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Introduction

This is a C program to compute the Mandelbrot Set implemented in multiply versions including the serial implementation and two parallellized versions using MPI. A small program written in Python is used for plotting.

Compile

Dependencies: openmpi
Python dependencies: matplotlib

Compile:

$ make all

This will generate 3 versions of the program:

  • mandelserial - a serial implementation
  • mandelequal - a parellelized implementation with cyclic data partition (loop splitting)
  • mandelmaster - a parellelized implementation with master-slave dynamic data partition. Minimum number of processors: 2.

Usage

For the serial implementation:

$ ./mandelserial <x> <y> <radius> <resolution> <maxIter> <filename>

For the parellezed versions:

$ mpirun -n <cores> <executable> <x> <y> <radius> <resolution> <maxIter> <filename>

The arguments

  • x y - the complex number at the center of the region.
  • radius - half width of the window
  • resolution - resolution of the image
  • maxIter - maximum number of iterations allowed
  • filename - output file name. Optional. If not given, no outputfile will be printed.

Plot

The script plot.py can use the output file to generage the image with the same name. cmap is optional, stands for colormap.

$ python plot.py <x> <y> <radius> <filename> <cmap>

Example

Example of usage and plot:

$ mpirun -n 4 mandelmaster -1.185774 0.3049146 0.0001 2048 5000 outfile
$ python3 plot.py -1.185774 0.3049146 0.0001 outfile hot