edu.rit.smp.fractal
Class MandelbrotSetSmp

java.lang.Object
  edu.rit.smp.fractal.MandelbrotSetSmp

public class MandelbrotSetSmp
extends Object

Class MandelbrotSetSmp is an SMP parallel program that calculates the Mandelbrot Set.

Usage: java -Dpj.nt=K edu.rit.smp.fractal.MandelbrotSetSmp width height xcenter ycenter resolution maxiter gamma filename
K = Number of processors
width = Image width (pixels)
height = Image height (pixels)
xcenter = X coordinate of center point
ycenter = Y coordinate of center point
resolution = Pixels per unit
maxiter = Maximum number of iterations
gamma = Used to calculate pixel hues
filename = PJG image file name

The program considers a rectangular region of the complex plane centered at (xcenter,ycenter) of width pixels by height pixels, where the distance between adjacent pixels is 1/resolution. The program takes each pixel's location as a complex number c and performs the following iteration:

z₀ = 0
z_i+1 = z_i² + c

until z_i's magnitude becomes greater than or equal to 2, or i reaches a limit of maxiter. The complex numbers c where i reaches a limit of maxiter are considered to be in the Mandelbrot Set. (Actually, a number is in the Mandelbrot Set only if the iteration would continue forever without z_i becoming infinite; the foregoing is just an approximation.) The program creates an image with the pixels corresponding to the complex numbers c and the pixels' colors corresponding to the value of i achieved by the iteration. Following the traditional practice, points in the Mandelbrot set are black, and the other points are brightly colored in a range of colors depending on i. The exact hue of each pixel is (i/maxiter)^gamma. The image is stored in a Parallel Java Graphics (PJG) file specified on the command line.

The computation is performed in parallel in multiple processors. The program measures the computation's running time, including the time to write the image file.

Method Summary

static void

main(String[] args) Mandelbrot Set main program.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

main

public static void main(String[] args)
                 throws Exception

Mandelbrot Set main program.

Throws:

Exception