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commit fd9030cc01d34ed231e4add4faeefda9b18cbcc5 0 parents
Piotr Wasilewski authored
2  src/conf/MANIFEST.MF
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+Manifest-Version: 1.0
+
131 src/java/wykres/Complex.java
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+package wykres;
+
+/*************************************************************************
+ * Compilation: javac Complex.java
+ * Execution: java Complex
+ *
+ * Data type for complex numbers.
+ *
+ * The data type is "immutable" so once you create and initialize
+ * a Complex object, you cannot change it. The "final" keyword
+ * when declaring re and im enforces this rule, making it a
+ * compile-time error to change the .re or .im fields after
+ * they've been initialized.
+ *
+ * % java Complex
+ * a = 5.0 + 6.0i
+ * b = -3.0 + 4.0i
+ * Re(a) = 5.0
+ * Im(a) = 6.0
+ * b + a = 2.0 + 10.0i
+ * a - b = 8.0 + 2.0i
+ * a * b = -39.0 + 2.0i
+ * b * a = -39.0 + 2.0i
+ * a / b = 0.36 - 1.52i
+ * (a / b) * b = 5.0 + 6.0i
+ * conj(a) = 5.0 - 6.0i
+ * |a| = 7.810249675906654
+ * tan(a) = -6.685231390246571E-6 + 1.0000103108981198i
+ *
+ *************************************************************************/
+
+public class Complex {
+ private final double re; // the real part
+ private final double im; // the imaginary part
+
+ // create a new object with the given real and imaginary parts
+ public Complex(double real, double imag) {
+ re = real;
+ im = imag;
+ }
+
+ // return a string representation of the invoking Complex object
+ public String toString() {
+ if (im == 0) return re + "";
+ if (re == 0) return im + "i";
+ if (im < 0) return re + " - " + (-im) + "i";
+ return re + " + " + im + "i";
+ }
+
+ public double phase() { return Math.atan2(im, re); } // between -pi and pi
+
+ // return a new Complex object whose value is (this + b)
+ public Complex plus(Complex b) {
+ Complex a = this; // invoking object
+ double real = a.re + b.re;
+ double imag = a.im + b.im;
+ return new Complex(real, imag);
+ }
+
+ // return a new Complex object whose value is (this - b)
+ public Complex minus(Complex b) {
+ Complex a = this;
+ double real = a.re - b.re;
+ double imag = a.im - b.im;
+ return new Complex(real, imag);
+ }
+
+ // return a new Complex object whose value is (this * b)
+ public Complex times(Complex b) {
+ Complex a = this;
+ double real = a.re * b.re - a.im * b.im;
+ double imag = a.re * b.im + a.im * b.re;
+ return new Complex(real, imag);
+ }
+
+ // scalar multiplication
+ // return a new object whose value is (this * alpha)
+ public Complex times(double alpha) {
+ return new Complex(alpha * re, alpha * im);
+ }
+
+ // return a new Complex object whose value is the conjugate of this
+ public Complex conjugate() { return new Complex(re, -im); }
+
+ // return a new Complex object whose value is the reciprocal of this
+ public Complex reciprocal() {
+ double scale = re*re + im*im;
+ return new Complex(re / scale, -im / scale);
+ }
+
+ // return the real or imaginary part
+ public double re() { return re; }
+ public double im() { return im; }
+
+ // return a / b
+ public Complex divides(Complex b) {
+ Complex a = this;
+ return a.times(b.reciprocal());
+ }
+
+ // return a new Complex object whose value is the complex exponential of this
+ public Complex exp() {
+ return new Complex(Math.exp(re) * Math.cos(im), Math.exp(re) * Math.sin(im));
+ }
+
+ // return a new Complex object whose value is the complex sine of this
+ public Complex sin() {
+ return new Complex(Math.sin(re) * Math.cosh(im), Math.cos(re) * Math.sinh(im));
+ }
+
+ // return a new Complex object whose value is the complex cosine of this
+ public Complex cos() {
+ return new Complex(Math.cos(re) * Math.cosh(im), -Math.sin(re) * Math.sinh(im));
+ }
+
+ // return a new Complex object whose value is the complex tangent of this
+ public Complex tan() {
+ return sin().divides(cos());
+ }
+
+
+
+ // a static version of plus
+ public static Complex plus(Complex a, Complex b) {
+ double real = a.re + b.re;
+ double imag = a.im + b.im;
+ Complex sum = new Complex(real, imag);
+ return sum;
+ }
+
+}
75 src/java/wykres/mandelbrot.java
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+package wykres;
+
+import java.io.*;
+import javax.servlet.*;
+import javax.servlet.http.*;
+import java.awt.*;
+import java.awt.image.*;
+import javax.imageio.*;
+import javax.servlet.annotation.WebServlet;
+
+@WebServlet(name = "mandelbrot", urlPatterns = {"/"})
+public class mandelbrot extends HttpServlet
+{
+
+ private double abs(Complex z) {
+ return Math.sqrt(Math.pow(z.re(), 2)+Math.pow(z.im(), 2));
+ }
+
+ private int mand(Complex z0, int max) {
+ Complex z = z0;
+ for (int t = 0; t < max; t++) {
+ if (abs(z) > 2.0) return t;
+ z = z.times(z).plus(z0);
+ }
+ return max;
+ }
+
+ public void doGet(HttpServletRequest req,HttpServletResponse res)
+ {
+
+ //Set the mime type of the image
+ res.setContentType("image/png");
+
+ double size=100;
+ double xc = 2500;
+ double yc = 2500;
+
+ int N = 512; // create N-by-N image
+ int max = 255; // maximum number of iterations
+
+ try
+ {
+ BufferedImage bufferedImage = new BufferedImage(N, N,
+ BufferedImage.TYPE_INT_RGB);
+
+ Graphics g = bufferedImage.getGraphics();
+ g.setColor(Color.white);
+
+ for (int i = 0; i < N; i++) {
+ for (int j = 0; j < N; j++) {
+ double x0 = xc - size/2 + size*i/N;
+ double y0 = yc - size/2 + size*j/N;
+ Complex z0 = new Complex(x0, y0);
+ int gray = max - mand(z0, max);
+ Color color = new Color(gray, gray, gray);
+ g.setColor(color);
+ g.drawLine(i, N-i-j, i, N-i-j);
+ }
+ }
+ //Free graphic resources
+ g.dispose();
+
+ //Write the image as a jpg
+ ImageIO.write(bufferedImage, "png", res.getOutputStream());
+ }
+ catch (IOException ioe)
+ {
+
+ }
+ }
+
+
+
+
+}
20 web/index.jsp
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+<%--
+ Document : index
+ Created on : 2011-12-29, 18:57:19
+ Author : wasil
+--%>
+
+<%@page contentType="text/html" pageEncoding="UTF-8"%>
+<!DOCTYPE html>
+<html>
+ <head>
+ <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+ <title>JSP Page</title>
+ </head>
+ <body>
+ <h1>Hello World!</h1>
+ <form action="mandelbrot" method="GET">
+ <input type="submit" name="Wyslij" value="Pokaż fraktal">
+ </form>
+ </body>
+</html>
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