* Usage: java edu.rit.clu.fractal.MandelbrotSetSeq width height
* xcenter ycenter resolution maxiter gamma
* filename
*
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
*
zi+1 = zi2 + c
*
* until zi'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 zi * 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 sequentially in a single processor. The program
* measures the computation's running time, including the time to write the
* image file. This establishes a benchmark for measuring the computation's
* running time on a parallel processor.
*
* @author Alan Kaminsky
* @version 02-Nov-2007
*/
public class MandelbrotSetSeq
{
// Prevent construction.
private MandelbrotSetSeq()
{
}
// Program shared variables.
// Command line arguments.
static int width;
static int height;
static double xcenter;
static double ycenter;
static double resolution;
static int maxiter;
static double gamma;
static File filename;
// Initial pixel offsets from center.
static int xoffset;
static int yoffset;
// Image matrix.
static int[][] matrix;
static PJGColorImage image;
// Table of hues.
static int[] huetable;
// Main program.
/**
* Mandelbrot Set main program.
*/
public static void main
(String[] args)
throws Exception
{
Comm.init (args);
// Start timing.
long t1 = System.currentTimeMillis();
// Validate command line arguments.
if (args.length != 8) usage();
width = Integer.parseInt (args[0]);
height = Integer.parseInt (args[1]);
xcenter = Double.parseDouble (args[2]);
ycenter = Double.parseDouble (args[3]);
resolution = Double.parseDouble (args[4]);
maxiter = Integer.parseInt (args[5]);
gamma = Double.parseDouble (args[6]);
filename = new File (args[7]);
// Initial pixel offsets from center.
xoffset = -(width - 1) / 2;
yoffset = (height - 1) / 2;
// Create image matrix to store results.
matrix = new int [height] [width];
image = new PJGColorImage (height, width, matrix);
// Create table of hues for different iteration counts.
huetable = new int [maxiter+1];
for (int i = 0; i < maxiter; ++ i)
{
huetable[i] = HSB.pack
(/*hue*/ (float) Math.pow (((double)i)/((double)maxiter),gamma),
/*sat*/ 1.0f,
/*bri*/ 1.0f);
}
huetable[maxiter] = HSB.pack (1.0f, 1.0f, 0.0f);
long t2 = System.currentTimeMillis();
// Compute all rows and columns.
for (int r = 0; r < height; ++ r)
{
int[] matrix_r = matrix[r];
double y = ycenter + (yoffset - r) / resolution;
for (int c = 0; c < width; ++ c)
{
double x = xcenter + (xoffset + c) / resolution;
// Iterate until convergence.
int i = 0;
double aold = 0.0;
double bold = 0.0;
double a = 0.0;
double b = 0.0;
double zmagsqr = 0.0;
while (i < maxiter && zmagsqr <= 4.0)
{
++ i;
a = aold*aold - bold*bold + x;
b = 2.0*aold*bold + y;
zmagsqr = a*a + b*b;
aold = a;
bold = b;
}
// Record number of iterations for pixel.
matrix_r[c] = huetable[i];
}
}
long t3 = System.currentTimeMillis();
// Write image to PJG file.
PJGImage.Writer writer =
image.prepareToWrite
(new BufferedOutputStream
(new FileOutputStream (filename)));
writer.write();
writer.close();
// Stop timing.
long t4 = System.currentTimeMillis();
System.out.println ((t2-t1) + " msec pre");
System.out.println ((t3-t2) + " msec calc");
System.out.println ((t4-t3) + " msec post");
System.out.println ((t4-t1) + " msec total");
}
// Hidden operations.
/**
* Print a usage message and exit.
*/
private static void usage()
{
System.err.println ("Usage: java edu.rit.clu.fractal.MandelbrotSetSeq