MANDELBROT_OPENMP
Mandelbrot Image using OpenMP {#mandelbrot_openmp-mandelbrot-image-using-openmp align="center"}
MANDELBROT_OPENMP is a C++ program which generates an ASCII Portable Pixel Map (PPM) image of the Mandelbrot set, using OpenMP for parallel execution.
The Mandelbrot set is a set of points C in the complex plane with the property that the iteration
z(n+1) = z(n)^2 + c
remains bounded.
All the points in the Mandelbrot set are known to lie within the circle of radius 2 and center at the origin.
To make a plot of the Mandelbrot set, one starts with a given point C and carries out the iteration for a fixed number of steps. If the iterates never exceed 2 in magnitude, the point C is taken to be a member of the Mandelbrot set.
Creating an image of the Mandelbrot set requires determining the behavior of many points C under the Mandelbrot mapping. But each point can be studied independently of the others, which makes this calculation suitable for a parallel implementation.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
MANDELBROT_OPENMP is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version.
DIJKSTRA_OPENMP, a C++ program which uses OpenMP to parallelize a simple example of Dijkstra's minimum distance algorithm for graphs.
FFT_OPENMP, a C++ program which demonstrates the computation of a Fast Fourier Transform in parallel, using OpenMP.
HEATED_PLATE_OPENMP, a C++ program which solves the steady (time independent) heat equation in a 2D rectangular region, using OpenMP to run in parallel.
HELLO_OPENMP, a C++ program which prints out "Hello, world!" using the OpenMP parallel programming environment.
MANDELBROT, a C++ program which generates an ASCII Portable Pixel Map (PPM) image of the Mandelbrot fractal set;
MD_OPENMP, a C++ program which carries out a molecular dynamics simulation in parallel, using OpenMP.
MULTITASK_OPENMP, a C++ program which demonstrates how to "multitask", that is, to execute several unrelated and distinct tasks simultaneously, using OpenMP for parallel execution.
MXM_OPENMP, a C++ program which computes a dense matrix product C=A*B, using OpenMP for parallel execution.
OPENMP, C++ programs which illustrate the use of OpenMP.
OPENMP_RCC, C++ programs which illustrate how a C program, using OpenMP, can be compiled and run in batch mode on the FSU High Performance Computing (HPC) cluster operated by the Research Computing Center (RCC).
POISSON_OPENMP, a C++ program which computes an approximate solution to the Poisson equation in a rectangle, using the Jacobi iteration to solve the linear system, and OpenMP to carry out the Jacobi iteration in parallel.
PPMA_IO, a C++ library which handles the ASCII Portable Pixel Map (PPM) format.
PRIME_OPENMP, a C++ program which counts the number of primes between 1 and N, using OpenMP for parallel execution.
QUAD_OPENMP, a C++ program which approximates an integral using a quadrature rule, and carries out the computation in parallel using OpenMP.
RANDOM_OPENMP, a C++ program which illustrates how a parallel program using OpenMP can generate multiple distinct streams of random numbers.
SATISFY_OPENMP, a C++ program which demonstrates, for a particular circuit, an exhaustive search for solutions of the circuit satisfiability problem, using OpenMP for parallel execution.
SCHEDULE_OPENMP, a C++ program which demonstrates the default, static, and dynamic methods of "scheduling" loop iterations in OpenMP to avoid work imbalance.
SGEFA_OPENMP, a C++ program which reimplements the SGEFA/SGESL linear algebra routines from LINPACK for use with OpenMP.
ZIGGURAT_OPENMP, a C++ program which demonstrates how the ZIGGURAT library can be used to generate random numbers in an OpenMP parallel program.
- Alexander Dewdney,
A computer microscope zooms in for a close look at the most complicated object in mathematics,
Scientific American,
Volume 257, Number 8, August 1985, pages 16-24. - Heinz-Otto Peitgen, Hartmut Juergens, Dietmar Saupe,
Chaos and Fractals - New Frontiers in Science,
Springer, 1992,
ISBN: 0-387-20229-3,
LC: Q172.5.C45.P45.
- mandelbrot_openmp.cpp, the source code.
- mandelbrot_openmp_output.txt, the output file.
- mandelbrot.ppm, the image created by the program.
- mandelbrot.png, a PNG version
- MAIN is the main program for MANDELBROT_OPENMP.
- TIMESTAMP prints the current YMDHMS date as a time stamp.
You can go up one level to the C++ source codes.
Last revised on 03 September 2012.