){ // -> blå				colors[160+k] = new Color(red,green,blue);				green -= 5;			}		}	}	class Complex {		private double re, im;				public Complex(double re, double im) {			this.re = re;			this.im = im;		}				public double getRe() {			return re;		}				public double getIm() {			return im;		}				public double getAbs2() {			return re*re + im*im;		}				public void add(Complex c) {			re += c.getRe();			im += c.getIm();		}				public void mul(Complex c) {			double r1 = re;			double i1 = im;			double r2 = c.getRe();			double i2 = c.getIm();						re = r1*r2 - i1*i2;			im = r1*i2 + i1*r2;		}				}}